1,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+a*sec(f*x+e)),x)","a \left(\int c^{3}\, dx + \int c^{3} \sec{\left(e + f x \right)}\, dx + \int d^{3} x^{3}\, dx + \int 3 c d^{2} x^{2}\, dx + \int 3 c^{2} d x\, dx + \int d^{3} x^{3} \sec{\left(e + f x \right)}\, dx + \int 3 c d^{2} x^{2} \sec{\left(e + f x \right)}\, dx + \int 3 c^{2} d x \sec{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral(c**3, x) + Integral(c**3*sec(e + f*x), x) + Integral(d**3*x**3, x) + Integral(3*c*d**2*x**2, x) + Integral(3*c**2*d*x, x) + Integral(d**3*x**3*sec(e + f*x), x) + Integral(3*c*d**2*x**2*sec(e + f*x), x) + Integral(3*c**2*d*x*sec(e + f*x), x))","F",0
2,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+a*sec(f*x+e)),x)","a \left(\int c^{2}\, dx + \int c^{2} \sec{\left(e + f x \right)}\, dx + \int d^{2} x^{2}\, dx + \int 2 c d x\, dx + \int d^{2} x^{2} \sec{\left(e + f x \right)}\, dx + \int 2 c d x \sec{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral(c**2, x) + Integral(c**2*sec(e + f*x), x) + Integral(d**2*x**2, x) + Integral(2*c*d*x, x) + Integral(d**2*x**2*sec(e + f*x), x) + Integral(2*c*d*x*sec(e + f*x), x))","F",0
3,0,0,0,0.000000," ","integrate((d*x+c)*(a+a*sec(f*x+e)),x)","a \left(\int c\, dx + \int c \sec{\left(e + f x \right)}\, dx + \int d x\, dx + \int d x \sec{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral(c, x) + Integral(c*sec(e + f*x), x) + Integral(d*x, x) + Integral(d*x*sec(e + f*x), x))","F",0
4,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))/(d*x+c),x)","a \left(\int \frac{\sec{\left(e + f x \right)}}{c + d x}\, dx + \int \frac{1}{c + d x}\, dx\right)"," ",0,"a*(Integral(sec(e + f*x)/(c + d*x), x) + Integral(1/(c + d*x), x))","F",0
5,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))/(d*x+c)**2,x)","a \left(\int \frac{\sec{\left(e + f x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{1}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx\right)"," ",0,"a*(Integral(sec(e + f*x)/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(1/(c**2 + 2*c*d*x + d**2*x**2), x))","F",0
6,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+a*sec(f*x+e))**2,x)","a^{2} \left(\int c^{3}\, dx + \int 2 c^{3} \sec{\left(e + f x \right)}\, dx + \int c^{3} \sec^{2}{\left(e + f x \right)}\, dx + \int d^{3} x^{3}\, dx + \int 3 c d^{2} x^{2}\, dx + \int 3 c^{2} d x\, dx + \int 2 d^{3} x^{3} \sec{\left(e + f x \right)}\, dx + \int d^{3} x^{3} \sec^{2}{\left(e + f x \right)}\, dx + \int 6 c d^{2} x^{2} \sec{\left(e + f x \right)}\, dx + \int 3 c d^{2} x^{2} \sec^{2}{\left(e + f x \right)}\, dx + \int 6 c^{2} d x \sec{\left(e + f x \right)}\, dx + \int 3 c^{2} d x \sec^{2}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral(c**3, x) + Integral(2*c**3*sec(e + f*x), x) + Integral(c**3*sec(e + f*x)**2, x) + Integral(d**3*x**3, x) + Integral(3*c*d**2*x**2, x) + Integral(3*c**2*d*x, x) + Integral(2*d**3*x**3*sec(e + f*x), x) + Integral(d**3*x**3*sec(e + f*x)**2, x) + Integral(6*c*d**2*x**2*sec(e + f*x), x) + Integral(3*c*d**2*x**2*sec(e + f*x)**2, x) + Integral(6*c**2*d*x*sec(e + f*x), x) + Integral(3*c**2*d*x*sec(e + f*x)**2, x))","F",0
7,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+a*sec(f*x+e))**2,x)","a^{2} \left(\int c^{2}\, dx + \int 2 c^{2} \sec{\left(e + f x \right)}\, dx + \int c^{2} \sec^{2}{\left(e + f x \right)}\, dx + \int d^{2} x^{2}\, dx + \int 2 c d x\, dx + \int 2 d^{2} x^{2} \sec{\left(e + f x \right)}\, dx + \int d^{2} x^{2} \sec^{2}{\left(e + f x \right)}\, dx + \int 4 c d x \sec{\left(e + f x \right)}\, dx + \int 2 c d x \sec^{2}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral(c**2, x) + Integral(2*c**2*sec(e + f*x), x) + Integral(c**2*sec(e + f*x)**2, x) + Integral(d**2*x**2, x) + Integral(2*c*d*x, x) + Integral(2*d**2*x**2*sec(e + f*x), x) + Integral(d**2*x**2*sec(e + f*x)**2, x) + Integral(4*c*d*x*sec(e + f*x), x) + Integral(2*c*d*x*sec(e + f*x)**2, x))","F",0
