1,1,184,0,21.437669," ","integrate((a+a*sec(d*x+c))*tan(d*x+c)**9,x)","\begin{cases} \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a \tan^{8}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{9 d} + \frac{a \tan^{8}{\left(c + d x \right)}}{8 d} - \frac{8 a \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{63 d} - \frac{a \tan^{6}{\left(c + d x \right)}}{6 d} + \frac{16 a \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{105 d} + \frac{a \tan^{4}{\left(c + d x \right)}}{4 d} - \frac{64 a \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{315 d} - \frac{a \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{128 a \sec{\left(c + d x \right)}}{315 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right) \tan^{9}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(tan(c + d*x)**2 + 1)/(2*d) + a*tan(c + d*x)**8*sec(c + d*x)/(9*d) + a*tan(c + d*x)**8/(8*d) - 8*a*tan(c + d*x)**6*sec(c + d*x)/(63*d) - a*tan(c + d*x)**6/(6*d) + 16*a*tan(c + d*x)**4*sec(c + d*x)/(105*d) + a*tan(c + d*x)**4/(4*d) - 64*a*tan(c + d*x)**2*sec(c + d*x)/(315*d) - a*tan(c + d*x)**2/(2*d) + 128*a*sec(c + d*x)/(315*d), Ne(d, 0)), (x*(a*sec(c) + a)*tan(c)**9, True))","A",0
2,1,148,0,8.461666," ","integrate((a+a*sec(d*x+c))*tan(d*x+c)**7,x)","\begin{cases} - \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{7 d} + \frac{a \tan^{6}{\left(c + d x \right)}}{6 d} - \frac{6 a \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} - \frac{a \tan^{4}{\left(c + d x \right)}}{4 d} + \frac{8 a \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} + \frac{a \tan^{2}{\left(c + d x \right)}}{2 d} - \frac{16 a \sec{\left(c + d x \right)}}{35 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right) \tan^{7}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*log(tan(c + d*x)**2 + 1)/(2*d) + a*tan(c + d*x)**6*sec(c + d*x)/(7*d) + a*tan(c + d*x)**6/(6*d) - 6*a*tan(c + d*x)**4*sec(c + d*x)/(35*d) - a*tan(c + d*x)**4/(4*d) + 8*a*tan(c + d*x)**2*sec(c + d*x)/(35*d) + a*tan(c + d*x)**2/(2*d) - 16*a*sec(c + d*x)/(35*d), Ne(d, 0)), (x*(a*sec(c) + a)*tan(c)**7, True))","A",0
3,1,112,0,3.062656," ","integrate((a+a*sec(d*x+c))*tan(d*x+c)**5,x)","\begin{cases} \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{5 d} + \frac{a \tan^{4}{\left(c + d x \right)}}{4 d} - \frac{4 a \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{15 d} - \frac{a \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{8 a \sec{\left(c + d x \right)}}{15 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right) \tan^{5}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(tan(c + d*x)**2 + 1)/(2*d) + a*tan(c + d*x)**4*sec(c + d*x)/(5*d) + a*tan(c + d*x)**4/(4*d) - 4*a*tan(c + d*x)**2*sec(c + d*x)/(15*d) - a*tan(c + d*x)**2/(2*d) + 8*a*sec(c + d*x)/(15*d), Ne(d, 0)), (x*(a*sec(c) + a)*tan(c)**5, True))","A",0
4,1,76,0,0.915998," ","integrate((a+a*sec(d*x+c))*tan(d*x+c)**3,x)","\begin{cases} - \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{3 d} + \frac{a \tan^{2}{\left(c + d x \right)}}{2 d} - \frac{2 a \sec{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right) \tan^{3}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*log(tan(c + d*x)**2 + 1)/(2*d) + a*tan(c + d*x)**2*sec(c + d*x)/(3*d) + a*tan(c + d*x)**2/(2*d) - 2*a*sec(c + d*x)/(3*d), Ne(d, 0)), (x*(a*sec(c) + a)*tan(c)**3, True))","A",0
5,1,37,0,0.259792," ","integrate((a+a*sec(d*x+c))*tan(d*x+c),x)","\begin{cases} \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a \sec{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right) \tan{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(tan(c + d*x)**2 + 1)/(2*d) + a*sec(c + d*x)/d, Ne(d, 0)), (x*(a*sec(c) + a)*tan(c), True))","A",0
6,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+a*sec(d*x+c)),x)","a \left(\int \cot{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(cot(c + d*x)*sec(c + d*x), x) + Integral(cot(c + d*x), x))","F",0
