1,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)*sin(f*x+e)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)*sin(f*x+e)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)*sin(f*x+e)**3,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sin^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sin(e + f*x)**3, x)","F",0
4,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)*sin(f*x+e),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sin{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sin(e + f*x), x)","F",0
5,0,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \csc{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*csc(e + f*x), x)","F",0
6,0,0,0,0.000000," ","integrate(csc(f*x+e)**3*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \csc^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*csc(e + f*x)**3, x)","F",0
7,-1,0,0,0.000000," ","integrate(csc(f*x+e)**5*(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)*sin(f*x+e)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
9,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)*sin(f*x+e)**4,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sin^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sin(e + f*x)**4, x)","F",0
10,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)*sin(f*x+e)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sin^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sin(e + f*x)**2, x)","F",0
11,0,0,0,0.000000," ","integrate(a+b*sec(f*x+e)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)\, dx"," ",0,"Integral(a + b*sec(e + f*x)**2, x)","F",0
12,0,0,0,0.000000," ","integrate(csc(f*x+e)**2*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \csc^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*csc(e + f*x)**2, x)","F",0
13,0,0,0,0.000000," ","integrate(csc(f*x+e)**4*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \csc^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*csc(e + f*x)**4, x)","F",0
14,-1,0,0,0.000000," ","integrate(csc(f*x+e)**6*(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2*sin(f*x+e)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2*sin(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2*sin(f*x+e),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \sin{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*sin(e + f*x), x)","F",0
18,0,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \csc{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*csc(e + f*x), x)","F",0
19,-1,0,0,0.000000," ","integrate(csc(f*x+e)**3*(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate(csc(f*x+e)**5*(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2*sin(f*x+e)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2*sin(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2*sin(f*x+e)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \sin^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*sin(e + f*x)**2, x)","F",0
24,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2, x)","F",0
25,0,0,0,0.000000," ","integrate(csc(f*x+e)**2*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \csc^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*csc(e + f*x)**2, x)","F",0
26,-1,0,0,0.000000," ","integrate(csc(f*x+e)**4*(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
27,-1,0,0,0.000000," ","integrate(csc(f*x+e)**6*(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,-1,0,0,0.000000," ","integrate(sin(f*x+e)**5/(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,-1,0,0,0.000000," ","integrate(sin(f*x+e)**3/(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,0,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)**2),x)","\int \frac{\sin{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sin(e + f*x)/(a + b*sec(e + f*x)**2), x)","F",0
31,0,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)**2),x)","\int \frac{\csc{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(csc(e + f*x)/(a + b*sec(e + f*x)**2), x)","F",0
32,0,0,0,0.000000," ","integrate(csc(f*x+e)**3/(a+b*sec(f*x+e)**2),x)","\int \frac{\csc^{3}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(csc(e + f*x)**3/(a + b*sec(e + f*x)**2), x)","F",0
33,-1,0,0,0.000000," ","integrate(csc(f*x+e)**5/(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate(sin(f*x+e)**6/(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,0,0,0,0.000000," ","integrate(sin(f*x+e)**4/(a+b*sec(f*x+e)**2),x)","\int \frac{\sin^{4}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sin(e + f*x)**4/(a + b*sec(e + f*x)**2), x)","F",0
36,0,0,0,0.000000," ","integrate(sin(f*x+e)**2/(a+b*sec(f*x+e)**2),x)","\int \frac{\sin^{2}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sin(e + f*x)**2/(a + b*sec(e + f*x)**2), x)","F",0
37,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2),x)","\int \frac{1}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(1/(a + b*sec(e + f*x)**2), x)","F",0
38,0,0,0,0.000000," ","integrate(csc(f*x+e)**2/(a+b*sec(f*x+e)**2),x)","\int \frac{\csc^{2}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(csc(e + f*x)**2/(a + b*sec(e + f*x)**2), x)","F",0
39,0,0,0,0.000000," ","integrate(csc(f*x+e)**4/(a+b*sec(f*x+e)**2),x)","\int \frac{\csc^{4}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(csc(e + f*x)**4/(a + b*sec(e + f*x)**2), x)","F",0
40,-1,0,0,0.000000," ","integrate(csc(f*x+e)**6/(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
41,-1,0,0,0.000000," ","integrate(sin(f*x+e)**5/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate(sin(f*x+e)**3/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,-1,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,-1,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,-1,0,0,0.000000," ","integrate(csc(f*x+e)**3/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate(csc(f*x+e)**5/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,-1,0,0,0.000000," ","integrate(sin(f*x+e)**6/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,-1,0,0,0.000000," ","integrate(sin(f*x+e)**4/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,-1,0,0,0.000000," ","integrate(sin(f*x+e)**2/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-2), x)","F",0
51,-1,0,0,0.000000," ","integrate(csc(f*x+e)**2/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,-1,0,0,0.000000," ","integrate(csc(f*x+e)**4/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,-1,0,0,0.000000," ","integrate(csc(f*x+e)**6/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,-1,0,0,0.000000," ","integrate(sin(f*x+e)**5/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate(sin(f*x+e)**3/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,-1,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate(csc(f*x+e)**3/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,-1,0,0,0.000000," ","integrate(csc(f*x+e)**5/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
60,-1,0,0,0.000000," ","integrate(sin(f*x+e)**6/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
61,-1,0,0,0.000000," ","integrate(sin(f*x+e)**4/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-1,0,0,0.000000," ","integrate(sin(f*x+e)**2/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
63,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-3), x)","F",0
64,-1,0,0,0.000000," ","integrate(csc(f*x+e)**2/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,-1,0,0,0.000000," ","integrate(csc(f*x+e)**4/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate(csc(f*x+e)**6/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate(sin(f*x+e)**5*(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate(sin(f*x+e)**3*(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,0,0,0,0.000000," ","integrate(sin(f*x+e)*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \sin{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*sin(e + f*x), x)","F",0
70,0,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \csc{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*csc(e + f*x), x)","F",0
71,0,0,0,0.000000," ","integrate(csc(f*x+e)**3*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \csc^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*csc(e + f*x)**3, x)","F",0
72,-1,0,0,0.000000," ","integrate(csc(f*x+e)**5*(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,-1,0,0,0.000000," ","integrate(sin(f*x+e)**6*(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,0,0,0,0.000000," ","integrate(sin(f*x+e)**4*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \sin^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*sin(e + f*x)**4, x)","F",0
75,0,0,0,0.000000," ","integrate(sin(f*x+e)**2*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \sin^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*sin(e + f*x)**2, x)","F",0
76,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2), x)","F",0
77,0,0,0,0.000000," ","integrate(csc(f*x+e)**2*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \csc^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*csc(e + f*x)**2, x)","F",0
78,0,0,0,0.000000," ","integrate(csc(f*x+e)**4*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \csc^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*csc(e + f*x)**4, x)","F",0
79,-1,0,0,0.000000," ","integrate(csc(f*x+e)**6*(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*sin(f*x+e)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*sin(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*sin(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,-1,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,-1,0,0,0.000000," ","integrate(csc(f*x+e)**3*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,-1,0,0,0.000000," ","integrate(csc(f*x+e)**5*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*sin(f*x+e)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*sin(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
88,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*sin(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
89,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2), x)","F",0
