1,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**5,x)","- a^{2} c^{5} \left(\int \left(-1\right)\, dx + \int 3 \sec{\left(e + f x \right)}\, dx + \int \left(- \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \left(- 5 \sec^{3}{\left(e + f x \right)}\right)\, dx + \int 5 \sec^{4}{\left(e + f x \right)}\, dx + \int \sec^{5}{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{6}{\left(e + f x \right)}\right)\, dx + \int \sec^{7}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**2*c**5*(Integral(-1, x) + Integral(3*sec(e + f*x), x) + Integral(-sec(e + f*x)**2, x) + Integral(-5*sec(e + f*x)**3, x) + Integral(5*sec(e + f*x)**4, x) + Integral(sec(e + f*x)**5, x) + Integral(-3*sec(e + f*x)**6, x) + Integral(sec(e + f*x)**7, x))","F",0
2,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**4,x)","a^{2} c^{4} \left(\int 1\, dx + \int \left(- 2 \sec{\left(e + f x \right)}\right)\, dx + \int \left(- \sec^{2}{\left(e + f x \right)}\right)\, dx + \int 4 \sec^{3}{\left(e + f x \right)}\, dx + \int \left(- \sec^{4}{\left(e + f x \right)}\right)\, dx + \int \left(- 2 \sec^{5}{\left(e + f x \right)}\right)\, dx + \int \sec^{6}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*c**4*(Integral(1, x) + Integral(-2*sec(e + f*x), x) + Integral(-sec(e + f*x)**2, x) + Integral(4*sec(e + f*x)**3, x) + Integral(-sec(e + f*x)**4, x) + Integral(-2*sec(e + f*x)**5, x) + Integral(sec(e + f*x)**6, x))","F",0
3,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**3,x)","- a^{2} c^{3} \left(\int \left(-1\right)\, dx + \int \sec{\left(e + f x \right)}\, dx + \int 2 \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- 2 \sec^{3}{\left(e + f x \right)}\right)\, dx + \int \left(- \sec^{4}{\left(e + f x \right)}\right)\, dx + \int \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**2*c**3*(Integral(-1, x) + Integral(sec(e + f*x), x) + Integral(2*sec(e + f*x)**2, x) + Integral(-2*sec(e + f*x)**3, x) + Integral(-sec(e + f*x)**4, x) + Integral(sec(e + f*x)**5, x))","F",0
4,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**2,x)","a^{2} c^{2} \left(\int 1\, dx + \int \left(- 2 \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*c**2*(Integral(1, x) + Integral(-2*sec(e + f*x)**2, x) + Integral(sec(e + f*x)**4, x))","F",0
5,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2*(c-c*sec(f*x+e)),x)","- a^{2} c \left(\int \left(-1\right)\, dx + \int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int \sec^{2}{\left(e + f x \right)}\, dx + \int \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**2*c*(Integral(-1, x) + Integral(-sec(e + f*x), x) + Integral(sec(e + f*x)**2, x) + Integral(sec(e + f*x)**3, x))","F",0
6,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2/(c-c*sec(f*x+e)),x)","- \frac{a^{2} \left(\int \frac{2 \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{1}{\sec{\left(e + f x \right)} - 1}\, dx\right)}{c}"," ",0,"-a**2*(Integral(2*sec(e + f*x)/(sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**2/(sec(e + f*x) - 1), x) + Integral(1/(sec(e + f*x) - 1), x))/c","F",0
7,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**2,x)","\frac{a^{2} \left(\int \frac{2 \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{1}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx\right)}{c^{2}}"," ",0,"a**2*(Integral(2*sec(e + f*x)/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**2/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x) + Integral(1/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x))/c**2","F",0
8,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**3,x)","- \frac{a^{2} \left(\int \frac{2 \sec{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{1}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx\right)}{c^{3}}"," ",0,"-a**2*(Integral(2*sec(e + f*x)/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**2/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x) + Integral(1/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x))/c**3","F",0
9,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**4,x)","\frac{a^{2} \left(\int \frac{2 \sec{\left(e + f x \right)}}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{1}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx\right)}{c^{4}}"," ",0,"a**2*(Integral(2*sec(e + f*x)/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**2/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x) + Integral(1/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x))/c**4","F",0
10,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**5,x)","- \frac{a^{2} \left(\int \frac{2 \sec{\left(e + f x \right)}}{\sec^{5}{\left(e + f x \right)} - 5 \sec^{4}{\left(e + f x \right)} + 10 \sec^{3}{\left(e + f x \right)} - 10 \sec^{2}{\left(e + f x \right)} + 5 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sec^{5}{\left(e + f x \right)} - 5 \sec^{4}{\left(e + f x \right)} + 10 \sec^{3}{\left(e + f x \right)} - 10 \sec^{2}{\left(e + f x \right)} + 5 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{1}{\sec^{5}{\left(e + f x \right)} - 5 \sec^{4}{\left(e + f x \right)} + 10 \sec^{3}{\left(e + f x \right)} - 10 \sec^{2}{\left(e + f x \right)} + 5 \sec{\left(e + f x \right)} - 1}\, dx\right)}{c^{5}}"," ",0,"-a**2*(Integral(2*sec(e + f*x)/(sec(e + f*x)**5 - 5*sec(e + f*x)**4 + 10*sec(e + f*x)**3 - 10*sec(e + f*x)**2 + 5*sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**2/(sec(e + f*x)**5 - 5*sec(e + f*x)**4 + 10*sec(e + f*x)**3 - 10*sec(e + f*x)**2 + 5*sec(e + f*x) - 1), x) + Integral(1/(sec(e + f*x)**5 - 5*sec(e + f*x)**4 + 10*sec(e + f*x)**3 - 10*sec(e + f*x)**2 + 5*sec(e + f*x) - 1), x))/c**5","F",0
11,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**5,x)","- a^{3} c^{5} \left(\int \left(-1\right)\, dx + \int 2 \sec{\left(e + f x \right)}\, dx + \int 2 \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- 6 \sec^{3}{\left(e + f x \right)}\right)\, dx + \int 6 \sec^{5}{\left(e + f x \right)}\, dx + \int \left(- 2 \sec^{6}{\left(e + f x \right)}\right)\, dx + \int \left(- 2 \sec^{7}{\left(e + f x \right)}\right)\, dx + \int \sec^{8}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**3*c**5*(Integral(-1, x) + Integral(2*sec(e + f*x), x) + Integral(2*sec(e + f*x)**2, x) + Integral(-6*sec(e + f*x)**3, x) + Integral(6*sec(e + f*x)**5, x) + Integral(-2*sec(e + f*x)**6, x) + Integral(-2*sec(e + f*x)**7, x) + Integral(sec(e + f*x)**8, x))","F",0
12,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**4,x)","a^{3} c^{4} \left(\int 1\, dx + \int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int \left(- 3 \sec^{2}{\left(e + f x \right)}\right)\, dx + \int 3 \sec^{3}{\left(e + f x \right)}\, dx + \int 3 \sec^{4}{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{5}{\left(e + f x \right)}\right)\, dx + \int \left(- \sec^{6}{\left(e + f x \right)}\right)\, dx + \int \sec^{7}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*c**4*(Integral(1, x) + Integral(-sec(e + f*x), x) + Integral(-3*sec(e + f*x)**2, x) + Integral(3*sec(e + f*x)**3, x) + Integral(3*sec(e + f*x)**4, x) + Integral(-3*sec(e + f*x)**5, x) + Integral(-sec(e + f*x)**6, x) + Integral(sec(e + f*x)**7, x))","F",0
13,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**3,x)","- a^{3} c^{3} \left(\int \left(-1\right)\, dx + \int 3 \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{4}{\left(e + f x \right)}\right)\, dx + \int \sec^{6}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**3*c**3*(Integral(-1, x) + Integral(3*sec(e + f*x)**2, x) + Integral(-3*sec(e + f*x)**4, x) + Integral(sec(e + f*x)**6, x))","F",0
14,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**2,x)","a^{3} c^{2} \left(\int 1\, dx + \int \sec{\left(e + f x \right)}\, dx + \int \left(- 2 \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \left(- 2 \sec^{3}{\left(e + f x \right)}\right)\, dx + \int \sec^{4}{\left(e + f x \right)}\, dx + \int \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*c**2*(Integral(1, x) + Integral(sec(e + f*x), x) + Integral(-2*sec(e + f*x)**2, x) + Integral(-2*sec(e + f*x)**3, x) + Integral(sec(e + f*x)**4, x) + Integral(sec(e + f*x)**5, x))","F",0
15,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3*(c-c*sec(f*x+e)),x)","- a^{3} c \left(\int \left(-1\right)\, dx + \int \left(- 2 \sec{\left(e + f x \right)}\right)\, dx + \int 2 \sec^{3}{\left(e + f x \right)}\, dx + \int \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**3*c*(Integral(-1, x) + Integral(-2*sec(e + f*x), x) + Integral(2*sec(e + f*x)**3, x) + Integral(sec(e + f*x)**4, x))","F",0
16,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3/(c-c*sec(f*x+e)),x)","- \frac{a^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{1}{\sec{\left(e + f x \right)} - 1}\, dx\right)}{c}"," ",0,"-a**3*(Integral(3*sec(e + f*x)/(sec(e + f*x) - 1), x) + Integral(3*sec(e + f*x)**2/(sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x) - 1), x) + Integral(1/(sec(e + f*x) - 1), x))/c","F",0
17,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**2,x)","\frac{a^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{1}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx\right)}{c^{2}}"," ",0,"a**3*(Integral(3*sec(e + f*x)/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x) + Integral(3*sec(e + f*x)**2/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x) + Integral(1/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x))/c**2","F",0