7,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sec(d*x+c)),x)","a \left(\int \cot^{3}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(cot(c + d*x)**3*sec(c + d*x), x) + Integral(cot(c + d*x)**3, x))","F",0
8,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+a*sec(d*x+c)),x)","a \left(\int \cot^{5}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{5}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(cot(c + d*x)**5*sec(c + d*x), x) + Integral(cot(c + d*x)**5, x))","F",0
9,0,0,0,0.000000," ","integrate(cot(d*x+c)**7*(a+a*sec(d*x+c)),x)","a \left(\int \cot^{7}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{7}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(cot(c + d*x)**7*sec(c + d*x), x) + Integral(cot(c + d*x)**7, x))","F",0
10,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))*tan(d*x+c)**8,x)","a \left(\int \tan^{8}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \tan^{8}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(tan(c + d*x)**8*sec(c + d*x), x) + Integral(tan(c + d*x)**8, x))","F",0
11,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))*tan(d*x+c)**6,x)","a \left(\int \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \tan^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(tan(c + d*x)**6*sec(c + d*x), x) + Integral(tan(c + d*x)**6, x))","F",0
12,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))*tan(d*x+c)**4,x)","a \left(\int \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \tan^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(tan(c + d*x)**4*sec(c + d*x), x) + Integral(tan(c + d*x)**4, x))","F",0
13,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))*tan(d*x+c)**2,x)","a \left(\int \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \tan^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(tan(c + d*x)**2*sec(c + d*x), x) + Integral(tan(c + d*x)**2, x))","F",0
14,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sec(d*x+c)),x)","a \left(\int \cot^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(cot(c + d*x)**2*sec(c + d*x), x) + Integral(cot(c + d*x)**2, x))","F",0
15,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sec(d*x+c)),x)","a \left(\int \cot^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(cot(c + d*x)**4*sec(c + d*x), x) + Integral(cot(c + d*x)**4, x))","F",0
16,0,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+a*sec(d*x+c)),x)","a \left(\int \cot^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(cot(c + d*x)**6*sec(c + d*x), x) + Integral(cot(c + d*x)**6, x))","F",0
17,-1,0,0,0.000000," ","integrate(cot(d*x+c)**8*(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,-1,0,0,0.000000," ","integrate(cot(d*x+c)**10*(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,1,314,0,33.745523," ","integrate((a+a*sec(d*x+c))**2*tan(d*x+c)**9,x)","\begin{cases} \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{2} \tan^{8}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} + \frac{2 a^{2} \tan^{8}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{9 d} + \frac{a^{2} \tan^{8}{\left(c + d x \right)}}{8 d} - \frac{a^{2} \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} - \frac{16 a^{2} \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{63 d} - \frac{a^{2} \tan^{6}{\left(c + d x \right)}}{6 d} + \frac{a^{2} \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} + \frac{32 a^{2} \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{105 d} + \frac{a^{2} \tan^{4}{\left(c + d x \right)}}{4 d} - \frac{a^{2} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} - \frac{128 a^{2} \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{315 d} - \frac{a^{2} \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{a^{2} \sec^{2}{\left(c + d x \right)}}{10 d} + \frac{256 a^{2} \sec{\left(c + d x \right)}}{315 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{2} \tan^{9}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*log(tan(c + d*x)**2 + 1)/(2*d) + a**2*tan(c + d*x)**8*sec(c + d*x)**2/(10*d) + 2*a**2*tan(c + d*x)**8*sec(c + d*x)/(9*d) + a**2*tan(c + d*x)**8/(8*d) - a**2*tan(c + d*x)**6*sec(c + d*x)**2/(10*d) - 16*a**2*tan(c + d*x)**6*sec(c + d*x)/(63*d) - a**2*tan(c + d*x)**6/(6*d) + a**2*tan(c + d*x)**4*sec(c + d*x)**2/(10*d) + 32*a**2*tan(c + d*x)**4*sec(c + d*x)/(105*d) + a**2*tan(c + d*x)**4/(4*d) - a**2*tan(c + d*x)**2*sec(c + d*x)**2/(10*d) - 128*a**2*tan(c + d*x)**2*sec(c + d*x)/(315*d) - a**2*tan(c + d*x)**2/(2*d) + a**2*sec(c + d*x)**2/(10*d) + 256*a**2*sec(c + d*x)/(315*d), Ne(d, 0)), (x*(a*sec(c) + a)**2*tan(c)**9, True))","A",0
20,1,252,0,14.177180," ","integrate((a+a*sec(d*x+c))**2*tan(d*x+c)**7,x)","\begin{cases} - \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{2} \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 d} + \frac{2 a^{2} \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{7 d} + \frac{a^{2} \tan^{6}{\left(c + d x \right)}}{6 d} - \frac{a^{2} \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 d} - \frac{12 a^{2} \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} - \frac{a^{2} \tan^{4}{\left(c + d x \right)}}{4 d} + \frac{a^{2} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 d} + \frac{16 a^{2} \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} + \frac{a^{2} \tan^{2}{\left(c + d x \right)}}{2 d} - \frac{a^{2} \sec^{2}{\left(c + d x \right)}}{8 d} - \frac{32 a^{2} \sec{\left(c + d x \right)}}{35 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{2} \tan^{7}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*log(tan(c + d*x)**2 + 1)/(2*d) + a**2*tan(c + d*x)**6*sec(c + d*x)**2/(8*d) + 2*a**2*tan(c + d*x)**6*sec(c + d*x)/(7*d) + a**2*tan(c + d*x)**6/(6*d) - a**2*tan(c + d*x)**4*sec(c + d*x)**2/(8*d) - 12*a**2*tan(c + d*x)**4*sec(c + d*x)/(35*d) - a**2*tan(c + d*x)**4/(4*d) + a**2*tan(c + d*x)**2*sec(c + d*x)**2/(8*d) + 16*a**2*tan(c + d*x)**2*sec(c + d*x)/(35*d) + a**2*tan(c + d*x)**2/(2*d) - a**2*sec(c + d*x)**2/(8*d) - 32*a**2*sec(c + d*x)/(35*d), Ne(d, 0)), (x*(a*sec(c) + a)**2*tan(c)**7, True))","A",0
21,1,189,0,5.334773," ","integrate((a+a*sec(d*x+c))**2*tan(d*x+c)**5,x)","\begin{cases} \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{2} \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{6 d} + \frac{2 a^{2} \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{5 d} + \frac{a^{2} \tan^{4}{\left(c + d x \right)}}{4 d} - \frac{a^{2} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{6 d} - \frac{8 a^{2} \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{15 d} - \frac{a^{2} \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{a^{2} \sec^{2}{\left(c + d x \right)}}{6 d} + \frac{16 a^{2} \sec{\left(c + d x \right)}}{15 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{2} \tan^{5}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*log(tan(c + d*x)**2 + 1)/(2*d) + a**2*tan(c + d*x)**4*sec(c + d*x)**2/(6*d) + 2*a**2*tan(c + d*x)**4*sec(c + d*x)/(5*d) + a**2*tan(c + d*x)**4/(4*d) - a**2*tan(c + d*x)**2*sec(c + d*x)**2/(6*d) - 8*a**2*tan(c + d*x)**2*sec(c + d*x)/(15*d) - a**2*tan(c + d*x)**2/(2*d) + a**2*sec(c + d*x)**2/(6*d) + 16*a**2*sec(c + d*x)/(15*d), Ne(d, 0)), (x*(a*sec(c) + a)**2*tan(c)**5, True))","A",0