90,-1,0,0,0.000000," ","integrate(csc(f*x+e)**2*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,-1,0,0,0.000000," ","integrate(csc(f*x+e)**4*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
92,-1,0,0,0.000000," ","integrate(csc(f*x+e)**6*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
93,-1,0,0,0.000000," ","integrate(sin(f*x+e)**5/(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate(sin(f*x+e)**3/(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,0,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sin{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sin(e + f*x)/sqrt(a + b*sec(e + f*x)**2), x)","F",0
96,0,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\csc{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(csc(e + f*x)/sqrt(a + b*sec(e + f*x)**2), x)","F",0
97,0,0,0,0.000000," ","integrate(csc(f*x+e)**3/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\csc^{3}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(csc(e + f*x)**3/sqrt(a + b*sec(e + f*x)**2), x)","F",0
98,0,0,0,0.000000," ","integrate(csc(f*x+e)**5/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\csc^{5}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(csc(e + f*x)**5/sqrt(a + b*sec(e + f*x)**2), x)","F",0
99,0,0,0,0.000000," ","integrate(sin(f*x+e)**6/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sin^{6}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sin(e + f*x)**6/sqrt(a + b*sec(e + f*x)**2), x)","F",0
100,0,0,0,0.000000," ","integrate(sin(f*x+e)**4/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sin^{4}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sin(e + f*x)**4/sqrt(a + b*sec(e + f*x)**2), x)","F",0
101,0,0,0,0.000000," ","integrate(sin(f*x+e)**2/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sin^{2}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sin(e + f*x)**2/sqrt(a + b*sec(e + f*x)**2), x)","F",0
102,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{1}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*sec(e + f*x)**2), x)","F",0
103,0,0,0,0.000000," ","integrate(csc(f*x+e)**2/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\csc^{2}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(csc(e + f*x)**2/sqrt(a + b*sec(e + f*x)**2), x)","F",0
104,0,0,0,0.000000," ","integrate(csc(f*x+e)**4/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\csc^{4}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(csc(e + f*x)**4/sqrt(a + b*sec(e + f*x)**2), x)","F",0
105,0,0,0,0.000000," ","integrate(csc(f*x+e)**6/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\csc^{6}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(csc(e + f*x)**6/sqrt(a + b*sec(e + f*x)**2), x)","F",0
106,-1,0,0,0.000000," ","integrate(sin(f*x+e)**5/(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,-1,0,0,0.000000," ","integrate(sin(f*x+e)**3/(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,0,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sin{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sin(e + f*x)/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
109,0,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\csc{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
110,0,0,0,0.000000," ","integrate(csc(f*x+e)**3/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\csc^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)**3/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
111,0,0,0,0.000000," ","integrate(csc(f*x+e)**5/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\csc^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)**5/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
112,0,0,0,0.000000," ","integrate(sin(f*x+e)**6/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sin^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sin(e + f*x)**6/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate(sin(f*x+e)**4/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sin^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sin(e + f*x)**4/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
114,0,0,0,0.000000," ","integrate(sin(f*x+e)**2/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sin^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sin(e + f*x)**2/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
115,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-3/2), x)","F",0
116,0,0,0,0.000000," ","integrate(csc(f*x+e)**2/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\csc^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)**2/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
117,0,0,0,0.000000," ","integrate(csc(f*x+e)**4/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\csc^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)**4/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
118,0,0,0,0.000000," ","integrate(csc(f*x+e)**6/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\csc^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)**6/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
119,-1,0,0,0.000000," ","integrate(sin(f*x+e)**5/(a+b*sec(f*x+e)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-1,0,0,0.000000," ","integrate(sin(f*x+e)**3/(a+b*sec(f*x+e)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,0,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\sin{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sin(e + f*x)/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
122,0,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\csc{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
123,0,0,0,0.000000," ","integrate(csc(f*x+e)**3/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\csc^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)**3/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
124,0,0,0,0.000000," ","integrate(csc(f*x+e)**5/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\csc^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)**5/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
125,-1,0,0,0.000000," ","integrate(sin(f*x+e)**6/(a+b*sec(f*x+e)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,0,0,0,0.000000," ","integrate(sin(f*x+e)**4/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\sin^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sin(e + f*x)**4/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
127,0,0,0,0.000000," ","integrate(sin(f*x+e)**2/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\sin^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sin(e + f*x)**2/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
128,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-5/2), x)","F",0
129,0,0,0,0.000000," ","integrate(csc(f*x+e)**2/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\csc^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)**2/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
130,0,0,0,0.000000," ","integrate(csc(f*x+e)**4/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\csc^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(csc(e + f*x)**4/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
131,-1,0,0,0.000000," ","integrate(csc(f*x+e)**6/(a+b*sec(f*x+e)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*(d*sin(f*x+e))**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*sin(f*x+e)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*sin(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*sin(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,-1,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,-1,0,0,0.000000," ","integrate(csc(f*x+e)**3*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
138,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*sin(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*sin(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{p}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**p, x)","F",0
141,-1,0,0,0.000000," ","integrate(csc(f*x+e)**2*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
142,-1,0,0,0.000000," ","integrate(csc(f*x+e)**4*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,-1,0,0,0.000000," ","integrate(csc(f*x+e)**6*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,0,0,0,0.000000," ","integrate((a-a*sec(d*x+c)**2)**4,x)","a^{4} \left(\int 1\, dx + \int \left(- 4 \sec^{2}{\left(c + d x \right)}\right)\, dx + \int 6 \sec^{4}{\left(c + d x \right)}\, dx + \int \left(- 4 \sec^{6}{\left(c + d x \right)}\right)\, dx + \int \sec^{8}{\left(c + d x \right)}\, dx\right)"," ",0,"a**4*(Integral(1, x) + Integral(-4*sec(c + d*x)**2, x) + Integral(6*sec(c + d*x)**4, x) + Integral(-4*sec(c + d*x)**6, x) + Integral(sec(c + d*x)**8, x))","F",0
145,0,0,0,0.000000," ","integrate((a-a*sec(d*x+c)**2)**3,x)","- a^{3} \left(\int \left(-1\right)\, dx + \int 3 \sec^{2}{\left(c + d x \right)}\, dx + \int \left(- 3 \sec^{4}{\left(c + d x \right)}\right)\, dx + \int \sec^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"-a**3*(Integral(-1, x) + Integral(3*sec(c + d*x)**2, x) + Integral(-3*sec(c + d*x)**4, x) + Integral(sec(c + d*x)**6, x))","F",0
146,0,0,0,0.000000," ","integrate((a-a*sec(d*x+c)**2)**2,x)","a^{2} \left(\int 1\, dx + \int \left(- 2 \sec^{2}{\left(c + d x \right)}\right)\, dx + \int \sec^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(1, x) + Integral(-2*sec(c + d*x)**2, x) + Integral(sec(c + d*x)**4, x))","F",0
147,0,0,0,0.000000," ","integrate(a-a*sec(d*x+c)**2,x)","- a \left(\int \left(-1\right)\, dx + \int \sec^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"-a*(Integral(-1, x) + Integral(sec(c + d*x)**2, x))","F",0
148,0,0,0,0.000000," ","integrate(1/(a-a*sec(d*x+c)**2),x)","- \frac{\int \frac{1}{\sec^{2}{\left(c + d x \right)} - 1}\, dx}{a}"," ",0,"-Integral(1/(sec(c + d*x)**2 - 1), x)/a","F",0
149,0,0,0,0.000000," ","integrate(1/(a-a*sec(d*x+c)**2)**2,x)","\frac{\int \frac{1}{\sec^{4}{\left(c + d x \right)} - 2 \sec^{2}{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(1/(sec(c + d*x)**4 - 2*sec(c + d*x)**2 + 1), x)/a**2","F",0
150,0,0,0,0.000000," ","integrate(1/(a-a*sec(d*x+c)**2)**3,x)","- \frac{\int \frac{1}{\sec^{6}{\left(c + d x \right)} - 3 \sec^{4}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} - 1}\, dx}{a^{3}}"," ",0,"-Integral(1/(sec(c + d*x)**6 - 3*sec(c + d*x)**4 + 3*sec(c + d*x)**2 - 1), x)/a**3","F",0
