1,1,28,0,0.751988," ","integrate(sec(b*x+a),x, algorithm=""fricas"")","\frac{\log\left(\sin\left(b x + a\right) + 1\right) - \log\left(-\sin\left(b x + a\right) + 1\right)}{2 \, b}"," ",0,"1/2*(log(sin(b*x + a) + 1) - log(-sin(b*x + a) + 1))/b","B",0
2,1,18,0,0.905376," ","integrate(sec(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sin\left(b x + a\right)}{b \cos\left(b x + a\right)}"," ",0,"sin(b*x + a)/(b*cos(b*x + a))","A",0
3,1,61,0,0.806576," ","integrate(sec(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cos\left(b x + a\right)^{2} \log\left(\sin\left(b x + a\right) + 1\right) - \cos\left(b x + a\right)^{2} \log\left(-\sin\left(b x + a\right) + 1\right) + 2 \, \sin\left(b x + a\right)}{4 \, b \cos\left(b x + a\right)^{2}}"," ",0,"1/4*(cos(b*x + a)^2*log(sin(b*x + a) + 1) - cos(b*x + a)^2*log(-sin(b*x + a) + 1) + 2*sin(b*x + a))/(b*cos(b*x + a)^2)","B",0
4,1,31,0,0.765517," ","integrate(sec(b*x+a)^4,x, algorithm=""fricas"")","\frac{{\left(2 \, \cos\left(b x + a\right)^{2} + 1\right)} \sin\left(b x + a\right)}{3 \, b \cos\left(b x + a\right)^{3}}"," ",0,"1/3*(2*cos(b*x + a)^2 + 1)*sin(b*x + a)/(b*cos(b*x + a)^3)","A",0
5,1,74,0,0.869738," ","integrate(sec(b*x+a)^5,x, algorithm=""fricas"")","\frac{3 \, \cos\left(b x + a\right)^{4} \log\left(\sin\left(b x + a\right) + 1\right) - 3 \, \cos\left(b x + a\right)^{4} \log\left(-\sin\left(b x + a\right) + 1\right) + 2 \, {\left(3 \, \cos\left(b x + a\right)^{2} + 2\right)} \sin\left(b x + a\right)}{16 \, b \cos\left(b x + a\right)^{4}}"," ",0,"1/16*(3*cos(b*x + a)^4*log(sin(b*x + a) + 1) - 3*cos(b*x + a)^4*log(-sin(b*x + a) + 1) + 2*(3*cos(b*x + a)^2 + 2)*sin(b*x + a))/(b*cos(b*x + a)^4)","A",0
6,1,41,0,0.821771," ","integrate(sec(b*x+a)^6,x, algorithm=""fricas"")","\frac{{\left(8 \, \cos\left(b x + a\right)^{4} + 4 \, \cos\left(b x + a\right)^{2} + 3\right)} \sin\left(b x + a\right)}{15 \, b \cos\left(b x + a\right)^{5}}"," ",0,"1/15*(8*cos(b*x + a)^4 + 4*cos(b*x + a)^2 + 3)*sin(b*x + a)/(b*cos(b*x + a)^5)","A",0
7,1,84,0,0.899730," ","integrate(sec(b*x+a)^7,x, algorithm=""fricas"")","\frac{15 \, \cos\left(b x + a\right)^{6} \log\left(\sin\left(b x + a\right) + 1\right) - 15 \, \cos\left(b x + a\right)^{6} \log\left(-\sin\left(b x + a\right) + 1\right) + 2 \, {\left(15 \, \cos\left(b x + a\right)^{4} + 10 \, \cos\left(b x + a\right)^{2} + 8\right)} \sin\left(b x + a\right)}{96 \, b \cos\left(b x + a\right)^{6}}"," ",0,"1/96*(15*cos(b*x + a)^6*log(sin(b*x + a) + 1) - 15*cos(b*x + a)^6*log(-sin(b*x + a) + 1) + 2*(15*cos(b*x + a)^4 + 10*cos(b*x + a)^2 + 8)*sin(b*x + a))/(b*cos(b*x + a)^6)","A",0
8,1,51,0,0.894991," ","integrate(sec(b*x+a)^8,x, algorithm=""fricas"")","\frac{{\left(16 \, \cos\left(b x + a\right)^{6} + 8 \, \cos\left(b x + a\right)^{4} + 6 \, \cos\left(b x + a\right)^{2} + 5\right)} \sin\left(b x + a\right)}{35 \, b \cos\left(b x + a\right)^{7}}"," ",0,"1/35*(16*cos(b*x + a)^6 + 8*cos(b*x + a)^4 + 6*cos(b*x + a)^2 + 5)*sin(b*x + a)/(b*cos(b*x + a)^7)","A",0
9,0,0,0,0.777465," ","integrate(sec(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b x + a\right)^{\frac{7}{2}}, x\right)"," ",0,"integral(sec(b*x + a)^(7/2), x)","F",0
10,0,0,0,0.800112," ","integrate(sec(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b x + a\right)^{\frac{5}{2}}, x\right)"," ",0,"integral(sec(b*x + a)^(5/2), x)","F",0
11,0,0,0,0.594729," ","integrate(sec(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b x + a\right)^{\frac{3}{2}}, x\right)"," ",0,"integral(sec(b*x + a)^(3/2), x)","F",0
12,0,0,0,0.775023," ","integrate(sec(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\sec\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(sec(b*x + a)), x)","F",0
13,0,0,0,0.595215," ","integrate(1/sec(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{\sec\left(b x + a\right)}}, x\right)"," ",0,"integral(1/sqrt(sec(b*x + a)), x)","F",0
14,0,0,0,0.566152," ","integrate(1/sec(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sec\left(b x + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(sec(b*x + a)^(-3/2), x)","F",0
15,0,0,0,0.634425," ","integrate(1/sec(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sec\left(b x + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(sec(b*x + a)^(-5/2), x)","F",0
16,0,0,0,0.693105," ","integrate(1/sec(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sec\left(b x + a\right)^{\frac{7}{2}}}, x\right)"," ",0,"integral(sec(b*x + a)^(-7/2), x)","F",0
17,0,0,0,0.822676," ","integrate((c*sec(b*x+a))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \sec\left(b x + a\right)} c^{3} \sec\left(b x + a\right)^{3}, x\right)"," ",0,"integral(sqrt(c*sec(b*x + a))*c^3*sec(b*x + a)^3, x)","F",0
18,0,0,0,0.685386," ","integrate((c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \sec\left(b x + a\right)} c^{2} \sec\left(b x + a\right)^{2}, x\right)"," ",0,"integral(sqrt(c*sec(b*x + a))*c^2*sec(b*x + a)^2, x)","F",0
19,0,0,0,0.942660," ","integrate((c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \sec\left(b x + a\right)} c \sec\left(b x + a\right), x\right)"," ",0,"integral(sqrt(c*sec(b*x + a))*c*sec(b*x + a), x)","F",0
20,0,0,0,0.680144," ","integrate((c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \sec\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(c*sec(b*x + a)), x)","F",0
21,0,0,0,0.783425," ","integrate(1/(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \sec\left(b x + a\right)}}{c \sec\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(c*sec(b*x + a))/(c*sec(b*x + a)), x)","F",0
22,0,0,0,0.628745," ","integrate(1/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \sec\left(b x + a\right)}}{c^{2} \sec\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(c*sec(b*x + a))/(c^2*sec(b*x + a)^2), x)","F",0
23,0,0,0,0.885957," ","integrate(1/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \sec\left(b x + a\right)}}{c^{3} \sec\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(sqrt(c*sec(b*x + a))/(c^3*sec(b*x + a)^3), x)","F",0
24,0,0,0,0.761285," ","integrate(1/(c*sec(b*x+a))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \sec\left(b x + a\right)}}{c^{4} \sec\left(b x + a\right)^{4}}, x\right)"," ",0,"integral(sqrt(c*sec(b*x + a))/(c^4*sec(b*x + a)^4), x)","F",0
25,0,0,0,0.893800," ","integrate(sec(b*x+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b x + a\right)^{\frac{4}{3}}, x\right)"," ",0,"integral(sec(b*x + a)^(4/3), x)","F",0
26,0,0,0,0.772384," ","integrate(sec(b*x+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b x + a\right)^{\frac{2}{3}}, x\right)"," ",0,"integral(sec(b*x + a)^(2/3), x)","F",0
27,0,0,0,0.719147," ","integrate(sec(b*x+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b x + a\right)^{\frac{1}{3}}, x\right)"," ",0,"integral(sec(b*x + a)^(1/3), x)","F",0
28,0,0,0,0.682463," ","integrate(1/sec(b*x+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sec\left(b x + a\right)^{\frac{1}{3}}}, x\right)"," ",0,"integral(sec(b*x + a)^(-1/3), x)","F",0
29,0,0,0,0.730395," ","integrate(1/sec(b*x+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sec\left(b x + a\right)^{\frac{2}{3}}}, x\right)"," ",0,"integral(sec(b*x + a)^(-2/3), x)","F",0
30,0,0,0,0.755585," ","integrate(1/sec(b*x+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sec\left(b x + a\right)^{\frac{4}{3}}}, x\right)"," ",0,"integral(sec(b*x + a)^(-4/3), x)","F",0
31,0,0,0,0.541037," ","integrate((c*sec(b*x+a))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(c \sec\left(b x + a\right)\right)^{\frac{1}{3}} c \sec\left(b x + a\right), x\right)"," ",0,"integral((c*sec(b*x + a))^(1/3)*c*sec(b*x + a), x)","F",0
32,0,0,0,0.648114," ","integrate((c*sec(b*x+a))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(c \sec\left(b x + a\right)\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((c*sec(b*x + a))^(2/3), x)","F",0
33,0,0,0,0.526445," ","integrate((c*sec(b*x+a))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(c \sec\left(b x + a\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((c*sec(b*x + a))^(1/3), x)","F",0
34,0,0,0,0.816987," ","integrate(1/(c*sec(b*x+a))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c \sec\left(b x + a\right)\right)^{\frac{2}{3}}}{c \sec\left(b x + a\right)}, x\right)"," ",0,"integral((c*sec(b*x + a))^(2/3)/(c*sec(b*x + a)), x)","F",0
35,0,0,0,0.897828," ","integrate(1/(c*sec(b*x+a))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c \sec\left(b x + a\right)\right)^{\frac{1}{3}}}{c \sec\left(b x + a\right)}, x\right)"," ",0,"integral((c*sec(b*x + a))^(1/3)/(c*sec(b*x + a)), x)","F",0
36,0,0,0,0.735432," ","integrate(1/(c*sec(b*x+a))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c \sec\left(b x + a\right)\right)^{\frac{2}{3}}}{c^{2} \sec\left(b x + a\right)^{2}}, x\right)"," ",0,"integral((c*sec(b*x + a))^(2/3)/(c^2*sec(b*x + a)^2), x)","F",0
37,0,0,0,0.868390," ","integrate(sec(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b x + a\right)^{n}, x\right)"," ",0,"integral(sec(b*x + a)^n, x)","F",0
38,0,0,0,0.818310," ","integrate((c*sec(b*x+a))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(c \sec\left(b x + a\right)\right)^{n}, x\right)"," ",0,"integral((c*sec(b*x + a))^n, x)","F",0
39,1,49,0,0.442128," ","integrate((sec(x)^2)^(7/2),x, algorithm=""fricas"")","-\frac{15 \, \cos\left(x\right)^{6} \log\left(\sin\left(x\right) + 1\right) - 15 \, \cos\left(x\right)^{6} \log\left(-\sin\left(x\right) + 1\right) + 2 \, {\left(15 \, \cos\left(x\right)^{4} + 10 \, \cos\left(x\right)^{2} + 8\right)} \sin\left(x\right)}{96 \, \cos\left(x\right)^{6}}"," ",0,"-1/96*(15*cos(x)^6*log(sin(x) + 1) - 15*cos(x)^6*log(-sin(x) + 1) + 2*(15*cos(x)^4 + 10*cos(x)^2 + 8)*sin(x))/cos(x)^6","A",0
40,1,43,0,0.712980," ","integrate((sec(x)^2)^(5/2),x, algorithm=""fricas"")","-\frac{3 \, \cos\left(x\right)^{4} \log\left(\sin\left(x\right) + 1\right) - 3 \, \cos\left(x\right)^{4} \log\left(-\sin\left(x\right) + 1\right) + 2 \, {\left(3 \, \cos\left(x\right)^{2} + 2\right)} \sin\left(x\right)}{16 \, \cos\left(x\right)^{4}}"," ",0,"-1/16*(3*cos(x)^4*log(sin(x) + 1) - 3*cos(x)^4*log(-sin(x) + 1) + 2*(3*cos(x)^2 + 2)*sin(x))/cos(x)^4","A",0