8,0,0,0,0.000000," ","integrate((d*x+c)*(a+a*sec(f*x+e))**2,x)","a^{2} \left(\int c\, dx + \int 2 c \sec{\left(e + f x \right)}\, dx + \int c \sec^{2}{\left(e + f x \right)}\, dx + \int d x\, dx + \int 2 d x \sec{\left(e + f x \right)}\, dx + \int d x \sec^{2}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral(c, x) + Integral(2*c*sec(e + f*x), x) + Integral(c*sec(e + f*x)**2, x) + Integral(d*x, x) + Integral(2*d*x*sec(e + f*x), x) + Integral(d*x*sec(e + f*x)**2, x))","F",0
9,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2/(d*x+c),x)","a^{2} \left(\int \frac{2 \sec{\left(e + f x \right)}}{c + d x}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{c + d x}\, dx + \int \frac{1}{c + d x}\, dx\right)"," ",0,"a**2*(Integral(2*sec(e + f*x)/(c + d*x), x) + Integral(sec(e + f*x)**2/(c + d*x), x) + Integral(1/(c + d*x), x))","F",0
10,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2/(d*x+c)**2,x)","a^{2} \left(\int \frac{2 \sec{\left(e + f x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{1}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx\right)"," ",0,"a**2*(Integral(2*sec(e + f*x)/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(sec(e + f*x)**2/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(1/(c**2 + 2*c*d*x + d**2*x**2), x))","F",0
11,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c^{3}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{3} x^{3}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c d^{2} x^{2}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c^{2} d x}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c**3/(sec(e + f*x) + 1), x) + Integral(d**3*x**3/(sec(e + f*x) + 1), x) + Integral(3*c*d**2*x**2/(sec(e + f*x) + 1), x) + Integral(3*c**2*d*x/(sec(e + f*x) + 1), x))/a","F",0
12,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c^{2}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{2} x^{2}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{2 c d x}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c**2/(sec(e + f*x) + 1), x) + Integral(d**2*x**2/(sec(e + f*x) + 1), x) + Integral(2*c*d*x/(sec(e + f*x) + 1), x))/a","F",0
13,0,0,0,0.000000," ","integrate((d*x+c)/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d x}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c/(sec(e + f*x) + 1), x) + Integral(d*x/(sec(e + f*x) + 1), x))/a","F",0
14,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*sec(f*x+e)),x)","\frac{\int \frac{1}{c \sec{\left(e + f x \right)} + c + d x \sec{\left(e + f x \right)} + d x}\, dx}{a}"," ",0,"Integral(1/(c*sec(e + f*x) + c + d*x*sec(e + f*x) + d*x), x)/a","F",0
15,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+a*sec(f*x+e)),x)","\frac{\int \frac{1}{c^{2} \sec{\left(e + f x \right)} + c^{2} + 2 c d x \sec{\left(e + f x \right)} + 2 c d x + d^{2} x^{2} \sec{\left(e + f x \right)} + d^{2} x^{2}}\, dx}{a}"," ",0,"Integral(1/(c**2*sec(e + f*x) + c**2 + 2*c*d*x*sec(e + f*x) + 2*c*d*x + d**2*x**2*sec(e + f*x) + d**2*x**2), x)/a","F",0
16,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{c^{3}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{3} x^{3}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c d^{2} x^{2}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c^{2} d x}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"(Integral(c**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(d**3*x**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(3*c*d**2*x**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(3*c**2*d*x/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
