1,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c-c*sec(f*x+e))**4,x)","a c^{4} \left(\int \sec{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{2}{\left(e + f x \right)}\right)\, dx + \int 2 \sec^{3}{\left(e + f x \right)}\, dx + \int 2 \sec^{4}{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{5}{\left(e + f x \right)}\right)\, dx + \int \sec^{6}{\left(e + f x \right)}\, dx\right)"," ",0,"a*c**4*(Integral(sec(e + f*x), x) + Integral(-3*sec(e + f*x)**2, x) + Integral(2*sec(e + f*x)**3, x) + Integral(2*sec(e + f*x)**4, x) + Integral(-3*sec(e + f*x)**5, x) + Integral(sec(e + f*x)**6, x))","F",0
2,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c-c*sec(f*x+e))**3,x)","- a c^{3} \left(\int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int 2 \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- 2 \sec^{4}{\left(e + f x \right)}\right)\, dx + \int \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"-a*c**3*(Integral(-sec(e + f*x), x) + Integral(2*sec(e + f*x)**2, x) + Integral(-2*sec(e + f*x)**4, x) + Integral(sec(e + f*x)**5, x))","F",0
3,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c-c*sec(f*x+e))**2,x)","a c^{2} \left(\int \sec{\left(e + f x \right)}\, dx + \int \left(- \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \left(- \sec^{3}{\left(e + f x \right)}\right)\, dx + \int \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"a*c**2*(Integral(sec(e + f*x), x) + Integral(-sec(e + f*x)**2, x) + Integral(-sec(e + f*x)**3, x) + Integral(sec(e + f*x)**4, x))","F",0
4,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c-c*sec(f*x+e)),x)","- a c \left(\int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"-a*c*(Integral(-sec(e + f*x), x) + Integral(sec(e + f*x)**3, x))","F",0
5,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c-c*sec(f*x+e)),x)","- \frac{a \left(\int \frac{\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\right)}{c}"," ",0,"-a*(Integral(sec(e + f*x)/(sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**2/(sec(e + f*x) - 1), x))/c","F",0
6,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**2,x)","\frac{a \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 \frac{\sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx\right)}{c^{2}}"," ",0,"a*(Integral(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))/c**2","F",0
7,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**3,x)","- \frac{a \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 \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\right)}{c^{3}}"," ",0,"-a*(Integral(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))/c**3","F",0
8,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**4,x)","\frac{a \left(\int \frac{\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\right)}{c^{4}}"," ",0,"a*(Integral(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))/c**4","F",0
9,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**5,x)","- \frac{a \left(\int \frac{\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\right)}{c^{5}}"," ",0,"-a*(Integral(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))/c**5","F",0
10,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**5,x)","- a^{2} c^{5} \left(\int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int 3 \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- \sec^{3}{\left(e + f x \right)}\right)\, dx + \int \left(- 5 \sec^{4}{\left(e + f x \right)}\right)\, dx + \int 5 \sec^{5}{\left(e + f x \right)}\, dx + \int \sec^{6}{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{7}{\left(e + f x \right)}\right)\, dx + \int \sec^{8}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**2*c**5*(Integral(-sec(e + f*x), x) + Integral(3*sec(e + f*x)**2, x) + Integral(-sec(e + f*x)**3, x) + Integral(-5*sec(e + f*x)**4, x) + Integral(5*sec(e + f*x)**5, x) + Integral(sec(e + f*x)**6, x) + Integral(-3*sec(e + f*x)**7, x) + Integral(sec(e + f*x)**8, x))","F",0
11,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**4,x)","a^{2} c^{4} \left(\int \sec{\left(e + f x \right)}\, dx + \int \left(- 2 \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \left(- \sec^{3}{\left(e + f x \right)}\right)\, dx + \int 4 \sec^{4}{\left(e + f x \right)}\, dx + \int \left(- \sec^{5}{\left(e + f x \right)}\right)\, dx + \int \left(- 2 \sec^{6}{\left(e + f x \right)}\right)\, dx + \int \sec^{7}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*c**4*(Integral(sec(e + f*x), x) + Integral(-2*sec(e + f*x)**2, x) + Integral(-sec(e + f*x)**3, x) + Integral(4*sec(e + f*x)**4, x) + Integral(-sec(e + f*x)**5, x) + Integral(-2*sec(e + f*x)**6, x) + Integral(sec(e + f*x)**7, x))","F",0
12,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**3,x)","- a^{2} c^{3} \left(\int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int \sec^{2}{\left(e + f x \right)}\, dx + \int 2 \sec^{3}{\left(e + f x \right)}\, dx + \int \left(- 2 \sec^{4}{\left(e + f x \right)}\right)\, dx + \int \left(- \sec^{5}{\left(e + f x \right)}\right)\, dx + \int \sec^{6}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**2*c**3*(Integral(-sec(e + f*x), x) + Integral(sec(e + f*x)**2, x) + Integral(2*sec(e + f*x)**3, x) + Integral(-2*sec(e + f*x)**4, x) + Integral(-sec(e + f*x)**5, x) + Integral(sec(e + f*x)**6, x))","F",0
13,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**2,x)","a^{2} c^{2} \left(\int \sec{\left(e + f x \right)}\, dx + \int \left(- 2 \sec^{3}{\left(e + f x \right)}\right)\, dx + \int \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*c**2*(Integral(sec(e + f*x), x) + Integral(-2*sec(e + f*x)**3, x) + Integral(sec(e + f*x)**5, x))","F",0
14,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e)),x)","- a^{2} c \left(\int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int \left(- \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \sec^{3}{\left(e + f x \right)}\, dx + \int \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**2*c*(Integral(-sec(e + f*x), x) + Integral(-sec(e + f*x)**2, x) + Integral(sec(e + f*x)**3, x) + Integral(sec(e + f*x)**4, x))","F",0
15,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e)),x)","- \frac{a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{2 \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\right)}{c}"," ",0,"-a**2*(Integral(sec(e + f*x)/(sec(e + f*x) - 1), x) + Integral(2*sec(e + f*x)**2/(sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x) - 1), x))/c","F",0
16,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**2,x)","\frac{a^{2} \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 \frac{2 \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\right)}{c^{2}}"," ",0,"a**2*(Integral(sec(e + f*x)/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x) + Integral(2*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))/c**2","F",0
17,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**3,x)","- \frac{a^{2} \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 \frac{2 \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\right)}{c^{3}}"," ",0,"-a**2*(Integral(sec(e + f*x)/(sec(e + f*x)**3 - 3*sec(e + f*x)**2 + 3*sec(e + f*x) - 1), x) + Integral(2*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))/c**3","F",0
18,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**4,x)","\frac{a^{2} \left(\int \frac{\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{2 \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\right)}{c^{4}}"," ",0,"a**2*(Integral(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(2*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))/c**4","F",0
19,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**5,x)","- \frac{a^{2} \left(\int \frac{\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{2 \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\right)}{c^{5}}"," ",0,"-a**2*(Integral(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(2*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))/c**5","F",0
20,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**6,x)","\frac{a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{\sec^{6}{\left(e + f x \right)} - 6 \sec^{5}{\left(e + f x \right)} + 15 \sec^{4}{\left(e + f x \right)} - 20 \sec^{3}{\left(e + f x \right)} + 15 \sec^{2}{\left(e + f x \right)} - 6 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{\sec^{6}{\left(e + f x \right)} - 6 \sec^{5}{\left(e + f x \right)} + 15 \sec^{4}{\left(e + f x \right)} - 20 \sec^{3}{\left(e + f x \right)} + 15 \sec^{2}{\left(e + f x \right)} - 6 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec^{6}{\left(e + f x \right)} - 6 \sec^{5}{\left(e + f x \right)} + 15 \sec^{4}{\left(e + f x \right)} - 20 \sec^{3}{\left(e + f x \right)} + 15 \sec^{2}{\left(e + f x \right)} - 6 \sec{\left(e + f x \right)} + 1}\, dx\right)}{c^{6}}"," ",0,"a**2*(Integral(sec(e + f*x)/(sec(e + f*x)**6 - 6*sec(e + f*x)**5 + 15*sec(e + f*x)**4 - 20*sec(e + f*x)**3 + 15*sec(e + f*x)**2 - 6*sec(e + f*x) + 1), x) + Integral(2*sec(e + f*x)**2/(sec(e + f*x)**6 - 6*sec(e + f*x)**5 + 15*sec(e + f*x)**4 - 20*sec(e + f*x)**3 + 15*sec(e + f*x)**2 - 6*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x)**6 - 6*sec(e + f*x)**5 + 15*sec(e + f*x)**4 - 20*sec(e + f*x)**3 + 15*sec(e + f*x)**2 - 6*sec(e + f*x) + 1), x))/c**6","F",0
21,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**6,x)","a^{3} c^{6} \left(\int \sec{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{2}{\left(e + f x \right)}\right)\, dx + \int 8 \sec^{4}{\left(e + f x \right)}\, dx + \int \left(- 6 \sec^{5}{\left(e + f x \right)}\right)\, dx + \int \left(- 6 \sec^{6}{\left(e + f x \right)}\right)\, dx + \int 8 \sec^{7}{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{9}{\left(e + f x \right)}\right)\, dx + \int \sec^{10}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*c**6*(Integral(sec(e + f*x), x) + Integral(-3*sec(e + f*x)**2, x) + Integral(8*sec(e + f*x)**4, x) + Integral(-6*sec(e + f*x)**5, x) + Integral(-6*sec(e + f*x)**6, x) + Integral(8*sec(e + f*x)**7, x) + Integral(-3*sec(e + f*x)**9, x) + Integral(sec(e + f*x)**10, x))","F",0
22,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**5,x)","- a^{3} c^{5} \left(\int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int 2 \sec^{2}{\left(e + f x \right)}\, dx + \int 2 \sec^{3}{\left(e + f x \right)}\, dx + \int \left(- 6 \sec^{4}{\left(e + f x \right)}\right)\, dx + \int 6 \sec^{6}{\left(e + f x \right)}\, dx + \int \left(- 2 \sec^{7}{\left(e + f x \right)}\right)\, dx + \int \left(- 2 \sec^{8}{\left(e + f x \right)}\right)\, dx + \int \sec^{9}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**3*c**5*(Integral(-sec(e + f*x), x) + Integral(2*sec(e + f*x)**2, x) + Integral(2*sec(e + f*x)**3, x) + Integral(-6*sec(e + f*x)**4, x) + Integral(6*sec(e + f*x)**6, x) + Integral(-2*sec(e + f*x)**7, x) + Integral(-2*sec(e + f*x)**8, x) + Integral(sec(e + f*x)**9, x))","F",0
23,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**4,x)","a^{3} c^{4} \left(\int \sec{\left(e + f x \right)}\, dx + \int \left(- \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \left(- 3 \sec^{3}{\left(e + f x \right)}\right)\, dx + \int 3 \sec^{4}{\left(e + f x \right)}\, dx + \int 3 \sec^{5}{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{6}{\left(e + f x \right)}\right)\, dx + \int \left(- \sec^{7}{\left(e + f x \right)}\right)\, dx + \int \sec^{8}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*c**4*(Integral(sec(e + f*x), x) + Integral(-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(-3*sec(e + f*x)**6, x) + Integral(-sec(e + f*x)**7, x) + Integral(sec(e + f*x)**8, x))","F",0
24,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**3,x)","- a^{3} c^{3} \left(\int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int 3 \sec^{3}{\left(e + f x \right)}\, dx + \int \left(- 3 \sec^{5}{\left(e + f x \right)}\right)\, dx + \int \sec^{7}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**3*c**3*(Integral(-sec(e + f*x), x) + Integral(3*sec(e + f*x)**3, x) + Integral(-3*sec(e + f*x)**5, x) + Integral(sec(e + f*x)**7, x))","F",0
25,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**2,x)","a^{3} c^{2} \left(\int \sec{\left(e + f x \right)}\, dx + \int \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- 2 \sec^{3}{\left(e + f x \right)}\right)\, dx + \int \left(- 2 \sec^{4}{\left(e + f x \right)}\right)\, dx + \int \sec^{5}{\left(e + f x \right)}\, dx + \int \sec^{6}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*c**2*(Integral(sec(e + f*x), x) + Integral(sec(e + f*x)**2, x) + Integral(-2*sec(e + f*x)**3, x) + Integral(-2*sec(e + f*x)**4, x) + Integral(sec(e + f*x)**5, x) + Integral(sec(e + f*x)**6, x))","F",0
26,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e)),x)","- a^{3} c \left(\int \left(- \sec{\left(e + f x \right)}\right)\, dx + \int \left(- 2 \sec^{2}{\left(e + f x \right)}\right)\, dx + \int 2 \sec^{4}{\left(e + f x \right)}\, dx + \int \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**3*c*(Integral(-sec(e + f*x), x) + Integral(-2*sec(e + f*x)**2, x) + Integral(2*sec(e + f*x)**4, x) + Integral(sec(e + f*x)**5, x))","F",0
27,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e)),x)","- \frac{a^{3} \left(\int \frac{\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{3 \sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx\right)}{c}"," ",0,"-a**3*(Integral(sec(e + f*x)/(sec(e + f*x) - 1), x) + Integral(3*sec(e + f*x)**2/(sec(e + f*x) - 1), x) + Integral(3*sec(e + f*x)**3/(sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**4/(sec(e + f*x) - 1), x))/c","F",0
28,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**2,x)","\frac{a^{3} \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 \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{3 \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{\sec^{4}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} - 2 \sec{\left(e + f x \right)} + 1}\, dx\right)}{c^{2}}"," ",0,"a**3*(Integral(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(3*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))/c**2","F",0