151,0,0,0,0.000000," ","integrate(1/(a-a*sec(d*x+c)**2)**4,x)","\frac{\int \frac{1}{\sec^{8}{\left(c + d x \right)} - 4 \sec^{6}{\left(c + d x \right)} + 6 \sec^{4}{\left(c + d x \right)} - 4 \sec^{2}{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(1/(sec(c + d*x)**8 - 4*sec(c + d*x)**6 + 6*sec(c + d*x)**4 - 4*sec(c + d*x)**2 + 1), x)/a**4","F",0
152,0,0,0,0.000000," ","integrate(sec(f*x+e)**5*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sec^{5}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sec(e + f*x)**5, x)","F",0
153,0,0,0,0.000000," ","integrate(sec(f*x+e)**3*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sec^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sec(e + f*x)**3, x)","F",0
154,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sec(e + f*x), x)","F",0
155,0,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \cos{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*cos(e + f*x), x)","F",0
156,0,0,0,0.000000," ","integrate(cos(f*x+e)**3*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \cos^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*cos(e + f*x)**3, x)","F",0
157,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5*(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,0,0,0,0.000000," ","integrate(sec(f*x+e)**6*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sec^{6}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sec(e + f*x)**6, x)","F",0
159,0,0,0,0.000000," ","integrate(sec(f*x+e)**4*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sec^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sec(e + f*x)**4, x)","F",0
160,0,0,0,0.000000," ","integrate(sec(f*x+e)**2*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \sec^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*sec(e + f*x)**2, x)","F",0
161,0,0,0,0.000000," ","integrate(a+b*sec(f*x+e)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)\, dx"," ",0,"Integral(a + b*sec(e + f*x)**2, x)","F",0
162,1,51,0,5.790164," ","integrate(cos(f*x+e)**2*(a+b*sec(f*x+e)**2),x)","a \left(\begin{cases} \frac{x \sin^{2}{\left(e + f x \right)}}{2} + \frac{x \cos^{2}{\left(e + f x \right)}}{2} + \frac{\sin{\left(e + f x \right)} \cos{\left(e + f x \right)}}{2 f} & \text{for}\: f \neq 0 \\x \cos^{2}{\left(e \right)} & \text{otherwise} \end{cases}\right) + b x"," ",0,"a*Piecewise((x*sin(e + f*x)**2/2 + x*cos(e + f*x)**2/2 + sin(e + f*x)*cos(e + f*x)/(2*f), Ne(f, 0)), (x*cos(e)**2, True)) + b*x","A",0
163,0,0,0,0.000000," ","integrate(cos(f*x+e)**4*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \cos^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*cos(e + f*x)**4, x)","F",0
164,-1,0,0,0.000000," ","integrate(cos(f*x+e)**6*(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,0,0,0,0.000000," ","integrate(sec(f*x+e)**5*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \sec^{5}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*sec(e + f*x)**5, x)","F",0
166,0,0,0,0.000000," ","integrate(sec(f*x+e)**3*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \sec^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*sec(e + f*x)**3, x)","F",0
167,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*sec(e + f*x), x)","F",0
168,0,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \cos{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*cos(e + f*x), x)","F",0
169,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3*(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5*(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,0,0,0,0.000000," ","integrate(sec(f*x+e)**6*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \sec^{6}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*sec(e + f*x)**6, x)","F",0
172,0,0,0,0.000000," ","integrate(sec(f*x+e)**4*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \sec^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*sec(e + f*x)**4, x)","F",0
173,0,0,0,0.000000," ","integrate(sec(f*x+e)**2*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \sec^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*sec(e + f*x)**2, x)","F",0
174,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2, x)","F",0
175,0,0,0,0.000000," ","integrate(cos(f*x+e)**2*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \cos^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*cos(e + f*x)**2, x)","F",0
176,-1,0,0,0.000000," ","integrate(cos(f*x+e)**4*(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,-1,0,0,0.000000," ","integrate(cos(f*x+e)**6*(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c)**2)**3,x)","\int \left(a + b \sec^{2}{\left(c + d x \right)}\right)^{3}\, dx"," ",0,"Integral((a + b*sec(c + d*x)**2)**3, x)","F",0
179,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c)**2)**4,x)","\int \left(a + b \sec^{2}{\left(c + d x \right)}\right)^{4}\, dx"," ",0,"Integral((a + b*sec(c + d*x)**2)**4, x)","F",0
180,0,0,0,0.000000," ","integrate(sec(f*x+e)**5/(a+b*sec(f*x+e)**2),x)","\int \frac{\sec^{5}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sec(e + f*x)**5/(a + b*sec(e + f*x)**2), x)","F",0
181,0,0,0,0.000000," ","integrate(sec(f*x+e)**3/(a+b*sec(f*x+e)**2),x)","\int \frac{\sec^{3}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sec(e + f*x)**3/(a + b*sec(e + f*x)**2), x)","F",0
182,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)**2),x)","\int \frac{\sec{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sec(e + f*x)/(a + b*sec(e + f*x)**2), x)","F",0
183,0,0,0,0.000000," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)**2),x)","\int \frac{\cos{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cos(e + f*x)/(a + b*sec(e + f*x)**2), x)","F",0
184,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3/(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5/(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,0,0,0,0.000000," ","integrate(sec(f*x+e)**6/(a+b*sec(f*x+e)**2),x)","\int \frac{\sec^{6}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sec(e + f*x)**6/(a + b*sec(e + f*x)**2), x)","F",0
187,0,0,0,0.000000," ","integrate(sec(f*x+e)**4/(a+b*sec(f*x+e)**2),x)","\int \frac{\sec^{4}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sec(e + f*x)**4/(a + b*sec(e + f*x)**2), x)","F",0
188,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(a+b*sec(f*x+e)**2),x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sec(e + f*x)**2/(a + b*sec(e + f*x)**2), x)","F",0
189,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2),x)","\int \frac{1}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(1/(a + b*sec(e + f*x)**2), x)","F",0
190,0,0,0,0.000000," ","integrate(cos(f*x+e)**2/(a+b*sec(f*x+e)**2),x)","\int \frac{\cos^{2}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cos(e + f*x)**2/(a + b*sec(e + f*x)**2), x)","F",0
191,0,0,0,0.000000," ","integrate(cos(f*x+e)**4/(a+b*sec(f*x+e)**2),x)","\int \frac{\cos^{4}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cos(e + f*x)**4/(a + b*sec(e + f*x)**2), x)","F",0
192,-1,0,0,0.000000," ","integrate(cos(f*x+e)**6/(a+b*sec(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
193,0,0,0,0.000000," ","integrate(sec(f*x+e)**5/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\sec^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(e + f*x)**5/(a + b*sec(e + f*x)**2)**2, x)","F",0
194,0,0,0,0.000000," ","integrate(sec(f*x+e)**3/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\sec^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(e + f*x)**3/(a + b*sec(e + f*x)**2)**2, x)","F",0
195,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\sec{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(e + f*x)/(a + b*sec(e + f*x)**2)**2, x)","F",0
196,-1,0,0,0.000000," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
198,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
199,0,0,0,0.000000," ","integrate(sec(f*x+e)**6/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\sec^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(e + f*x)**6/(a + b*sec(e + f*x)**2)**2, x)","F",0
200,0,0,0,0.000000," ","integrate(sec(f*x+e)**4/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\sec^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(e + f*x)**4/(a + b*sec(e + f*x)**2)**2, x)","F",0
201,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(e + f*x)**2/(a + b*sec(e + f*x)**2)**2, x)","F",0
202,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-2), x)","F",0
203,-1,0,0,0.000000," ","integrate(cos(f*x+e)**2/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
204,-1,0,0,0.000000," ","integrate(cos(f*x+e)**4/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
205,-1,0,0,0.000000," ","integrate(cos(f*x+e)**6/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
206,0,0,0,0.000000," ","integrate(sec(f*x+e)**5/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{\sec^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(e + f*x)**5/(a + b*sec(e + f*x)**2)**3, x)","F",0
207,0,0,0,0.000000," ","integrate(sec(f*x+e)**3/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{\sec^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(e + f*x)**3/(a + b*sec(e + f*x)**2)**3, x)","F",0
208,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{\sec{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(e + f*x)/(a + b*sec(e + f*x)**2)**3, x)","F",0
209,-1,0,0,0.000000," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
211,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
212,0,0,0,0.000000," ","integrate(sec(f*x+e)**6/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{\sec^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(e + f*x)**6/(a + b*sec(e + f*x)**2)**3, x)","F",0
213,0,0,0,0.000000," ","integrate(sec(f*x+e)**4/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{\sec^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(e + f*x)**4/(a + b*sec(e + f*x)**2)**3, x)","F",0
214,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(e + f*x)**2/(a + b*sec(e + f*x)**2)**3, x)","F",0