18,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**3,x)","- \frac{a^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{1}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx\right)}{c^{3}}"," ",0,"-a**3*(Integral(3*sec(e + f*x)/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x) + Integral(3*sec(e + f*x)**2/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x) + Integral(1/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x))/c**3","F",0
19,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**4,x)","\frac{a^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{1}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx\right)}{c^{4}}"," ",0,"a**3*(Integral(3*sec(e + f*x)/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x) + Integral(3*sec(e + f*x)**2/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x) + Integral(1/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x))/c**4","F",0
20,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**5,x)","- \frac{a^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{\sec^{5}{\left(e + f x \right)} - 5 \sec^{4}{\left(e + f x \right)} + 10 \sec^{3}{\left(e + f x \right)} - 10 \sec^{2}{\left(e + f x \right)} + 5 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec^{5}{\left(e + f x \right)} - 5 \sec^{4}{\left(e + f x \right)} + 10 \sec^{3}{\left(e + f x \right)} - 10 \sec^{2}{\left(e + f x \right)} + 5 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec^{5}{\left(e + f x \right)} - 5 \sec^{4}{\left(e + f x \right)} + 10 \sec^{3}{\left(e + f x \right)} - 10 \sec^{2}{\left(e + f x \right)} + 5 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{1}{\sec^{5}{\left(e + f x \right)} - 5 \sec^{4}{\left(e + f x \right)} + 10 \sec^{3}{\left(e + f x \right)} - 10 \sec^{2}{\left(e + f x \right)} + 5 \sec{\left(e + f x \right)} - 1}\, dx\right)}{c^{5}}"," ",0,"-a**3*(Integral(3*sec(e + f*x)/(sec(e + f*x)**5 - 5*sec(e + f*x)**4 + 10*sec(e + f*x)**3 - 10*sec(e + f*x)**2 + 5*sec(e + f*x) - 1), x) + Integral(3*sec(e + f*x)**2/(sec(e + f*x)**5 - 5*sec(e + f*x)**4 + 10*sec(e + f*x)**3 - 10*sec(e + f*x)**2 + 5*sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x)**5 - 5*sec(e + f*x)**4 + 10*sec(e + f*x)**3 - 10*sec(e + f*x)**2 + 5*sec(e + f*x) - 1), x) + Integral(1/(sec(e + f*x)**5 - 5*sec(e + f*x)**4 + 10*sec(e + f*x)**3 - 10*sec(e + f*x)**2 + 5*sec(e + f*x) - 1), x))/c**5","F",0
21,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**5/(a+a*sec(f*x+e))**2,x)","- \frac{c^{5} \left(\int \frac{5 \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{10 \sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{10 \sec^{3}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{5 \sec^{4}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{5}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{1}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx\right)}{a^{2}}"," ",0,"-c**5*(Integral(5*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-10*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(10*sec(e + f*x)**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-5*sec(e + f*x)**4/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**5/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-1/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
22,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**4/(a+a*sec(f*x+e))**2,x)","\frac{c^{4} \left(\int \left(- \frac{4 \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{6 \sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{4 \sec^{3}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{1}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx\right)}{a^{2}}"," ",0,"c**4*(Integral(-4*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(6*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-4*sec(e + f*x)**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**4/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(1/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
23,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**3/(a+a*sec(f*x+e))**2,x)","- \frac{c^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{1}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx\right)}{a^{2}}"," ",0,"-c**3*(Integral(3*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-3*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-1/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
24,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**2/(a+a*sec(f*x+e))**2,x)","\frac{c^{2} \left(\int \left(- \frac{2 \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{1}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx\right)}{a^{2}}"," ",0,"c**2*(Integral(-2*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(1/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
25,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))/(a+a*sec(f*x+e))**2,x)","- \frac{c \left(\int \frac{\sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{1}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx\right)}{a^{2}}"," ",0,"-c*(Integral(sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-1/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
26,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{1}{\sec^{3}{\left(e + f x \right)} + \sec^{2}{\left(e + f x \right)} - \sec{\left(e + f x \right)} - 1}\, dx}{a^{2} c}"," ",0,"-Integral(1/(sec(e + f*x)**3 + sec(e + f*x)**2 - sec(e + f*x) - 1), x)/(a**2*c)","F",0
27,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{1}{\sec^{4}{\left(e + f x \right)} - 2 \sec^{2}{\left(e + f x \right)} + 1}\, dx}{a^{2} c^{2}}"," ",0,"Integral(1/(sec(e + f*x)**4 - 2*sec(e + f*x)**2 + 1), x)/(a**2*c**2)","F",0
28,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**3,x)","- \frac{\int \frac{1}{\sec^{5}{\left(e + f x \right)} - \sec^{4}{\left(e + f x \right)} - 2 \sec^{3}{\left(e + f x \right)} + 2 \sec^{2}{\left(e + f x \right)} + \sec{\left(e + f x \right)} - 1}\, dx}{a^{2} c^{3}}"," ",0,"-Integral(1/(sec(e + f*x)**5 - sec(e + f*x)**4 - 2*sec(e + f*x)**3 + 2*sec(e + f*x)**2 + sec(e + f*x) - 1), x)/(a**2*c**3)","F",0
29,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**4,x)","\frac{\int \frac{1}{\sec^{6}{\left(e + f x \right)} - 2 \sec^{5}{\left(e + f x \right)} - \sec^{4}{\left(e + f x \right)} + 4 \sec^{3}{\left(e + f x \right)} - \sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2} c^{4}}"," ",0,"Integral(1/(sec(e + f*x)**6 - 2*sec(e + f*x)**5 - sec(e + f*x)**4 + 4*sec(e + f*x)**3 - sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x)/(a**2*c**4)","F",0
30,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**5,x)","- \frac{\int \frac{1}{\sec^{7}{\left(e + f x \right)} - 3 \sec^{6}{\left(e + f x \right)} + \sec^{5}{\left(e + f x \right)} + 5 \sec^{4}{\left(e + f x \right)} - 5 \sec^{3}{\left(e + f x \right)} - \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx}{a^{2} c^{5}}"," ",0,"-Integral(1/(sec(e + f*x)**7 - 3*sec(e + f*x)**6 + sec(e + f*x)**5 + 5*sec(e + f*x)**4 - 5*sec(e + f*x)**3 - sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x)/(a**2*c**5)","F",0
31,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**5/(a+a*sec(f*x+e))**3,x)","- \frac{c^{5} \left(\int \frac{5 \sec{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{10 \sec^{2}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{10 \sec^{3}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{5 \sec^{4}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{5}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{1}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\right)\, dx\right)}{a^{3}}"," ",0,"-c**5*(Integral(5*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-10*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(10*sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-5*sec(e + f*x)**4/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**5/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-1/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
32,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**4/(a+a*sec(f*x+e))**3,x)","\frac{c^{4} \left(\int \left(- \frac{4 \sec{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{6 \sec^{2}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{4 \sec^{3}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{1}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx\right)}{a^{3}}"," ",0,"c**4*(Integral(-4*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(6*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-4*sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**4/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(1/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
33,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**3/(a+a*sec(f*x+e))**3,x)","- \frac{c^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{1}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\right)\, dx\right)}{a^{3}}"," ",0,"-c**3*(Integral(3*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-3*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-1/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