22,1,126,0,1.815049," ","integrate((a+a*sec(d*x+c))**2*tan(d*x+c)**3,x)","\begin{cases} - \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{2} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{4 d} + \frac{2 a^{2} \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{3 d} + \frac{a^{2} \tan^{2}{\left(c + d x \right)}}{2 d} - \frac{a^{2} \sec^{2}{\left(c + d x \right)}}{4 d} - \frac{4 a^{2} \sec{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{2} \tan^{3}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*log(tan(c + d*x)**2 + 1)/(2*d) + a**2*tan(c + d*x)**2*sec(c + d*x)**2/(4*d) + 2*a**2*tan(c + d*x)**2*sec(c + d*x)/(3*d) + a**2*tan(c + d*x)**2/(2*d) - a**2*sec(c + d*x)**2/(4*d) - 4*a**2*sec(c + d*x)/(3*d), Ne(d, 0)), (x*(a*sec(c) + a)**2*tan(c)**3, True))","A",0
23,1,60,0,0.480183," ","integrate((a+a*sec(d*x+c))**2*tan(d*x+c),x)","\begin{cases} \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{2} \sec^{2}{\left(c + d x \right)}}{2 d} + \frac{2 a^{2} \sec{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{2} \tan{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*log(tan(c + d*x)**2 + 1)/(2*d) + a**2*sec(c + d*x)**2/(2*d) + 2*a**2*sec(c + d*x)/d, Ne(d, 0)), (x*(a*sec(c) + a)**2*tan(c), True))","A",0
24,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+a*sec(d*x+c))**2,x)","a^{2} \left(\int 2 \cot{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*cot(c + d*x)*sec(c + d*x), x) + Integral(cot(c + d*x)*sec(c + d*x)**2, x) + Integral(cot(c + d*x), x))","F",0
25,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sec(d*x+c))**2,x)","a^{2} \left(\int 2 \cot^{3}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{3}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*cot(c + d*x)**3*sec(c + d*x), x) + Integral(cot(c + d*x)**3*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**3, x))","F",0
26,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+a*sec(d*x+c))**2,x)","a^{2} \left(\int 2 \cot^{5}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{5}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{5}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*cot(c + d*x)**5*sec(c + d*x), x) + Integral(cot(c + d*x)**5*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**5, x))","F",0
27,0,0,0,0.000000," ","integrate(cot(d*x+c)**7*(a+a*sec(d*x+c))**2,x)","a^{2} \left(\int 2 \cot^{7}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{7}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{7}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*cot(c + d*x)**7*sec(c + d*x), x) + Integral(cot(c + d*x)**7*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**7, x))","F",0
28,-1,0,0,0.000000," ","integrate(cot(d*x+c)**9*(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2*tan(d*x+c)**6,x)","a^{2} \left(\int 2 \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \tan^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*tan(c + d*x)**6*sec(c + d*x), x) + Integral(tan(c + d*x)**6*sec(c + d*x)**2, x) + Integral(tan(c + d*x)**6, x))","F",0
30,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2*tan(d*x+c)**4,x)","a^{2} \left(\int 2 \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \tan^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*tan(c + d*x)**4*sec(c + d*x), x) + Integral(tan(c + d*x)**4*sec(c + d*x)**2, x) + Integral(tan(c + d*x)**4, x))","F",0
31,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2*tan(d*x+c)**2,x)","a^{2} \left(\int 2 \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \tan^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*tan(c + d*x)**2*sec(c + d*x), x) + Integral(tan(c + d*x)**2*sec(c + d*x)**2, x) + Integral(tan(c + d*x)**2, x))","F",0
32,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sec(d*x+c))**2,x)","a^{2} \left(\int 2 \cot^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*cot(c + d*x)**2*sec(c + d*x), x) + Integral(cot(c + d*x)**2*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**2, x))","F",0
33,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sec(d*x+c))**2,x)","a^{2} \left(\int 2 \cot^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*cot(c + d*x)**4*sec(c + d*x), x) + Integral(cot(c + d*x)**4*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**4, x))","F",0