215,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-3), x)","F",0
216,-1,0,0,0.000000," ","integrate(cos(f*x+e)**2/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
217,-1,0,0,0.000000," ","integrate(cos(f*x+e)**4/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
218,-1,0,0,0.000000," ","integrate(cos(f*x+e)**6/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
219,-1,0,0,0.000000," ","integrate(1/(a+b*sec(d*x+c)**2)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,-1,0,0,0.000000," ","integrate((a-a*sec(d*x+c)**2)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
221,0,0,0,0.000000," ","integrate((a-a*sec(d*x+c)**2)**(5/2),x)","\int \left(- a \sec^{2}{\left(c + d x \right)} + a\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((-a*sec(c + d*x)**2 + a)**(5/2), x)","F",0
222,0,0,0,0.000000," ","integrate((a-a*sec(d*x+c)**2)**(3/2),x)","\int \left(- a \sec^{2}{\left(c + d x \right)} + a\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-a*sec(c + d*x)**2 + a)**(3/2), x)","F",0
223,0,0,0,0.000000," ","integrate((a-a*sec(d*x+c)**2)**(1/2),x)","\int \sqrt{- a \sec^{2}{\left(c + d x \right)} + a}\, dx"," ",0,"Integral(sqrt(-a*sec(c + d*x)**2 + a), x)","F",0
224,0,0,0,0.000000," ","integrate(1/(a-a*sec(d*x+c)**2)**(1/2),x)","\int \frac{1}{\sqrt{- a \sec^{2}{\left(c + d x \right)} + a}}\, dx"," ",0,"Integral(1/sqrt(-a*sec(c + d*x)**2 + a), x)","F",0
225,0,0,0,0.000000," ","integrate(1/(a-a*sec(d*x+c)**2)**(3/2),x)","\int \frac{1}{\left(- a \sec^{2}{\left(c + d x \right)} + a\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((-a*sec(c + d*x)**2 + a)**(-3/2), x)","F",0
226,0,0,0,0.000000," ","integrate(1/(a-a*sec(d*x+c)**2)**(5/2),x)","\int \frac{1}{\left(- a \sec^{2}{\left(c + d x \right)} + a\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((-a*sec(c + d*x)**2 + a)**(-5/2), x)","F",0
227,0,0,0,0.000000," ","integrate(1/(a-a*sec(d*x+c)**2)**(7/2),x)","\int \frac{1}{\left(- a \sec^{2}{\left(c + d x \right)} + a\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((-a*sec(c + d*x)**2 + a)**(-7/2), x)","F",0
228,0,0,0,0.000000," ","integrate(sec(f*x+e)**5*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \sec^{5}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*sec(e + f*x)**5, x)","F",0
229,0,0,0,0.000000," ","integrate(sec(f*x+e)**3*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \sec^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*sec(e + f*x)**3, x)","F",0
230,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*sec(e + f*x), x)","F",0
231,0,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \cos{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*cos(e + f*x), x)","F",0
232,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3*(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
233,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5*(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,0,0,0,0.000000," ","integrate(sec(f*x+e)**6*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \sec^{6}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*sec(e + f*x)**6, x)","F",0
235,0,0,0,0.000000," ","integrate(sec(f*x+e)**4*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \sec^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*sec(e + f*x)**4, x)","F",0
236,0,0,0,0.000000," ","integrate(sec(f*x+e)**2*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \sec^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*sec(e + f*x)**2, x)","F",0
237,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2), x)","F",0
238,0,0,0,0.000000," ","integrate(cos(f*x+e)**2*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \cos^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*cos(e + f*x)**2, x)","F",0
239,0,0,0,0.000000," ","integrate(cos(f*x+e)**4*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \cos^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*cos(e + f*x)**4, x)","F",0
240,-1,0,0,0.000000," ","integrate(cos(f*x+e)**6*(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
241,0,0,0,0.000000," ","integrate(sec(f*x+e)**5*(a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \sec^{5}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*sec(e + f*x)**5, x)","F",0
242,0,0,0,0.000000," ","integrate(sec(f*x+e)**3*(a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \sec^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*sec(e + f*x)**3, x)","F",0
243,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*sec(e + f*x), x)","F",0
244,-1,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
245,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
246,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,-1,0,0,0.000000," ","integrate(sec(f*x+e)**6*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,0,0,0,0.000000," ","integrate(sec(f*x+e)**4*(a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \sec^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*sec(e + f*x)**4, x)","F",0
249,0,0,0,0.000000," ","integrate(sec(f*x+e)**2*(a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \sec^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*sec(e + f*x)**2, x)","F",0
250,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2), x)","F",0
251,-1,0,0,0.000000," ","integrate(cos(f*x+e)**2*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
252,-1,0,0,0.000000," ","integrate(cos(f*x+e)**4*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
253,-1,0,0,0.000000," ","integrate(cos(f*x+e)**6*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
254,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c)**2)**(5/2),x)","\int \left(a + b \sec^{2}{\left(c + d x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a + b*sec(c + d*x)**2)**(5/2), x)","F",0
255,0,0,0,0.000000," ","integrate((1+sec(x)**2)**(3/2),x)","\int \left(\sec^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((sec(x)**2 + 1)**(3/2), x)","F",0
256,0,0,0,0.000000," ","integrate((1+sec(x)**2)**(1/2),x)","\int \sqrt{\sec^{2}{\left(x \right)} + 1}\, dx"," ",0,"Integral(sqrt(sec(x)**2 + 1), x)","F",0
257,0,0,0,0.000000," ","integrate(sec(f*x+e)**5/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sec^{5}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)**5/sqrt(a + b*sec(e + f*x)**2), x)","F",0
258,0,0,0,0.000000," ","integrate(sec(f*x+e)**3/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sec^{3}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)**3/sqrt(a + b*sec(e + f*x)**2), x)","F",0
259,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)/sqrt(a + b*sec(e + f*x)**2), x)","F",0
260,0,0,0,0.000000," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cos{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cos(e + f*x)/sqrt(a + b*sec(e + f*x)**2), x)","F",0
261,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3/(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
262,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5/(a+b*sec(f*x+e)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
263,0,0,0,0.000000," ","integrate(sec(f*x+e)**6/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sec^{6}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)**6/sqrt(a + b*sec(e + f*x)**2), x)","F",0
264,0,0,0,0.000000," ","integrate(sec(f*x+e)**4/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sec^{4}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)**4/sqrt(a + b*sec(e + f*x)**2), x)","F",0
265,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)**2/sqrt(a + b*sec(e + f*x)**2), x)","F",0
266,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{1}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*sec(e + f*x)**2), x)","F",0
267,0,0,0,0.000000," ","integrate(cos(f*x+e)**2/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cos^{2}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cos(e + f*x)**2/sqrt(a + b*sec(e + f*x)**2), x)","F",0
268,0,0,0,0.000000," ","integrate(cos(f*x+e)**4/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cos^{4}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cos(e + f*x)**4/sqrt(a + b*sec(e + f*x)**2), x)","F",0
269,0,0,0,0.000000," ","integrate(cos(f*x+e)**6/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cos^{6}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cos(e + f*x)**6/sqrt(a + b*sec(e + f*x)**2), x)","F",0
270,0,0,0,0.000000," ","integrate(sec(f*x+e)**5/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sec^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**5/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
271,0,0,0,0.000000," ","integrate(sec(f*x+e)**3/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sec^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**3/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
272,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
273,0,0,0,0.000000," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cos{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(e + f*x)/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
274,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3/(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
275,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5/(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
276,0,0,0,0.000000," ","integrate(sec(f*x+e)**6/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sec^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**6/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
277,0,0,0,0.000000," ","integrate(sec(f*x+e)**4/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sec^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**4/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
278,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**2/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
279,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-3/2), x)","F",0
280,0,0,0,0.000000," ","integrate(cos(f*x+e)**2/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cos^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(e + f*x)**2/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