29,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**3,x)","- \frac{a^{3} \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 \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{3 \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{\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\right)}{c^{3}}"," ",0,"-a**3*(Integral(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(3*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))/c**3","F",0
30,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**4,x)","\frac{a^{3} \left(\int \frac{\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{3 \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{\sec^{4}{\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\right)}{c^{4}}"," ",0,"a**3*(Integral(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(3*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(sec(e + f*x)**4/(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
31,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**5,x)","- \frac{a^{3} \left(\int \frac{\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{3 \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{\sec^{4}{\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\right)}{c^{5}}"," ",0,"-a**3*(Integral(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(3*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(sec(e + f*x)**4/(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
32,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**6,x)","\frac{a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{\sec^{6}{\left(e + f x \right)} - 6 \sec^{5}{\left(e + f x \right)} + 15 \sec^{4}{\left(e + f x \right)} - 20 \sec^{3}{\left(e + f x \right)} + 15 \sec^{2}{\left(e + f x \right)} - 6 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec^{6}{\left(e + f x \right)} - 6 \sec^{5}{\left(e + f x \right)} + 15 \sec^{4}{\left(e + f x \right)} - 20 \sec^{3}{\left(e + f x \right)} + 15 \sec^{2}{\left(e + f x \right)} - 6 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{\sec^{6}{\left(e + f x \right)} - 6 \sec^{5}{\left(e + f x \right)} + 15 \sec^{4}{\left(e + f x \right)} - 20 \sec^{3}{\left(e + f x \right)} + 15 \sec^{2}{\left(e + f x \right)} - 6 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{\sec^{6}{\left(e + f x \right)} - 6 \sec^{5}{\left(e + f x \right)} + 15 \sec^{4}{\left(e + f x \right)} - 20 \sec^{3}{\left(e + f x \right)} + 15 \sec^{2}{\left(e + f x \right)} - 6 \sec{\left(e + f x \right)} + 1}\, dx\right)}{c^{6}}"," ",0,"a**3*(Integral(sec(e + f*x)/(sec(e + f*x)**6 - 6*sec(e + f*x)**5 + 15*sec(e + f*x)**4 - 20*sec(e + f*x)**3 + 15*sec(e + f*x)**2 - 6*sec(e + f*x) + 1), x) + Integral(3*sec(e + f*x)**2/(sec(e + f*x)**6 - 6*sec(e + f*x)**5 + 15*sec(e + f*x)**4 - 20*sec(e + f*x)**3 + 15*sec(e + f*x)**2 - 6*sec(e + f*x) + 1), x) + Integral(3*sec(e + f*x)**3/(sec(e + f*x)**6 - 6*sec(e + f*x)**5 + 15*sec(e + f*x)**4 - 20*sec(e + f*x)**3 + 15*sec(e + f*x)**2 - 6*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**4/(sec(e + f*x)**6 - 6*sec(e + f*x)**5 + 15*sec(e + f*x)**4 - 20*sec(e + f*x)**3 + 15*sec(e + f*x)**2 - 6*sec(e + f*x) + 1), x))/c**6","F",0
33,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**7,x)","- \frac{a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{\sec^{7}{\left(e + f x \right)} - 7 \sec^{6}{\left(e + f x \right)} + 21 \sec^{5}{\left(e + f x \right)} - 35 \sec^{4}{\left(e + f x \right)} + 35 \sec^{3}{\left(e + f x \right)} - 21 \sec^{2}{\left(e + f x \right)} + 7 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec^{7}{\left(e + f x \right)} - 7 \sec^{6}{\left(e + f x \right)} + 21 \sec^{5}{\left(e + f x \right)} - 35 \sec^{4}{\left(e + f x \right)} + 35 \sec^{3}{\left(e + f x \right)} - 21 \sec^{2}{\left(e + f x \right)} + 7 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{\sec^{7}{\left(e + f x \right)} - 7 \sec^{6}{\left(e + f x \right)} + 21 \sec^{5}{\left(e + f x \right)} - 35 \sec^{4}{\left(e + f x \right)} + 35 \sec^{3}{\left(e + f x \right)} - 21 \sec^{2}{\left(e + f x \right)} + 7 \sec{\left(e + f x \right)} - 1}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{\sec^{7}{\left(e + f x \right)} - 7 \sec^{6}{\left(e + f x \right)} + 21 \sec^{5}{\left(e + f x \right)} - 35 \sec^{4}{\left(e + f x \right)} + 35 \sec^{3}{\left(e + f x \right)} - 21 \sec^{2}{\left(e + f x \right)} + 7 \sec{\left(e + f x \right)} - 1}\, dx\right)}{c^{7}}"," ",0,"-a**3*(Integral(sec(e + f*x)/(sec(e + f*x)**7 - 7*sec(e + f*x)**6 + 21*sec(e + f*x)**5 - 35*sec(e + f*x)**4 + 35*sec(e + f*x)**3 - 21*sec(e + f*x)**2 + 7*sec(e + f*x) - 1), x) + Integral(3*sec(e + f*x)**2/(sec(e + f*x)**7 - 7*sec(e + f*x)**6 + 21*sec(e + f*x)**5 - 35*sec(e + f*x)**4 + 35*sec(e + f*x)**3 - 21*sec(e + f*x)**2 + 7*sec(e + f*x) - 1), x) + Integral(3*sec(e + f*x)**3/(sec(e + f*x)**7 - 7*sec(e + f*x)**6 + 21*sec(e + f*x)**5 - 35*sec(e + f*x)**4 + 35*sec(e + f*x)**3 - 21*sec(e + f*x)**2 + 7*sec(e + f*x) - 1), x) + Integral(sec(e + f*x)**4/(sec(e + f*x)**7 - 7*sec(e + f*x)**6 + 21*sec(e + f*x)**5 - 35*sec(e + f*x)**4 + 35*sec(e + f*x)**3 - 21*sec(e + f*x)**2 + 7*sec(e + f*x) - 1), x))/c**7","F",0
34,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**4/(a+a*sec(f*x+e)),x)","\frac{c^{4} \left(\int \frac{\sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{4 \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{6 \sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{4 \sec^{4}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{5}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx\right)}{a}"," ",0,"c**4*(Integral(sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(-4*sec(e + f*x)**2/(sec(e + f*x) + 1), x) + Integral(6*sec(e + f*x)**3/(sec(e + f*x) + 1), x) + Integral(-4*sec(e + f*x)**4/(sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**5/(sec(e + f*x) + 1), x))/a","F",0
35,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**3/(a+a*sec(f*x+e)),x)","- \frac{c^{3} \left(\int \left(- \frac{\sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{3 \sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx\right)}{a}"," ",0,"-c**3*(Integral(-sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(3*sec(e + f*x)**2/(sec(e + f*x) + 1), x) + Integral(-3*sec(e + f*x)**3/(sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**4/(sec(e + f*x) + 1), x))/a","F",0
36,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**2/(a+a*sec(f*x+e)),x)","\frac{c^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{2 \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx\right)}{a}"," ",0,"c**2*(Integral(sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(-2*sec(e + f*x)**2/(sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x) + 1), x))/a","F",0
37,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))/(a+a*sec(f*x+e)),x)","- \frac{c \left(\int \left(- \frac{\sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx\right)}{a}"," ",0,"-c*(Integral(-sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**2/(sec(e + f*x) + 1), x))/a","F",0
38,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{\sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} - 1}\, dx}{a c}"," ",0,"-Integral(sec(e + f*x)/(sec(e + f*x)**2 - 1), x)/(a*c)","F",0
39,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\sec^{3}{\left(e + f x \right)} - \sec^{2}{\left(e + f x \right)} - \sec{\left(e + f x \right)} + 1}\, dx}{a c^{2}}"," ",0,"Integral(sec(e + f*x)/(sec(e + f*x)**3 - sec(e + f*x)**2 - sec(e + f*x) + 1), x)/(a*c**2)","F",0
40,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**3,x)","- \frac{\int \frac{\sec{\left(e + f x \right)}}{\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 c^{3}}"," ",0,"-Integral(sec(e + f*x)/(sec(e + f*x)**4 - 2*sec(e + f*x)**3 + 2*sec(e + f*x) - 1), x)/(a*c**3)","F",0
41,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**4,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\sec^{5}{\left(e + f x \right)} - 3 \sec^{4}{\left(e + f x \right)} + 2 \sec^{3}{\left(e + f x \right)} + 2 \sec^{2}{\left(e + f x \right)} - 3 \sec{\left(e + f x \right)} + 1}\, dx}{a c^{4}}"," ",0,"Integral(sec(e + f*x)/(sec(e + f*x)**5 - 3*sec(e + f*x)**4 + 2*sec(e + f*x)**3 + 2*sec(e + f*x)**2 - 3*sec(e + f*x) + 1), x)/(a*c**4)","F",0
42,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**5/(a+a*sec(f*x+e))**2,x)","- \frac{c^{5} \left(\int \left(- \frac{\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{5 \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{10 \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{10 \sec^{4}{\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^{5}{\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^{6}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx\right)}{a^{2}}"," ",0,"-c**5*(Integral(-sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(5*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(10*sec(e + f*x)**4/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-5*sec(e + f*x)**5/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**6/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
43,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**4/(a+a*sec(f*x+e))**2,x)","\frac{c^{4} \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{4 \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{6 \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{4 \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\right)}{a^{2}}"," ",0,"c**4*(Integral(sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-4*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(6*sec(e + f*x)**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-4*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))/a**2","F",0
44,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**3/(a+a*sec(f*x+e))**2,x)","- \frac{c^{3} \left(\int \left(- \frac{\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{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 \left(- \frac{3 \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\right)}{a^{2}}"," ",0,"-c**3*(Integral(-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(-3*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))/a**2","F",0
45,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**2/(a+a*sec(f*x+e))**2,x)","\frac{c^{2} \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{2 \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\right)}{a^{2}}"," ",0,"c**2*(Integral(sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-2*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))/a**2","F",0
46,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**2,x)","- \frac{c \left(\int \left(- \frac{\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\right)}{a^{2}}"," ",0,"-c*(Integral(-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))/a**2","F",0
47,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(sec(e + f*x)**3 + sec(e + f*x)**2 - sec(e + f*x) - 1), x)/(a**2*c)","F",0
48,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\sec^{4}{\left(e + f x \right)} - 2 \sec^{2}{\left(e + f x \right)} + 1}\, dx}{a^{2} c^{2}}"," ",0,"Integral(sec(e + f*x)/(sec(e + f*x)**4 - 2*sec(e + f*x)**2 + 1), x)/(a**2*c**2)","F",0
49,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**3,x)","- \frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(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
50,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**4,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(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
51,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**5,x)","- \frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(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
52,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**6/(a+a*sec(f*x+e))**3,x)","\frac{c^{6} \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{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}\right)\, dx + \int \frac{15 \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{20 \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{15 \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{6 \sec^{6}{\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^{7}{\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\right)}{a^{3}}"," ",0,"c**6*(Integral(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(15*sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-20*sec(e + f*x)**4/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(15*sec(e + f*x)**5/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-6*sec(e + f*x)**6/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**7/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
53,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**5/(a+a*sec(f*x+e))**3,x)","- \frac{c^{5} \left(\int \left(- \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}\right)\, dx + \int \frac{5 \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{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}\right)\, dx + \int \frac{10 \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 \left(- \frac{5 \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}\right)\, dx + \int \frac{\sec^{6}{\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\right)}{a^{3}}"," ",0,"-c**5*(Integral(-sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(5*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(10*sec(e + f*x)**4/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-5*sec(e + f*x)**5/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**6/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
54,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**4/(a+a*sec(f*x+e))**3,x)","\frac{c^{4} \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{4 \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{6 \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{4 \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\right)}{a^{3}}"," ",0,"c**4*(Integral(sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-4*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(6*sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-4*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))/a**3","F",0
55,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**3/(a+a*sec(f*x+e))**3,x)","- \frac{c^{3} \left(\int \left(- \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}\right)\, 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 \left(- \frac{3 \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\right)}{a^{3}}"," ",0,"-c**3*(Integral(-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(-3*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))/a**3","F",0