41,1,34,0,0.804566," ","integrate((sec(x)^2)^(3/2),x, algorithm=""fricas"")","-\frac{\cos\left(x\right)^{2} \log\left(\sin\left(x\right) + 1\right) - \cos\left(x\right)^{2} \log\left(-\sin\left(x\right) + 1\right) + 2 \, \sin\left(x\right)}{4 \, \cos\left(x\right)^{2}}"," ",0,"-1/4*(cos(x)^2*log(sin(x) + 1) - cos(x)^2*log(-sin(x) + 1) + 2*sin(x))/cos(x)^2","B",0
42,1,17,0,0.485933," ","integrate((sec(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\sin\left(x\right) + 1\right) + \frac{1}{2} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"-1/2*log(sin(x) + 1) + 1/2*log(-sin(x) + 1)","B",0
43,1,4,0,0.756451," ","integrate(1/(sec(x)^2)^(1/2),x, algorithm=""fricas"")","-\sin\left(x\right)"," ",0,"-sin(x)","A",0
44,1,10,0,0.633843," ","integrate(1/(sec(x)^2)^(3/2),x, algorithm=""fricas"")","-\frac{1}{3} \, {\left(\cos\left(x\right)^{2} + 2\right)} \sin\left(x\right)"," ",0,"-1/3*(cos(x)^2 + 2)*sin(x)","A",0
45,1,18,0,0.630664," ","integrate(1/(sec(x)^2)^(5/2),x, algorithm=""fricas"")","-\frac{1}{15} \, {\left(3 \, \cos\left(x\right)^{4} + 4 \, \cos\left(x\right)^{2} + 8\right)} \sin\left(x\right)"," ",0,"-1/15*(3*cos(x)^4 + 4*cos(x)^2 + 8)*sin(x)","A",0
46,1,24,0,0.535993," ","integrate(1/(sec(x)^2)^(7/2),x, algorithm=""fricas"")","-\frac{1}{35} \, {\left(5 \, \cos\left(x\right)^{6} + 6 \, \cos\left(x\right)^{4} + 8 \, \cos\left(x\right)^{2} + 16\right)} \sin\left(x\right)"," ",0,"-1/35*(5*cos(x)^6 + 6*cos(x)^4 + 8*cos(x)^2 + 16)*sin(x)","A",0
47,1,65,0,0.477103," ","integrate((a*sec(x)^2)^(7/2),x, algorithm=""fricas"")","-\frac{{\left(15 \, a^{3} \cos\left(x\right)^{6} \log\left(-\frac{\sin\left(x\right) - 1}{\sin\left(x\right) + 1}\right) - 2 \, {\left(15 \, a^{3} \cos\left(x\right)^{4} + 10 \, a^{3} \cos\left(x\right)^{2} + 8 \, a^{3}\right)} \sin\left(x\right)\right)} \sqrt{\frac{a}{\cos\left(x\right)^{2}}}}{96 \, \cos\left(x\right)^{5}}"," ",0,"-1/96*(15*a^3*cos(x)^6*log(-(sin(x) - 1)/(sin(x) + 1)) - 2*(15*a^3*cos(x)^4 + 10*a^3*cos(x)^2 + 8*a^3)*sin(x))*sqrt(a/cos(x)^2)/cos(x)^5","A",0
48,1,56,0,0.825747," ","integrate((a*sec(x)^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, a^{2} \cos\left(x\right)^{4} \log\left(-\frac{\sin\left(x\right) - 1}{\sin\left(x\right) + 1}\right) - 2 \, {\left(3 \, a^{2} \cos\left(x\right)^{2} + 2 \, a^{2}\right)} \sin\left(x\right)\right)} \sqrt{\frac{a}{\cos\left(x\right)^{2}}}}{16 \, \cos\left(x\right)^{3}}"," ",0,"-1/16*(3*a^2*cos(x)^4*log(-(sin(x) - 1)/(sin(x) + 1)) - 2*(3*a^2*cos(x)^2 + 2*a^2)*sin(x))*sqrt(a/cos(x)^2)/cos(x)^3","A",0
49,1,39,0,0.668486," ","integrate((a*sec(x)^2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(a \cos\left(x\right)^{2} \log\left(-\frac{\sin\left(x\right) - 1}{\sin\left(x\right) + 1}\right) - 2 \, a \sin\left(x\right)\right)} \sqrt{\frac{a}{\cos\left(x\right)^{2}}}}{4 \, \cos\left(x\right)}"," ",0,"-1/4*(a*cos(x)^2*log(-(sin(x) - 1)/(sin(x) + 1)) - 2*a*sin(x))*sqrt(a/cos(x)^2)/cos(x)","A",0
50,1,55,0,0.636943," ","integrate((a*sec(x)^2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{1}{2} \, \sqrt{\frac{a}{\cos\left(x\right)^{2}}} \cos\left(x\right) \log\left(-\frac{\sin\left(x\right) - 1}{\sin\left(x\right) + 1}\right), -\sqrt{-a} \arctan\left(\frac{\sqrt{-a} \sqrt{\frac{a}{\cos\left(x\right)^{2}}} \cos\left(x\right) \sin\left(x\right)}{a}\right)\right]"," ",0,"[-1/2*sqrt(a/cos(x)^2)*cos(x)*log(-(sin(x) - 1)/(sin(x) + 1)), -sqrt(-a)*arctan(sqrt(-a)*sqrt(a/cos(x)^2)*cos(x)*sin(x)/a)]","A",0
51,1,16,0,0.618265," ","integrate(1/(a*sec(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{a}{\cos\left(x\right)^{2}}} \cos\left(x\right) \sin\left(x\right)}{a}"," ",0,"sqrt(a/cos(x)^2)*cos(x)*sin(x)/a","A",0
52,1,24,0,0.561986," ","integrate(1/(a*sec(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(\cos\left(x\right)^{3} + 2 \, \cos\left(x\right)\right)} \sqrt{\frac{a}{\cos\left(x\right)^{2}}} \sin\left(x\right)}{3 \, a^{2}}"," ",0,"1/3*(cos(x)^3 + 2*cos(x))*sqrt(a/cos(x)^2)*sin(x)/a^2","A",0
53,1,32,0,0.809009," ","integrate(1/(a*sec(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(3 \, \cos\left(x\right)^{5} + 4 \, \cos\left(x\right)^{3} + 8 \, \cos\left(x\right)\right)} \sqrt{\frac{a}{\cos\left(x\right)^{2}}} \sin\left(x\right)}{15 \, a^{3}}"," ",0,"1/15*(3*cos(x)^5 + 4*cos(x)^3 + 8*cos(x))*sqrt(a/cos(x)^2)*sin(x)/a^3","A",0
54,1,38,0,0.731821," ","integrate(1/(a*sec(x)^2)^(7/2),x, algorithm=""fricas"")","\frac{{\left(5 \, \cos\left(x\right)^{7} + 6 \, \cos\left(x\right)^{5} + 8 \, \cos\left(x\right)^{3} + 16 \, \cos\left(x\right)\right)} \sqrt{\frac{a}{\cos\left(x\right)^{2}}} \sin\left(x\right)}{35 \, a^{4}}"," ",0,"1/35*(5*cos(x)^7 + 6*cos(x)^5 + 8*cos(x)^3 + 16*cos(x))*sqrt(a/cos(x)^2)*sin(x)/a^4","A",0
55,0,0,0,0.829479," ","integrate((a*sec(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \sec\left(x\right)^{3}} a^{2} \sec\left(x\right)^{6}, x\right)"," ",0,"integral(sqrt(a*sec(x)^3)*a^2*sec(x)^6, x)","F",0
56,0,0,0,0.701699," ","integrate((a*sec(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \sec\left(x\right)^{3}} a \sec\left(x\right)^{3}, x\right)"," ",0,"integral(sqrt(a*sec(x)^3)*a*sec(x)^3, x)","F",0
57,0,0,0,0.549605," ","integrate((a*sec(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \sec\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*sec(x)^3), x)","F",0
58,0,0,0,0.566577," ","integrate(1/(a*sec(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \sec\left(x\right)^{3}}}{a \sec\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*sec(x)^3)/(a*sec(x)^3), x)","F",0
59,0,0,0,0.516289," ","integrate(1/(a*sec(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \sec\left(x\right)^{3}}}{a^{2} \sec\left(x\right)^{6}}, x\right)"," ",0,"integral(sqrt(a*sec(x)^3)/(a^2*sec(x)^6), x)","F",0
60,0,0,0,0.580096," ","integrate(1/(a*sec(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \sec\left(x\right)^{3}}}{a^{3} \sec\left(x\right)^{9}}, x\right)"," ",0,"integral(sqrt(a*sec(x)^3)/(a^3*sec(x)^9), x)","F",0
61,1,76,0,0.680056," ","integrate((a*sec(x)^4)^(7/2),x, algorithm=""fricas"")","\frac{{\left(1024 \, a^{3} \cos\left(x\right)^{12} + 512 \, a^{3} \cos\left(x\right)^{10} + 384 \, a^{3} \cos\left(x\right)^{8} + 320 \, a^{3} \cos\left(x\right)^{6} + 280 \, a^{3} \cos\left(x\right)^{4} + 252 \, a^{3} \cos\left(x\right)^{2} + 231 \, a^{3}\right)} \sqrt{\frac{a}{\cos\left(x\right)^{4}}} \sin\left(x\right)}{3003 \, \cos\left(x\right)^{11}}"," ",0,"1/3003*(1024*a^3*cos(x)^12 + 512*a^3*cos(x)^10 + 384*a^3*cos(x)^8 + 320*a^3*cos(x)^6 + 280*a^3*cos(x)^4 + 252*a^3*cos(x)^2 + 231*a^3)*sqrt(a/cos(x)^4)*sin(x)/cos(x)^11","A",0
62,1,58,0,0.628569," ","integrate((a*sec(x)^4)^(5/2),x, algorithm=""fricas"")","\frac{{\left(128 \, a^{2} \cos\left(x\right)^{8} + 64 \, a^{2} \cos\left(x\right)^{6} + 48 \, a^{2} \cos\left(x\right)^{4} + 40 \, a^{2} \cos\left(x\right)^{2} + 35 \, a^{2}\right)} \sqrt{\frac{a}{\cos\left(x\right)^{4}}} \sin\left(x\right)}{315 \, \cos\left(x\right)^{7}}"," ",0,"1/315*(128*a^2*cos(x)^8 + 64*a^2*cos(x)^6 + 48*a^2*cos(x)^4 + 40*a^2*cos(x)^2 + 35*a^2)*sqrt(a/cos(x)^4)*sin(x)/cos(x)^7","A",0
63,1,34,0,0.603318," ","integrate((a*sec(x)^4)^(3/2),x, algorithm=""fricas"")","\frac{{\left(8 \, a \cos\left(x\right)^{4} + 4 \, a \cos\left(x\right)^{2} + 3 \, a\right)} \sqrt{\frac{a}{\cos\left(x\right)^{4}}} \sin\left(x\right)}{15 \, \cos\left(x\right)^{3}}"," ",0,"1/15*(8*a*cos(x)^4 + 4*a*cos(x)^2 + 3*a)*sqrt(a/cos(x)^4)*sin(x)/cos(x)^3","A",0
64,1,13,0,0.582417," ","integrate((a*sec(x)^4)^(1/2),x, algorithm=""fricas"")","\sqrt{\frac{a}{\cos\left(x\right)^{4}}} \cos\left(x\right) \sin\left(x\right)"," ",0,"sqrt(a/cos(x)^4)*cos(x)*sin(x)","A",0
65,1,27,0,0.681662," ","integrate(1/(a*sec(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{{\left(\cos\left(x\right)^{3} \sin\left(x\right) + x \cos\left(x\right)^{2}\right)} \sqrt{\frac{a}{\cos\left(x\right)^{4}}}}{2 \, a}"," ",0,"1/2*(cos(x)^3*sin(x) + x*cos(x)^2)*sqrt(a/cos(x)^4)/a","A",0
66,1,43,0,0.673487," ","integrate(1/(a*sec(x)^4)^(3/2),x, algorithm=""fricas"")","\frac{{\left(15 \, x \cos\left(x\right)^{2} + {\left(8 \, \cos\left(x\right)^{7} + 10 \, \cos\left(x\right)^{5} + 15 \, \cos\left(x\right)^{3}\right)} \sin\left(x\right)\right)} \sqrt{\frac{a}{\cos\left(x\right)^{4}}}}{48 \, a^{2}}"," ",0,"1/48*(15*x*cos(x)^2 + (8*cos(x)^7 + 10*cos(x)^5 + 15*cos(x)^3)*sin(x))*sqrt(a/cos(x)^4)/a^2","A",0
67,1,55,0,0.674631," ","integrate(1/(a*sec(x)^4)^(5/2),x, algorithm=""fricas"")","\frac{{\left(315 \, x \cos\left(x\right)^{2} + {\left(128 \, \cos\left(x\right)^{11} + 144 \, \cos\left(x\right)^{9} + 168 \, \cos\left(x\right)^{7} + 210 \, \cos\left(x\right)^{5} + 315 \, \cos\left(x\right)^{3}\right)} \sin\left(x\right)\right)} \sqrt{\frac{a}{\cos\left(x\right)^{4}}}}{1280 \, a^{3}}"," ",0,"1/1280*(315*x*cos(x)^2 + (128*cos(x)^11 + 144*cos(x)^9 + 168*cos(x)^7 + 210*cos(x)^5 + 315*cos(x)^3)*sin(x))*sqrt(a/cos(x)^4)/a^3","A",0
68,0,0,0,0.862969," ","integrate(((b*sec(d*x+c))^p)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(\left(b \sec\left(d x + c\right)\right)^{p}\right)}^{n}, x\right)"," ",0,"integral(((b*sec(d*x + c))^p)^n, x)","F",0
69,0,0,0,0.888451," ","integrate((a*(b*sec(d*x+c))^p)^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(\left(b \sec\left(d x + c\right)\right)^{p} a\right)^{n}, x\right)"," ",0,"integral(((b*sec(d*x + c))^p*a)^n, x)","F",0
70,0,0,0,0.668182," ","integrate(sec(d*x+c)^4*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^4, x)","F",0
71,0,0,0,0.896645," ","integrate(sec(d*x+c)^3*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^3, x)","F",0
72,0,0,0,0.621040," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^2, x)","F",0
73,0,0,0,0.990422," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c), x)","F",0
74,0,0,0,0.702463," ","integrate((b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c)), x)","F",0
75,0,0,0,0.623761," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c), x)","F",0