17,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{c^{2}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{2} x^{2}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{2 c d x}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"(Integral(c**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(d**2*x**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(2*c*d*x/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
18,0,0,0,0.000000," ","integrate((d*x+c)/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{c}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d x}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"(Integral(c/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(d*x/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
19,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{1}{c \sec^{2}{\left(e + f x \right)} + 2 c \sec{\left(e + f x \right)} + c + d x \sec^{2}{\left(e + f x \right)} + 2 d x \sec{\left(e + f x \right)} + d x}\, dx}{a^{2}}"," ",0,"Integral(1/(c*sec(e + f*x)**2 + 2*c*sec(e + f*x) + c + d*x*sec(e + f*x)**2 + 2*d*x*sec(e + f*x) + d*x), x)/a**2","F",0
20,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{1}{c^{2} \sec^{2}{\left(e + f x \right)} + 2 c^{2} \sec{\left(e + f x \right)} + c^{2} + 2 c d x \sec^{2}{\left(e + f x \right)} + 4 c d x \sec{\left(e + f x \right)} + 2 c d x + d^{2} x^{2} \sec^{2}{\left(e + f x \right)} + 2 d^{2} x^{2} \sec{\left(e + f x \right)} + d^{2} x^{2}}\, dx}{a^{2}}"," ",0,"Integral(1/(c**2*sec(e + f*x)**2 + 2*c**2*sec(e + f*x) + c**2 + 2*c*d*x*sec(e + f*x)**2 + 4*c*d*x*sec(e + f*x) + 2*c*d*x + d**2*x**2*sec(e + f*x)**2 + 2*d**2*x**2*sec(e + f*x) + d**2*x**2), x)/a**2","F",0
21,-1,0,0,0.000000," ","integrate((d*x+c)**m*(a+a*sec(f*x+e))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,0,0,0,0.000000," ","integrate((d*x+c)**m*(a+a*sec(f*x+e)),x)","a \left(\int \left(c + d x\right)^{m} \sec{\left(e + f x \right)}\, dx + \int \left(c + d x\right)^{m}\, dx\right)"," ",0,"a*(Integral((c + d*x)**m*sec(e + f*x), x) + Integral((c + d*x)**m, x))","F",0
23,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+a*sec(f*x+e)),x)","\frac{\int \frac{\left(c + d x\right)^{m}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"Integral((c + d*x)**m/(sec(e + f*x) + 1), x)/a","F",0
24,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+b*sec(f*x+e)),x)","\int \left(a + b \sec{\left(e + f x \right)}\right) \left(c + d x\right)^{3}\, dx"," ",0,"Integral((a + b*sec(e + f*x))*(c + d*x)**3, x)","F",0
25,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+b*sec(f*x+e)),x)","\int \left(a + b \sec{\left(e + f x \right)}\right) \left(c + d x\right)^{2}\, dx"," ",0,"Integral((a + b*sec(e + f*x))*(c + d*x)**2, x)","F",0
26,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*sec(f*x+e)),x)","\int \left(a + b \sec{\left(e + f x \right)}\right) \left(c + d x\right)\, dx"," ",0,"Integral((a + b*sec(e + f*x))*(c + d*x), x)","F",0
27,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))/(d*x+c),x)","\int \frac{a + b \sec{\left(e + f x \right)}}{c + d x}\, dx"," ",0,"Integral((a + b*sec(e + f*x))/(c + d*x), x)","F",0
28,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))/(d*x+c)**2,x)","\int \frac{a + b \sec{\left(e + f x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))/(c + d*x)**2, x)","F",0