56,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**2/(a+a*sec(f*x+e))**3,x)","\frac{c^{2} \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{2 \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\right)}{a^{3}}"," ",0,"c**2*(Integral(sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-2*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))/a**3","F",0
57,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**3,x)","- \frac{c \left(\int \left(- \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}\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\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(sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
58,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(sec(e + f*x)**4 + 2*sec(e + f*x)**3 - 2*sec(e + f*x) - 1), x)/(a**3*c)","F",0
59,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(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
60,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**3,x)","- \frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(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
61,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**4,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(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
62,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**5,x)","- \frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(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
63,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**6,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(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
64,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c-c*sec(f*x+e))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c-c*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c-c*sec(f*x+e))**(3/2),x)","a \left(\int c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}\, dx + \int \left(- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)}\right)\, dx\right)"," ",0,"a*(Integral(c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x), x) + Integral(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3, x))","F",0
67,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c-c*sec(f*x+e))**(1/2),x)","a \left(\int \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}\, dx + \int \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x), x) + Integral(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2, x))","F",0
68,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**(1/2),x)","a \left(\int \frac{\sec{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a*(Integral(sec(e + f*x)/sqrt(-c*sec(e + f*x) + c), x) + Integral(sec(e + f*x)**2/sqrt(-c*sec(e + f*x) + c), x))","F",0
69,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**(3/2),x)","a \left(\int \frac{\sec{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a*(Integral(sec(e + f*x)/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x) + Integral(sec(e + f*x)**2/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x))","F",0
70,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**(5/2),x)","a \left(\int \frac{\sec{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a*(Integral(sec(e + f*x)/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x) + Integral(sec(e + f*x)**2/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x))","F",0
71,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**(5/2),x)","a^{2} \left(\int c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}\, dx + \int \left(- 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)}\right)\, dx + \int c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x), x) + Integral(-2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3, x) + Integral(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**5, x))","F",0
73,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**(3/2),x)","a^{2} \left(\int c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}\, dx + \int c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)}\right)\, dx + \int \left(- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{4}{\left(e + f x \right)}\right)\, dx\right)"," ",0,"a**2*(Integral(c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x), x) + Integral(c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2, x) + Integral(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3, x) + Integral(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**4, x))","F",0
74,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e))**(1/2),x)","a^{2} \left(\int \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}\, dx + \int 2 \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)}\, dx + \int \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x), x) + Integral(2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2, x) + Integral(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3, x))","F",0
75,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**(1/2),x)","a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a**2*(Integral(sec(e + f*x)/sqrt(-c*sec(e + f*x) + c), x) + Integral(2*sec(e + f*x)**2/sqrt(-c*sec(e + f*x) + c), x) + Integral(sec(e + f*x)**3/sqrt(-c*sec(e + f*x) + c), x))","F",0
76,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**(3/2),x)","a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a**2*(Integral(sec(e + f*x)/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x) + Integral(2*sec(e + f*x)**2/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x) + Integral(sec(e + f*x)**3/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x))","F",0
77,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**(5/2),x)","a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a**2*(Integral(sec(e + f*x)/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x) + Integral(2*sec(e + f*x)**2/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x) + Integral(sec(e + f*x)**3/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x))","F",0
78,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**(7/2),x)","a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{- c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)} + 3 c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 3 c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{- c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)} + 3 c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 3 c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{- c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)} + 3 c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 3 c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{3} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a**2*(Integral(sec(e + f*x)/(-c**3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3 + 3*c**3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 3*c**3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**3*sqrt(-c*sec(e + f*x) + c)), x) + Integral(2*sec(e + f*x)**2/(-c**3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3 + 3*c**3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 3*c**3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**3*sqrt(-c*sec(e + f*x) + c)), x) + Integral(sec(e + f*x)**3/(-c**3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3 + 3*c**3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 3*c**3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**3*sqrt(-c*sec(e + f*x) + c)), x))","F",0
79,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**(3/2),x)","a^{3} \left(\int c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}\, dx + \int 2 c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)}\, dx + \int \left(- 2 c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{4}{\left(e + f x \right)}\right)\, dx + \int \left(- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{5}{\left(e + f x \right)}\right)\, dx\right)"," ",0,"a**3*(Integral(c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x), x) + Integral(2*c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2, x) + Integral(-2*c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**4, x) + Integral(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**5, x))","F",0
82,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e))**(1/2),x)","a^{3} \left(\int \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}\, dx + \int 3 \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)}\, dx + \int 3 \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)}\, dx + \int \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*(Integral(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x), x) + Integral(3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2, x) + Integral(3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3, x) + Integral(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**4, x))","F",0
83,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**(1/2),x)","a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a**3*(Integral(sec(e + f*x)/sqrt(-c*sec(e + f*x) + c), x) + Integral(3*sec(e + f*x)**2/sqrt(-c*sec(e + f*x) + c), x) + Integral(3*sec(e + f*x)**3/sqrt(-c*sec(e + f*x) + c), x) + Integral(sec(e + f*x)**4/sqrt(-c*sec(e + f*x) + c), x))","F",0
84,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**(3/2),x)","a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a**3*(Integral(sec(e + f*x)/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x) + Integral(3*sec(e + f*x)**2/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x) + Integral(3*sec(e + f*x)**3/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x) + Integral(sec(e + f*x)**4/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x))","F",0
85,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**(5/2),x)","a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx\right)"," ",0,"a**3*(Integral(sec(e + f*x)/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x) + Integral(3*sec(e + f*x)**2/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x) + Integral(3*sec(e + f*x)**3/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x) + Integral(sec(e + f*x)**4/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x))","F",0
86,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(7/2)/(a+a*sec(f*x+e)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(5/2)/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(-2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2/(sec(e + f*x) + 1), x) + Integral(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3/(sec(e + f*x) + 1), x))/a","F",0
88,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(3/2)/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \left(- \frac{c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\right)\, dx}{a}"," ",0,"(Integral(c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2/(sec(e + f*x) + 1), x))/a","F",0
89,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(1/2)/(a+a*sec(f*x+e)),x)","\frac{\int \frac{\sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"Integral(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)/(sec(e + f*x) + 1), x)/a","F",0
90,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**(1/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx}{a}"," ",0,"Integral(sec(e + f*x)/(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + sqrt(-c*sec(e + f*x) + c)), x)/a","F",0
91,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**(3/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx}{a}"," ",0,"Integral(sec(e + f*x)/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 + c*sqrt(-c*sec(e + f*x) + c)), x)/a","F",0
92,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c-c*sec(f*x+e))**(5/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)} - c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} - c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx}{a}"," ",0,"Integral(sec(e + f*x)/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3 - c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 - c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x)/a","F",0
93,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(7/2)/(a+a*sec(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(5/2)/(a+a*sec(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(3/2)/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{c \sqrt{- c \sec{\left(e + f x \right)} + c} \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{c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx}{a^{2}}"," ",0,"(Integral(c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
96,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(1/2)/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{\sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x)/a**2","F",0
97,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**(1/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} + 2 \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx}{a^{2}}"," ",0,"Integral(sec(e + f*x)/(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 + 2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + sqrt(-c*sec(e + f*x) + c)), x)/a**2","F",0
98,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**(3/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)} - c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx}{a^{2}}"," ",0,"Integral(sec(e + f*x)/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3 - c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 + c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x)/a**2","F",0
99,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c-c*sec(f*x+e))**(5/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{4}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx}{a^{2}}"," ",0,"Integral(sec(e + f*x)/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**4 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 + c**2*sqrt(-c*sec(e + f*x) + c)), x)/a**2","F",0
100,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(7/2)/(a+a*sec(f*x+e))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(5/2)/(a+a*sec(f*x+e))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(3/2)/(a+a*sec(f*x+e))**3,x)","\frac{\int \frac{c \sqrt{- c \sec{\left(e + f x \right)} + c} \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{c \sqrt{- c \sec{\left(e + f x \right)} + c} \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}{a^{3}}"," ",0,"(Integral(c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