76,0,0,0,0.751406," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^2, x)","F",0
77,0,0,0,0.767259," ","integrate(cos(d*x+c)^3*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^3, x)","F",0
78,0,0,0,1.145325," ","integrate(cos(d*x+c)^4*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^4, x)","F",0
79,0,0,0,0.799817," ","integrate(cos(d*x+c)^5*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{5}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^5, x)","F",0
80,0,0,0,0.640718," ","integrate(sec(d*x+c)^3*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*sec(d*x + c)^4, x)","F",0
81,0,0,0,0.664726," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*sec(d*x + c)^3, x)","F",0
82,0,0,0,0.715842," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*sec(d*x + c)^2, x)","F",0
83,0,0,0,0.796467," ","integrate((b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*sec(d*x + c), x)","F",0
84,0,0,0,0.581729," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \cos\left(d x + c\right) \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*cos(d*x + c)*sec(d*x + c), x)","F",0
85,0,0,0,0.784120," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \cos\left(d x + c\right)^{2} \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*cos(d*x + c)^2*sec(d*x + c), x)","F",0
86,0,0,0,0.653812," ","integrate(cos(d*x+c)^3*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \cos\left(d x + c\right)^{3} \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*cos(d*x + c)^3*sec(d*x + c), x)","F",0
87,0,0,0,0.700474," ","integrate(cos(d*x+c)^4*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \cos\left(d x + c\right)^{4} \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*cos(d*x + c)^4*sec(d*x + c), x)","F",0
88,0,0,0,0.649740," ","integrate(cos(d*x+c)^5*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \cos\left(d x + c\right)^{5} \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*cos(d*x + c)^5*sec(d*x + c), x)","F",0
89,0,0,0,0.601470," ","integrate(cos(d*x+c)^6*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b \cos\left(d x + c\right)^{6} \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b*cos(d*x + c)^6*sec(d*x + c), x)","F",0
90,0,0,0,0.731992," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{2} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^2*sec(d*x + c)^4, x)","F",0
91,0,0,0,0.610796," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{2} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^2*sec(d*x + c)^3, x)","F",0
92,0,0,0,0.705896," ","integrate((b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{2} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^2*sec(d*x + c)^2, x)","F",0
93,0,0,0,0.579487," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{2} \cos\left(d x + c\right) \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^2*cos(d*x + c)*sec(d*x + c)^2, x)","F",0
94,0,0,0,0.922186," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\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*sec(d*x + c))*b^2*cos(d*x + c)^2*sec(d*x + c)^2, x)","F",0
95,0,0,0,0.878083," ","integrate(cos(d*x+c)^3*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{3} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^2*cos(d*x + c)^3*sec(d*x + c)^2, x)","F",0
96,0,0,0,0.496628," ","integrate(cos(d*x+c)^4*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{4} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^2*cos(d*x + c)^4*sec(d*x + c)^2, x)","F",0
97,0,0,0,0.644845," ","integrate(cos(d*x+c)^5*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{5} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^2*cos(d*x + c)^5*sec(d*x + c)^2, x)","F",0
98,0,0,0,1.390122," ","integrate(cos(d*x+c)^6*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{6} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^2*cos(d*x + c)^6*sec(d*x + c)^2, x)","F",0
99,0,0,0,0.767621," ","integrate(cos(d*x+c)^7*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{7} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^2*cos(d*x + c)^7*sec(d*x + c)^2, x)","F",0
100,0,0,0,0.796680," ","integrate((b*sec(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sec\left(d x + c\right)} b^{3} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*b^3*sec(d*x + c)^3, x)","F",0
101,0,0,0,0.543706," ","integrate(sec(d*x+c)^5/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{4}}{b}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^4/b, x)","F",0
102,0,0,0,0.688581," ","integrate(sec(d*x+c)^4/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{3}}{b}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^3/b, x)","F",0
103,0,0,0,1.574703," ","integrate(sec(d*x+c)^3/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{2}}{b}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^2/b, x)","F",0
104,0,0,0,0.688013," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)}{b}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)/b, x)","F",0
105,0,0,0,0.611125," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/b, x)","F",0
106,0,0,0,0.637399," ","integrate(1/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/(b*sec(d*x + c)), x)","F",0
107,0,0,0,0.649254," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)/(b*sec(d*x + c)), x)","F",0
108,0,0,0,0.550857," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{2}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^2/(b*sec(d*x + c)), x)","F",0
109,0,0,0,0.769896," ","integrate(cos(d*x+c)^3/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{3}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^3/(b*sec(d*x + c)), x)","F",0
110,0,0,0,0.674957," ","integrate(cos(d*x+c)^4/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{4}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^4/(b*sec(d*x + c)), x)","F",0
111,0,0,0,0.644961," ","integrate(sec(d*x+c)^6/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{4}}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^4/b^2, x)","F",0
112,0,0,0,0.634916," ","integrate(sec(d*x+c)^5/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{3}}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^3/b^2, x)","F",0
113,0,0,0,0.592140," ","integrate(sec(d*x+c)^4/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{2}}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^2/b^2, x)","F",0
114,0,0,0,0.568644," ","integrate(sec(d*x+c)^3/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)/b^2, x)","F",0
115,0,0,0,0.665486," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/b^2, x)","F",0
116,0,0,0,0.543540," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b^{2} \sec\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/(b^2*sec(d*x + c)), x)","F",0
117,0,0,0,0.843885," ","integrate(1/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/(b^2*sec(d*x + c)^2), x)","F",0
118,0,0,0,0.604380," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)/(b^2*sec(d*x + c)^2), x)","F",0
119,0,0,0,0.822476," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{2}}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^2/(b^2*sec(d*x + c)^2), x)","F",0
120,0,0,0,0.643112," ","integrate(cos(d*x+c)^3/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{3}}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^3/(b^2*sec(d*x + c)^2), x)","F",0
121,0,0,0,0.661536," ","integrate(sec(d*x+c)^7/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{4}}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^4/b^3, x)","F",0
122,0,0,0,0.569607," ","integrate(sec(d*x+c)^6/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{3}}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^3/b^3, x)","F",0
123,0,0,0,0.730222," ","integrate(sec(d*x+c)^5/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{2}}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)^2/b^3, x)","F",0
124,0,0,0,0.629654," ","integrate(sec(d*x+c)^4/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*sec(d*x + c)/b^3, x)","F",0
125,0,0,0,0.544711," ","integrate(sec(d*x+c)^3/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/b^3, x)","F",0
126,0,0,0,0.501737," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b^{3} \sec\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/(b^3*sec(d*x + c)), x)","F",0
127,0,0,0,0.631010," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b^{3} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/(b^3*sec(d*x + c)^2), x)","F",0
128,0,0,0,0.672530," ","integrate(1/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b^{3} \sec\left(d x + c\right)^{3}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/(b^3*sec(d*x + c)^3), x)","F",0
129,0,0,0,0.776900," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)}{b^{3} \sec\left(d x + c\right)^{3}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)/(b^3*sec(d*x + c)^3), x)","F",0
130,0,0,0,0.683264," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{2}}{b^{3} \sec\left(d x + c\right)^{3}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))*cos(d*x + c)^2/(b^3*sec(d*x + c)^3), x)","F",0
131,0,0,0,0.883617," ","integrate(1/(b*sec(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sec\left(d x + c\right)}}{b^{4} \sec\left(d x + c\right)^{4}}, x\right)"," ",0,"integral(sqrt(b*sec(d*x + c))/(b^4*sec(d*x + c)^4), x)","F",0
132,1,229,0,0.668005," ","integrate(sec(d*x+c)^(9/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{b} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right) + \frac{2 \, {\left(3 \, \cos\left(d x + c\right)^{2} + 2\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{16 \, d \cos\left(d x + c\right)^{3}}, -\frac{3 \, \sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right) \cos\left(d x + c\right)^{3} - \frac{{\left(3 \, \cos\left(d x + c\right)^{2} + 2\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{8 \, d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/16*(3*sqrt(b)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2) + 2*(3*cos(d*x + c)^2 + 2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c)^3), -1/8*(3*sqrt(-b)*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)*cos(d*x + c)^3 - (3*cos(d*x + c)^2 + 2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c)^3)]","A",0