281,0,0,0,0.000000," ","integrate(cos(f*x+e)**4/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cos^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(e + f*x)**4/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
282,0,0,0,0.000000," ","integrate(cos(f*x+e)**6/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cos^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(e + f*x)**6/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
283,0,0,0,0.000000," ","integrate(sec(f*x+e)**5/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\sec^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**5/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
284,0,0,0,0.000000," ","integrate(sec(f*x+e)**3/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\sec^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**3/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
285,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
286,0,0,0,0.000000," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\cos{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(e + f*x)/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
287,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3/(a+b*sec(f*x+e)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
288,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5/(a+b*sec(f*x+e)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
289,0,0,0,0.000000," ","integrate(sec(f*x+e)**6/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\sec^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**6/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
290,0,0,0,0.000000," ","integrate(sec(f*x+e)**4/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\sec^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**4/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
291,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(e + f*x)**2/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
292,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-5/2), x)","F",0
293,0,0,0,0.000000," ","integrate(cos(f*x+e)**2/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\cos^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(e + f*x)**2/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
294,0,0,0,0.000000," ","integrate(cos(f*x+e)**4/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\cos^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(e + f*x)**4/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
295,-1,0,0,0.000000," ","integrate(cos(f*x+e)**6/(a+b*sec(f*x+e)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
296,0,0,0,0.000000," ","integrate(1/(a+b*sec(d*x+c)**2)**(7/2),x)","\int \frac{1}{\left(a + b \sec^{2}{\left(c + d x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((a + b*sec(c + d*x)**2)**(-7/2), x)","F",0
297,0,0,0,0.000000," ","integrate(1/(1+sec(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{\sec^{2}{\left(x \right)} + 1}}\, dx"," ",0,"Integral(1/sqrt(sec(x)**2 + 1), x)","F",0
298,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**m*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
299,-1,0,0,0.000000," ","integrate(sec(f*x+e)**3*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
300,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)**2)**p,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{p} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**p*sec(e + f*x), x)","F",0
301,-1,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
302,-1,0,0,0.000000," ","integrate(cos(f*x+e)**3*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
303,-1,0,0,0.000000," ","integrate(cos(f*x+e)**5*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
304,-1,0,0,0.000000," ","integrate(sec(f*x+e)**6*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
305,-1,0,0,0.000000," ","integrate(sec(f*x+e)**4*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
306,-1,0,0,0.000000," ","integrate(sec(f*x+e)**2*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
307,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{p}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**p, x)","F",0
308,-1,0,0,0.000000," ","integrate(cos(f*x+e)**2*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
309,-1,0,0,0.000000," ","integrate(cos(f*x+e)**4*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
310,-1,0,0,0.000000," ","integrate(cos(f*x+e)**6*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
311,1,116,0,5.174636," ","integrate((a+b*sec(f*x+e)**2)*tan(f*x+e)**5,x)","\begin{cases} \frac{a \log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 f} + \frac{a \tan^{4}{\left(e + f x \right)}}{4 f} - \frac{a \tan^{2}{\left(e + f x \right)}}{2 f} + \frac{b \tan^{4}{\left(e + f x \right)} \sec^{2}{\left(e + f x \right)}}{6 f} - \frac{b \tan^{2}{\left(e + f x \right)} \sec^{2}{\left(e + f x \right)}}{6 f} + \frac{b \sec^{2}{\left(e + f x \right)}}{6 f} & \text{for}\: f \neq 0 \\x \left(a + b \sec^{2}{\left(e \right)}\right) \tan^{5}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(tan(e + f*x)**2 + 1)/(2*f) + a*tan(e + f*x)**4/(4*f) - a*tan(e + f*x)**2/(2*f) + b*tan(e + f*x)**4*sec(e + f*x)**2/(6*f) - b*tan(e + f*x)**2*sec(e + f*x)**2/(6*f) + b*sec(e + f*x)**2/(6*f), Ne(f, 0)), (x*(a + b*sec(e)**2)*tan(e)**5, True))","A",0
312,1,80,0,1.671263," ","integrate((a+b*sec(f*x+e)**2)*tan(f*x+e)**3,x)","\begin{cases} - \frac{a \log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 f} + \frac{a \tan^{2}{\left(e + f x \right)}}{2 f} + \frac{b \tan^{2}{\left(e + f x \right)} \sec^{2}{\left(e + f x \right)}}{4 f} - \frac{b \sec^{2}{\left(e + f x \right)}}{4 f} & \text{for}\: f \neq 0 \\x \left(a + b \sec^{2}{\left(e \right)}\right) \tan^{3}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*log(tan(e + f*x)**2 + 1)/(2*f) + a*tan(e + f*x)**2/(2*f) + b*tan(e + f*x)**2*sec(e + f*x)**2/(4*f) - b*sec(e + f*x)**2/(4*f), Ne(f, 0)), (x*(a + b*sec(e)**2)*tan(e)**3, True))","A",0
313,1,42,0,0.464986," ","integrate((a+b*sec(f*x+e)**2)*tan(f*x+e),x)","\begin{cases} \frac{a \log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 f} + \frac{b \sec^{2}{\left(e + f x \right)}}{2 f} & \text{for}\: f \neq 0 \\x \left(a + b \sec^{2}{\left(e \right)}\right) \tan{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(tan(e + f*x)**2 + 1)/(2*f) + b*sec(e + f*x)**2/(2*f), Ne(f, 0)), (x*(a + b*sec(e)**2)*tan(e), True))","A",0
314,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \cot{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*cot(e + f*x), x)","F",0
315,0,0,0,0.000000," ","integrate(cot(f*x+e)**3*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \cot^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*cot(e + f*x)**3, x)","F",0
316,0,0,0,0.000000," ","integrate(cot(f*x+e)**5*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \cot^{5}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*cot(e + f*x)**5, x)","F",0
317,1,66,0,3.496229," ","integrate((a+b*sec(f*x+e)**2)*tan(f*x+e)**6,x)","a \left(\begin{cases} - x + \frac{\tan^{5}{\left(e + f x \right)}}{5 f} - \frac{\tan^{3}{\left(e + f x \right)}}{3 f} + \frac{\tan{\left(e + f x \right)}}{f} & \text{for}\: f \neq 0 \\x \tan^{6}{\left(e \right)} & \text{otherwise} \end{cases}\right) + b \left(\begin{cases} x \tan^{6}{\left(e \right)} \sec^{2}{\left(e \right)} & \text{for}\: f = 0 \\\frac{\tan^{7}{\left(e + f x \right)}}{7 f} & \text{otherwise} \end{cases}\right)"," ",0,"a*Piecewise((-x + tan(e + f*x)**5/(5*f) - tan(e + f*x)**3/(3*f) + tan(e + f*x)/f, Ne(f, 0)), (x*tan(e)**6, True)) + b*Piecewise((x*tan(e)**6*sec(e)**2, Eq(f, 0)), (tan(e + f*x)**7/(7*f), True))","A",0
318,1,54,0,2.212302," ","integrate((a+b*sec(f*x+e)**2)*tan(f*x+e)**4,x)","a \left(\begin{cases} x + \frac{\tan^{3}{\left(e + f x \right)}}{3 f} - \frac{\tan{\left(e + f x \right)}}{f} & \text{for}\: f \neq 0 \\x \tan^{4}{\left(e \right)} & \text{otherwise} \end{cases}\right) + b \left(\begin{cases} x \tan^{4}{\left(e \right)} \sec^{2}{\left(e \right)} & \text{for}\: f = 0 \\\frac{\tan^{5}{\left(e + f x \right)}}{5 f} & \text{otherwise} \end{cases}\right)"," ",0,"a*Piecewise((x + tan(e + f*x)**3/(3*f) - tan(e + f*x)/f, Ne(f, 0)), (x*tan(e)**4, True)) + b*Piecewise((x*tan(e)**4*sec(e)**2, Eq(f, 0)), (tan(e + f*x)**5/(5*f), True))","A",0
319,1,42,0,1.595050," ","integrate((a+b*sec(f*x+e)**2)*tan(f*x+e)**2,x)","a \left(\begin{cases} - x + \frac{\tan{\left(e + f x \right)}}{f} & \text{for}\: f \neq 0 \\x \tan^{2}{\left(e \right)} & \text{otherwise} \end{cases}\right) + b \left(\begin{cases} x \tan^{2}{\left(e \right)} \sec^{2}{\left(e \right)} & \text{for}\: f = 0 \\\frac{\tan^{3}{\left(e + f x \right)}}{3 f} & \text{otherwise} \end{cases}\right)"," ",0,"a*Piecewise((-x + tan(e + f*x)/f, Ne(f, 0)), (x*tan(e)**2, True)) + b*Piecewise((x*tan(e)**2*sec(e)**2, Eq(f, 0)), (tan(e + f*x)**3/(3*f), True))","A",0
320,0,0,0,0.000000," ","integrate(a+b*sec(f*x+e)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)\, dx"," ",0,"Integral(a + b*sec(e + f*x)**2, x)","F",0
321,0,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \cot^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*cot(e + f*x)**2, x)","F",0
322,0,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \cot^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*cot(e + f*x)**4, x)","F",0
323,0,0,0,0.000000," ","integrate(cot(f*x+e)**6*(a+b*sec(f*x+e)**2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right) \cot^{6}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)*cot(e + f*x)**6, x)","F",0
324,1,190,0,14.179535," ","integrate((a+b*sec(f*x+e)**2)**2*tan(f*x+e)**5,x)","\begin{cases} \frac{a^{2} \log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 f} + \frac{a^{2} \tan^{4}{\left(e + f x \right)}}{4 f} - \frac{a^{2} \tan^{2}{\left(e + f x \right)}}{2 f} + \frac{a b \tan^{4}{\left(e + f x \right)} \sec^{2}{\left(e + f x \right)}}{3 f} - \frac{a b \tan^{2}{\left(e + f x \right)} \sec^{2}{\left(e + f x \right)}}{3 f} + \frac{a b \sec^{2}{\left(e + f x \right)}}{3 f} + \frac{b^{2} \tan^{4}{\left(e + f x \right)} \sec^{4}{\left(e + f x \right)}}{8 f} - \frac{b^{2} \tan^{2}{\left(e + f x \right)} \sec^{4}{\left(e + f x \right)}}{12 f} + \frac{b^{2} \sec^{4}{\left(e + f x \right)}}{24 f} & \text{for}\: f \neq 0 \\x \left(a + b \sec^{2}{\left(e \right)}\right)^{2} \tan^{5}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*log(tan(e + f*x)**2 + 1)/(2*f) + a**2*tan(e + f*x)**4/(4*f) - a**2*tan(e + f*x)**2/(2*f) + a*b*tan(e + f*x)**4*sec(e + f*x)**2/(3*f) - a*b*tan(e + f*x)**2*sec(e + f*x)**2/(3*f) + a*b*sec(e + f*x)**2/(3*f) + b**2*tan(e + f*x)**4*sec(e + f*x)**4/(8*f) - b**2*tan(e + f*x)**2*sec(e + f*x)**4/(12*f) + b**2*sec(e + f*x)**4/(24*f), Ne(f, 0)), (x*(a + b*sec(e)**2)**2*tan(e)**5, True))","A",0