29,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+b*sec(f*x+e))**2,x)","\int \left(a + b \sec{\left(e + f x \right)}\right)^{2} \left(c + d x\right)^{3}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**2*(c + d*x)**3, x)","F",0
30,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+b*sec(f*x+e))**2,x)","\int \left(a + b \sec{\left(e + f x \right)}\right)^{2} \left(c + d x\right)^{2}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**2*(c + d*x)**2, x)","F",0
31,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*sec(f*x+e))**2,x)","\int \left(a + b \sec{\left(e + f x \right)}\right)^{2} \left(c + d x\right)\, dx"," ",0,"Integral((a + b*sec(e + f*x))**2*(c + d*x), x)","F",0
32,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**2/(d*x+c),x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}{c + d x}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**2/(c + d*x), x)","F",0
33,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**2/(d*x+c)**2,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**2/(c + d*x)**2, x)","F",0
34,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+b*sec(f*x+e)),x)","\int \frac{\left(c + d x\right)^{3}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**3/(a + b*sec(e + f*x)), x)","F",0
35,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+b*sec(f*x+e)),x)","\int \frac{\left(c + d x\right)^{2}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**2/(a + b*sec(e + f*x)), x)","F",0
36,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*sec(f*x+e)),x)","\int \frac{c + d x}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)/(a + b*sec(e + f*x)), x)","F",0
37,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*sec(f*x+e)),x)","\int \frac{1}{\left(a + b \sec{\left(e + f x \right)}\right) \left(c + d x\right)}\, dx"," ",0,"Integral(1/((a + b*sec(e + f*x))*(c + d*x)), x)","F",0
38,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+b*sec(f*x+e)),x)","\int \frac{1}{\left(a + b \sec{\left(e + f x \right)}\right) \left(c + d x\right)^{2}}\, dx"," ",0,"Integral(1/((a + b*sec(e + f*x))*(c + d*x)**2), x)","F",0
39,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+b*sec(f*x+e))**2,x)","\int \frac{\left(c + d x\right)^{3}}{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)**3/(a + b*sec(e + f*x))**2, x)","F",0
40,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+b*sec(f*x+e))**2,x)","\int \frac{\left(c + d x\right)^{2}}{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)**2/(a + b*sec(e + f*x))**2, x)","F",0
41,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*sec(f*x+e))**2,x)","\int \frac{c + d x}{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)/(a + b*sec(e + f*x))**2, x)","F",0
42,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*sec(f*x+e))**2,x)","\int \frac{1}{\left(a + b \sec{\left(e + f x \right)}\right)^{2} \left(c + d x\right)}\, dx"," ",0,"Integral(1/((a + b*sec(e + f*x))**2*(c + d*x)), x)","F",0
43,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+b*sec(f*x+e))**2,x)","\int \frac{1}{\left(a + b \sec{\left(e + f x \right)}\right)^{2} \left(c + d x\right)^{2}}\, dx"," ",0,"Integral(1/((a + b*sec(e + f*x))**2*(c + d*x)**2), x)","F",0
44,-1,0,0,0.000000," ","integrate((d*x+c)**m*(a+b*sec(f*x+e))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,0,0,0,0.000000," ","integrate((d*x+c)**m*(a+b*sec(f*x+e)),x)","\int \left(a + b \sec{\left(e + f x \right)}\right) \left(c + d x\right)^{m}\, dx"," ",0,"Integral((a + b*sec(e + f*x))*(c + d*x)**m, x)","F",0
46,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+b*sec(f*x+e)),x)","\int \frac{\left(c + d x\right)^{m}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**m/(a + b*sec(e + f*x)), x)","F",0