103,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c-c*sec(f*x+e))**(1/2)/(a+a*sec(f*x+e))**3,x)","\frac{\int \frac{\sqrt{- c \sec{\left(e + f x \right)} + c} \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}{a^{3}}"," ",0,"Integral(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x)/a**3","F",0
104,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**(1/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)} + 3 \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} + 3 \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx}{a^{3}}"," ",0,"Integral(sec(e + f*x)/(sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3 + 3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 + 3*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + sqrt(-c*sec(e + f*x) + c)), x)/a**3","F",0
105,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**(3/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{- c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{4}{\left(e + f x \right)} - 2 c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)} + 2 c \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx}{a^{3}}"," ",0,"Integral(sec(e + f*x)/(-c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**4 - 2*c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3 + 2*c*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c*sqrt(-c*sec(e + f*x) + c)), x)/a**3","F",0
106,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c-c*sec(f*x+e))**(5/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{5}{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{4}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{3}{\left(e + f x \right)} - 2 c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec^{2}{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c} \sec{\left(e + f x \right)} + c^{2} \sqrt{- c \sec{\left(e + f x \right)} + c}}\, dx}{a^{3}}"," ",0,"Integral(sec(e + f*x)/(c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**5 + c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**4 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**3 - 2*c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x)**2 + c**2*sqrt(-c*sec(e + f*x) + c)*sec(e + f*x) + c**2*sqrt(-c*sec(e + f*x) + c)), x)/a**3","F",0
107,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
108,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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}} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*(-c*(sec(e + f*x) - 1))**(3/2)*sec(e + f*x), x)","F",0
109,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**(1/2)*(c-c*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)} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*sqrt(-c*(sec(e + f*x) - 1))*sec(e + f*x), x)","F",0
110,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \right)}}{\sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*sec(e + f*x)/sqrt(-c*(sec(e + f*x) - 1)), x)","F",0
111,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \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))*sec(e + f*x)/(-c*(sec(e + f*x) - 1))**(3/2), x)","F",0
112,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \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))*sec(e + f*x)/(-c*(sec(e + f*x) - 1))**(5/2), x)","F",0
113,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
114,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
115,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
116,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)*sqrt(-c*(sec(e + f*x) - 1))*sec(e + f*x), x)","F",0
117,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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}} \sec{\left(e + f x \right)}}{\sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**(3/2)*sec(e + f*x)/sqrt(-c*(sec(e + f*x) - 1)), x)","F",0
118,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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}} \sec{\left(e + f x \right)}}{\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)*sec(e + f*x)/(-c*(sec(e + f*x) - 1))**(3/2), x)","F",0
119,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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}} \sec{\left(e + f x \right)}}{\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)*sec(e + f*x)/(-c*(sec(e + f*x) - 1))**(5/2), x)","F",0
120,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
121,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
123,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
124,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
125,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
126,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
127,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
128,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
129,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
130,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
131,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
132,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
133,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
134,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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}} \sec{\left(e + f x \right)}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral((-c*(sec(e + f*x) - 1))**(3/2)*sec(e + f*x)/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
135,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \right)}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(sqrt(-c*(sec(e + f*x) - 1))*sec(e + f*x)/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
136,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(sqrt(a*(sec(e + f*x) + 1))*sqrt(-c*(sec(e + f*x) - 1))), x)","F",0
137,0,0,0,0.000000," ","integrate(sec(f*x+e)/(c-c*sec(f*x+e))**(3/2)/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(sqrt(a*(sec(e + f*x) + 1))*(-c*(sec(e + f*x) - 1))**(3/2)), x)","F",0
138,0,0,0,0.000000," ","integrate(sec(f*x+e)/(c-c*sec(f*x+e))**(5/2)/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/(sqrt(a*(sec(e + f*x) + 1))*(-c*(sec(e + f*x) - 1))**(5/2)), x)","F",0
139,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
140,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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}} \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*(sec(e + f*x) - 1))**(3/2)*sec(e + f*x)/(a*(sec(e + f*x) + 1))**(3/2), x)","F",0
141,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \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))*sec(e + f*x)/(a*(sec(e + f*x) + 1))**(3/2), x)","F",0
142,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/((a*(sec(e + f*x) + 1))**(3/2)*sqrt(-c*(sec(e + f*x) - 1))), x)","F",0
143,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))**(3/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/((a*(sec(e + f*x) + 1))**(3/2)*(-c*(sec(e + f*x) - 1))**(3/2)), x)","F",0
144,-1,0,0,0.000000," ","integrate(sec(f*x+e)/(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
145,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(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
146,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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}} \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*(sec(e + f*x) - 1))**(3/2)*sec(e + f*x)/(a*(sec(e + f*x) + 1))**(5/2), x)","F",0
147,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \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))*sec(e + f*x)/(a*(sec(e + f*x) + 1))**(5/2), x)","F",0
148,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\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(sec(e + f*x)/((a*(sec(e + f*x) + 1))**(5/2)*sqrt(-c*(sec(e + f*x) - 1))), x)","F",0
149,-1,0,0,0.000000," ","integrate(sec(f*x+e)/(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
150,-1,0,0,0.000000," ","integrate(sec(f*x+e)/(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
151,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**m*(-c*(sec(e + f*x) - 1))**n*sec(e + f*x), x)","F",0
152,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**2,x)","c^{2} \left(\int \left(a \sec{\left(e + f x \right)} + a\right)^{m} \sec{\left(e + f x \right)}\, dx + \int \left(- 2 \left(a \sec{\left(e + f x \right)} + a\right)^{m} \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \left(a \sec{\left(e + f x \right)} + a\right)^{m} \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"c**2*(Integral((a*sec(e + f*x) + a)**m*sec(e + f*x), x) + Integral(-2*(a*sec(e + f*x) + a)**m*sec(e + f*x)**2, x) + Integral((a*sec(e + f*x) + a)**m*sec(e + f*x)**3, x))","F",0
153,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e)),x)","- c \left(\int \left(- \left(a \sec{\left(e + f x \right)} + a\right)^{m} \sec{\left(e + f x \right)}\right)\, dx + \int \left(a \sec{\left(e + f x \right)} + a\right)^{m} \sec^{2}{\left(e + f x \right)}\, dx\right)"," ",0,"-c*(Integral(-(a*sec(e + f*x) + a)**m*sec(e + f*x), x) + Integral((a*sec(e + f*x) + a)**m*sec(e + f*x)**2, x))","F",0
154,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{\left(a \sec{\left(e + f x \right)} + a\right)^{m} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} - 1}\, dx}{c}"," ",0,"-Integral((a*sec(e + f*x) + a)**m*sec(e + f*x)/(sec(e + f*x) - 1), x)/c","F",0
155,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m/(c-c*sec(f*x+e))**2,x)","\frac{\int \frac{\left(a \sec{\left(e + f x \right)} + a\right)^{m} \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*sec(e + f*x) + a)**m*sec(e + f*x)/(sec(e + f*x)**2 - 2*sec(e + f*x) + 1), x)/c**2","F",0
156,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
157,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**(1/2),x)","\int \left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{m} \sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**m*sqrt(-c*(sec(e + f*x) - 1))*sec(e + f*x), x)","F",0
159,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m/(c-c*sec(f*x+e))**(1/2),x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{m} \sec{\left(e + f x \right)}}{\sqrt{- c \left(\sec{\left(e + f x \right)} - 1\right)}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**m*sec(e + f*x)/sqrt(-c*(sec(e + f*x) - 1)), x)","F",0
160,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m/(c-c*sec(f*x+e))**(3/2),x)","\int \frac{\left(a \left(\sec{\left(e + f x \right)} + 1\right)\right)^{m} \sec{\left(e + f x \right)}}{\left(- c \left(\sec{\left(e + f x \right)} - 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*(sec(e + f*x) + 1))**m*sec(e + f*x)/(-c*(sec(e + f*x) - 1))**(3/2), x)","F",0
161,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m/(c-c*sec(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**(-3-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**(-2-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
164,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**(-1-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m/((c-c*sec(f*x+e))**m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**(1-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,-1,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**m*(c-c*sec(f*x+e))**(2-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,0,0,0,0.000000," ","integrate(sec(f*x+e)**2*(a+a*sec(f*x+e))**3*(c-c*sec(f*x+e)),x)","- a^{3} c \left(\int \left(- \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \left(- 2 \sec^{3}{\left(e + f x \right)}\right)\, dx + \int 2 \sec^{5}{\left(e + f x \right)}\, dx + \int \sec^{6}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**3*c*(Integral(-sec(e + f*x)**2, x) + Integral(-2*sec(e + f*x)**3, x) + Integral(2*sec(e + f*x)**5, x) + Integral(sec(e + f*x)**6, x))","F",0
169,0,0,0,0.000000," ","integrate(sec(f*x+e)**2*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e)),x)","- a^{2} c \left(\int \left(- \sec^{2}{\left(e + f x \right)}\right)\, dx + \int \left(- \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**2*c*(Integral(-sec(e + f*x)**2, x) + Integral(-sec(e + f*x)**3, x) + Integral(sec(e + f*x)**4, x) + Integral(sec(e + f*x)**5, x))","F",0
170,1,51,0,2.303411," ","integrate(sec(f*x+e)**2*(a+a*sec(f*x+e))*(c-c*sec(f*x+e)),x)","\begin{cases} \frac{- a c \left(\frac{\tan^{3}{\left(e + f x \right)}}{3} + \tan{\left(e + f x \right)}\right) + a c \tan{\left(e + f x \right)}}{f} & \text{for}\: f \neq 0 \\x \left(a \sec{\left(e \right)} + a\right) \left(- c \sec{\left(e \right)} + c\right) \sec^{2}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a*c*(tan(e + f*x)**3/3 + tan(e + f*x)) + a*c*tan(e + f*x))/f, Ne(f, 0)), (x*(a*sec(e) + a)*(-c*sec(e) + c)*sec(e)**2, True))","A",0
171,0,0,0,0.000000," ","integrate(sec(f*x+e)**2*(c-c*sec(f*x+e))/(a+a*sec(f*x+e)),x)","- \frac{c \left(\int \left(- \frac{\sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx\right)}{a}"," ",0,"-c*(Integral(-sec(e + f*x)**2/(sec(e + f*x) + 1), x) + Integral(sec(e + f*x)**3/(sec(e + f*x) + 1), x))/a","F",0
172,0,0,0,0.000000," ","integrate(sec(f*x+e)**2*(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**2,x)","- \frac{c \left(\int \left(- \frac{\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\right)}{a^{2}}"," ",0,"-c*(Integral(-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))/a**2","F",0
173,0,0,0,0.000000," ","integrate(sec(f*x+e)**2*(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**3,x)","- \frac{c \left(\int \left(- \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}\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\right)}{a^{3}}"," ",0,"-c*(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(sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
174,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**p*(a+a*sec(f*x+e))**2*(c-c*sec(f*x+e)),x)","- a^{2} c \left(\int \left(- \left(g \sec{\left(e + f x \right)}\right)^{p}\right)\, dx + \int \left(- \left(g \sec{\left(e + f x \right)}\right)^{p} \sec{\left(e + f x \right)}\right)\, dx + \int \left(g \sec{\left(e + f x \right)}\right)^{p} \sec^{2}{\left(e + f x \right)}\, dx + \int \left(g \sec{\left(e + f x \right)}\right)^{p} \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"-a**2*c*(Integral(-(g*sec(e + f*x))**p, x) + Integral(-(g*sec(e + f*x))**p*sec(e + f*x), x) + Integral((g*sec(e + f*x))**p*sec(e + f*x)**2, x) + Integral((g*sec(e + f*x))**p*sec(e + f*x)**3, x))","F",0