34,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**2/(a+a*sec(f*x+e))**3,x)","\frac{c^{2} \left(\int \left(- \frac{2 \sec{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{1}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx\right)}{a^{3}}"," ",0,"c**2*(Integral(-2*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(1/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
35,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))/(a+a*sec(f*x+e))**3,x)","- \frac{c \left(\int \frac{\sec{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{1}{\sec^{3}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} + 1}\right)\, dx\right)}{a^{3}}"," ",0,"-c*(Integral(sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-1/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
36,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{1}{\sec^{4}{\left(e + f x \right)} + 2 \sec^{3}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} - 1}\, dx}{a^{3} c}"," ",0,"-Integral(1/(sec(e + f*x)**4 + 2*sec(e + f*x)**3 - 2*sec(e + f*x) - 1), x)/(a**3*c)","F",0
37,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{1}{\sec^{5}{\left(e + f x \right)} + \sec^{4}{\left(e + f x \right)} - 2 \sec^{3}{\left(e + f x \right)} - 2 \sec^{2}{\left(e + f x \right)} + \sec{\left(e + f x \right)} + 1}\, dx}{a^{3} c^{2}}"," ",0,"Integral(1/(sec(e + f*x)**5 + sec(e + f*x)**4 - 2*sec(e + f*x)**3 - 2*sec(e + f*x)**2 + sec(e + f*x) + 1), x)/(a**3*c**2)","F",0
38,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**3,x)","- \frac{\int \frac{1}{\sec^{6}{\left(e + f x \right)} - 3 \sec^{4}{\left(e + f x \right)} + 3 \sec^{2}{\left(e + f x \right)} - 1}\, dx}{a^{3} c^{3}}"," ",0,"-Integral(1/(sec(e + f*x)**6 - 3*sec(e + f*x)**4 + 3*sec(e + f*x)**2 - 1), x)/(a**3*c**3)","F",0
39,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**4,x)","\frac{\int \frac{1}{\sec^{7}{\left(e + f x \right)} - \sec^{6}{\left(e + f x \right)} - 3 \sec^{5}{\left(e + f x \right)} + 3 \sec^{4}{\left(e + f x \right)} + 3 \sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} - \sec{\left(e + f x \right)} + 1}\, dx}{a^{3} c^{4}}"," ",0,"Integral(1/(sec(e + f*x)**7 - sec(e + f*x)**6 - 3*sec(e + f*x)**5 + 3*sec(e + f*x)**4 + 3*sec(e + f*x)**3 - 3*sec(e + f*x)**2 - sec(e + f*x) + 1), x)/(a**3*c**4)","F",0
40,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**5,x)","- \frac{\int \frac{1}{\sec^{8}{\left(e + f x \right)} - 2 \sec^{7}{\left(e + f x \right)} - 2 \sec^{6}{\left(e + f x \right)} + 6 \sec^{5}{\left(e + f x \right)} - 6 \sec^{3}{\left(e + f x \right)} + 2 \sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} - 1}\, dx}{a^{3} c^{5}}"," ",0,"-Integral(1/(sec(e + f*x)**8 - 2*sec(e + f*x)**7 - 2*sec(e + f*x)**6 + 6*sec(e + f*x)**5 - 6*sec(e + f*x)**3 + 2*sec(e + f*x)**2 + 2*sec(e + f*x) - 1), x)/(a**3*c**5)","F",0
41,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**6,x)","\frac{\int \frac{1}{\sec^{9}{\left(e + f x \right)} - 3 \sec^{8}{\left(e + f x \right)} + 8 \sec^{6}{\left(e + f x \right)} - 6 \sec^{5}{\left(e + f x \right)} - 6 \sec^{4}{\left(e + f x \right)} + 8 \sec^{3}{\left(e + f x \right)} - 3 \sec{\left(e + f x \right)} + 1}\, dx}{a^{3} c^{6}}"," ",0,"Integral(1/(sec(e + f*x)**9 - 3*sec(e + f*x)**8 + 8*sec(e + f*x)**6 - 6*sec(e + f*x)**5 - 6*sec(e + f*x)**4 + 8*sec(e + f*x)**3 - 3*sec(e + f*x) + 1), x)/(a**3*c**6)","F",0
42,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**4*(a+a*sec(f*x+e))**(1/2),x)","c^{4} \left(\int \left(- 4 \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}\right)\, dx + \int 6 \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- 4 \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)}\right)\, dx + \int \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{4}{\left(e + f x \right)}\, dx + \int \sqrt{a \sec{\left(e + f x \right)} + a}\, dx\right)"," ",0,"c**4*(Integral(-4*sqrt(a*sec(e + f*x) + a)*sec(e + f*x), x) + Integral(6*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2, x) + Integral(-4*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3, x) + Integral(sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**4, x) + Integral(sqrt(a*sec(e + f*x) + a), x))","F",0
43,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**3*(a+a*sec(f*x+e))**(1/2),x)","- c^{3} \left(\int 3 \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}\, dx + \int \left(- 3 \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)}\, dx + \int \left(- \sqrt{a \sec{\left(e + f x \right)} + a}\right)\, dx\right)"," ",0,"-c**3*(Integral(3*sqrt(a*sec(e + f*x) + a)*sec(e + f*x), x) + Integral(-3*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2, x) + Integral(sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3, x) + Integral(-sqrt(a*sec(e + f*x) + a), x))","F",0
44,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**2*(a+a*sec(f*x+e))**(1/2),x)","c^{2} \left(\int \left(- 2 \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}\right)\, dx + \int \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)}\, dx + \int \sqrt{a \sec{\left(e + f x \right)} + a}\, dx\right)"," ",0,"c**2*(Integral(-2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x), x) + Integral(sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2, x) + Integral(sqrt(a*sec(e + f*x) + a), x))","F",0
45,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))*(a+a*sec(f*x+e))**(1/2),x)","- c \left(\int \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}\, dx + \int \left(- \sqrt{a \sec{\left(e + f x \right)} + a}\right)\, dx\right)"," ",0,"-c*(Integral(sqrt(a*sec(e + f*x) + a)*sec(e + f*x), x) + Integral(-sqrt(a*sec(e + f*x) + a), x))","F",0
46,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{\sqrt{a \sec{\left(e + f x \right)} + a}}{\sec{\left(e + f x \right)} - 1}\, dx}{c}"," ",0,"-Integral(sqrt(a*sec(e + f*x) + a)/(sec(e + f*x) - 1), x)/c","F",0
47,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{\sqrt{a \sec{\left(e + f x \right)} + a}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx}{c^{2}}"," ",0,"Integral(sqrt(a*sec(e + f*x) + a)/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x)/c**2","F",0
48,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e))**3,x)","- \frac{\int \frac{\sqrt{a \sec{\left(e + f x \right)} + a}}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx}{c^{3}}"," ",0,"-Integral(sqrt(a*sec(e + f*x) + a)/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x)/c**3","F",0
49,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e))**4,x)","\frac{\int \frac{\sqrt{a \sec{\left(e + f x \right)} + a}}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx}{c^{4}}"," ",0,"Integral(sqrt(a*sec(e + f*x) + a)/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x)/c**4","F",0
50,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c-c*sec(f*x+e))**3,x)","- c^{3} \left(\int \left(- a \sqrt{a \sec{\left(e + f x \right)} + a}\right)\, dx + \int 2 a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}\, dx + \int \left(- 2 a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)}\right)\, dx + \int a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"-c**3*(Integral(-a*sqrt(a*sec(e + f*x) + a), x) + Integral(2*a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x), x) + Integral(-2*a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3, x) + Integral(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**4, x))","F",0
51,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c-c*sec(f*x+e))**2,x)","c^{2} \left(\int a \sqrt{a \sec{\left(e + f x \right)} + a}\, dx + \int \left(- a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}\right)\, dx + \int \left(- a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)}\right)\, dx + \int a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"c**2*(Integral(a*sqrt(a*sec(e + f*x) + a), x) + Integral(-a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x), x) + Integral(-a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2, x) + Integral(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3, x))","F",0
52,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c-c*sec(f*x+e)),x)","- c \left(\int \left(- a \sqrt{a \sec{\left(e + f x \right)} + a}\right)\, dx + \int a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)}\, dx\right)"," ",0,"-c*(Integral(-a*sqrt(a*sec(e + f*x) + a), x) + Integral(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2, x))","F",0
53,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{a \sqrt{a \sec{\left(e + f x \right)} + a}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx}{c}"," ",0,"-(Integral(a*sqrt(a*sec(e + f*x) + a)/(sec(e + f*x) - 1), x) + Integral(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)/(sec(e + f*x) - 1), x))/c","F",0
54,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{a \sqrt{a \sec{\left(e + f x \right)} + a}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx}{c^{2}}"," ",0,"(Integral(a*sqrt(a*sec(e + f*x) + a)/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x) + Integral(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x))/c**2","F",0
55,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**3,x)","- \frac{\int \frac{a \sqrt{a \sec{\left(e + f x \right)} + a}}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} - 3 \sec^{2}{\left(e + f x \right)} + 3 \sec{\left(e + f x \right)} - 1}\, dx}{c^{3}}"," ",0,"-(Integral(a*sqrt(a*sec(e + f*x) + a)/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x) + Integral(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x))/c**3","F",0