133,1,43,0,0.627783," ","integrate(sec(d*x+c)^(7/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, \cos\left(d x + c\right)^{2} + 1\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{3 \, d \cos\left(d x + c\right)^{\frac{5}{2}}}"," ",0,"1/3*(2*cos(d*x + c)^2 + 1)*sqrt(b/cos(d*x + c))*sin(d*x + c)/(d*cos(d*x + c)^(5/2))","A",0
134,1,199,0,0.770156," ","integrate(sec(d*x+c)^(5/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right) + \frac{2 \, \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{4 \, d \cos\left(d x + c\right)}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right) \cos\left(d x + c\right) - \frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{2 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/4*(sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2) + 2*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c)), -1/2*(sqrt(-b)*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)*cos(d*x + c) - sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c))]","A",0
135,1,30,0,0.814649," ","integrate(sec(d*x+c)^(3/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{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
136,1,111,0,0.693001," ","integrate(sec(d*x+c)^(1/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b} \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right)}{2 \, d}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right)}{d}\right]"," ",0,"[1/2*sqrt(b)*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2)/d, -sqrt(-b)*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)/d]","A",0
137,1,98,0,0.601202," ","integrate((b*sec(d*x+c))^(1/2)/sec(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{-b} \log\left(-2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{2 \, d}, \frac{\sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{d}\right]"," ",0,"[1/2*sqrt(-b)*log(-2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b)/d, sqrt(b)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c))))/d]","A",0
138,1,30,0,0.667444," ","integrate((b*sec(d*x+c))^(1/2)/sec(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d}"," ",0,"sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/d","A",0
139,1,158,0,0.783827," ","integrate((b*sec(d*x+c))^(1/2)/sec(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + \sqrt{-b} \log\left(-2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{4 \, d}, \frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + \sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{2 \, d}\right]"," ",0,"[1/4*(2*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + sqrt(-b)*log(-2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b))/d, 1/2*(sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + sqrt(b)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))))/d]","A",0
140,1,48,0,0.876351," ","integrate((b*sec(d*x+c))^(1/2)/sec(d*x+c)^(7/2),x, algorithm=""fricas"")","\frac{{\left(\cos\left(d x + c\right)^{3} + 2 \, \cos\left(d x + c\right)\right)} \sqrt{\frac{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*(cos(d*x + c)^3 + 2*cos(d*x + c))*sqrt(b/cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
141,1,202,0,0.683923," ","integrate((b*sec(d*x+c))^(1/2)/sec(d*x+c)^(9/2),x, algorithm=""fricas"")","\left[\frac{\frac{2 \, {\left(2 \, \cos\left(d x + c\right)^{4} + 3 \, \cos\left(d x + c\right)^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}} + 3 \, \sqrt{-b} \log\left(-2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{16 \, d}, \frac{\frac{{\left(2 \, \cos\left(d x + c\right)^{4} + 3 \, \cos\left(d x + c\right)^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}} + 3 \, \sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{8 \, d}\right]"," ",0,"[1/16*(2*(2*cos(d*x + c)^4 + 3*cos(d*x + c)^2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)) + 3*sqrt(-b)*log(-2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b))/d, 1/8*((2*cos(d*x + c)^4 + 3*cos(d*x + c)^2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)) + 3*sqrt(b)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))))/d]","A",0
142,1,236,0,0.824444," ","integrate(sec(d*x+c)^(7/2)*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, b^{\frac{3}{2}} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right) + \frac{2 \, {\left(3 \, b \cos\left(d x + c\right)^{2} + 2 \, b\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{16 \, d \cos\left(d x + c\right)^{3}}, -\frac{3 \, \sqrt{-b} b \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right) \cos\left(d x + c\right)^{3} - \frac{{\left(3 \, b \cos\left(d x + c\right)^{2} + 2 \, b\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{8 \, d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/16*(3*b^(3/2)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2) + 2*(3*b*cos(d*x + c)^2 + 2*b)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c)^3), -1/8*(3*sqrt(-b)*b*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)*cos(d*x + c)^3 - (3*b*cos(d*x + c)^2 + 2*b)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c)^3)]","A",0
143,1,44,0,0.819411," ","integrate(sec(d*x+c)^(5/2)*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b \cos\left(d x + c\right)^{2} + b\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{3 \, d \cos\left(d x + c\right)^{\frac{5}{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)^(5/2))","A",0
144,1,202,0,0.853492," ","integrate(sec(d*x+c)^(3/2)*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{b^{\frac{3}{2}} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right) + \frac{2 \, b \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{4 \, d \cos\left(d x + c\right)}, -\frac{\sqrt{-b} b \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right) \cos\left(d x + c\right) - \frac{b \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{2 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/4*(b^(3/2)*cos(d*x + c)*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2) + 2*b*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c)), -1/2*(sqrt(-b)*b*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)*cos(d*x + c) - b*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c))]","A",0
145,1,31,0,0.659299," ","integrate(sec(d*x+c)^(1/2)*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{b \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{d \sqrt{\cos\left(d x + c\right)}}"," ",0,"b*sqrt(b/cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
146,1,112,0,1.096593," ","integrate((b*sec(d*x+c))^(3/2)/sec(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{b^{\frac{3}{2}} \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right)}{2 \, d}, -\frac{\sqrt{-b} b \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right)}{d}\right]"," ",0,"[1/2*b^(3/2)*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2)/d, -sqrt(-b)*b*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)/d]","A",0
147,1,99,0,0.794099," ","integrate((b*sec(d*x+c))^(3/2)/sec(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{-b} b \log\left(-2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{2 \, d}, \frac{b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{d}\right]"," ",0,"[1/2*sqrt(-b)*b*log(-2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b)/d, b^(3/2)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c))))/d]","A",0
148,1,31,0,0.650644," ","integrate((b*sec(d*x+c))^(3/2)/sec(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{b \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d}"," ",0,"b*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/d","A",0
149,1,161,0,0.846879," ","integrate((b*sec(d*x+c))^(3/2)/sec(d*x+c)^(7/2),x, algorithm=""fricas"")","\left[\frac{2 \, b \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + \sqrt{-b} b \log\left(-2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{4 \, d}, \frac{b \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{2 \, d}\right]"," ",0,"[1/4*(2*b*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + sqrt(-b)*b*log(-2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b))/d, 1/2*(b*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + b^(3/2)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))))/d]","A",0
150,1,51,0,0.436946," ","integrate((b*sec(d*x+c))^(3/2)/sec(d*x+c)^(9/2),x, algorithm=""fricas"")","\frac{{\left(b \cos\left(d x + c\right)^{3} + 2 \, b \cos\left(d x + c\right)\right)} \sqrt{\frac{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)^3 + 2*b*cos(d*x + c))*sqrt(b/cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
151,1,207,0,0.732320," ","integrate((b*sec(d*x+c))^(3/2)/sec(d*x+c)^(11/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{-b} b \log\left(-2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right) + \frac{2 \, {\left(2 \, b \cos\left(d x + c\right)^{4} + 3 \, b \cos\left(d x + c\right)^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{16 \, d}, \frac{3 \, b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right) + \frac{{\left(2 \, b \cos\left(d x + c\right)^{4} + 3 \, b \cos\left(d x + c\right)^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{8 \, d}\right]"," ",0,"[1/16*(3*sqrt(-b)*b*log(-2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b) + 2*(2*b*cos(d*x + c)^4 + 3*b*cos(d*x + c)^2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/d, 1/8*(3*b^(3/2)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))) + (2*b*cos(d*x + c)^4 + 3*b*cos(d*x + c)^2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/d]","A",0
152,1,63,0,0.551516," ","integrate(sec(d*x+c)^(7/2)*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{{\left(8 \, b^{2} \cos\left(d x + c\right)^{4} + 4 \, b^{2} \cos\left(d x + c\right)^{2} + 3 \, b^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{15 \, d \cos\left(d x + c\right)^{\frac{9}{2}}}"," ",0,"1/15*(8*b^2*cos(d*x + c)^4 + 4*b^2*cos(d*x + c)^2 + 3*b^2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/(d*cos(d*x + c)^(9/2))","A",0