175,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**p*(a+a*sec(f*x+e))*(c-c*sec(f*x+e)),x)","- a c \left(\int \left(- \left(g \sec{\left(e + f x \right)}\right)^{p}\right)\, dx + \int \left(g \sec{\left(e + f x \right)}\right)^{p} \sec^{2}{\left(e + f x \right)}\, dx\right)"," ",0,"-a*c*(Integral(-(g*sec(e + f*x))**p, x) + Integral((g*sec(e + f*x))**p*sec(e + f*x)**2, x))","F",0
176,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**p*(c-c*sec(f*x+e))/(a+a*sec(f*x+e)),x)","- \frac{c \left(\int \left(- \frac{\left(g \sec{\left(e + f x \right)}\right)^{p}}{\sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\left(g \sec{\left(e + f x \right)}\right)^{p} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx\right)}{a}"," ",0,"-c*(Integral(-(g*sec(e + f*x))**p/(sec(e + f*x) + 1), x) + Integral((g*sec(e + f*x))**p*sec(e + f*x)/(sec(e + f*x) + 1), x))/a","F",0
177,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**p*(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**2,x)","- \frac{c \left(\int \left(- \frac{\left(g \sec{\left(e + f x \right)}\right)^{p}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\right)\, dx + \int \frac{\left(g \sec{\left(e + f x \right)}\right)^{p} \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx\right)}{a^{2}}"," ",0,"-c*(Integral(-(g*sec(e + f*x))**p/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral((g*sec(e + f*x))**p*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
178,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)*(a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e)),x)","- \frac{\int \frac{\left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \sqrt{a \sec{\left(e + f x \right)} + a}}{\sec{\left(e + f x \right)} - 1}\, dx}{c}"," ",0,"-Integral((g*sec(e + f*x))**(3/2)*sqrt(a*sec(e + f*x) + a)/(sec(e + f*x) - 1), x)/c","F",0
179,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","- \frac{\int \frac{\sec^{2}{\left(e + f x \right)}}{\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(sec(e + f*x)**2/(sqrt(a*sec(e + f*x) + a)*sec(e + f*x) - sqrt(a*sec(e + f*x) + a)), x)/c","F",0
180,-1,0,0,0.000000," ","integrate(sec(f*x+e)**(5/2)/(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)/(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","- \frac{\int \frac{\left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{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}"," ",0,"-Integral((g*sec(e + f*x))**(3/2)/(sqrt(a*sec(e + f*x) + a)*sec(e + f*x) - sqrt(a*sec(e + f*x) + a)), x)/c","F",0
182,-1,0,0,0.000000," ","integrate((g*sec(f*x+e))**(5/2)/(c-c*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(a+a*sec(f*x+e))**(1/2)/(c-c*sec(f*x+e))**(1/2),x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\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(sec(e + f*x)**2/(sqrt(a*(sec(e + f*x) + 1))*sqrt(-c*(sec(e + f*x) - 1))), x)","F",0
184,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \right)}}{c - d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*sec(e + f*x)/(c - d*sec(e + f*x)), x)","F",0
185,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c+d*sec(f*x+e))**4,x)","a \left(\int c^{4} \sec{\left(e + f x \right)}\, dx + \int c^{4} \sec^{2}{\left(e + f x \right)}\, dx + \int d^{4} \sec^{5}{\left(e + f x \right)}\, dx + \int d^{4} \sec^{6}{\left(e + f x \right)}\, dx + \int 4 c d^{3} \sec^{4}{\left(e + f x \right)}\, dx + \int 4 c d^{3} \sec^{5}{\left(e + f x \right)}\, dx + \int 6 c^{2} d^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int 6 c^{2} d^{2} \sec^{4}{\left(e + f x \right)}\, dx + \int 4 c^{3} d \sec^{2}{\left(e + f x \right)}\, dx + \int 4 c^{3} d \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral(c**4*sec(e + f*x), x) + Integral(c**4*sec(e + f*x)**2, x) + Integral(d**4*sec(e + f*x)**5, x) + Integral(d**4*sec(e + f*x)**6, x) + Integral(4*c*d**3*sec(e + f*x)**4, x) + Integral(4*c*d**3*sec(e + f*x)**5, x) + Integral(6*c**2*d**2*sec(e + f*x)**3, x) + Integral(6*c**2*d**2*sec(e + f*x)**4, x) + Integral(4*c**3*d*sec(e + f*x)**2, x) + Integral(4*c**3*d*sec(e + f*x)**3, x))","F",0
186,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c+d*sec(f*x+e))**3,x)","a \left(\int c^{3} \sec{\left(e + f x \right)}\, dx + \int c^{3} \sec^{2}{\left(e + f x \right)}\, dx + \int d^{3} \sec^{4}{\left(e + f x \right)}\, dx + \int d^{3} \sec^{5}{\left(e + f x \right)}\, dx + \int 3 c d^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int 3 c d^{2} \sec^{4}{\left(e + f x \right)}\, dx + \int 3 c^{2} d \sec^{2}{\left(e + f x \right)}\, dx + \int 3 c^{2} d \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral(c**3*sec(e + f*x), x) + Integral(c**3*sec(e + f*x)**2, x) + Integral(d**3*sec(e + f*x)**4, x) + Integral(d**3*sec(e + f*x)**5, x) + Integral(3*c*d**2*sec(e + f*x)**3, x) + Integral(3*c*d**2*sec(e + f*x)**4, x) + Integral(3*c**2*d*sec(e + f*x)**2, x) + Integral(3*c**2*d*sec(e + f*x)**3, x))","F",0
187,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c+d*sec(f*x+e))**2,x)","a \left(\int c^{2} \sec{\left(e + f x \right)}\, dx + \int c^{2} \sec^{2}{\left(e + f x \right)}\, dx + \int d^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int d^{2} \sec^{4}{\left(e + f x \right)}\, dx + \int 2 c d \sec^{2}{\left(e + f x \right)}\, dx + \int 2 c d \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral(c**2*sec(e + f*x), x) + Integral(c**2*sec(e + f*x)**2, x) + Integral(d**2*sec(e + f*x)**3, x) + Integral(d**2*sec(e + f*x)**4, x) + Integral(2*c*d*sec(e + f*x)**2, x) + Integral(2*c*d*sec(e + f*x)**3, x))","F",0
188,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))*(c+d*sec(f*x+e)),x)","a \left(\int c \sec{\left(e + f x \right)}\, dx + \int c \sec^{2}{\left(e + f x \right)}\, dx + \int d \sec^{2}{\left(e + f x \right)}\, dx + \int d \sec^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral(c*sec(e + f*x), x) + Integral(c*sec(e + f*x)**2, x) + Integral(d*sec(e + f*x)**2, x) + Integral(d*sec(e + f*x)**3, x))","F",0
189,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c+d*sec(f*x+e)),x)","a \left(\int \frac{\sec{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx\right)"," ",0,"a*(Integral(sec(e + f*x)/(c + d*sec(e + f*x)), x) + Integral(sec(e + f*x)**2/(c + d*sec(e + f*x)), x))","F",0
190,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c+d*sec(f*x+e))**2,x)","a \left(\int \frac{\sec{\left(e + f x \right)}}{c^{2} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{c^{2} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx\right)"," ",0,"a*(Integral(sec(e + f*x)/(c**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**2), x) + Integral(sec(e + f*x)**2/(c**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**2), x))","F",0
191,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c+d*sec(f*x+e))**3,x)","a \left(\int \frac{\sec{\left(e + f x \right)}}{c^{3} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{c^{3} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx\right)"," ",0,"a*(Integral(sec(e + f*x)/(c**3 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**3), x) + Integral(sec(e + f*x)**2/(c**3 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**3), x))","F",0
192,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c+d*sec(f*x+e))**4,x)","a \left(\int \frac{\sec{\left(e + f x \right)}}{c^{4} + 4 c^{3} d \sec{\left(e + f x \right)} + 6 c^{2} d^{2} \sec^{2}{\left(e + f x \right)} + 4 c d^{3} \sec^{3}{\left(e + f x \right)} + d^{4} \sec^{4}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{2}{\left(e + f x \right)}}{c^{4} + 4 c^{3} d \sec{\left(e + f x \right)} + 6 c^{2} d^{2} \sec^{2}{\left(e + f x \right)} + 4 c d^{3} \sec^{3}{\left(e + f x \right)} + d^{4} \sec^{4}{\left(e + f x \right)}}\, dx\right)"," ",0,"a*(Integral(sec(e + f*x)/(c**4 + 4*c**3*d*sec(e + f*x) + 6*c**2*d**2*sec(e + f*x)**2 + 4*c*d**3*sec(e + f*x)**3 + d**4*sec(e + f*x)**4), x) + Integral(sec(e + f*x)**2/(c**4 + 4*c**3*d*sec(e + f*x) + 6*c**2*d**2*sec(e + f*x)**2 + 4*c*d**3*sec(e + f*x)**3 + d**4*sec(e + f*x)**4), x))","F",0
193,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c+d*sec(f*x+e))**4,x)","a^{2} \left(\int c^{4} \sec{\left(e + f x \right)}\, dx + \int 2 c^{4} \sec^{2}{\left(e + f x \right)}\, dx + \int c^{4} \sec^{3}{\left(e + f x \right)}\, dx + \int d^{4} \sec^{5}{\left(e + f x \right)}\, dx + \int 2 d^{4} \sec^{6}{\left(e + f x \right)}\, dx + \int d^{4} \sec^{7}{\left(e + f x \right)}\, dx + \int 4 c d^{3} \sec^{4}{\left(e + f x \right)}\, dx + \int 8 c d^{3} \sec^{5}{\left(e + f x \right)}\, dx + \int 4 c d^{3} \sec^{6}{\left(e + f x \right)}\, dx + \int 6 c^{2} d^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int 12 c^{2} d^{2} \sec^{4}{\left(e + f x \right)}\, dx + \int 6 c^{2} d^{2} \sec^{5}{\left(e + f x \right)}\, dx + \int 4 c^{3} d \sec^{2}{\left(e + f x \right)}\, dx + \int 8 c^{3} d \sec^{3}{\left(e + f x \right)}\, dx + \int 4 c^{3} d \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral(c**4*sec(e + f*x), x) + Integral(2*c**4*sec(e + f*x)**2, x) + Integral(c**4*sec(e + f*x)**3, x) + Integral(d**4*sec(e + f*x)**5, x) + Integral(2*d**4*sec(e + f*x)**6, x) + Integral(d**4*sec(e + f*x)**7, x) + Integral(4*c*d**3*sec(e + f*x)**4, x) + Integral(8*c*d**3*sec(e + f*x)**5, x) + Integral(4*c*d**3*sec(e + f*x)**6, x) + Integral(6*c**2*d**2*sec(e + f*x)**3, x) + Integral(12*c**2*d**2*sec(e + f*x)**4, x) + Integral(6*c**2*d**2*sec(e + f*x)**5, x) + Integral(4*c**3*d*sec(e + f*x)**2, x) + Integral(8*c**3*d*sec(e + f*x)**3, x) + Integral(4*c**3*d*sec(e + f*x)**4, x))","F",0
194,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c+d*sec(f*x+e))**3,x)","a^{2} \left(\int c^{3} \sec{\left(e + f x \right)}\, dx + \int 2 c^{3} \sec^{2}{\left(e + f x \right)}\, dx + \int c^{3} \sec^{3}{\left(e + f x \right)}\, dx + \int d^{3} \sec^{4}{\left(e + f x \right)}\, dx + \int 2 d^{3} \sec^{5}{\left(e + f x \right)}\, dx + \int d^{3} \sec^{6}{\left(e + f x \right)}\, dx + \int 3 c d^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int 6 c d^{2} \sec^{4}{\left(e + f x \right)}\, dx + \int 3 c d^{2} \sec^{5}{\left(e + f x \right)}\, dx + \int 3 c^{2} d \sec^{2}{\left(e + f x \right)}\, dx + \int 6 c^{2} d \sec^{3}{\left(e + f x \right)}\, dx + \int 3 c^{2} d \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral(c**3*sec(e + f*x), x) + Integral(2*c**3*sec(e + f*x)**2, x) + Integral(c**3*sec(e + f*x)**3, x) + Integral(d**3*sec(e + f*x)**4, x) + Integral(2*d**3*sec(e + f*x)**5, x) + Integral(d**3*sec(e + f*x)**6, x) + Integral(3*c*d**2*sec(e + f*x)**3, x) + Integral(6*c*d**2*sec(e + f*x)**4, x) + Integral(3*c*d**2*sec(e + f*x)**5, x) + Integral(3*c**2*d*sec(e + f*x)**2, x) + Integral(6*c**2*d*sec(e + f*x)**3, x) + Integral(3*c**2*d*sec(e + f*x)**4, x))","F",0
195,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c+d*sec(f*x+e))**2,x)","a^{2} \left(\int c^{2} \sec{\left(e + f x \right)}\, dx + \int 2 c^{2} \sec^{2}{\left(e + f x \right)}\, dx + \int c^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int d^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int 2 d^{2} \sec^{4}{\left(e + f x \right)}\, dx + \int d^{2} \sec^{5}{\left(e + f x \right)}\, dx + \int 2 c d \sec^{2}{\left(e + f x \right)}\, dx + \int 4 c d \sec^{3}{\left(e + f x \right)}\, dx + \int 2 c d \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral(c**2*sec(e + f*x), x) + Integral(2*c**2*sec(e + f*x)**2, x) + Integral(c**2*sec(e + f*x)**3, x) + Integral(d**2*sec(e + f*x)**3, x) + Integral(2*d**2*sec(e + f*x)**4, x) + Integral(d**2*sec(e + f*x)**5, x) + Integral(2*c*d*sec(e + f*x)**2, x) + Integral(4*c*d*sec(e + f*x)**3, x) + Integral(2*c*d*sec(e + f*x)**4, x))","F",0
196,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2*(c+d*sec(f*x+e)),x)","a^{2} \left(\int c \sec{\left(e + f x \right)}\, dx + \int 2 c \sec^{2}{\left(e + f x \right)}\, dx + \int c \sec^{3}{\left(e + f x \right)}\, dx + \int d \sec^{2}{\left(e + f x \right)}\, dx + \int 2 d \sec^{3}{\left(e + f x \right)}\, dx + \int d \sec^{4}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral(c*sec(e + f*x), x) + Integral(2*c*sec(e + f*x)**2, x) + Integral(c*sec(e + f*x)**3, x) + Integral(d*sec(e + f*x)**2, x) + Integral(2*d*sec(e + f*x)**3, x) + Integral(d*sec(e + f*x)**4, x))","F",0
197,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c+d*sec(f*x+e)),x)","a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx\right)"," ",0,"a**2*(Integral(sec(e + f*x)/(c + d*sec(e + f*x)), x) + Integral(2*sec(e + f*x)**2/(c + d*sec(e + f*x)), x) + Integral(sec(e + f*x)**3/(c + d*sec(e + f*x)), x))","F",0
198,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c+d*sec(f*x+e))**2,x)","a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{2} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{c^{2} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{c^{2} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx\right)"," ",0,"a**2*(Integral(sec(e + f*x)/(c**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**2), x) + Integral(2*sec(e + f*x)**2/(c**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**2), x) + Integral(sec(e + f*x)**3/(c**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**2), x))","F",0
199,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c+d*sec(f*x+e))**3,x)","a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{3} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{c^{3} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{c^{3} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx\right)"," ",0,"a**2*(Integral(sec(e + f*x)/(c**3 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**3), x) + Integral(2*sec(e + f*x)**2/(c**3 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**3), x) + Integral(sec(e + f*x)**3/(c**3 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**3), x))","F",0