56,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**4,x)","\frac{\int \frac{a \sqrt{a \sec{\left(e + f x \right)} + a}}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}}{\sec^{4}{\left(e + f x \right)} - 4 \sec^{3}{\left(e + f x \right)} + 6 \sec^{2}{\left(e + f x \right)} - 4 \sec{\left(e + f x \right)} + 1}\, dx}{c^{4}}"," ",0,"(Integral(a*sqrt(a*sec(e + f*x) + a)/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x) + Integral(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)/(sec(e + f*x)**4 - 4*sec(e + f*x)**3 + 6*sec(e + f*x)**2 - 4*sec(e + f*x) + 1), x))/c**4","F",0
57,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c-c*sec(f*x+e))**3,x)","- c^{3} \left(\int \left(- a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}\right)\, dx + \int a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}\, dx + \int 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)}\right)\, dx + \int \left(- a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{4}{\left(e + f x \right)}\right)\, dx + \int a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"-c**3*(Integral(-a**2*sqrt(a*sec(e + f*x) + a), x) + Integral(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x), x) + Integral(2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2, x) + Integral(-2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3, x) + Integral(-a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**4, x) + Integral(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**5, x))","F",0
58,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c-c*sec(f*x+e))**2,x)","c^{2} \left(\int a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}\, dx + \int \left(- 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)}\right)\, dx + \int a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"c**2*(Integral(a**2*sqrt(a*sec(e + f*x) + a), x) + Integral(-2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2, x) + Integral(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**4, x))","F",0
59,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c-c*sec(f*x+e)),x)","- c \left(\int \left(- a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}\right)\, dx + \int \left(- a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}\right)\, dx + \int a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)}\, dx + \int a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"-c*(Integral(-a**2*sqrt(a*sec(e + f*x) + a), x) + Integral(-a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x), x) + Integral(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2, x) + Integral(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3, x))","F",0
60,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx}{c}"," ",0,"-(Integral(a**2*sqrt(a*sec(e + f*x) + a)/(sec(e + f*x) - 1), x) + Integral(2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)/(sec(e + f*x) - 1), x) + Integral(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2/(sec(e + f*x) - 1), x))/c","F",0
61,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
63,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**4/(a+a*sec(f*x+e))**(1/2),x)","c^{4} \left(\int \left(- \frac{4 \sec{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{6 \sec^{2}{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{4 \sec^{3}{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \frac{1}{\sqrt{a \sec{\left(e + f x \right)} + a}}\, dx\right)"," ",0,"c**4*(Integral(-4*sec(e + f*x)/sqrt(a*sec(e + f*x) + a), x) + Integral(6*sec(e + f*x)**2/sqrt(a*sec(e + f*x) + a), x) + Integral(-4*sec(e + f*x)**3/sqrt(a*sec(e + f*x) + a), x) + Integral(sec(e + f*x)**4/sqrt(a*sec(e + f*x) + a), x) + Integral(1/sqrt(a*sec(e + f*x) + a), x))","F",0
66,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**3/(a+a*sec(f*x+e))**(1/2),x)","- c^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{3 \sec^{2}{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{1}{\sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx\right)"," ",0,"-c**3*(Integral(3*sec(e + f*x)/sqrt(a*sec(e + f*x) + a), x) + Integral(-3*sec(e + f*x)**2/sqrt(a*sec(e + f*x) + a), x) + Integral(sec(e + f*x)**3/sqrt(a*sec(e + f*x) + a), x) + Integral(-1/sqrt(a*sec(e + f*x) + a), x))","F",0
67,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**2/(a+a*sec(f*x+e))**(1/2),x)","c^{2} \left(\int \left(- \frac{2 \sec{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \frac{1}{\sqrt{a \sec{\left(e + f x \right)} + a}}\, dx\right)"," ",0,"c**2*(Integral(-2*sec(e + f*x)/sqrt(a*sec(e + f*x) + a), x) + Integral(sec(e + f*x)**2/sqrt(a*sec(e + f*x) + a), x) + Integral(1/sqrt(a*sec(e + f*x) + a), x))","F",0
68,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","- c \left(\int \frac{\sec{\left(e + f x \right)}}{\sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{1}{\sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx\right)"," ",0,"-c*(Integral(sec(e + f*x)/sqrt(a*sec(e + f*x) + a), x) + Integral(-1/sqrt(a*sec(e + f*x) + a), x))","F",0
69,0,0,0,0.000000," ","integrate(1/(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","- \frac{\int \frac{1}{\sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} - \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx}{c}"," ",0,"-Integral(1/(sqrt(a*sec(e + f*x) + a)*sec(e + f*x) - sqrt(a*sec(e + f*x) + a)), x)/c","F",0
70,0,0,0,0.000000," ","integrate(1/(c-c*sec(f*x+e))**2/(a+a*sec(f*x+e))**(1/2),x)","\frac{\int \frac{1}{\sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} - 2 \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx}{c^{2}}"," ",0,"Integral(1/(sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 - 2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + sqrt(a*sec(e + f*x) + a)), x)/c**2","F",0
71,0,0,0,0.000000," ","integrate(1/(c-c*sec(f*x+e))**3/(a+a*sec(f*x+e))**(1/2),x)","- \frac{\int \frac{1}{\sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)} - 3 \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 3 \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} - \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx}{c^{3}}"," ",0,"-Integral(1/(sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3 - 3*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 3*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) - sqrt(a*sec(e + f*x) + a)), x)/c**3","F",0
72,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**4/(a+a*sec(f*x+e))**(3/2),x)","c^{4} \left(\int \left(- \frac{4 \sec{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{6 \sec^{2}{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{4 \sec^{3}{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \frac{1}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx\right)"," ",0,"c**4*(Integral(-4*sec(e + f*x)/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(6*sec(e + f*x)**2/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(-4*sec(e + f*x)**3/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(sec(e + f*x)**4/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(1/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x))","F",0
73,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**3/(a+a*sec(f*x+e))**(3/2),x)","- c^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{3 \sec^{2}{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{1}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx\right)"," ",0,"-c**3*(Integral(3*sec(e + f*x)/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(-3*sec(e + f*x)**2/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(sec(e + f*x)**3/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(-1/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x))","F",0
74,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**2/(a+a*sec(f*x+e))**(3/2),x)","c^{2} \left(\int \left(- \frac{2 \sec{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \frac{1}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx\right)"," ",0,"c**2*(Integral(-2*sec(e + f*x)/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(sec(e + f*x)**2/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(1/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x))","F",0
75,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))/(a+a*sec(f*x+e))**(3/2),x)","- c \left(\int \frac{\sec{\left(e + f x \right)}}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{1}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx\right)"," ",0,"-c*(Integral(sec(e + f*x)/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x) + Integral(-1/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x))","F",0
76,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{1}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} - a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx}{c}"," ",0,"-Integral(1/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 - a*sqrt(a*sec(e + f*x) + a)), x)/c","F",0