153,1,48,0,0.533387," ","integrate(sec(d*x+c)^(3/2)*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} \cos\left(d x + c\right)^{2} + b^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{3 \, d \cos\left(d x + c\right)^{\frac{5}{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)^(5/2))","A",0
154,1,208,0,0.598776," ","integrate(sec(d*x+c)^(1/2)*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{b^{\frac{5}{2}} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right) + \frac{2 \, b^{2} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{4 \, d \cos\left(d x + c\right)}, -\frac{\sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right) \cos\left(d x + c\right) - \frac{b^{2} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{2 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/4*(b^(5/2)*cos(d*x + c)*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2) + 2*b^2*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c)), -1/2*(sqrt(-b)*b^2*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)*cos(d*x + c) - b^2*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(d*cos(d*x + c))]","A",0
155,1,33,0,0.721436," ","integrate((b*sec(d*x+c))^(5/2)/sec(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{b^{2} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{d \sqrt{\cos\left(d x + c\right)}}"," ",0,"b^2*sqrt(b/cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
156,1,114,0,0.615433," ","integrate((b*sec(d*x+c))^(5/2)/sec(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{b^{\frac{5}{2}} \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right)}{2 \, d}, -\frac{\sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right)}{d}\right]"," ",0,"[1/2*b^(5/2)*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2)/d, -sqrt(-b)*b^2*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)/d]","A",0
157,1,101,0,0.845390," ","integrate((b*sec(d*x+c))^(5/2)/sec(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{-b} b^{2} \log\left(-2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{2 \, d}, \frac{b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{d}\right]"," ",0,"[1/2*sqrt(-b)*b^2*log(-2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b)/d, b^(5/2)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c))))/d]","A",0
158,1,33,0,0.750673," ","integrate((b*sec(d*x+c))^(5/2)/sec(d*x+c)^(7/2),x, algorithm=""fricas"")","\frac{b^{2} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d}"," ",0,"b^2*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/d","A",0
159,1,167,0,0.826382," ","integrate((b*sec(d*x+c))^(5/2)/sec(d*x+c)^(9/2),x, algorithm=""fricas"")","\left[\frac{2 \, b^{2} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + \sqrt{-b} b^{2} \log\left(-2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{4 \, d}, \frac{b^{2} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{2 \, d}\right]"," ",0,"[1/4*(2*b^2*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + sqrt(-b)*b^2*log(-2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b))/d, 1/2*(b^2*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + b^(5/2)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))))/d]","A",0
160,1,55,0,0.737368," ","integrate((b*sec(d*x+c))^(5/2)/sec(d*x+c)^(11/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} \cos\left(d x + c\right)^{3} + 2 \, b^{2} \cos\left(d x + c\right)\right)} \sqrt{\frac{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)^3 + 2*b^2*cos(d*x + c))*sqrt(b/cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
161,1,205,0,0.715060," ","integrate(sec(d*x+c)^(7/2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right) + \frac{2 \, \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{4 \, b d \cos\left(d x + c\right)}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right) \cos\left(d x + c\right) - \frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{2 \, b d \cos\left(d x + c\right)}\right]"," ",0,"[1/4*(sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2) + 2*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(b*d*cos(d*x + c)), -1/2*(sqrt(-b)*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)*cos(d*x + c) - sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(b*d*cos(d*x + c))]","A",0
162,1,33,0,0.440351," ","integrate(sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{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
163,1,114,0,0.636994," ","integrate(sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right)}{2 \, \sqrt{b} d}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right)}{b d}\right]"," ",0,"[1/2*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2)/(sqrt(b)*d), -sqrt(-b)*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)/(b*d)]","A",0
164,1,101,0,0.831311," ","integrate(sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{2 \, b d}, \frac{\arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{\sqrt{b} d}\right]"," ",0,"[-1/2*sqrt(-b)*log(2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b)/(b*d), arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c))))/(sqrt(b)*d)]","A",0
165,1,33,0,0.789762," ","integrate(1/sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b d}"," ",0,"sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/(b*d)","A",0
166,1,165,0,0.612691," ","integrate(1/sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) - \sqrt{-b} \log\left(2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{4 \, b d}, \frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + \sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{2 \, b d}\right]"," ",0,"[1/4*(2*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) - sqrt(-b)*log(2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b))/(b*d), 1/2*(sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + sqrt(b)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))))/(b*d)]","A",0
167,1,51,0,0.673716," ","integrate(1/sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{{\left(\cos\left(d x + c\right)^{3} + 2 \, \cos\left(d x + c\right)\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{3 \, b d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*(cos(d*x + c)^3 + 2*cos(d*x + c))*sqrt(b/cos(d*x + c))*sin(d*x + c)/(b*d*sqrt(cos(d*x + c)))","A",0
168,1,205,0,0.950480," ","integrate(sec(d*x+c)^(9/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right) + \frac{2 \, \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{4 \, b^{2} d \cos\left(d x + c\right)}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right) \cos\left(d x + c\right) - \frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{2 \, b^{2} d \cos\left(d x + c\right)}\right]"," ",0,"[1/4*(sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2) + 2*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(b^2*d*cos(d*x + c)), -1/2*(sqrt(-b)*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)*cos(d*x + c) - sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(b^2*d*cos(d*x + c))]","A",0
169,1,33,0,0.676688," ","integrate(sec(d*x+c)^(7/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{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
170,1,114,0,0.706139," ","integrate(sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right)}{2 \, b^{\frac{3}{2}} d}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right)}{b^{2} d}\right]"," ",0,"[1/2*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2)/(b^(3/2)*d), -sqrt(-b)*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)/(b^2*d)]","A",0
171,1,101,0,0.996778," ","integrate(sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{2 \, b^{2} d}, \frac{\arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{b^{\frac{3}{2}} d}\right]"," ",0,"[-1/2*sqrt(-b)*log(2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b)/(b^2*d), arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c))))/(b^(3/2)*d)]","A",0
172,1,33,0,0.728595," ","integrate(sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{2} d}"," ",0,"sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/(b^2*d)","A",0
173,1,165,0,0.634631," ","integrate(1/sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) - \sqrt{-b} \log\left(2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{4 \, b^{2} d}, \frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + \sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{2 \, b^{2} d}\right]"," ",0,"[1/4*(2*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) - sqrt(-b)*log(2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b))/(b^2*d), 1/2*(sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + sqrt(b)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))))/(b^2*d)]","A",0
174,1,51,0,0.709057," ","integrate(1/sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{{\left(\cos\left(d x + c\right)^{3} + 2 \, \cos\left(d x + c\right)\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{3 \, b^{2} d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*(cos(d*x + c)^3 + 2*cos(d*x + c))*sqrt(b/cos(d*x + c))*sin(d*x + c)/(b^2*d*sqrt(cos(d*x + c)))","A",0
175,1,208,0,0.723759," ","integrate(1/sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{\frac{2 \, {\left(2 \, \cos\left(d x + c\right)^{4} + 3 \, \cos\left(d x + c\right)^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}} - 3 \, \sqrt{-b} \log\left(2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{16 \, b^{2} d}, \frac{\frac{{\left(2 \, \cos\left(d x + c\right)^{4} + 3 \, \cos\left(d x + c\right)^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}} + 3 \, \sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{8 \, b^{2} d}\right]"," ",0,"[1/16*(2*(2*cos(d*x + c)^4 + 3*cos(d*x + c)^2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)) - 3*sqrt(-b)*log(2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b))/(b^2*d), 1/8*((2*cos(d*x + c)^4 + 3*cos(d*x + c)^2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)) + 3*sqrt(b)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))))/(b^2*d)]","A",0