325,1,128,0,5.081177," ","integrate((a+b*sec(f*x+e)**2)**2*tan(f*x+e)**3,x)","\begin{cases} - \frac{a^{2} \log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 f} + \frac{a^{2} \tan^{2}{\left(e + f x \right)}}{2 f} + \frac{a b \tan^{2}{\left(e + f x \right)} \sec^{2}{\left(e + f x \right)}}{2 f} - \frac{a b \sec^{2}{\left(e + f x \right)}}{2 f} + \frac{b^{2} \tan^{2}{\left(e + f x \right)} \sec^{4}{\left(e + f x \right)}}{6 f} - \frac{b^{2} \sec^{4}{\left(e + f x \right)}}{12 f} & \text{for}\: f \neq 0 \\x \left(a + b \sec^{2}{\left(e \right)}\right)^{2} \tan^{3}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*log(tan(e + f*x)**2 + 1)/(2*f) + a**2*tan(e + f*x)**2/(2*f) + a*b*tan(e + f*x)**2*sec(e + f*x)**2/(2*f) - a*b*sec(e + f*x)**2/(2*f) + b**2*tan(e + f*x)**2*sec(e + f*x)**4/(6*f) - b**2*sec(e + f*x)**4/(12*f), Ne(f, 0)), (x*(a + b*sec(e)**2)**2*tan(e)**3, True))","A",0
326,1,61,0,1.667165," ","integrate((a+b*sec(f*x+e)**2)**2*tan(f*x+e),x)","\begin{cases} \frac{a^{2} \log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 f} + \frac{a b \sec^{2}{\left(e + f x \right)}}{f} + \frac{b^{2} \sec^{4}{\left(e + f x \right)}}{4 f} & \text{for}\: f \neq 0 \\x \left(a + b \sec^{2}{\left(e \right)}\right)^{2} \tan{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*log(tan(e + f*x)**2 + 1)/(2*f) + a*b*sec(e + f*x)**2/f + b**2*sec(e + f*x)**4/(4*f), Ne(f, 0)), (x*(a + b*sec(e)**2)**2*tan(e), True))","A",0
327,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \cot{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*cot(e + f*x), x)","F",0
328,0,0,0,0.000000," ","integrate(cot(f*x+e)**3*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \cot^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*cot(e + f*x)**3, x)","F",0
329,0,0,0,0.000000," ","integrate(cot(f*x+e)**5*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \cot^{5}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*cot(e + f*x)**5, x)","F",0
330,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2*tan(f*x+e)**6,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \tan^{6}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*tan(e + f*x)**6, x)","F",0
331,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2*tan(f*x+e)**4,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \tan^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*tan(e + f*x)**4, x)","F",0
332,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2*tan(f*x+e)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \tan^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*tan(e + f*x)**2, x)","F",0
333,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2, x)","F",0
334,0,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \cot^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*cot(e + f*x)**2, x)","F",0
335,0,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+b*sec(f*x+e)**2)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2} \cot^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**2*cot(e + f*x)**4, x)","F",0
336,-1,0,0,0.000000," ","integrate(cot(f*x+e)**6*(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
337,0,0,0,0.000000," ","integrate(tan(f*x+e)**5/(a+b*sec(f*x+e)**2),x)","\int \frac{\tan^{5}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(tan(e + f*x)**5/(a + b*sec(e + f*x)**2), x)","F",0
338,0,0,0,0.000000," ","integrate(tan(f*x+e)**3/(a+b*sec(f*x+e)**2),x)","\int \frac{\tan^{3}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(tan(e + f*x)**3/(a + b*sec(e + f*x)**2), x)","F",0
339,1,128,0,12.697713," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)**2),x)","\begin{cases} \frac{\tilde{\infty} x \tan{\left(e \right)}}{\sec^{2}{\left(e \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge f = 0 \\\frac{\log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 a f} & \text{for}\: b = 0 \\\frac{x \tan{\left(e \right)}}{a + b \sec^{2}{\left(e \right)}} & \text{for}\: f = 0 \\- \frac{1}{2 b f \sec^{2}{\left(e + f x \right)}} & \text{for}\: a = 0 \\- \frac{\log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sec{\left(e + f x \right)} \right)}}{2 a f} - \frac{\log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sec{\left(e + f x \right)} \right)}}{2 a f} + \frac{\log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 a f} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*tan(e)/sec(e)**2, Eq(a, 0) & Eq(b, 0) & Eq(f, 0)), (log(tan(e + f*x)**2 + 1)/(2*a*f), Eq(b, 0)), (x*tan(e)/(a + b*sec(e)**2), Eq(f, 0)), (-1/(2*b*f*sec(e + f*x)**2), Eq(a, 0)), (-log(-I*sqrt(a)*sqrt(1/b) + sec(e + f*x))/(2*a*f) - log(I*sqrt(a)*sqrt(1/b) + sec(e + f*x))/(2*a*f) + log(tan(e + f*x)**2 + 1)/(2*a*f), True))","A",0
340,0,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)**2),x)","\int \frac{\cot{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cot(e + f*x)/(a + b*sec(e + f*x)**2), x)","F",0
341,0,0,0,0.000000," ","integrate(cot(f*x+e)**3/(a+b*sec(f*x+e)**2),x)","\int \frac{\cot^{3}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cot(e + f*x)**3/(a + b*sec(e + f*x)**2), x)","F",0
342,0,0,0,0.000000," ","integrate(cot(f*x+e)**5/(a+b*sec(f*x+e)**2),x)","\int \frac{\cot^{5}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cot(e + f*x)**5/(a + b*sec(e + f*x)**2), x)","F",0
343,0,0,0,0.000000," ","integrate(tan(f*x+e)**6/(a+b*sec(f*x+e)**2),x)","\int \frac{\tan^{6}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(tan(e + f*x)**6/(a + b*sec(e + f*x)**2), x)","F",0
344,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+b*sec(f*x+e)**2),x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(tan(e + f*x)**4/(a + b*sec(e + f*x)**2), x)","F",0
345,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+b*sec(f*x+e)**2),x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(tan(e + f*x)**2/(a + b*sec(e + f*x)**2), x)","F",0
346,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2),x)","\int \frac{1}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(1/(a + b*sec(e + f*x)**2), x)","F",0
347,0,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+b*sec(f*x+e)**2),x)","\int \frac{\cot^{2}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cot(e + f*x)**2/(a + b*sec(e + f*x)**2), x)","F",0
348,0,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+b*sec(f*x+e)**2),x)","\int \frac{\cot^{4}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cot(e + f*x)**4/(a + b*sec(e + f*x)**2), x)","F",0
349,0,0,0,0.000000," ","integrate(cot(f*x+e)**6/(a+b*sec(f*x+e)**2),x)","\int \frac{\cot^{6}{\left(e + f x \right)}}{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cot(e + f*x)**6/(a + b*sec(e + f*x)**2), x)","F",0
350,0,0,0,0.000000," ","integrate(tan(f*x+e)**5/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\tan^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(e + f*x)**5/(a + b*sec(e + f*x)**2)**2, x)","F",0
351,-1,0,0,0.000000," ","integrate(tan(f*x+e)**3/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
352,-1,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
353,0,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\cot{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(e + f*x)/(a + b*sec(e + f*x)**2)**2, x)","F",0
354,0,0,0,0.000000," ","integrate(cot(f*x+e)**3/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\cot^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(e + f*x)**3/(a + b*sec(e + f*x)**2)**2, x)","F",0
355,-1,0,0,0.000000," ","integrate(cot(f*x+e)**5/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
356,0,0,0,0.000000," ","integrate(tan(f*x+e)**6/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\tan^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(e + f*x)**6/(a + b*sec(e + f*x)**2)**2, x)","F",0
357,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(e + f*x)**4/(a + b*sec(e + f*x)**2)**2, x)","F",0
358,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(e + f*x)**2/(a + b*sec(e + f*x)**2)**2, x)","F",0
359,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**2,x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-2), x)","F",0
360,-1,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
361,-1,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
362,-1,0,0,0.000000," ","integrate(cot(f*x+e)**6/(a+b*sec(f*x+e)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
363,-1,0,0,0.000000," ","integrate(tan(f*x+e)**5/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
364,-1,0,0,0.000000," ","integrate(tan(f*x+e)**3/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
365,-1,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
366,-1,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
367,-1,0,0,0.000000," ","integrate(cot(f*x+e)**3/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
368,-1,0,0,0.000000," ","integrate(cot(f*x+e)**5/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
369,0,0,0,0.000000," ","integrate(tan(f*x+e)**6/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{\tan^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(tan(e + f*x)**6/(a + b*sec(e + f*x)**2)**3, x)","F",0
370,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(tan(e + f*x)**4/(a + b*sec(e + f*x)**2)**3, x)","F",0
371,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(tan(e + f*x)**2/(a + b*sec(e + f*x)**2)**3, x)","F",0
372,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**3,x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-3), x)","F",0
373,-1,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
374,-1,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