77,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{1}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)} - a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} - a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx}{c^{2}}"," ",0,"Integral(1/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3 - a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 - a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a*sqrt(a*sec(e + f*x) + a)), x)/c**2","F",0
78,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**3,x)","- \frac{\int \frac{1}{a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{4}{\left(e + f x \right)} - 2 a \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)} + 2 a \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} - a \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx}{c^{3}}"," ",0,"-Integral(1/(a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**4 - 2*a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3 + 2*a*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) - a*sqrt(a*sec(e + f*x) + a)), x)/c**3","F",0
79,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**5/(a+a*sec(f*x+e))**(5/2),x)","- c^{5} \left(\int \frac{5 \sec{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{10 \sec^{2}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{10 \sec^{3}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{5 \sec^{4}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{5}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{1}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx\right)"," ",0,"-c**5*(Integral(5*sec(e + f*x)/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(-10*sec(e + f*x)**2/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(10*sec(e + f*x)**3/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(-5*sec(e + f*x)**4/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(sec(e + f*x)**5/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(-1/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x))","F",0
80,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**4/(a+a*sec(f*x+e))**(5/2),x)","c^{4} \left(\int \left(- \frac{4 \sec{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{6 \sec^{2}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{4 \sec^{3}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \frac{1}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx\right)"," ",0,"c**4*(Integral(-4*sec(e + f*x)/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(6*sec(e + f*x)**2/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(-4*sec(e + f*x)**3/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(sec(e + f*x)**4/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(1/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x))","F",0
81,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**3/(a+a*sec(f*x+e))**(5/2),x)","- c^{3} \left(\int \frac{3 \sec{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{3 \sec^{2}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{1}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx\right)"," ",0,"-c**3*(Integral(3*sec(e + f*x)/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(-3*sec(e + f*x)**2/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(sec(e + f*x)**3/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(-1/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x))","F",0
82,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**2/(a+a*sec(f*x+e))**(5/2),x)","c^{2} \left(\int \left(- \frac{2 \sec{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \frac{1}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx\right)"," ",0,"c**2*(Integral(-2*sec(e + f*x)/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(sec(e + f*x)**2/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(1/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x))","F",0
83,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))/(a+a*sec(f*x+e))**(5/2),x)","- c \left(\int \frac{\sec{\left(e + f x \right)}}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx + \int \left(- \frac{1}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\right)\, dx\right)"," ",0,"-c*(Integral(sec(e + f*x)/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x) + Integral(-1/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) + a**2*sqrt(a*sec(e + f*x) + a)), x))","F",0
84,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{1}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{3}{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} - a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec{\left(e + f x \right)} - a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx}{c}"," ",0,"-Integral(1/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**3 + a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 - a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x) - a**2*sqrt(a*sec(e + f*x) + a)), x)/c","F",0
85,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{1}{a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{4}{\left(e + f x \right)} - 2 a^{2} \sqrt{a \sec{\left(e + f x \right)} + a} \sec^{2}{\left(e + f x \right)} + a^{2} \sqrt{a \sec{\left(e + f x \right)} + a}}\, dx}{c^{2}}"," ",0,"Integral(1/(a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**4 - 2*a**2*sqrt(a*sec(e + f*x) + a)*sec(e + f*x)**2 + a**2*sqrt(a*sec(e + f*x) + a)), x)/c**2","F",0
86,-1,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(7/2)*(a+a*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,-1,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(5/2)*(a+a*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
88,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(3/2)*(a+a*sec(f*x+e))**(1/2),x)","\int \sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*(-c*(sec(e + f*x) - 1))**(3/2), x)","F",0
89,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(1/2)*(a+a*sec(f*x+e))**(1/2),x)","\int \sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*sqrt(-c*(sec(e + f*x) - 1)), x)","F",0
90,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e))**(1/2),x)","\int \frac{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}{\sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))/sqrt(-c*(sec(e + f*x) - 1)), x)","F",0
91,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e))**(3/2),x)","\int \frac{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))/(-c*(sec(e + f*x) - 1))**(3/2), x)","F",0
92,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e))**(5/2),x)","\int \frac{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))/(-c*(sec(e + f*x) - 1))**(5/2), x)","F",0
93,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c-c*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c-c*sec(f*x+e))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
96,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c-c*sec(f*x+e))**(1/2),x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)*sqrt(-c*(sec(e + f*x) - 1)), x)","F",0
97,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(1/2),x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}{\sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)/sqrt(-c*(sec(e + f*x) - 1)), x)","F",0
98,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(3/2),x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)/(-c*(sec(e + f*x) - 1))**(3/2), x)","F",0
99,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(5/2),x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)/(-c*(sec(e + f*x) - 1))**(5/2), x)","F",0
100,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c-c*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c-c*sec(f*x+e))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
103,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c-c*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,-1,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(7/2)/(a+a*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
111,-1,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(5/2)/(a+a*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(3/2)/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{3}{2}}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral((-c*(sec(e + f*x) - 1))**(3/2)/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
113,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(1/2)/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(sqrt(-c*(sec(e + f*x) - 1))/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
114,0,0,0,0.000000," ","integrate(1/(c-c*sec(f*x+e))**(1/2)/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}\, dx"," ",0,"Integral(1/(sqrt(a*(sec(e + f*x) + 1))*sqrt(-c*(sec(e + f*x) - 1))), x)","F",0
115,0,0,0,0.000000," ","integrate(1/(c-c*sec(f*x+e))**(3/2)/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(a*(sec(e + f*x) + 1))*(-c*(sec(e + f*x) - 1))**(3/2)), x)","F",0
116,0,0,0,0.000000," ","integrate(1/(c-c*sec(f*x+e))**(5/2)/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(sqrt(a*(sec(e + f*x) + 1))*(-c*(sec(e + f*x) - 1))**(5/2)), x)","F",0
117,-1,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(7/2)/(a+a*sec(f*x+e))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(5/2)/(a+a*sec(f*x+e))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(3/2)/(a+a*sec(f*x+e))**(3/2),x)","\int \frac{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{3}{2}}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((-c*(sec(e + f*x) - 1))**(3/2)/(a*(sec(e + f*x) + 1))**(3/2), x)","F",0