176,1,205,0,0.935763," ","integrate(sec(d*x+c)^(11/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right) + \frac{2 \, \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{4 \, b^{3} d \cos\left(d x + c\right)}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right) \cos\left(d x + c\right) - \frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}}}{2 \, b^{3} d \cos\left(d x + c\right)}\right]"," ",0,"[1/4*(sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2) + 2*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(b^3*d*cos(d*x + c)), -1/2*(sqrt(-b)*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)*cos(d*x + c) - sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(b^3*d*cos(d*x + c))]","A",0
177,1,33,0,0.546338," ","integrate(sec(d*x+c)^(9/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{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
178,1,114,0,0.972393," ","integrate(sec(d*x+c)^(7/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b}{\cos\left(d x + c\right)^{2}}\right)}{2 \, b^{\frac{5}{2}} d}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b}\right)}{b^{3} d}\right]"," ",0,"[1/2*log(-(b*cos(d*x + c)^2 - 2*sqrt(b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b)/cos(d*x + c)^2)/(b^(5/2)*d), -sqrt(-b)*arctan(sqrt(-b)*sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/b)/(b^3*d)]","A",0
179,1,101,0,0.948139," ","integrate(sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{2 \, b^{3} d}, \frac{\arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{b^{\frac{5}{2}} d}\right]"," ",0,"[-1/2*sqrt(-b)*log(2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b)/(b^3*d), arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c))))/(b^(5/2)*d)]","A",0
180,1,33,0,0.763718," ","integrate(sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{3} d}"," ",0,"sqrt(b/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/(b^3*d)","A",0
181,1,165,0,0.934488," ","integrate(sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) - \sqrt{-b} \log\left(2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{4 \, b^{3} d}, \frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + \sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{2 \, b^{3} d}\right]"," ",0,"[1/4*(2*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) - sqrt(-b)*log(2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b))/(b^3*d), 1/2*(sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + sqrt(b)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))))/(b^3*d)]","A",0
182,1,51,0,0.706383," ","integrate(1/sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{{\left(\cos\left(d x + c\right)^{3} + 2 \, \cos\left(d x + c\right)\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{3 \, b^{3} d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*(cos(d*x + c)^3 + 2*cos(d*x + c))*sqrt(b/cos(d*x + c))*sin(d*x + c)/(b^3*d*sqrt(cos(d*x + c)))","A",0
183,1,208,0,0.677524," ","integrate(1/sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{\frac{2 \, {\left(2 \, \cos\left(d x + c\right)^{4} + 3 \, \cos\left(d x + c\right)^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}} - 3 \, \sqrt{-b} \log\left(2 \, \sqrt{-b} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right) + 2 \, b \cos\left(d x + c\right)^{2} - b\right)}{16 \, b^{3} d}, \frac{\frac{{\left(2 \, \cos\left(d x + c\right)^{4} + 3 \, \cos\left(d x + c\right)^{2}\right)} \sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{\cos\left(d x + c\right)}} + 3 \, \sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(d x + c\right)}} \sin\left(d x + c\right)}{\sqrt{b} \sqrt{\cos\left(d x + c\right)}}\right)}{8 \, b^{3} d}\right]"," ",0,"[1/16*(2*(2*cos(d*x + c)^4 + 3*cos(d*x + c)^2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)) - 3*sqrt(-b)*log(2*sqrt(-b)*sqrt(b/cos(d*x + c))*cos(d*x + c)^(3/2)*sin(d*x + c) + 2*b*cos(d*x + c)^2 - b))/(b^3*d), 1/8*((2*cos(d*x + c)^4 + 3*cos(d*x + c)^2)*sqrt(b/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)) + 3*sqrt(b)*arctan(sqrt(b/cos(d*x + c))*sin(d*x + c)/(sqrt(b)*sqrt(cos(d*x + c)))))/(b^3*d)]","A",0
184,0,0,0,0.656168," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*sec(d*x + c)^2, x)","F",0
185,0,0,0,0.694621," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right), x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*sec(d*x + c), x)","F",0
186,0,0,0,0.595134," ","integrate((b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3), x)","F",0
187,0,0,0,0.542451," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right), x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*cos(d*x + c), x)","F",0
188,0,0,0,0.829038," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*cos(d*x + c)^2, x)","F",0
189,0,0,0,0.828954," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} b \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*b*sec(d*x + c)^3, x)","F",0
190,0,0,0,0.618871," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} b \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*b*sec(d*x + c)^2, x)","F",0
191,0,0,0,0.638958," ","integrate((b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} b \sec\left(d x + c\right), x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*b*sec(d*x + c), x)","F",0
192,0,0,0,0.686236," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\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*sec(d*x + c))^(1/3)*b*cos(d*x + c)*sec(d*x + c), x)","F",0
193,0,0,0,0.645342," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} b \cos\left(d x + c\right)^{2} \sec\left(d x + c\right), x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*b*cos(d*x + c)^2*sec(d*x + c), x)","F",0
194,0,0,0,0.721474," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)}{b}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)*sec(d*x + c)/b, x)","F",0
195,0,0,0,0.571622," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}}}{b}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)/b, x)","F",0
196,0,0,0,0.616093," ","integrate(1/(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)/(b*sec(d*x + c)), x)","F",0
197,0,0,0,0.694961," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)*cos(d*x + c)/(b*sec(d*x + c)), x)","F",0
198,0,0,0,0.680035," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{2}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)*cos(d*x + c)^2/(b*sec(d*x + c)), x)","F",0
199,0,0,0,0.868665," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2}}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)/b^2, x)","F",0
200,0,0,0,1.017153," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2} \sec\left(d x + c\right)}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)/(b^2*sec(d*x + c)), x)","F",0
201,0,0,0,0.725216," ","integrate(1/(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)/(b^2*sec(d*x + c)^2), x)","F",0
202,0,0,0,0.776124," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)*cos(d*x + c)/(b^2*sec(d*x + c)^2), x)","F",0
203,0,0,0,0.865360," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{2}}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)*cos(d*x + c)^2/(b^2*sec(d*x + c)^2), x)","F",0
204,0,0,0,0.834388," ","integrate(sec(d*x+c)^m*(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} b \sec\left(d x + c\right)^{m} \sec\left(d x + c\right), x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*b*sec(d*x + c)^m*sec(d*x + c), x)","F",0
205,0,0,0,0.536005," ","integrate(sec(d*x+c)^m*(b*sec(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{m}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)*sec(d*x + c)^m, x)","F",0
206,0,0,0,0.737380," ","integrate(sec(d*x+c)^m*(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{m}, x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*sec(d*x + c)^m, x)","F",0
207,0,0,0,0.749076," ","integrate(sec(d*x+c)^m/(b*sec(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{m}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)*sec(d*x + c)^m/(b*sec(d*x + c)), x)","F",0
208,0,0,0,0.735182," ","integrate(sec(d*x+c)^m/(b*sec(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{m}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((b*sec(d*x + c))^(1/3)*sec(d*x + c)^m/(b*sec(d*x + c)), x)","F",0
209,0,0,0,0.731517," ","integrate(sec(d*x+c)^m/(b*sec(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{m}}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((b*sec(d*x + c))^(2/3)*sec(d*x + c)^m/(b^2*sec(d*x + c)^2), x)","F",0
210,0,0,0,0.704207," ","integrate(sec(d*x+c)^m*(b*sec(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{m}, x\right)"," ",0,"integral((b*sec(d*x + c))^n*sec(d*x + c)^m, x)","F",0
211,0,0,0,0.579070," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*sec(d*x + c))^n*sec(d*x + c)^2, x)","F",0
212,0,0,0,0.747705," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right), x\right)"," ",0,"integral((b*sec(d*x + c))^n*sec(d*x + c), x)","F",0
213,0,0,0,0.756170," ","integrate((b*sec(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((b*sec(d*x + c))^n, x)","F",0
214,0,0,0,0.864504," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n} \cos\left(d x + c\right), x\right)"," ",0,"integral((b*sec(d*x + c))^n*cos(d*x + c), x)","F",0
215,0,0,0,0.904399," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n} \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*sec(d*x + c))^n*cos(d*x + c)^2, x)","F",0
216,0,0,0,0.925848," ","integrate(cos(d*x+c)^3*(b*sec(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n} \cos\left(d x + c\right)^{3}, x\right)"," ",0,"integral((b*sec(d*x + c))^n*cos(d*x + c)^3, x)","F",0
217,0,0,0,0.952201," ","integrate(sec(d*x+c)^(5/2)*(b*sec(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{\frac{5}{2}}, x\right)"," ",0,"integral((b*sec(d*x + c))^n*sec(d*x + c)^(5/2), x)","F",0