375,-1,0,0,0.000000," ","integrate(cot(f*x+e)**6/(a+b*sec(f*x+e)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
376,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(1/2)*tan(f*x+e)**5,x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \tan^{5}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*tan(e + f*x)**5, x)","F",0
377,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(1/2)*tan(f*x+e)**3,x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \tan^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*tan(e + f*x)**3, x)","F",0
378,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(1/2)*tan(f*x+e),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \tan{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*tan(e + f*x), x)","F",0
379,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \cot{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*cot(e + f*x), x)","F",0
380,0,0,0,0.000000," ","integrate(cot(f*x+e)**3*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \cot^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*cot(e + f*x)**3, x)","F",0
381,0,0,0,0.000000," ","integrate(cot(f*x+e)**5*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \cot^{5}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*cot(e + f*x)**5, x)","F",0
382,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(1/2)*tan(f*x+e)**6,x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \tan^{6}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*tan(e + f*x)**6, x)","F",0
383,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(1/2)*tan(f*x+e)**4,x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \tan^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*tan(e + f*x)**4, x)","F",0
384,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(1/2)*tan(f*x+e)**2,x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \tan^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*tan(e + f*x)**2, x)","F",0
385,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2), x)","F",0
386,0,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \cot^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*cot(e + f*x)**2, x)","F",0
387,0,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \cot^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*cot(e + f*x)**4, x)","F",0
388,0,0,0,0.000000," ","integrate(cot(f*x+e)**6*(a+b*sec(f*x+e)**2)**(1/2),x)","\int \sqrt{a + b \sec^{2}{\left(e + f x \right)}} \cot^{6}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x)**2)*cot(e + f*x)**6, x)","F",0
389,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*tan(f*x+e)**5,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \tan^{5}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*tan(e + f*x)**5, x)","F",0
390,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*tan(f*x+e)**3,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \tan^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*tan(e + f*x)**3, x)","F",0
391,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*tan(f*x+e),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \tan{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*tan(e + f*x), x)","F",0
392,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \cot{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*cot(e + f*x), x)","F",0
393,-1,0,0,0.000000," ","integrate(cot(f*x+e)**3*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
394,-1,0,0,0.000000," ","integrate(cot(f*x+e)**5*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
395,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*tan(f*x+e)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
396,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*tan(f*x+e)**4,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \tan^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*tan(e + f*x)**4, x)","F",0
397,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2)*tan(f*x+e)**2,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \tan^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*tan(e + f*x)**2, x)","F",0
398,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2), x)","F",0
399,0,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+b*sec(f*x+e)**2)**(3/2),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}} \cot^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(3/2)*cot(e + f*x)**2, x)","F",0
400,-1,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
401,-1,0,0,0.000000," ","integrate(cot(f*x+e)**6*(a+b*sec(f*x+e)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
402,0,0,0,0.000000," ","integrate(tan(f*x+e)**5/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\tan^{5}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(tan(e + f*x)**5/sqrt(a + b*sec(e + f*x)**2), x)","F",0
403,0,0,0,0.000000," ","integrate(tan(f*x+e)**3/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\tan^{3}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(tan(e + f*x)**3/sqrt(a + b*sec(e + f*x)**2), x)","F",0
404,0,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\tan{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(tan(e + f*x)/sqrt(a + b*sec(e + f*x)**2), x)","F",0
405,0,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cot{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cot(e + f*x)/sqrt(a + b*sec(e + f*x)**2), x)","F",0
406,0,0,0,0.000000," ","integrate(cot(f*x+e)**3/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cot^{3}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cot(e + f*x)**3/sqrt(a + b*sec(e + f*x)**2), x)","F",0
407,0,0,0,0.000000," ","integrate(cot(f*x+e)**5/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cot^{5}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cot(e + f*x)**5/sqrt(a + b*sec(e + f*x)**2), x)","F",0
408,0,0,0,0.000000," ","integrate(tan(f*x+e)**6/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\tan^{6}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(tan(e + f*x)**6/sqrt(a + b*sec(e + f*x)**2), x)","F",0
409,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(tan(e + f*x)**4/sqrt(a + b*sec(e + f*x)**2), x)","F",0
410,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(tan(e + f*x)**2/sqrt(a + b*sec(e + f*x)**2), x)","F",0
411,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{1}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*sec(e + f*x)**2), x)","F",0
412,0,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cot^{2}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cot(e + f*x)**2/sqrt(a + b*sec(e + f*x)**2), x)","F",0
413,0,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cot^{4}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cot(e + f*x)**4/sqrt(a + b*sec(e + f*x)**2), x)","F",0
414,0,0,0,0.000000," ","integrate(cot(f*x+e)**6/(a+b*sec(f*x+e)**2)**(1/2),x)","\int \frac{\cot^{6}{\left(e + f x \right)}}{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}\, dx"," ",0,"Integral(cot(e + f*x)**6/sqrt(a + b*sec(e + f*x)**2), x)","F",0
415,0,0,0,0.000000," ","integrate(tan(f*x+e)**5/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\tan^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**5/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
416,0,0,0,0.000000," ","integrate(tan(f*x+e)**3/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\tan^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**3/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
417,1,53,0,14.814596," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)**2)**(3/2),x)","\frac{1}{a f \sqrt{a + b \sec^{2}{\left(e + f x \right)}}} + \frac{\operatorname{atan}{\left(\frac{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}{\sqrt{- a}} \right)}}{a f \sqrt{- a}}"," ",0,"1/(a*f*sqrt(a + b*sec(e + f*x)**2)) + atan(sqrt(a + b*sec(e + f*x)**2)/sqrt(-a))/(a*f*sqrt(-a))","A",0
418,0,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cot{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
419,0,0,0,0.000000," ","integrate(cot(f*x+e)**3/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cot^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**3/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
420,0,0,0,0.000000," ","integrate(cot(f*x+e)**5/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cot^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**5/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
421,0,0,0,0.000000," ","integrate(tan(f*x+e)**6/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\tan^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**6/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
422,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**4/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
423,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**2/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
424,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-3/2), x)","F",0
425,0,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cot^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**2/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
426,0,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cot^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**4/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
427,0,0,0,0.000000," ","integrate(cot(f*x+e)**6/(a+b*sec(f*x+e)**2)**(3/2),x)","\int \frac{\cot^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**6/(a + b*sec(e + f*x)**2)**(3/2), x)","F",0
428,0,0,0,0.000000," ","integrate(tan(f*x+e)**5/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\tan^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**5/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
429,0,0,0,0.000000," ","integrate(tan(f*x+e)**3/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\tan^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**3/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