200,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c+d*sec(f*x+e))**4,x)","a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{4} + 4 c^{3} d \sec{\left(e + f x \right)} + 6 c^{2} d^{2} \sec^{2}{\left(e + f x \right)} + 4 c d^{3} \sec^{3}{\left(e + f x \right)} + d^{4} \sec^{4}{\left(e + f x \right)}}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{c^{4} + 4 c^{3} d \sec{\left(e + f x \right)} + 6 c^{2} d^{2} \sec^{2}{\left(e + f x \right)} + 4 c d^{3} \sec^{3}{\left(e + f x \right)} + d^{4} \sec^{4}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{c^{4} + 4 c^{3} d \sec{\left(e + f x \right)} + 6 c^{2} d^{2} \sec^{2}{\left(e + f x \right)} + 4 c d^{3} \sec^{3}{\left(e + f x \right)} + d^{4} \sec^{4}{\left(e + f x \right)}}\, dx\right)"," ",0,"a**2*(Integral(sec(e + f*x)/(c**4 + 4*c**3*d*sec(e + f*x) + 6*c**2*d**2*sec(e + f*x)**2 + 4*c*d**3*sec(e + f*x)**3 + d**4*sec(e + f*x)**4), x) + Integral(2*sec(e + f*x)**2/(c**4 + 4*c**3*d*sec(e + f*x) + 6*c**2*d**2*sec(e + f*x)**2 + 4*c*d**3*sec(e + f*x)**3 + d**4*sec(e + f*x)**4), x) + Integral(sec(e + f*x)**3/(c**4 + 4*c**3*d*sec(e + f*x) + 6*c**2*d**2*sec(e + f*x)**2 + 4*c*d**3*sec(e + f*x)**3 + d**4*sec(e + f*x)**4), x))","F",0
201,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**2/(c+d*sec(f*x+e))**5,x)","a^{2} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{5} + 5 c^{4} d \sec{\left(e + f x \right)} + 10 c^{3} d^{2} \sec^{2}{\left(e + f x \right)} + 10 c^{2} d^{3} \sec^{3}{\left(e + f x \right)} + 5 c d^{4} \sec^{4}{\left(e + f x \right)} + d^{5} \sec^{5}{\left(e + f x \right)}}\, dx + \int \frac{2 \sec^{2}{\left(e + f x \right)}}{c^{5} + 5 c^{4} d \sec{\left(e + f x \right)} + 10 c^{3} d^{2} \sec^{2}{\left(e + f x \right)} + 10 c^{2} d^{3} \sec^{3}{\left(e + f x \right)} + 5 c d^{4} \sec^{4}{\left(e + f x \right)} + d^{5} \sec^{5}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{3}{\left(e + f x \right)}}{c^{5} + 5 c^{4} d \sec{\left(e + f x \right)} + 10 c^{3} d^{2} \sec^{2}{\left(e + f x \right)} + 10 c^{2} d^{3} \sec^{3}{\left(e + f x \right)} + 5 c d^{4} \sec^{4}{\left(e + f x \right)} + d^{5} \sec^{5}{\left(e + f x \right)}}\, dx\right)"," ",0,"a**2*(Integral(sec(e + f*x)/(c**5 + 5*c**4*d*sec(e + f*x) + 10*c**3*d**2*sec(e + f*x)**2 + 10*c**2*d**3*sec(e + f*x)**3 + 5*c*d**4*sec(e + f*x)**4 + d**5*sec(e + f*x)**5), x) + Integral(2*sec(e + f*x)**2/(c**5 + 5*c**4*d*sec(e + f*x) + 10*c**3*d**2*sec(e + f*x)**2 + 10*c**2*d**3*sec(e + f*x)**3 + 5*c*d**4*sec(e + f*x)**4 + d**5*sec(e + f*x)**5), x) + Integral(sec(e + f*x)**3/(c**5 + 5*c**4*d*sec(e + f*x) + 10*c**3*d**2*sec(e + f*x)**2 + 10*c**2*d**3*sec(e + f*x)**3 + 5*c*d**4*sec(e + f*x)**4 + d**5*sec(e + f*x)**5), x))","F",0
202,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c+d*sec(f*x+e))**3,x)","a^{3} \left(\int c^{3} \sec{\left(e + f x \right)}\, dx + \int 3 c^{3} \sec^{2}{\left(e + f x \right)}\, dx + \int 3 c^{3} \sec^{3}{\left(e + f x \right)}\, dx + \int c^{3} \sec^{4}{\left(e + f x \right)}\, dx + \int d^{3} \sec^{4}{\left(e + f x \right)}\, dx + \int 3 d^{3} \sec^{5}{\left(e + f x \right)}\, dx + \int 3 d^{3} \sec^{6}{\left(e + f x \right)}\, dx + \int d^{3} \sec^{7}{\left(e + f x \right)}\, dx + \int 3 c d^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int 9 c d^{2} \sec^{4}{\left(e + f x \right)}\, dx + \int 9 c d^{2} \sec^{5}{\left(e + f x \right)}\, dx + \int 3 c d^{2} \sec^{6}{\left(e + f x \right)}\, dx + \int 3 c^{2} d \sec^{2}{\left(e + f x \right)}\, dx + \int 9 c^{2} d \sec^{3}{\left(e + f x \right)}\, dx + \int 9 c^{2} d \sec^{4}{\left(e + f x \right)}\, dx + \int 3 c^{2} d \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*(Integral(c**3*sec(e + f*x), x) + Integral(3*c**3*sec(e + f*x)**2, x) + Integral(3*c**3*sec(e + f*x)**3, x) + Integral(c**3*sec(e + f*x)**4, x) + Integral(d**3*sec(e + f*x)**4, x) + Integral(3*d**3*sec(e + f*x)**5, x) + Integral(3*d**3*sec(e + f*x)**6, x) + Integral(d**3*sec(e + f*x)**7, x) + Integral(3*c*d**2*sec(e + f*x)**3, x) + Integral(9*c*d**2*sec(e + f*x)**4, x) + Integral(9*c*d**2*sec(e + f*x)**5, x) + Integral(3*c*d**2*sec(e + f*x)**6, x) + Integral(3*c**2*d*sec(e + f*x)**2, x) + Integral(9*c**2*d*sec(e + f*x)**3, x) + Integral(9*c**2*d*sec(e + f*x)**4, x) + Integral(3*c**2*d*sec(e + f*x)**5, x))","F",0
203,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c+d*sec(f*x+e))**2,x)","a^{3} \left(\int c^{2} \sec{\left(e + f x \right)}\, dx + \int 3 c^{2} \sec^{2}{\left(e + f x \right)}\, dx + \int 3 c^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int c^{2} \sec^{4}{\left(e + f x \right)}\, dx + \int d^{2} \sec^{3}{\left(e + f x \right)}\, dx + \int 3 d^{2} \sec^{4}{\left(e + f x \right)}\, dx + \int 3 d^{2} \sec^{5}{\left(e + f x \right)}\, dx + \int d^{2} \sec^{6}{\left(e + f x \right)}\, dx + \int 2 c d \sec^{2}{\left(e + f x \right)}\, dx + \int 6 c d \sec^{3}{\left(e + f x \right)}\, dx + \int 6 c d \sec^{4}{\left(e + f x \right)}\, dx + \int 2 c d \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*(Integral(c**2*sec(e + f*x), x) + Integral(3*c**2*sec(e + f*x)**2, x) + Integral(3*c**2*sec(e + f*x)**3, x) + Integral(c**2*sec(e + f*x)**4, x) + Integral(d**2*sec(e + f*x)**3, x) + Integral(3*d**2*sec(e + f*x)**4, x) + Integral(3*d**2*sec(e + f*x)**5, x) + Integral(d**2*sec(e + f*x)**6, x) + Integral(2*c*d*sec(e + f*x)**2, x) + Integral(6*c*d*sec(e + f*x)**3, x) + Integral(6*c*d*sec(e + f*x)**4, x) + Integral(2*c*d*sec(e + f*x)**5, x))","F",0
204,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3*(c+d*sec(f*x+e)),x)","a^{3} \left(\int c \sec{\left(e + f x \right)}\, dx + \int 3 c \sec^{2}{\left(e + f x \right)}\, dx + \int 3 c \sec^{3}{\left(e + f x \right)}\, dx + \int c \sec^{4}{\left(e + f x \right)}\, dx + \int d \sec^{2}{\left(e + f x \right)}\, dx + \int 3 d \sec^{3}{\left(e + f x \right)}\, dx + \int 3 d \sec^{4}{\left(e + f x \right)}\, dx + \int d \sec^{5}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*(Integral(c*sec(e + f*x), x) + Integral(3*c*sec(e + f*x)**2, x) + Integral(3*c*sec(e + f*x)**3, x) + Integral(c*sec(e + f*x)**4, x) + Integral(d*sec(e + f*x)**2, x) + Integral(3*d*sec(e + f*x)**3, x) + Integral(3*d*sec(e + f*x)**4, x) + Integral(d*sec(e + f*x)**5, x))","F",0
205,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c+d*sec(f*x+e)),x)","a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx\right)"," ",0,"a**3*(Integral(sec(e + f*x)/(c + d*sec(e + f*x)), x) + Integral(3*sec(e + f*x)**2/(c + d*sec(e + f*x)), x) + Integral(3*sec(e + f*x)**3/(c + d*sec(e + f*x)), x) + Integral(sec(e + f*x)**4/(c + d*sec(e + f*x)), x))","F",0
206,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c+d*sec(f*x+e))**2,x)","a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{2} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{c^{2} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{c^{2} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{c^{2} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx\right)"," ",0,"a**3*(Integral(sec(e + f*x)/(c**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**2), x) + Integral(3*sec(e + f*x)**2/(c**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**2), x) + Integral(3*sec(e + f*x)**3/(c**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**2), x) + Integral(sec(e + f*x)**4/(c**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**2), x))","F",0
207,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c+d*sec(f*x+e))**3,x)","a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{3} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{c^{3} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{c^{3} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{c^{3} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx\right)"," ",0,"a**3*(Integral(sec(e + f*x)/(c**3 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**3), x) + Integral(3*sec(e + f*x)**2/(c**3 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**3), x) + Integral(3*sec(e + f*x)**3/(c**3 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**3), x) + Integral(sec(e + f*x)**4/(c**3 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**3), x))","F",0
208,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c+d*sec(f*x+e))**4,x)","a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{4} + 4 c^{3} d \sec{\left(e + f x \right)} + 6 c^{2} d^{2} \sec^{2}{\left(e + f x \right)} + 4 c d^{3} \sec^{3}{\left(e + f x \right)} + d^{4} \sec^{4}{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{c^{4} + 4 c^{3} d \sec{\left(e + f x \right)} + 6 c^{2} d^{2} \sec^{2}{\left(e + f x \right)} + 4 c d^{3} \sec^{3}{\left(e + f x \right)} + d^{4} \sec^{4}{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{c^{4} + 4 c^{3} d \sec{\left(e + f x \right)} + 6 c^{2} d^{2} \sec^{2}{\left(e + f x \right)} + 4 c d^{3} \sec^{3}{\left(e + f x \right)} + d^{4} \sec^{4}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{c^{4} + 4 c^{3} d \sec{\left(e + f x \right)} + 6 c^{2} d^{2} \sec^{2}{\left(e + f x \right)} + 4 c d^{3} \sec^{3}{\left(e + f x \right)} + d^{4} \sec^{4}{\left(e + f x \right)}}\, dx\right)"," ",0,"a**3*(Integral(sec(e + f*x)/(c**4 + 4*c**3*d*sec(e + f*x) + 6*c**2*d**2*sec(e + f*x)**2 + 4*c*d**3*sec(e + f*x)**3 + d**4*sec(e + f*x)**4), x) + Integral(3*sec(e + f*x)**2/(c**4 + 4*c**3*d*sec(e + f*x) + 6*c**2*d**2*sec(e + f*x)**2 + 4*c*d**3*sec(e + f*x)**3 + d**4*sec(e + f*x)**4), x) + Integral(3*sec(e + f*x)**3/(c**4 + 4*c**3*d*sec(e + f*x) + 6*c**2*d**2*sec(e + f*x)**2 + 4*c*d**3*sec(e + f*x)**3 + d**4*sec(e + f*x)**4), x) + Integral(sec(e + f*x)**4/(c**4 + 4*c**3*d*sec(e + f*x) + 6*c**2*d**2*sec(e + f*x)**2 + 4*c*d**3*sec(e + f*x)**3 + d**4*sec(e + f*x)**4), x))","F",0
209,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+a*sec(f*x+e))**3/(c+d*sec(f*x+e))**5,x)","a^{3} \left(\int \frac{\sec{\left(e + f x \right)}}{c^{5} + 5 c^{4} d \sec{\left(e + f x \right)} + 10 c^{3} d^{2} \sec^{2}{\left(e + f x \right)} + 10 c^{2} d^{3} \sec^{3}{\left(e + f x \right)} + 5 c d^{4} \sec^{4}{\left(e + f x \right)} + d^{5} \sec^{5}{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{2}{\left(e + f x \right)}}{c^{5} + 5 c^{4} d \sec{\left(e + f x \right)} + 10 c^{3} d^{2} \sec^{2}{\left(e + f x \right)} + 10 c^{2} d^{3} \sec^{3}{\left(e + f x \right)} + 5 c d^{4} \sec^{4}{\left(e + f x \right)} + d^{5} \sec^{5}{\left(e + f x \right)}}\, dx + \int \frac{3 \sec^{3}{\left(e + f x \right)}}{c^{5} + 5 c^{4} d \sec{\left(e + f x \right)} + 10 c^{3} d^{2} \sec^{2}{\left(e + f x \right)} + 10 c^{2} d^{3} \sec^{3}{\left(e + f x \right)} + 5 c d^{4} \sec^{4}{\left(e + f x \right)} + d^{5} \sec^{5}{\left(e + f x \right)}}\, dx + \int \frac{\sec^{4}{\left(e + f x \right)}}{c^{5} + 5 c^{4} d \sec{\left(e + f x \right)} + 10 c^{3} d^{2} \sec^{2}{\left(e + f x \right)} + 10 c^{2} d^{3} \sec^{3}{\left(e + f x \right)} + 5 c d^{4} \sec^{4}{\left(e + f x \right)} + d^{5} \sec^{5}{\left(e + f x \right)}}\, dx\right)"," ",0,"a**3*(Integral(sec(e + f*x)/(c**5 + 5*c**4*d*sec(e + f*x) + 10*c**3*d**2*sec(e + f*x)**2 + 10*c**2*d**3*sec(e + f*x)**3 + 5*c*d**4*sec(e + f*x)**4 + d**5*sec(e + f*x)**5), x) + Integral(3*sec(e + f*x)**2/(c**5 + 5*c**4*d*sec(e + f*x) + 10*c**3*d**2*sec(e + f*x)**2 + 10*c**2*d**3*sec(e + f*x)**3 + 5*c*d**4*sec(e + f*x)**4 + d**5*sec(e + f*x)**5), x) + Integral(3*sec(e + f*x)**3/(c**5 + 5*c**4*d*sec(e + f*x) + 10*c**3*d**2*sec(e + f*x)**2 + 10*c**2*d**3*sec(e + f*x)**3 + 5*c*d**4*sec(e + f*x)**4 + d**5*sec(e + f*x)**5), x) + Integral(sec(e + f*x)**4/(c**5 + 5*c**4*d*sec(e + f*x) + 10*c**3*d**2*sec(e + f*x)**2 + 10*c**2*d**3*sec(e + f*x)**3 + 5*c*d**4*sec(e + f*x)**4 + d**5*sec(e + f*x)**5), x))","F",0
210,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**4/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c^{4} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{4} \sec^{5}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{4 c d^{3} \sec^{4}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{6 c^{2} d^{2} \sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{4 c^{3} d \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c**4*sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(d**4*sec(e + f*x)**5/(sec(e + f*x) + 1), x) + Integral(4*c*d**3*sec(e + f*x)**4/(sec(e + f*x) + 1), x) + Integral(6*c**2*d**2*sec(e + f*x)**3/(sec(e + f*x) + 1), x) + Integral(4*c**3*d*sec(e + f*x)**2/(sec(e + f*x) + 1), x))/a","F",0
211,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**3/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c^{3} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{3} \sec^{4}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c d^{2} \sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c^{2} d \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c**3*sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(d**3*sec(e + f*x)**4/(sec(e + f*x) + 1), x) + Integral(3*c*d**2*sec(e + f*x)**3/(sec(e + f*x) + 1), x) + Integral(3*c**2*d*sec(e + f*x)**2/(sec(e + f*x) + 1), x))/a","F",0
212,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**2/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c^{2} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{2} \sec^{3}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{2 c d \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c**2*sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(d**2*sec(e + f*x)**3/(sec(e + f*x) + 1), x) + Integral(2*c*d*sec(e + f*x)**2/(sec(e + f*x) + 1), x))/a","F",0
213,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))/(a+a*sec(f*x+e)),x)","\frac{\int \frac{c \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d \sec^{2}{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c*sec(e + f*x)/(sec(e + f*x) + 1), x) + Integral(d*sec(e + f*x)**2/(sec(e + f*x) + 1), x))/a","F",0
214,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c+d*sec(f*x+e)),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c \sec{\left(e + f x \right)} + c + d \sec^{2}{\left(e + f x \right)} + d \sec{\left(e + f x \right)}}\, dx}{a}"," ",0,"Integral(sec(e + f*x)/(c*sec(e + f*x) + c + d*sec(e + f*x)**2 + d*sec(e + f*x)), x)/a","F",0
215,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c+d*sec(f*x+e))**2,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c^{2} \sec{\left(e + f x \right)} + c^{2} + 2 c d \sec^{2}{\left(e + f x \right)} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{3}{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx}{a}"," ",0,"Integral(sec(e + f*x)/(c**2*sec(e + f*x) + c**2 + 2*c*d*sec(e + f*x)**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**3 + d**2*sec(e + f*x)**2), x)/a","F",0