120,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(1/2)/(a+a*sec(f*x+e))**(3/2),x)","\int \frac{\sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(-c*(sec(e + f*x) - 1))/(a*(sec(e + f*x) + 1))**(3/2), x)","F",0
121,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(1/2),x)","\int \frac{1}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}\, dx"," ",0,"Integral(1/((a*(sec(e + f*x) + 1))**(3/2)*sqrt(-c*(sec(e + f*x) - 1))), x)","F",0
122,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(3/2),x)","\int \frac{1}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a*(sec(e + f*x) + 1))**(3/2)*(-c*(sec(e + f*x) - 1))**(3/2)), x)","F",0
123,-1,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,-1,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(7/2)/(a+a*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,-1,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(5/2)/(a+a*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(3/2)/(a+a*sec(f*x+e))**(5/2),x)","\int \frac{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{3}{2}}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((-c*(sec(e + f*x) - 1))**(3/2)/(a*(sec(e + f*x) + 1))**(5/2), x)","F",0
127,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**(1/2)/(a+a*sec(f*x+e))**(5/2),x)","\int \frac{\sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(-c*(sec(e + f*x) - 1))/(a*(sec(e + f*x) + 1))**(5/2), x)","F",0
128,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(1/2),x)","\int \frac{1}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}} \sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}\, dx"," ",0,"Integral(1/((a*(sec(e + f*x) + 1))**(5/2)*sqrt(-c*(sec(e + f*x) - 1))), x)","F",0
129,-1,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,0,0,0,0.000000," ","integrate((1+sec(f*x+e))**m*(c-c*sec(f*x+e))**n,x)","\int \left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{n} \left(\sec{\left(e + f x \right)} + 1\right)^{m}\, dx"," ",0,"Integral((-c*(sec(e + f*x) - 1))**n*(sec(e + f*x) + 1)**m, x)","F",0
132,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**n,x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{m} \left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{n}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**m*(-c*(sec(e + f*x) - 1))**n, x)","F",0
133,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**n,x)","a^{3} \left(\int 3 \left(- c \sec{\left(e + f x \right)} + c\right)^{n} \sec{\left(e + f x \right)}\, dx + \int 3 \left(- c \sec{\left(e + f x \right)} + c\right)^{n} \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- c \sec{\left(e + f x \right)} + c\right)^{n} \sec^{3}{\left(e + f x \right)}\, dx + \int \left(- c \sec{\left(e + f x \right)} + c\right)^{n}\, dx\right)"," ",0,"a**3*(Integral(3*(-c*sec(e + f*x) + c)**n*sec(e + f*x), x) + Integral(3*(-c*sec(e + f*x) + c)**n*sec(e + f*x)**2, x) + Integral((-c*sec(e + f*x) + c)**n*sec(e + f*x)**3, x) + Integral((-c*sec(e + f*x) + c)**n, x))","F",0
134,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**n,x)","a^{2} \left(\int 2 \left(- c \sec{\left(e + f x \right)} + c\right)^{n} \sec{\left(e + f x \right)}\, dx + \int \left(- c \sec{\left(e + f x \right)} + c\right)^{n} \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- c \sec{\left(e + f x \right)} + c\right)^{n}\, dx\right)"," ",0,"a**2*(Integral(2*(-c*sec(e + f*x) + c)**n*sec(e + f*x), x) + Integral((-c*sec(e + f*x) + c)**n*sec(e + f*x)**2, x) + Integral((-c*sec(e + f*x) + c)**n, x))","F",0
135,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))*(c-c*sec(f*x+e))**n,x)","a \left(\int \left(- c \sec{\left(e + f x \right)} + c\right)^{n} \sec{\left(e + f x \right)}\, dx + \int \left(- c \sec{\left(e + f x \right)} + c\right)^{n}\, dx\right)"," ",0,"a*(Integral((-c*sec(e + f*x) + c)**n*sec(e + f*x), x) + Integral((-c*sec(e + f*x) + c)**n, x))","F",0
136,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**n/(a+a*sec(f*x+e)),x)","\frac{\int \frac{\left(- c \sec{\left(e + f x \right)} + c\right)^{n}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"Integral((-c*sec(e + f*x) + c)**n/(sec(e + f*x) + 1), x)/a","F",0
137,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**n/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{\left(- c \sec{\left(e + f x \right)} + c\right)^{n}}{\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) + c)**n/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x)/a**2","F",0
138,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c-c*sec(f*x+e))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c-c*sec(f*x+e))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)*(c-c*sec(f*x+e))**n,x)","\int \sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{n}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*(-c*(sec(e + f*x) - 1))**n, x)","F",0
141,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**n/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{n}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral((-c*(sec(e + f*x) - 1))**n/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
142,0,0,0,0.000000," ","integrate((c-c*sec(f*x+e))**n/(a+a*sec(f*x+e))**(3/2),x)","\int \frac{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{n}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((-c*(sec(e + f*x) - 1))**n/(a*(sec(e + f*x) + 1))**(3/2), x)","F",0
143,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c+c*sec(f*x+e)),x)","\frac{\int \frac{\sqrt{a \sec{\left(e + f x \right)} + a}}{\sec{\left(e + f x \right)} + 1}\, dx}{c}"," ",0,"Integral(sqrt(a*sec(e + f*x) + a)/(sec(e + f*x) + 1), x)/c","F",0
144,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**(3/2)/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c \sqrt{c + d \sec{\left(e + f x \right)}}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d \sqrt{c + d \sec{\left(e + f x \right)}} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c*sqrt(c + d*sec(e + f*x))/(sec(e + f*x) + 1), x) + Integral(d*sqrt(c + d*sec(e + f*x))*sec(e + f*x)/(sec(e + f*x) + 1), x))/a","F",0
145,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**(1/2)/(a+a*sec(f*x+e)),x)","\frac{\int \frac{\sqrt{c + d \sec{\left(e + f x \right)}}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"Integral(sqrt(c + d*sec(e + f*x))/(sec(e + f*x) + 1), x)/a","F",0
146,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))/(c+d*sec(f*x+e))**(1/2),x)","\frac{\int \frac{1}{\sqrt{c + d \sec{\left(e + f x \right)}} \sec{\left(e + f x \right)} + \sqrt{c + d \sec{\left(e + f x \right)}}}\, dx}{a}"," ",0,"Integral(1/(sqrt(c + d*sec(e + f*x))*sec(e + f*x) + sqrt(c + d*sec(e + f*x))), x)/a","F",0
147,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**4*(a+a*sec(f*x+e))**(1/2),x)","\int \sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)^{4}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x))**4, x)","F",0
148,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**3*(a+a*sec(f*x+e))**(1/2),x)","\int \sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x))**3, x)","F",0
149,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**2*(a+a*sec(f*x+e))**(1/2),x)","\int \sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x))**2, x)","F",0
150,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))*(a+a*sec(f*x+e))**(1/2),x)","\int \sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x)), x)","F",0
151,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e)),x)","\int \frac{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))/(c + d*sec(e + f*x)), x)","F",0
152,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**2,x)","\int \frac{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}{\left(c + d \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))/(c + d*sec(e + f*x))**2, x)","F",0
153,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**3,x)","\int \frac{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}{\left(c + d \sec{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))/(c + d*sec(e + f*x))**3, x)","F",0
154,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c+d*sec(f*x+e))**3,x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \left(c + d \sec{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)*(c + d*sec(e + f*x))**3, x)","F",0
155,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c+d*sec(f*x+e))**2,x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \left(c + d \sec{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)*(c + d*sec(e + f*x))**2, x)","F",0
156,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)*(c+d*sec(f*x+e)),x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \left(c + d \sec{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)*(c + d*sec(e + f*x)), x)","F",0
157,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e)),x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)/(c + d*sec(e + f*x)), x)","F",0
158,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e))**2,x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)/(c + d*sec(e + f*x))**2, x)","F",0
159,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e))**3,x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)/(c + d*sec(e + f*x))**3, x)","F",0