218,0,0,0,0.659989," ","integrate(sec(d*x+c)^(3/2)*(b*sec(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{\frac{3}{2}}, x\right)"," ",0,"integral((b*sec(d*x + c))^n*sec(d*x + c)^(3/2), x)","F",0
219,0,0,0,0.888475," ","integrate((b*sec(d*x+c))^n*sec(d*x+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sec\left(d x + c\right)\right)^{n} \sqrt{\sec\left(d x + c\right)}, x\right)"," ",0,"integral((b*sec(d*x + c))^n*sqrt(sec(d*x + c)), x)","F",0
220,0,0,0,1.028388," ","integrate((b*sec(d*x+c))^n/sec(d*x+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{n}}{\sqrt{\sec\left(d x + c\right)}}, x\right)"," ",0,"integral((b*sec(d*x + c))^n/sqrt(sec(d*x + c)), x)","F",0
221,0,0,0,0.754113," ","integrate((b*sec(d*x+c))^n/sec(d*x+c)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{n}}{\sec\left(d x + c\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral((b*sec(d*x + c))^n/sec(d*x + c)^(3/2), x)","F",0
222,0,0,0,1.000224," ","integrate((b*sec(d*x+c))^n/sec(d*x+c)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sec\left(d x + c\right)\right)^{n}}{\sec\left(d x + c\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral((b*sec(d*x + c))^n/sec(d*x + c)^(5/2), x)","F",0
223,1,28,0,0.876368," ","integrate((d*sec(b*x+a))^(7/2)*sin(b*x+a),x, algorithm=""fricas"")","\frac{2 \, d^{3} \sqrt{\frac{d}{\cos\left(b x + a\right)}}}{5 \, b \cos\left(b x + a\right)^{2}}"," ",0,"2/5*d^3*sqrt(d/cos(b*x + a))/(b*cos(b*x + a)^2)","A",0
224,1,28,0,0.761521," ","integrate((d*sec(b*x+a))^(5/2)*sin(b*x+a),x, algorithm=""fricas"")","\frac{2 \, d^{2} \sqrt{\frac{d}{\cos\left(b x + a\right)}}}{3 \, b \cos\left(b x + a\right)}"," ",0,"2/3*d^2*sqrt(d/cos(b*x + a))/(b*cos(b*x + a))","A",0
225,1,18,0,0.964578," ","integrate((d*sec(b*x+a))^(3/2)*sin(b*x+a),x, algorithm=""fricas"")","\frac{2 \, d \sqrt{\frac{d}{\cos\left(b x + a\right)}}}{b}"," ",0,"2*d*sqrt(d/cos(b*x + a))/b","A",0
226,1,23,0,0.644624," ","integrate((d*sec(b*x+a))^(1/2)*sin(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\frac{d}{\cos\left(b x + a\right)}} \cos\left(b x + a\right)}{b}"," ",0,"-2*sqrt(d/cos(b*x + a))*cos(b*x + a)/b","A",0
227,1,28,0,0.732562," ","integrate(sin(b*x+a)/(d*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\frac{d}{\cos\left(b x + a\right)}} \cos\left(b x + a\right)^{2}}{3 \, b d}"," ",0,"-2/3*sqrt(d/cos(b*x + a))*cos(b*x + a)^2/(b*d)","A",0
228,1,42,0,0.796426," ","integrate((d*sec(b*x+a))^(5/2)*sin(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, d^{2} \cos\left(b x + a\right)^{2} + d^{2}\right)} \sqrt{\frac{d}{\cos\left(b x + a\right)}}}{3 \, b \cos\left(b x + a\right)}"," ",0,"2/3*(3*d^2*cos(b*x + a)^2 + d^2)*sqrt(d/cos(b*x + a))/(b*cos(b*x + a))","A",0
229,1,44,0,0.910355," ","integrate((d*sec(b*x+a))^(9/2)*sin(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(7 \, d^{4} \cos\left(b x + a\right)^{2} - 3 \, d^{4}\right)} \sqrt{\frac{d}{\cos\left(b x + a\right)}}}{21 \, b \cos\left(b x + a\right)^{3}}"," ",0,"-2/21*(7*d^4*cos(b*x + a)^2 - 3*d^4)*sqrt(d/cos(b*x + a))/(b*cos(b*x + a)^3)","A",0
230,0,0,0,0.918522," ","integrate((d*csc(b*x+a))^(9/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} d^{4} \csc\left(b x + a\right)^{4}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*d^4*csc(b*x + a)^4, x)","F",0
231,1,67,0,0.888807," ","integrate((d*csc(b*x+a))^(7/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, d^{3} \cos\left(b x + a\right)^{3} - 5 \, d^{3} \cos\left(b x + a\right)\right)} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}}}{5 \, {\left(b \cos\left(b x + a\right)^{2} - b\right)}}"," ",0,"-2/5*(4*d^3*cos(b*x + a)^3 - 5*d^3*cos(b*x + a))*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))/(b*cos(b*x + a)^2 - b)","A",0
232,0,0,0,0.835335," ","integrate((d*csc(b*x+a))^(5/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} d^{2} \csc\left(b x + a\right)^{2}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*d^2*csc(b*x + a)^2, x)","F",0
233,1,36,0,0.783127," ","integrate((d*csc(b*x+a))^(3/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, d \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}} \cos\left(b x + a\right)}{b}"," ",0,"-2*d*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))*cos(b*x + a)/b","A",0
234,0,0,0,0.804161," ","integrate((d*csc(b*x+a))^(1/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a)), x)","F",0
235,-1,0,0,0.000000," ","integrate((c*sec(b*x+a))^(1/2)/(d*csc(b*x+a))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,0,0,0,1.420540," ","integrate((c*sec(b*x+a))^(1/2)/(d*csc(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}}{d^{2} \csc\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))/(d^2*csc(b*x + a)^2), x)","F",0
237,-1,0,0,0.000000," ","integrate((c*sec(b*x+a))^(1/2)/(d*csc(b*x+a))^(5/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,1,85,0,1.508390," ","integrate((d*csc(b*x+a))^(9/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(32 \, c d^{4} \cos\left(b x + a\right)^{4} - 56 \, c d^{4} \cos\left(b x + a\right)^{2} + 21 \, c d^{4}\right)} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}}}{21 \, {\left(b \cos\left(b x + a\right)^{2} - b\right)} \sin\left(b x + a\right)}"," ",0,"-2/21*(32*c*d^4*cos(b*x + a)^4 - 56*c*d^4*cos(b*x + a)^2 + 21*c*d^4)*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))/((b*cos(b*x + a)^2 - b)*sin(b*x + a))","A",0
239,0,0,0,0.884847," ","integrate((d*csc(b*x+a))^(7/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} c d^{3} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right), x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*c*d^3*csc(b*x + a)^3*sec(b*x + a), x)","F",0
240,1,58,0,0.960745," ","integrate((d*csc(b*x+a))^(5/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, c d^{2} \cos\left(b x + a\right)^{2} - 3 \, c d^{2}\right)} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}}}{3 \, b \sin\left(b x + a\right)}"," ",0,"-2/3*(4*c*d^2*cos(b*x + a)^2 - 3*c*d^2)*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))/(b*sin(b*x + a))","A",0
241,0,0,0,1.019272," ","integrate((d*csc(b*x+a))^(3/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} c d \csc\left(b x + a\right) \sec\left(b x + a\right), x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*c*d*csc(b*x + a)*sec(b*x + a), x)","F",0
242,1,36,0,0.574134," ","integrate((d*csc(b*x+a))^(1/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","\frac{2 \, c \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}} \sin\left(b x + a\right)}{b}"," ",0,"2*c*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))*sin(b*x + a)/b","A",0
243,0,0,0,0.602265," ","integrate((c*sec(b*x+a))^(3/2)/(d*csc(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} c \sec\left(b x + a\right)}{d \csc\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*c*sec(b*x + a)/(d*csc(b*x + a)), x)","F",0
244,-1,0,0,0.000000," ","integrate((c*sec(b*x+a))^(3/2)/(d*csc(b*x+a))^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
245,0,0,0,0.815017," ","integrate((c*sec(b*x+a))^(3/2)/(d*csc(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} c \sec\left(b x + a\right)}{d^{3} \csc\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*c*sec(b*x + a)/(d^3*csc(b*x + a)^3), x)","F",0
246,0,0,0,0.636320," ","integrate((d*csc(b*x+a))^(9/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} c^{2} d^{4} \csc\left(b x + a\right)^{4} \sec\left(b x + a\right)^{2}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*c^2*d^4*csc(b*x + a)^4*sec(b*x + a)^2, x)","F",0
247,1,89,0,0.965578," ","integrate((d*csc(b*x+a))^(7/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(32 \, c^{2} d^{3} \cos\left(b x + a\right)^{4} - 40 \, c^{2} d^{3} \cos\left(b x + a\right)^{2} + 5 \, c^{2} d^{3}\right)} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}}}{15 \, {\left(b \cos\left(b x + a\right)^{3} - b \cos\left(b x + a\right)\right)}}"," ",0,"-2/15*(32*c^2*d^3*cos(b*x + a)^4 - 40*c^2*d^3*cos(b*x + a)^2 + 5*c^2*d^3)*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))/(b*cos(b*x + a)^3 - b*cos(b*x + a))","A",0
248,0,0,0,0.670456," ","integrate((d*csc(b*x+a))^(5/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} c^{2} d^{2} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{2}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*c^2*d^2*csc(b*x + a)^2*sec(b*x + a)^2, x)","F",0
249,1,58,0,0.842378," ","integrate((d*csc(b*x+a))^(3/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, c^{2} d \cos\left(b x + a\right)^{2} - c^{2} d\right)} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}}}{3 \, b \cos\left(b x + a\right)}"," ",0,"-2/3*(4*c^2*d*cos(b*x + a)^2 - c^2*d)*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))/(b*cos(b*x + a))","A",0
250,0,0,0,0.511448," ","integrate((d*csc(b*x+a))^(1/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} c^{2} \sec\left(b x + a\right)^{2}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*c^2*sec(b*x + a)^2, x)","F",0
251,1,58,0,0.783607," ","integrate((c*sec(b*x+a))^(5/2)/(d*csc(b*x+a))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(c^{2} \cos\left(b x + a\right)^{2} - c^{2}\right)} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}}}{3 \, b d \cos\left(b x + a\right)}"," ",0,"-2/3*(c^2*cos(b*x + a)^2 - c^2)*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))/(b*d*cos(b*x + a))","B",0
252,0,0,0,0.692173," ","integrate((c*sec(b*x+a))^(5/2)/(d*csc(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} c^{2} \sec\left(b x + a\right)^{2}}{d^{2} \csc\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*c^2*sec(b*x + a)^2/(d^2*csc(b*x + a)^2), x)","F",0
253,-1,0,0,0.000000," ","integrate((c*sec(b*x+a))^(5/2)/(d*csc(b*x+a))^(5/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
254,1,79,0,0.593842," ","integrate((d*csc(b*x+a))^(9/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, d^{4} \cos\left(b x + a\right)^{4} - 7 \, d^{4} \cos\left(b x + a\right)^{2}\right)} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}}}{21 \, {\left(b c \cos\left(b x + a\right)^{2} - b c\right)} \sin\left(b x + a\right)}"," ",0,"-2/21*(4*d^4*cos(b*x + a)^4 - 7*d^4*cos(b*x + a)^2)*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))/((b*c*cos(b*x + a)^2 - b*c)*sin(b*x + a))","A",0