430,1,78,0,24.142990," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)**2)**(5/2),x)","\frac{1}{3 a f \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{3}{2}}} + \frac{1}{a^{2} f \sqrt{a + b \sec^{2}{\left(e + f x \right)}}} + \frac{\operatorname{atan}{\left(\frac{\sqrt{a + b \sec^{2}{\left(e + f x \right)}}}{\sqrt{- a}} \right)}}{a^{2} f \sqrt{- a}}"," ",0,"1/(3*a*f*(a + b*sec(e + f*x)**2)**(3/2)) + 1/(a**2*f*sqrt(a + b*sec(e + f*x)**2)) + atan(sqrt(a + b*sec(e + f*x)**2)/sqrt(-a))/(a**2*f*sqrt(-a))","A",0
431,0,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\cot{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
432,0,0,0,0.000000," ","integrate(cot(f*x+e)**3/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\cot^{3}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**3/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
433,0,0,0,0.000000," ","integrate(cot(f*x+e)**5/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\cot^{5}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**5/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
434,0,0,0,0.000000," ","integrate(tan(f*x+e)**6/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\tan^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**6/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
435,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**4/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
436,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**2/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
437,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{1}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**(-5/2), x)","F",0
438,0,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\cot^{2}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**2/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
439,0,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\cot^{4}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**4/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
440,0,0,0,0.000000," ","integrate(cot(f*x+e)**6/(a+b*sec(f*x+e)**2)**(5/2),x)","\int \frac{\cot^{6}{\left(e + f x \right)}}{\left(a + b \sec^{2}{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**6/(a + b*sec(e + f*x)**2)**(5/2), x)","F",0
441,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*(d*tan(f*x+e))**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
442,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*tan(f*x+e)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
443,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*tan(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
444,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*tan(f*x+e),x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{p} \tan{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**p*tan(e + f*x), x)","F",0
445,-1,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
446,-1,0,0,0.000000," ","integrate(cot(f*x+e)**3*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
447,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*tan(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
448,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p*tan(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
449,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)**2)**p,x)","\int \left(a + b \sec^{2}{\left(e + f x \right)}\right)^{p}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**2)**p, x)","F",0
450,-1,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
451,-1,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+b*sec(f*x+e)**2)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
452,1,119,0,8.407926," ","integrate((a+b*sec(f*x+e)**3)*tan(f*x+e)**5,x)","\begin{cases} \frac{a \log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 f} + \frac{a \tan^{4}{\left(e + f x \right)}}{4 f} - \frac{a \tan^{2}{\left(e + f x \right)}}{2 f} + \frac{b \tan^{4}{\left(e + f x \right)} \sec^{3}{\left(e + f x \right)}}{7 f} - \frac{4 b \tan^{2}{\left(e + f x \right)} \sec^{3}{\left(e + f x \right)}}{35 f} + \frac{8 b \sec^{3}{\left(e + f x \right)}}{105 f} & \text{for}\: f \neq 0 \\x \left(a + b \sec^{3}{\left(e \right)}\right) \tan^{5}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(tan(e + f*x)**2 + 1)/(2*f) + a*tan(e + f*x)**4/(4*f) - a*tan(e + f*x)**2/(2*f) + b*tan(e + f*x)**4*sec(e + f*x)**3/(7*f) - 4*b*tan(e + f*x)**2*sec(e + f*x)**3/(35*f) + 8*b*sec(e + f*x)**3/(105*f), Ne(f, 0)), (x*(a + b*sec(e)**3)*tan(e)**5, True))","A",0
453,1,82,0,2.981538," ","integrate((a+b*sec(f*x+e)**3)*tan(f*x+e)**3,x)","\begin{cases} - \frac{a \log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 f} + \frac{a \tan^{2}{\left(e + f x \right)}}{2 f} + \frac{b \tan^{2}{\left(e + f x \right)} \sec^{3}{\left(e + f x \right)}}{5 f} - \frac{2 b \sec^{3}{\left(e + f x \right)}}{15 f} & \text{for}\: f \neq 0 \\x \left(a + b \sec^{3}{\left(e \right)}\right) \tan^{3}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*log(tan(e + f*x)**2 + 1)/(2*f) + a*tan(e + f*x)**2/(2*f) + b*tan(e + f*x)**2*sec(e + f*x)**3/(5*f) - 2*b*sec(e + f*x)**3/(15*f), Ne(f, 0)), (x*(a + b*sec(e)**3)*tan(e)**3, True))","A",0
454,1,42,0,0.877382," ","integrate((a+b*sec(f*x+e)**3)*tan(f*x+e),x)","\begin{cases} \frac{a \log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 f} + \frac{b \sec^{3}{\left(e + f x \right)}}{3 f} & \text{for}\: f \neq 0 \\x \left(a + b \sec^{3}{\left(e \right)}\right) \tan{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(tan(e + f*x)**2 + 1)/(2*f) + b*sec(e + f*x)**3/(3*f), Ne(f, 0)), (x*(a + b*sec(e)**3)*tan(e), True))","A",0
455,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)**3),x)","\int \left(a + b \sec^{3}{\left(e + f x \right)}\right) \cot{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**3)*cot(e + f*x), x)","F",0
456,0,0,0,0.000000," ","integrate(cot(f*x+e)**3*(a+b*sec(f*x+e)**3),x)","\int \left(a + b \sec^{3}{\left(e + f x \right)}\right) \cot^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x)**3)*cot(e + f*x)**3, x)","F",0
457,0,0,0,0.000000," ","integrate(tan(f*x+e)**5/(a+b*sec(f*x+e)**3),x)","\int \frac{\tan^{5}{\left(e + f x \right)}}{a + b \sec^{3}{\left(e + f x \right)}}\, dx"," ",0,"Integral(tan(e + f*x)**5/(a + b*sec(e + f*x)**3), x)","F",0
458,0,0,0,0.000000," ","integrate(tan(f*x+e)**3/(a+b*sec(f*x+e)**3),x)","\int \frac{\tan^{3}{\left(e + f x \right)}}{a + b \sec^{3}{\left(e + f x \right)}}\, dx"," ",0,"Integral(tan(e + f*x)**3/(a + b*sec(e + f*x)**3), x)","F",0
459,1,170,0,43.385756," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)**3),x)","\begin{cases} \frac{\tilde{\infty} x \tan{\left(e \right)}}{\sec^{3}{\left(e \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge f = 0 \\\frac{\log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 a f} & \text{for}\: b = 0 \\\frac{x \tan{\left(e \right)}}{a + b \sec^{3}{\left(e \right)}} & \text{for}\: f = 0 \\- \frac{1}{3 b f \sec^{3}{\left(e + f x \right)}} & \text{for}\: a = 0 \\- \frac{\log{\left(- \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + \sec{\left(e + f x \right)} \right)}}{3 a f} + \frac{\log{\left(\tan^{2}{\left(e + f x \right)} + 1 \right)}}{2 a f} - \frac{\log{\left(4 \left(-1\right)^{\frac{2}{3}} a^{\frac{2}{3}} \left(\frac{1}{b}\right)^{\frac{2}{3}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} \sec{\left(e + f x \right)} + 4 \sec^{2}{\left(e + f x \right)} \right)}}{3 a f} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*tan(e)/sec(e)**3, Eq(a, 0) & Eq(b, 0) & Eq(f, 0)), (log(tan(e + f*x)**2 + 1)/(2*a*f), Eq(b, 0)), (x*tan(e)/(a + b*sec(e)**3), Eq(f, 0)), (-1/(3*b*f*sec(e + f*x)**3), Eq(a, 0)), (-log(-(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + sec(e + f*x))/(3*a*f) + log(tan(e + f*x)**2 + 1)/(2*a*f) - log(4*(-1)**(2/3)*a**(2/3)*(1/b)**(2/3) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3)*sec(e + f*x) + 4*sec(e + f*x)**2)/(3*a*f), True))","A",0
460,0,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)**3),x)","\int \frac{\cot{\left(e + f x \right)}}{a + b \sec^{3}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cot(e + f*x)/(a + b*sec(e + f*x)**3), x)","F",0
461,0,0,0,0.000000," ","integrate(cot(f*x+e)**3/(a+b*sec(f*x+e)**3),x)","\int \frac{\cot^{3}{\left(e + f x \right)}}{a + b \sec^{3}{\left(e + f x \right)}}\, dx"," ",0,"Integral(cot(e + f*x)**3/(a + b*sec(e + f*x)**3), x)","F",0
462,-1,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))**n)**p*(d*tan(f*x+e))**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
463,-1,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))**n)**p*tan(f*x+e)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
464,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))**n)**p*tan(f*x+e)**3,x)","\int \left(a + b \left(c \sec{\left(e + f x \right)}\right)^{n}\right)^{p} \tan^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*(c*sec(e + f*x))**n)**p*tan(e + f*x)**3, x)","F",0
465,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))**n)**p*tan(f*x+e),x)","\int \left(a + b \left(c \sec{\left(e + f x \right)}\right)^{n}\right)^{p} \tan{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*(c*sec(e + f*x))**n)**p*tan(e + f*x), x)","F",0
466,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*(c*sec(f*x+e))**n)**p,x)","\int \left(a + b \left(c \sec{\left(e + f x \right)}\right)^{n}\right)^{p} \cot{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*(c*sec(e + f*x))**n)**p*cot(e + f*x), x)","F",0
467,-1,0,0,0.000000," ","integrate(cot(f*x+e)**3*(a+b*(c*sec(f*x+e))**n)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
468,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))**n)**p*tan(f*x+e)**2,x)","\int \left(a + b \left(c \sec{\left(e + f x \right)}\right)^{n}\right)^{p} \tan^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*(c*sec(e + f*x))**n)**p*tan(e + f*x)**2, x)","F",0
469,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))**n)**p,x)","\int \left(a + b \left(c \sec{\left(e + f x \right)}\right)^{n}\right)^{p}\, dx"," ",0,"Integral((a + b*(c*sec(e + f*x))**n)**p, x)","F",0
470,0,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+b*(c*sec(f*x+e))**n)**p,x)","\int \left(a + b \left(c \sec{\left(e + f x \right)}\right)^{n}\right)^{p} \cot^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*(c*sec(e + f*x))**n)**p*cot(e + f*x)**2, x)","F",0