216,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c+d*sec(f*x+e))**3,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c^{3} \sec{\left(e + f x \right)} + c^{3} + 3 c^{2} d \sec^{2}{\left(e + f x \right)} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{3}{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{4}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx}{a}"," ",0,"Integral(sec(e + f*x)/(c**3*sec(e + f*x) + c**3 + 3*c**2*d*sec(e + f*x)**2 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**3 + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**4 + d**3*sec(e + f*x)**3), x)/a","F",0
217,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**5/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{c^{5} \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{5} \sec^{6}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{5 c d^{4} \sec^{5}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{10 c^{2} d^{3} \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{10 c^{3} d^{2} \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{5 c^{4} d \sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"(Integral(c**5*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(d**5*sec(e + f*x)**6/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(5*c*d**4*sec(e + f*x)**5/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(10*c**2*d**3*sec(e + f*x)**4/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(10*c**3*d**2*sec(e + f*x)**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(5*c**4*d*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
218,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**4/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{c^{4} \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{4} \sec^{5}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{4 c d^{3} \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{6 c^{2} d^{2} \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{4 c^{3} d \sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"(Integral(c**4*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(d**4*sec(e + f*x)**5/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(4*c*d**3*sec(e + f*x)**4/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(6*c**2*d**2*sec(e + f*x)**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(4*c**3*d*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
219,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**3/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{c^{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{d^{3} \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{3 c d^{2} \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{3 c^{2} d \sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"(Integral(c**3*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(d**3*sec(e + f*x)**4/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(3*c*d**2*sec(e + f*x)**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(3*c**2*d*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
220,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**2/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{c^{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{d^{2} \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{2 c d \sec^{2}{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"(Integral(c**2*sec(e + f*x)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(d**2*sec(e + f*x)**3/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(2*c*d*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
221,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))/(a+a*sec(f*x+e))**2,x)","\frac{\int \frac{c \sec{\left(e + f x \right)}}{\sec^{2}{\left(e + f x \right)} + 2 \sec{\left(e + f x \right)} + 1}\, dx + \int \frac{d \sec^{2}{\left(e + f x \right)}}{\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)/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x) + Integral(d*sec(e + f*x)**2/(sec(e + f*x)**2 + 2*sec(e + f*x) + 1), x))/a**2","F",0
222,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c+d*sec(f*x+e)),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c \sec^{2}{\left(e + f x \right)} + 2 c \sec{\left(e + f x \right)} + c + d \sec^{3}{\left(e + f x \right)} + 2 d \sec^{2}{\left(e + f x \right)} + d \sec{\left(e + f x \right)}}\, dx}{a^{2}}"," ",0,"Integral(sec(e + f*x)/(c*sec(e + f*x)**2 + 2*c*sec(e + f*x) + c + d*sec(e + f*x)**3 + 2*d*sec(e + f*x)**2 + d*sec(e + f*x)), x)/a**2","F",0
223,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c+d*sec(f*x+e))**2,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c^{2} \sec^{2}{\left(e + f x \right)} + 2 c^{2} \sec{\left(e + f x \right)} + c^{2} + 2 c d \sec^{3}{\left(e + f x \right)} + 4 c d \sec^{2}{\left(e + f x \right)} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{4}{\left(e + f x \right)} + 2 d^{2} \sec^{3}{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx}{a^{2}}"," ",0,"Integral(sec(e + f*x)/(c**2*sec(e + f*x)**2 + 2*c**2*sec(e + f*x) + c**2 + 2*c*d*sec(e + f*x)**3 + 4*c*d*sec(e + f*x)**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**4 + 2*d**2*sec(e + f*x)**3 + d**2*sec(e + f*x)**2), x)/a**2","F",0
224,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**2/(c+d*sec(f*x+e))**3,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c^{3} \sec^{2}{\left(e + f x \right)} + 2 c^{3} \sec{\left(e + f x \right)} + c^{3} + 3 c^{2} d \sec^{3}{\left(e + f x \right)} + 6 c^{2} d \sec^{2}{\left(e + f x \right)} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{4}{\left(e + f x \right)} + 6 c d^{2} \sec^{3}{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{5}{\left(e + f x \right)} + 2 d^{3} \sec^{4}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx}{a^{2}}"," ",0,"Integral(sec(e + f*x)/(c**3*sec(e + f*x)**2 + 2*c**3*sec(e + f*x) + c**3 + 3*c**2*d*sec(e + f*x)**3 + 6*c**2*d*sec(e + f*x)**2 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**4 + 6*c*d**2*sec(e + f*x)**3 + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**5 + 2*d**3*sec(e + f*x)**4 + d**3*sec(e + f*x)**3), x)/a**2","F",0
225,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**6/(a+a*sec(f*x+e))**3,x)","\frac{\int \frac{c^{6} \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{d^{6} \sec^{7}{\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{6 c d^{5} \sec^{6}{\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{15 c^{2} d^{4} \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 \frac{20 c^{3} d^{3} \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{15 c^{4} d^{2} \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{6 c^{5} d \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}{a^{3}}"," ",0,"(Integral(c**6*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(d**6*sec(e + f*x)**7/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(6*c*d**5*sec(e + f*x)**6/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(15*c**2*d**4*sec(e + f*x)**5/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(20*c**3*d**3*sec(e + f*x)**4/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(15*c**4*d**2*sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(6*c**5*d*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
226,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**5/(a+a*sec(f*x+e))**3,x)","\frac{\int \frac{c^{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 \frac{d^{5} \sec^{6}{\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{5 c d^{4} \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 \frac{10 c^{2} d^{3} \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{10 c^{3} d^{2} \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{5 c^{4} d \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}{a^{3}}"," ",0,"(Integral(c**5*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(d**5*sec(e + f*x)**6/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(5*c*d**4*sec(e + f*x)**5/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(10*c**2*d**3*sec(e + f*x)**4/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(10*c**3*d**2*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*c**4*d*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
227,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**4/(a+a*sec(f*x+e))**3,x)","\frac{\int \frac{c^{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}\, dx + \int \frac{d^{4} \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 \frac{4 c d^{3} \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{6 c^{2} d^{2} \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{4 c^{3} d \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}{a^{3}}"," ",0,"(Integral(c**4*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(d**4*sec(e + f*x)**5/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(4*c*d**3*sec(e + f*x)**4/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(6*c**2*d**2*sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(4*c**3*d*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
228,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**3/(a+a*sec(f*x+e))**3,x)","\frac{\int \frac{c^{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{d^{3} \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{3 c d^{2} \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{3 c^{2} d \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}{a^{3}}"," ",0,"(Integral(c**3*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(d**3*sec(e + f*x)**4/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(3*c*d**2*sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(3*c**2*d*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
229,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**2/(a+a*sec(f*x+e))**3,x)","\frac{\int \frac{c^{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{d^{2} \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{2 c d \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}{a^{3}}"," ",0,"(Integral(c**2*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(d**2*sec(e + f*x)**3/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(2*c*d*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
230,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))/(a+a*sec(f*x+e))**3,x)","\frac{\int \frac{c \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{d \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}{a^{3}}"," ",0,"(Integral(c*sec(e + f*x)/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x) + Integral(d*sec(e + f*x)**2/(sec(e + f*x)**3 + 3*sec(e + f*x)**2 + 3*sec(e + f*x) + 1), x))/a**3","F",0
231,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c+d*sec(f*x+e)),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c \sec^{3}{\left(e + f x \right)} + 3 c \sec^{2}{\left(e + f x \right)} + 3 c \sec{\left(e + f x \right)} + c + d \sec^{4}{\left(e + f x \right)} + 3 d \sec^{3}{\left(e + f x \right)} + 3 d \sec^{2}{\left(e + f x \right)} + d \sec{\left(e + f x \right)}}\, dx}{a^{3}}"," ",0,"Integral(sec(e + f*x)/(c*sec(e + f*x)**3 + 3*c*sec(e + f*x)**2 + 3*c*sec(e + f*x) + c + d*sec(e + f*x)**4 + 3*d*sec(e + f*x)**3 + 3*d*sec(e + f*x)**2 + d*sec(e + f*x)), x)/a**3","F",0
232,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c+d*sec(f*x+e))**2,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c^{2} \sec^{3}{\left(e + f x \right)} + 3 c^{2} \sec^{2}{\left(e + f x \right)} + 3 c^{2} \sec{\left(e + f x \right)} + c^{2} + 2 c d \sec^{4}{\left(e + f x \right)} + 6 c d \sec^{3}{\left(e + f x \right)} + 6 c d \sec^{2}{\left(e + f x \right)} + 2 c d \sec{\left(e + f x \right)} + d^{2} \sec^{5}{\left(e + f x \right)} + 3 d^{2} \sec^{4}{\left(e + f x \right)} + 3 d^{2} \sec^{3}{\left(e + f x \right)} + d^{2} \sec^{2}{\left(e + f x \right)}}\, dx}{a^{3}}"," ",0,"Integral(sec(e + f*x)/(c**2*sec(e + f*x)**3 + 3*c**2*sec(e + f*x)**2 + 3*c**2*sec(e + f*x) + c**2 + 2*c*d*sec(e + f*x)**4 + 6*c*d*sec(e + f*x)**3 + 6*c*d*sec(e + f*x)**2 + 2*c*d*sec(e + f*x) + d**2*sec(e + f*x)**5 + 3*d**2*sec(e + f*x)**4 + 3*d**2*sec(e + f*x)**3 + d**2*sec(e + f*x)**2), x)/a**3","F",0
233,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**3/(c+d*sec(f*x+e))**3,x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{c^{3} \sec^{3}{\left(e + f x \right)} + 3 c^{3} \sec^{2}{\left(e + f x \right)} + 3 c^{3} \sec{\left(e + f x \right)} + c^{3} + 3 c^{2} d \sec^{4}{\left(e + f x \right)} + 9 c^{2} d \sec^{3}{\left(e + f x \right)} + 9 c^{2} d \sec^{2}{\left(e + f x \right)} + 3 c^{2} d \sec{\left(e + f x \right)} + 3 c d^{2} \sec^{5}{\left(e + f x \right)} + 9 c d^{2} \sec^{4}{\left(e + f x \right)} + 9 c d^{2} \sec^{3}{\left(e + f x \right)} + 3 c d^{2} \sec^{2}{\left(e + f x \right)} + d^{3} \sec^{6}{\left(e + f x \right)} + 3 d^{3} \sec^{5}{\left(e + f x \right)} + 3 d^{3} \sec^{4}{\left(e + f x \right)} + d^{3} \sec^{3}{\left(e + f x \right)}}\, dx}{a^{3}}"," ",0,"Integral(sec(e + f*x)/(c**3*sec(e + f*x)**3 + 3*c**3*sec(e + f*x)**2 + 3*c**3*sec(e + f*x) + c**3 + 3*c**2*d*sec(e + f*x)**4 + 9*c**2*d*sec(e + f*x)**3 + 9*c**2*d*sec(e + f*x)**2 + 3*c**2*d*sec(e + f*x) + 3*c*d**2*sec(e + f*x)**5 + 9*c*d**2*sec(e + f*x)**4 + 9*c*d**2*sec(e + f*x)**3 + 3*c*d**2*sec(e + f*x)**2 + d**3*sec(e + f*x)**6 + 3*d**3*sec(e + f*x)**5 + 3*d**3*sec(e + f*x)**4 + d**3*sec(e + f*x)**3), x)/a**3","F",0
234,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \right)}}{\sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*sec(e + f*x)/sqrt(c + d*sec(e + f*x)), x)","F",0
235,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)}} \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))*sec(e + f*x)/sqrt(a*(sec(e + f*x) + 1)), x)","F",0
236,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+a*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)/(sqrt(a*(sec(e + f*x) + 1))*sqrt(c + d*sec(e + f*x))), x)","F",0
237,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(a+a*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(1/2),x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)**2/(sqrt(a*(sec(e + f*x) + 1))*sqrt(c + d*sec(e + f*x))), x)","F",0
238,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)} \sec{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*sec(e + f*x)/(c + d*sec(e + f*x)), x)","F",0