160,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c+d*sec(f*x+e))**3,x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}} \left(c + d \sec{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(5/2)*(c + d*sec(e + f*x))**3, x)","F",0
161,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c+d*sec(f*x+e))**2,x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}} \left(c + d \sec{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(5/2)*(c + d*sec(e + f*x))**2, x)","F",0
162,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)*(c+d*sec(f*x+e)),x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}} \left(c + d \sec{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(5/2)*(c + d*sec(e + f*x)), x)","F",0
163,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e)),x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(5/2)/(c + d*sec(e + f*x)), x)","F",0
164,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e))**2,x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(5/2)/(c + d*sec(e + f*x))**2, x)","F",0
165,-1,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**3/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{3}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**3/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
167,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**2/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{2}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**2/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
168,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{c + d \sec{\left(e + f x \right)}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
169,0,0,0,0.000000," ","integrate(1/(c+d*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(1/(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x))), x)","F",0
170,0,0,0,0.000000," ","integrate(1/(c+d*sec(f*x+e))**2/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x))**2), x)","F",0
171,0,0,0,0.000000," ","integrate(1/(c+d*sec(f*x+e))**3/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x))**3), x)","F",0
172,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**3/(a+a*sec(f*x+e))**(3/2),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{3}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**3/(a*(sec(e + f*x) + 1))**(3/2), x)","F",0
173,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**2/(a+a*sec(f*x+e))**(3/2),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{2}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**2/(a*(sec(e + f*x) + 1))**(3/2), x)","F",0
174,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))/(a+a*sec(f*x+e))**(3/2),x)","\int \frac{c + d \sec{\left(e + f x \right)}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))/(a*(sec(e + f*x) + 1))**(3/2), x)","F",0
175,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e)),x)","\int \frac{1}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(1/((a*(sec(e + f*x) + 1))**(3/2)*(c + d*sec(e + f*x))), x)","F",0
176,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e))**2,x)","\int \frac{1}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \left(c + d \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((a*(sec(e + f*x) + 1))**(3/2)*(c + d*sec(e + f*x))**2), x)","F",0
177,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e))**3,x)","\int \frac{1}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \left(c + d \sec{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/((a*(sec(e + f*x) + 1))**(3/2)*(c + d*sec(e + f*x))**3), x)","F",0
178,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**3/(a+a*sec(f*x+e))**(5/2),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{3}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**3/(a*(sec(e + f*x) + 1))**(5/2), x)","F",0
179,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**2/(a+a*sec(f*x+e))**(5/2),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{2}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**2/(a*(sec(e + f*x) + 1))**(5/2), x)","F",0
180,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))/(a+a*sec(f*x+e))**(5/2),x)","\int \frac{c + d \sec{\left(e + f x \right)}}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))/(a*(sec(e + f*x) + 1))**(5/2), x)","F",0
181,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e)),x)","\int \frac{1}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(1/((a*(sec(e + f*x) + 1))**(5/2)*(c + d*sec(e + f*x))), x)","F",0
182,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e))**2,x)","\int \frac{1}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}} \left(c + d \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((a*(sec(e + f*x) + 1))**(5/2)*(c + d*sec(e + f*x))**2), x)","F",0
183,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e))**3,x)","\int \frac{1}{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}} \left(c + d \sec{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/((a*(sec(e + f*x) + 1))**(5/2)*(c + d*sec(e + f*x))**3), x)","F",0
184,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**(1/2)*(a+a*sec(f*x+e))**(1/2),x)","\int \sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \sqrt{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*sqrt(c + d*sec(e + f*x)), x)","F",0
185,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(1/2),x)","\int \frac{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}{\sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))/sqrt(c + d*sec(e + f*x)), x)","F",0
186,0,0,0,0.000000," ","integrate((a+a*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(3/2),x)","\int \frac{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}{\left(c + d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))/(c + d*sec(e + f*x))**(3/2), x)","F",0
187,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**(1/2)/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\sqrt{c + d \sec{\left(e + f x \right)}}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(sqrt(c + d*sec(e + f*x))/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
188,0,0,0,0.000000," ","integrate(1/(a+a*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(1/(sqrt(a*(sec(e + f*x) + 1))*sqrt(c + d*sec(e + f*x))), x)","F",0
189,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))/(c+d*sec(f*x+e)),x)","\int \frac{a + b \sec{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))/(c + d*sec(e + f*x)), x)","F",0
190,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))/(c+d*sec(f*x+e))**2,x)","\int \frac{a + b \sec{\left(e + f x \right)}}{\left(c + d \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))/(c + d*sec(e + f*x))**2, x)","F",0
191,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))/(c+d*sec(f*x+e))**3,x)","\int \frac{a + b \sec{\left(e + f x \right)}}{\left(c + d \sec{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))/(c + d*sec(e + f*x))**3, x)","F",0
192,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**2/(c+d*sec(f*x+e))**2,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}{\left(c + d \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**2/(c + d*sec(e + f*x))**2, x)","F",0
193,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**2/(c+d*sec(f*x+e))**3,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}{\left(c + d \sec{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**2/(c + d*sec(e + f*x))**3, x)","F",0
194,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**2/(c+d*sec(f*x+e))**4,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}{\left(c + d \sec{\left(e + f x \right)}\right)^{4}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**2/(c + d*sec(e + f*x))**4, x)","F",0
195,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**3/(c+d*sec(f*x+e))**3,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{3}}{\left(c + d \sec{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**3/(c + d*sec(e + f*x))**3, x)","F",0
196,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**3/(c+d*sec(f*x+e))**4,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{3}}{\left(c + d \sec{\left(e + f x \right)}\right)^{4}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**3/(c + d*sec(e + f*x))**4, x)","F",0
197,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**3/(c+d*sec(f*x+e))**5,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{3}}{\left(c + d \sec{\left(e + f x \right)}\right)^{5}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**3/(c + d*sec(e + f*x))**5, x)","F",0
198,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))*(a+b*sec(f*x+e))**(1/2),x)","\int \sqrt{a + b \sec{\left(e + f x \right)}} \left(c + d \sec{\left(e + f x \right)}\right)\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x))*(c + d*sec(e + f*x)), x)","F",0
199,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e)),x)","\int \frac{\sqrt{a + b \sec{\left(e + f x \right)}}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x))/(c + d*sec(e + f*x)), x)","F",0
200,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(3/2)*(c+d*sec(f*x+e)),x)","\int \left(a + b \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \left(c + d \sec{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((a + b*sec(e + f*x))**(3/2)*(c + d*sec(e + f*x)), x)","F",0
201,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e)),x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**(3/2)/(c + d*sec(e + f*x)), x)","F",0