255,0,0,0,0.655980," ","integrate((d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} d^{3} \csc\left(b x + a\right)^{3}}{c \sec\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*d^3*csc(b*x + a)^3/(c*sec(b*x + a)), x)","F",0
256,1,51,0,0.765668," ","integrate((d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, d^{2} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}} \cos\left(b x + a\right)^{2}}{3 \, b c \sin\left(b x + a\right)}"," ",0,"-2/3*d^2*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))*cos(b*x + a)^2/(b*c*sin(b*x + a))","A",0
257,0,0,0,0.676438," ","integrate((d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} d \csc\left(b x + a\right)}{c \sec\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*d*csc(b*x + a)/(c*sec(b*x + a)), x)","F",0
258,-1,0,0,0.000000," ","integrate((d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,0,0,0,0.863941," ","integrate(1/(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}}{c d \csc\left(b x + a\right) \sec\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))/(c*d*csc(b*x + a)*sec(b*x + a)), x)","F",0
260,-1,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
261,0,0,0,1.346236," ","integrate(1/(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}}{c d^{3} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))/(c*d^3*csc(b*x + a)^3*sec(b*x + a)), x)","F",0
262,1,88,0,2.420962," ","integrate((d*csc(b*x+a))^(11/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(4 \, d^{5} \cos\left(b x + a\right)^{5} - 9 \, d^{5} \cos\left(b x + a\right)^{3}\right)} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}}}{45 \, {\left(b c^{2} \cos\left(b x + a\right)^{4} - 2 \, b c^{2} \cos\left(b x + a\right)^{2} + b c^{2}\right)}}"," ",0,"2/45*(4*d^5*cos(b*x + a)^5 - 9*d^5*cos(b*x + a)^3)*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))/(b*c^2*cos(b*x + a)^4 - 2*b*c^2*cos(b*x + a)^2 + b*c^2)","A",0
263,0,0,0,1.160192," ","integrate((d*csc(b*x+a))^(9/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} d^{4} \csc\left(b x + a\right)^{4}}{c^{2} \sec\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*d^4*csc(b*x + a)^4/(c^2*sec(b*x + a)^2), x)","F",0
264,1,59,0,0.857705," ","integrate((d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","\frac{2 \, d^{3} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}} \cos\left(b x + a\right)^{3}}{5 \, {\left(b c^{2} \cos\left(b x + a\right)^{2} - b c^{2}\right)}}"," ",0,"2/5*d^3*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))*cos(b*x + a)^3/(b*c^2*cos(b*x + a)^2 - b*c^2)","B",0
265,0,0,0,0.723338," ","integrate((d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} d^{2} \csc\left(b x + a\right)^{2}}{c^{2} \sec\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*d^2*csc(b*x + a)^2/(c^2*sec(b*x + a)^2), x)","F",0
266,-1,0,0,0.000000," ","integrate((d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
267,0,0,0,1.214809," ","integrate((d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}}{c^{2} \sec\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))/(c^2*sec(b*x + a)^2), x)","F",0
268,-1,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
269,0,0,0,0.978402," ","integrate(1/(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}}{c^{2} d^{2} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))/(c^2*d^2*csc(b*x + a)^2*sec(b*x + a)^2), x)","F",0
270,-1,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
271,1,67,0,4.015809," ","integrate((d*csc(b*x+a))^(9/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","\frac{2 \, d^{4} \sqrt{\frac{c}{\cos\left(b x + a\right)}} \sqrt{\frac{d}{\sin\left(b x + a\right)}} \cos\left(b x + a\right)^{4}}{7 \, {\left(b c^{3} \cos\left(b x + a\right)^{2} - b c^{3}\right)} \sin\left(b x + a\right)}"," ",0,"2/7*d^4*sqrt(c/cos(b*x + a))*sqrt(d/sin(b*x + a))*cos(b*x + a)^4/((b*c^3*cos(b*x + a)^2 - b*c^3)*sin(b*x + a))","B",0
272,0,0,0,1.032027," ","integrate((d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)} d^{3} \csc\left(b x + a\right)^{3}}{c^{3} \sec\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))*d^3*csc(b*x + a)^3/(c^3*sec(b*x + a)^3), x)","F",0
273,-1,0,0,0.000000," ","integrate((d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
274,-1,0,0,0.000000," ","integrate((d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
275,-1,0,0,0.000000," ","integrate((d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
276,0,0,0,2.397423," ","integrate(1/(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}}{c^{3} d \csc\left(b x + a\right) \sec\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))/(c^3*d*csc(b*x + a)*sec(b*x + a)^3), x)","F",0
277,-1,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
278,0,0,0,1.010645," ","integrate(1/(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}}{c^{3} d^{3} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))/(c^3*d^3*csc(b*x + a)^3*sec(b*x + a)^3), x)","F",0
279,-1,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
280,0,0,0,5.815678," ","integrate(csc(f*x+e)^n*sec(f*x+e)^m,x, algorithm=""fricas"")","{\rm integral}\left(\csc\left(f x + e\right)^{n} \sec\left(f x + e\right)^{m}, x\right)"," ",0,"integral(csc(f*x + e)^n*sec(f*x + e)^m, x)","F",0
281,0,0,0,1.696676," ","integrate(csc(f*x+e)^n*(a*sec(f*x+e))^m,x, algorithm=""fricas"")","{\rm integral}\left(\left(a \sec\left(f x + e\right)\right)^{m} \csc\left(f x + e\right)^{n}, x\right)"," ",0,"integral((a*sec(f*x + e))^m*csc(f*x + e)^n, x)","F",0
282,0,0,0,3.475467," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^m,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{m}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*sec(f*x + e)^m, x)","F",0
283,0,0,0,1.386639," ","integrate((b*csc(f*x+e))^n*(a*sec(f*x+e))^m,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n} \left(a \sec\left(f x + e\right)\right)^{m}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*(a*sec(f*x + e))^m, x)","F",0
284,0,0,0,1.181878," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^5,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{5}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*sec(f*x + e)^5, x)","F",0
285,0,0,0,1.630881," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{3}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*sec(f*x + e)^3, x)","F",0
286,0,0,0,1.664590," ","integrate((b*csc(f*x+e))^n*sec(f*x+e),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right), x\right)"," ",0,"integral((b*csc(f*x + e))^n*sec(f*x + e), x)","F",0
287,1,29,0,0.860436," ","integrate(cos(f*x+e)*(b*csc(f*x+e))^n,x, algorithm=""fricas"")","-\frac{\left(\frac{b}{\sin\left(f x + e\right)}\right)^{n} \sin\left(f x + e\right)}{f n - f}"," ",0,"-(b/sin(f*x + e))^n*sin(f*x + e)/(f*n - f)","A",0
288,1,49,0,0.878211," ","integrate(cos(f*x+e)^3*(b*csc(f*x+e))^n,x, algorithm=""fricas"")","-\frac{{\left({\left(n - 1\right)} \cos\left(f x + e\right)^{2} - 2\right)} \left(\frac{b}{\sin\left(f x + e\right)}\right)^{n} \sin\left(f x + e\right)}{f n^{2} - 4 \, f n + 3 \, f}"," ",0,"-((n - 1)*cos(f*x + e)^2 - 2)*(b/sin(f*x + e))^n*sin(f*x + e)/(f*n^2 - 4*f*n + 3*f)","A",0
289,1,73,0,1.083763," ","integrate(cos(f*x+e)^5*(b*csc(f*x+e))^n,x, algorithm=""fricas"")","-\frac{{\left({\left(n^{2} - 4 \, n + 3\right)} \cos\left(f x + e\right)^{4} - 4 \, {\left(n - 1\right)} \cos\left(f x + e\right)^{2} + 8\right)} \left(\frac{b}{\sin\left(f x + e\right)}\right)^{n} \sin\left(f x + e\right)}{f n^{3} - 9 \, f n^{2} + 23 \, f n - 15 \, f}"," ",0,"-((n^2 - 4*n + 3)*cos(f*x + e)^4 - 4*(n - 1)*cos(f*x + e)^2 + 8)*(b/sin(f*x + e))^n*sin(f*x + e)/(f*n^3 - 9*f*n^2 + 23*f*n - 15*f)","A",0
290,0,0,0,1.064075," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^6,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{6}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*sec(f*x + e)^6, x)","F",0
291,0,0,0,1.111120," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{4}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*sec(f*x + e)^4, x)","F",0
292,0,0,0,0.864995," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{2}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*sec(f*x + e)^2, x)","F",0
293,0,0,0,1.167814," ","integrate((b*csc(f*x+e))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n}, x\right)"," ",0,"integral((b*csc(f*x + e))^n, x)","F",0
294,0,0,0,2.135997," ","integrate(cos(f*x+e)^2*(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)^{2}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*cos(f*x + e)^2, x)","F",0
295,0,0,0,1.318085," ","integrate(cos(f*x+e)^4*(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)^{4}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*cos(f*x + e)^4, x)","F",0
296,0,0,0,1.615682," ","integrate((b*csc(f*x+e))^n*(c*sec(f*x+e))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \sec\left(f x + e\right)} \left(b \csc\left(f x + e\right)\right)^{n} c \sec\left(f x + e\right), x\right)"," ",0,"integral(sqrt(c*sec(f*x + e))*(b*csc(f*x + e))^n*c*sec(f*x + e), x)","F",0
297,0,0,0,0.875264," ","integrate((b*csc(f*x+e))^n*(c*sec(f*x+e))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \sec\left(f x + e\right)} \left(b \csc\left(f x + e\right)\right)^{n}, x\right)"," ",0,"integral(sqrt(c*sec(f*x + e))*(b*csc(f*x + e))^n, x)","F",0
298,0,0,0,1.051606," ","integrate((b*csc(f*x+e))^n/(c*sec(f*x+e))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \sec\left(f x + e\right)} \left(b \csc\left(f x + e\right)\right)^{n}}{c \sec\left(f x + e\right)}, x\right)"," ",0,"integral(sqrt(c*sec(f*x + e))*(b*csc(f*x + e))^n/(c*sec(f*x + e)), x)","F",0
299,0,0,0,1.203904," ","integrate((b*csc(f*x+e))^n/(c*sec(f*x+e))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \sec\left(f x + e\right)} \left(b \csc\left(f x + e\right)\right)^{n}}{c^{2} \sec\left(f x + e\right)^{2}}, x\right)"," ",0,"integral(sqrt(c*sec(f*x + e))*(b*csc(f*x + e))^n/(c^2*sec(f*x + e)^2), x)","F",0