239,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)*(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)} \left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a*(sec(e + f*x) + 1))*(g*sec(e + f*x))**(3/2)/(c + d*sec(e + f*x)), x)","F",0
240,0,0,0,0.000000," ","integrate(sec(f*x+e)/(c+d*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(sec(e + f*x)/(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x))), x)","F",0
241,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(c+d*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(sec(e + f*x)**2/(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x))), x)","F",0
242,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","\int \frac{\left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{\sqrt{a \left(\sec{\left(e + f x \right)} + 1\right)} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral((g*sec(e + f*x))**(3/2)/(sqrt(a*(sec(e + f*x) + 1))*(c + d*sec(e + f*x))), x)","F",0
243,-1,0,0,0.000000," ","integrate((g*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e))/(a+a*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
244,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e))*(c+d*sec(f*x+e))**4,x)","\int \left(a + b \sec{\left(e + f x \right)}\right) \left(c + d \sec{\left(e + f x \right)}\right)^{4} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x))*(c + d*sec(e + f*x))**4*sec(e + f*x), x)","F",0
245,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e))*(c+d*sec(f*x+e))**3,x)","\int \left(a + b \sec{\left(e + f x \right)}\right) \left(c + d \sec{\left(e + f x \right)}\right)^{3} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x))*(c + d*sec(e + f*x))**3*sec(e + f*x), x)","F",0
246,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e))*(c+d*sec(f*x+e))**2,x)","\int \left(a + b \sec{\left(e + f x \right)}\right) \left(c + d \sec{\left(e + f x \right)}\right)^{2} \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x))*(c + d*sec(e + f*x))**2*sec(e + f*x), x)","F",0
247,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e))*(c+d*sec(f*x+e)),x)","\int \left(a + b \sec{\left(e + f x \right)}\right) \left(c + d \sec{\left(e + f x \right)}\right) \sec{\left(e + f x \right)}\, dx"," ",0,"Integral((a + b*sec(e + f*x))*(c + d*sec(e + f*x))*sec(e + f*x), x)","F",0
248,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e))/(c+d*sec(f*x+e)),x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right) \sec{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))*sec(e + f*x)/(c + d*sec(e + f*x)), x)","F",0
249,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e))/(c+d*sec(f*x+e))**2,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right) \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))*sec(e + f*x)/(c + d*sec(e + f*x))**2, x)","F",0
250,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e))/(c+d*sec(f*x+e))**3,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right) \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))*sec(e + f*x)/(c + d*sec(e + f*x))**3, x)","F",0
251,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e))/(c+d*sec(f*x+e))**4,x)","\int \frac{\left(a + b \sec{\left(e + f x \right)}\right) \sec{\left(e + f x \right)}}{\left(c + d \sec{\left(e + f x \right)}\right)^{4}}\, dx"," ",0,"Integral((a + b*sec(e + f*x))*sec(e + f*x)/(c + d*sec(e + f*x))**4, x)","F",0
252,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**4/(a+b*sec(f*x+e)),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{4} \sec{\left(e + f x \right)}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**4*sec(e + f*x)/(a + b*sec(e + f*x)), x)","F",0
253,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**3/(a+b*sec(f*x+e)),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{3} \sec{\left(e + f x \right)}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**3*sec(e + f*x)/(a + b*sec(e + f*x)), x)","F",0
254,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**2/(a+b*sec(f*x+e)),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{2} \sec{\left(e + f x \right)}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**2*sec(e + f*x)/(a + b*sec(e + f*x)), x)","F",0
255,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))/(a+b*sec(f*x+e)),x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right) \sec{\left(e + f x \right)}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))*sec(e + f*x)/(a + b*sec(e + f*x)), x)","F",0
256,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e))/(c+d*sec(f*x+e)),x)","\int \frac{\sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right) \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(sec(e + f*x)/((a + b*sec(e + f*x))*(c + d*sec(e + f*x))), x)","F",0
257,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e))/(c+d*sec(f*x+e))**2,x)","\int \frac{\sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right) \left(c + d \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(e + f*x)/((a + b*sec(e + f*x))*(c + d*sec(e + f*x))**2), x)","F",0
258,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**5/(a+b*sec(f*x+e))**2,x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{5} \sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**5*sec(e + f*x)/(a + b*sec(e + f*x))**2, x)","F",0
259,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**4/(a+b*sec(f*x+e))**2,x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{4} \sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**4*sec(e + f*x)/(a + b*sec(e + f*x))**2, x)","F",0
260,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**3/(a+b*sec(f*x+e))**2,x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{3} \sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**3*sec(e + f*x)/(a + b*sec(e + f*x))**2, x)","F",0
261,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))**2/(a+b*sec(f*x+e))**2,x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right)^{2} \sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))**2*sec(e + f*x)/(a + b*sec(e + f*x))**2, x)","F",0
262,0,0,0,0.000000," ","integrate(sec(f*x+e)*(c+d*sec(f*x+e))/(a+b*sec(f*x+e))**2,x)","\int \frac{\left(c + d \sec{\left(e + f x \right)}\right) \sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*sec(e + f*x))*sec(e + f*x)/(a + b*sec(e + f*x))**2, x)","F",0
263,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e))**2/(c+d*sec(f*x+e)),x)","\int \frac{\sec{\left(e + f x \right)}}{\left(a + b \sec{\left(e + f x \right)}\right)^{2} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(sec(e + f*x)/((a + b*sec(e + f*x))**2*(c + d*sec(e + f*x))), x)","F",0
264,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)}} \sec{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x))*sec(e + f*x)/(c + d*sec(e + f*x)), x)","F",0
265,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)}} \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))*sec(e + f*x)/sqrt(c + d*sec(e + f*x)), x)","F",0
266,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\sqrt{a + b \sec{\left(e + f x \right)}} \sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)/(sqrt(a + b*sec(e + f*x))*sqrt(c + d*sec(e + f*x))), x)","F",0
267,0,0,0,0.000000," ","integrate(sec(f*x+e)/(2+3*sec(f*x+e))**(1/2)/(-4+5*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\sqrt{3 \sec{\left(e + f x \right)} + 2} \sqrt{5 \sec{\left(e + f x \right)} - 4}}\, dx"," ",0,"Integral(sec(e + f*x)/(sqrt(3*sec(e + f*x) + 2)*sqrt(5*sec(e + f*x) - 4)), x)","F",0
268,0,0,0,0.000000," ","integrate(sec(f*x+e)/(4-5*sec(f*x+e))**(1/2)/(2+3*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\sqrt{4 - 5 \sec{\left(e + f x \right)}} \sqrt{3 \sec{\left(e + f x \right)} + 2}}\, dx"," ",0,"Integral(sec(e + f*x)/(sqrt(4 - 5*sec(e + f*x))*sqrt(3*sec(e + f*x) + 2)), x)","F",0
269,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(a+b*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e))**(1/2),x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\sqrt{a + b \sec{\left(e + f x \right)}} \sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral(sec(e + f*x)**2/(sqrt(a + b*sec(e + f*x))*sqrt(c + d*sec(e + f*x))), x)","F",0
270,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)*(c+d*sec(f*x+e))**(1/2)/(a+b*sec(f*x+e)),x)","\int \frac{\left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \sqrt{c + d \sec{\left(e + f x \right)}}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((g*sec(e + f*x))**(3/2)*sqrt(c + d*sec(e + f*x))/(a + b*sec(e + f*x)), x)","F",0
271,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)/(a+b*sec(f*x+e))/(c+d*sec(f*x+e))**(1/2),x)","\int \frac{\left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{\left(a + b \sec{\left(e + f x \right)}\right) \sqrt{c + d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral((g*sec(e + f*x))**(3/2)/((a + b*sec(e + f*x))*sqrt(c + d*sec(e + f*x))), x)","F",0
272,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(1/2)*(c+d*sec(f*x+e))**(1/2)/(a+b*cos(f*x+e)),x)","\int \frac{\sqrt{g \sec{\left(e + f x \right)}} \sqrt{c + d \sec{\left(e + f x \right)}}}{a + b \cos{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(g*sec(e + f*x))*sqrt(c + d*sec(e + f*x))/(a + b*cos(e + f*x)), x)","F",0
273,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e))**(1/2)/(c+c*sec(f*x+e)),x)","\frac{\int \frac{\sqrt{a + b \sec{\left(e + f x \right)}} \sec{\left(e + f x \right)}}{\sec{\left(e + f x \right)} + 1}\, dx}{c}"," ",0,"Integral(sqrt(a + b*sec(e + f*x))*sec(e + f*x)/(sec(e + f*x) + 1), x)/c","F",0
274,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)*(a+b*sec(f*x+e))**(1/2)/(c+c*sec(f*x+e)),x)","\frac{\int \frac{\left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \sqrt{a + b \sec{\left(e + f x \right)}}}{\sec{\left(e + f x \right)} + 1}\, dx}{c}"," ",0,"Integral((g*sec(e + f*x))**(3/2)*sqrt(a + b*sec(e + f*x))/(sec(e + f*x) + 1), x)/c","F",0
275,0,0,0,0.000000," ","integrate(sec(f*x+e)/(c+c*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\frac{\int \frac{\sec{\left(e + f x \right)}}{\sqrt{a + b \sec{\left(e + f x \right)}} \sec{\left(e + f x \right)} + \sqrt{a + b \sec{\left(e + f x \right)}}}\, dx}{c}"," ",0,"Integral(sec(e + f*x)/(sqrt(a + b*sec(e + f*x))*sec(e + f*x) + sqrt(a + b*sec(e + f*x))), x)/c","F",0
276,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(c+c*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\frac{\int \frac{\sec^{2}{\left(e + f x \right)}}{\sqrt{a + b \sec{\left(e + f x \right)}} \sec{\left(e + f x \right)} + \sqrt{a + b \sec{\left(e + f x \right)}}}\, dx}{c}"," ",0,"Integral(sec(e + f*x)**2/(sqrt(a + b*sec(e + f*x))*sec(e + f*x) + sqrt(a + b*sec(e + f*x))), x)/c","F",0
277,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)/(c+c*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\frac{\int \frac{\left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{\sqrt{a + b \sec{\left(e + f x \right)}} \sec{\left(e + f x \right)} + \sqrt{a + b \sec{\left(e + f x \right)}}}\, dx}{c}"," ",0,"Integral((g*sec(e + f*x))**(3/2)/(sqrt(a + b*sec(e + f*x))*sec(e + f*x) + sqrt(a + b*sec(e + f*x))), x)/c","F",0
278,-1,0,0,0.000000," ","integrate((g*sec(f*x+e))**(5/2)/(c+c*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
279,0,0,0,0.000000," ","integrate(sec(f*x+e)*(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)}} \sec{\left(e + f x \right)}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sec(e + f*x))*sec(e + f*x)/(c + d*sec(e + f*x)), x)","F",0
280,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)*(a+b*sec(f*x+e))**(1/2)/(c+d*sec(f*x+e)),x)","\int \frac{\left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \sqrt{a + b \sec{\left(e + f x \right)}}}{c + d \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((g*sec(e + f*x))**(3/2)*sqrt(a + b*sec(e + f*x))/(c + d*sec(e + f*x)), x)","F",0
281,0,0,0,0.000000," ","integrate(sec(f*x+e)/(c+d*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\int \frac{\sec{\left(e + f x \right)}}{\sqrt{a + b \sec{\left(e + f x \right)}} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(sec(e + f*x)/(sqrt(a + b*sec(e + f*x))*(c + d*sec(e + f*x))), x)","F",0
282,0,0,0,0.000000," ","integrate(sec(f*x+e)**2/(c+d*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\int \frac{\sec^{2}{\left(e + f x \right)}}{\sqrt{a + b \sec{\left(e + f x \right)}} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(sec(e + f*x)**2/(sqrt(a + b*sec(e + f*x))*(c + d*sec(e + f*x))), x)","F",0
283,0,0,0,0.000000," ","integrate((g*sec(f*x+e))**(3/2)/(c+d*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\int \frac{\left(g \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{\sqrt{a + b \sec{\left(e + f x \right)}} \left(c + d \sec{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral((g*sec(e + f*x))**(3/2)/(sqrt(a + b*sec(e + f*x))*(c + d*sec(e + f*x))), x)","F",0
284,-1,0,0,0.000000," ","integrate((g*sec(f*x+e))**(5/2)/(c+d*sec(f*x+e))/(a+b*sec(f*x+e))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
285,0,0,0,0.000000," ","integrate(sec(f*x+e)*tan(f*x+e)**4/(c-c*sec(f*x+e))**7,x)","- \frac{\int \frac{\tan^{4}{\left(e + f x \right)} \sec{\left(e + f x \right)}}{\sec^{7}{\left(e + f x \right)} - 7 \sec^{6}{\left(e + f x \right)} + 21 \sec^{5}{\left(e + f x \right)} - 35 \sec^{4}{\left(e + f x \right)} + 35 \sec^{3}{\left(e + f x \right)} - 21 \sec^{2}{\left(e + f x \right)} + 7 \sec{\left(e + f x \right)} - 1}\, dx}{c^{7}}"," ",0,"-Integral(tan(e + f*x)**4*sec(e + f*x)/(sec(e + f*x)**7 - 7*sec(e + f*x)**6 + 21*sec(e + f*x)**5 - 35*sec(e + f*x)**4 + 35*sec(e + f*x)**3 - 21*sec(e + f*x)**2 + 7*sec(e + f*x) - 1), x)/c**7","F",0
286,0,0,0,0.000000," ","integrate(sec(f*x+e)*tan(f*x+e)**4/(c-c*sec(f*x+e))**8,x)","\frac{\int \frac{\tan^{4}{\left(e + f x \right)} \sec{\left(e + f x \right)}}{\sec^{8}{\left(e + f x \right)} - 8 \sec^{7}{\left(e + f x \right)} + 28 \sec^{6}{\left(e + f x \right)} - 56 \sec^{5}{\left(e + f x \right)} + 70 \sec^{4}{\left(e + f x \right)} - 56 \sec^{3}{\left(e + f x \right)} + 28 \sec^{2}{\left(e + f x \right)} - 8 \sec{\left(e + f x \right)} + 1}\, dx}{c^{8}}"," ",0,"Integral(tan(e + f*x)**4*sec(e + f*x)/(sec(e + f*x)**8 - 8*sec(e + f*x)**7 + 28*sec(e + f*x)**6 - 56*sec(e + f*x)**5 + 70*sec(e + f*x)**4 - 56*sec(e + f*x)**3 + 28*sec(e + f*x)**2 - 8*sec(e + f*x) + 1), x)/c**8","F",0