202,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(5/2)*(c+d*sec(f*x+e)),x)","\int \left(a + b \sec{\left(e + f x \right)}\right)^{\frac{5}{2}} \left(c + d \sec{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((a + b*sec(e + f*x))**(5/2)*(c + d*sec(e + f*x)), x)","F",0
203,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\int \frac{c + d \sec{\left(e + f x \right)}}{\sqrt{a + b \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))/sqrt(a + b*sec(e + f*x)), x)","F",0
204,0,0,0,0.000000," ","integrate(1/(c+d*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a + b \sec{\left(e + f x \right)}} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(1/(sqrt(a + b*sec(e + f*x))*(c + d*sec(e + f*x))), x)","F",0
205,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))/(a+b*sec(f*x+e))**(3/2),x)","\int \frac{c + d \sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))/(a + b*sec(e + f*x))**(3/2), x)","F",0
206,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))/(a+b*sec(f*x+e))**(5/2),x)","\int \frac{c + d \sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))/(a + b*sec(e + f*x))**(5/2), x)","F",0
207,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(1/2)*(c+d*sec(f*x+e))**(1/2),x)","\int \sqrt{a + b \sec{\left(e + f x \right)}} \sqrt{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x))*sqrt(c + d*sec(e + f*x)), x)","F",0
208,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(1/2),x)","\int \frac{\sqrt{a + b \sec{\left(e + f x \right)}}}{\sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x))/sqrt(c + d*sec(e + f*x)), x)","F",0
209,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(3/2),x)","\int \frac{\sqrt{a + b \sec{\left(e + f x \right)}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x))/(c + d*sec(e + f*x))**(3/2), x)","F",0
210,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(5/2),x)","\int \frac{\sqrt{a + b \sec{\left(e + f x \right)}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x))/(c + d*sec(e + f*x))**(5/2), x)","F",0
211,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e))**(3/2),x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**(3/2)/(c + d*sec(e + f*x))**(3/2), x)","F",0
212,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e))**(5/2),x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**(3/2)/(c + d*sec(e + f*x))**(5/2), x)","F",0
213,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
214,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
215,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
216,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
217,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**(3/2)/(a+b*sec(f*x+e))**(1/2),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{\sqrt{a + b \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**(3/2)/sqrt(a + b*sec(e + f*x)), x)","F",0
218,0,0,0,0.000000," ","integrate((c+d*sec(f*x+e))**(1/2)/(a+b*sec(f*x+e))**(1/2),x)","\int \frac{\sqrt{c + d \sec{\left(e + f x \right)}}}{\sqrt{a + b \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sqrt(c + d*sec(e + f*x))/sqrt(a + b*sec(e + f*x)), x)","F",0
219,0,0,0,0.000000," ","integrate(1/(c+d*sec(f*x+e))**(1/2)/(a+b*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a + b \sec{\left(e + f x \right)}} \sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(1/(sqrt(a + b*sec(e + f*x))*sqrt(c + d*sec(e + f*x))), x)","F",0
220,0,0,0,0.000000," ","integrate(1/(c+d*sec(f*x+e))**(3/2)/(a+b*sec(f*x+e))**(1/2),x)","\int \frac{1}{\sqrt{a + b \sec{\left(e + f x \right)}} \left(c + d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(a + b*sec(e + f*x))*(c + d*sec(e + f*x))**(3/2)), x)","F",0
221,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(1/3)/(c+d*sec(f*x+e))**(1/3),x)","\int \frac{\sqrt[3]{a + b \sec{\left(e + f x \right)}}}{\sqrt[3]{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**(1/3)/(c + d*sec(e + f*x))**(1/3), x)","F",0
222,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(1/3)/(c+d*sec(f*x+e))**(4/3),x)","\int \frac{\sqrt[3]{a + b \sec{\left(e + f x \right)}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**(1/3)/(c + d*sec(e + f*x))**(4/3), x)","F",0
223,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(1/3)/(c+d*sec(f*x+e))**(7/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
224,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(2/3)/(c+d*sec(f*x+e))**(2/3),x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{\frac{2}{3}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**(2/3)/(c + d*sec(e + f*x))**(2/3), x)","F",0
225,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(2/3)/(c+d*sec(f*x+e))**(5/3),x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right)^{\frac{2}{3}}}{\left(c + d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))**(2/3)/(c + d*sec(e + f*x))**(5/3), x)","F",0
226,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(2/3)/(c+d*sec(f*x+e))**(8/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
227,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(4/3)/(c+d*sec(f*x+e))**(4/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
228,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(4/3)/(c+d*sec(f*x+e))**(7/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
229,-1,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**(4/3)/(c+d*sec(f*x+e))**(10/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
230,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n*(a+a*sec(f*x+e))**m,x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{m} \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**m*(c*(d*sec(e + f*x))**p)**n, x)","F",0
231,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n*(a+a*sec(f*x+e))**3,x)","a^{3} \left(\int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n}\, dx + \int 3 \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \sec{\left(e + f x \right)}\, dx + \int 3 \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \sec^{2}{\left(e + f x \right)}\, dx + \int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*(Integral((c*(d*sec(e + f*x))**p)**n, x) + Integral(3*(c*(d*sec(e + f*x))**p)**n*sec(e + f*x), x) + Integral(3*(c*(d*sec(e + f*x))**p)**n*sec(e + f*x)**2, x) + Integral((c*(d*sec(e + f*x))**p)**n*sec(e + f*x)**3, x))","F",0
232,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n*(a+a*sec(f*x+e))**2,x)","a^{2} \left(\int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n}\, dx + \int 2 \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \sec{\left(e + f x \right)}\, dx + \int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \sec^{2}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral((c*(d*sec(e + f*x))**p)**n, x) + Integral(2*(c*(d*sec(e + f*x))**p)**n*sec(e + f*x), x) + Integral((c*(d*sec(e + f*x))**p)**n*sec(e + f*x)**2, x))","F",0
233,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n*(a+a*sec(f*x+e)),x)","a \left(\int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n}\, dx + \int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \sec{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral((c*(d*sec(e + f*x))**p)**n, x) + Integral((c*(d*sec(e + f*x))**p)**n*sec(e + f*x), x))","F",0
234,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n/(a+a*sec(f*x+e)),x)","\frac{\int \frac{\left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"Integral((c*(d*sec(e + f*x))**p)**n/(sec(e + f*x) + 1), x)/a","F",0
235,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{\left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral((c*(d*sec(e + f*x))**p)**n/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x)/a**2","F",0
236,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n*(a+b*sec(f*x+e))**m,x)","\int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \left(a + b \sec{\left(e + f x \right)}\right)^{m}\, dx"," ",0,"Integral((c*(d*sec(e + f*x))**p)**n*(a + b*sec(e + f*x))**m, x)","F",0
237,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n*(a+b*sec(f*x+e))**3,x)","\int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \left(a + b \sec{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral((c*(d*sec(e + f*x))**p)**n*(a + b*sec(e + f*x))**3, x)","F",0
238,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n*(a+b*sec(f*x+e))**2,x)","\int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \left(a + b \sec{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((c*(d*sec(e + f*x))**p)**n*(a + b*sec(e + f*x))**2, x)","F",0
239,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n*(a+b*sec(f*x+e)),x)","\int \left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n} \left(a + b \sec{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((c*(d*sec(e + f*x))**p)**n*(a + b*sec(e + f*x)), x)","F",0
240,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n/(a+b*sec(f*x+e)),x)","\int \frac{\left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((c*(d*sec(e + f*x))**p)**n/(a + b*sec(e + f*x)), x)","F",0
241,0,0,0,0.000000," ","integrate((c*(d*sec(f*x+e))**p)**n/(a+b*sec(f*x+e))**2,x)","\int \frac{\left(c \left(d \sec{\left(e + f x \right)}\right)^{p}\right)^{n}}{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c*(d*sec(e + f*x))**p)**n/(a + b*sec(e + f*x))**2, x)","F",0