34,0,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+a*sec(d*x+c))**2,x)","a^{2} \left(\int 2 \cot^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \cot^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*cot(c + d*x)**6*sec(c + d*x), x) + Integral(cot(c + d*x)**6*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**6, x))","F",0
35,-1,0,0,0.000000," ","integrate(cot(d*x+c)**8*(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,-1,0,0,0.000000," ","integrate(cot(d*x+c)**10*(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,1,439,0,51.795090," ","integrate((a+a*sec(d*x+c))**3*tan(d*x+c)**9,x)","\begin{cases} \frac{a^{3} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{3} \tan^{8}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{11 d} + \frac{3 a^{3} \tan^{8}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} + \frac{a^{3} \tan^{8}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{3 d} + \frac{a^{3} \tan^{8}{\left(c + d x \right)}}{8 d} - \frac{8 a^{3} \tan^{6}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{99 d} - \frac{3 a^{3} \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} - \frac{8 a^{3} \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{21 d} - \frac{a^{3} \tan^{6}{\left(c + d x \right)}}{6 d} + \frac{16 a^{3} \tan^{4}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{231 d} + \frac{3 a^{3} \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} + \frac{16 a^{3} \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} + \frac{a^{3} \tan^{4}{\left(c + d x \right)}}{4 d} - \frac{64 a^{3} \tan^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{1155 d} - \frac{3 a^{3} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} - \frac{64 a^{3} \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{105 d} - \frac{a^{3} \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{128 a^{3} \sec^{3}{\left(c + d x \right)}}{3465 d} + \frac{3 a^{3} \sec^{2}{\left(c + d x \right)}}{10 d} + \frac{128 a^{3} \sec{\left(c + d x \right)}}{105 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{3} \tan^{9}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*log(tan(c + d*x)**2 + 1)/(2*d) + a**3*tan(c + d*x)**8*sec(c + d*x)**3/(11*d) + 3*a**3*tan(c + d*x)**8*sec(c + d*x)**2/(10*d) + a**3*tan(c + d*x)**8*sec(c + d*x)/(3*d) + a**3*tan(c + d*x)**8/(8*d) - 8*a**3*tan(c + d*x)**6*sec(c + d*x)**3/(99*d) - 3*a**3*tan(c + d*x)**6*sec(c + d*x)**2/(10*d) - 8*a**3*tan(c + d*x)**6*sec(c + d*x)/(21*d) - a**3*tan(c + d*x)**6/(6*d) + 16*a**3*tan(c + d*x)**4*sec(c + d*x)**3/(231*d) + 3*a**3*tan(c + d*x)**4*sec(c + d*x)**2/(10*d) + 16*a**3*tan(c + d*x)**4*sec(c + d*x)/(35*d) + a**3*tan(c + d*x)**4/(4*d) - 64*a**3*tan(c + d*x)**2*sec(c + d*x)**3/(1155*d) - 3*a**3*tan(c + d*x)**2*sec(c + d*x)**2/(10*d) - 64*a**3*tan(c + d*x)**2*sec(c + d*x)/(105*d) - a**3*tan(c + d*x)**2/(2*d) + 128*a**3*sec(c + d*x)**3/(3465*d) + 3*a**3*sec(c + d*x)**2/(10*d) + 128*a**3*sec(c + d*x)/(105*d), Ne(d, 0)), (x*(a*sec(c) + a)**3*tan(c)**9, True))","A",0
38,1,350,0,22.570907," ","integrate((a+a*sec(d*x+c))**3*tan(d*x+c)**7,x)","\begin{cases} - \frac{a^{3} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{3} \tan^{6}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{9 d} + \frac{3 a^{3} \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 d} + \frac{3 a^{3} \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{7 d} + \frac{a^{3} \tan^{6}{\left(c + d x \right)}}{6 d} - \frac{2 a^{3} \tan^{4}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{21 d} - \frac{3 a^{3} \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 d} - \frac{18 a^{3} \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} - \frac{a^{3} \tan^{4}{\left(c + d x \right)}}{4 d} + \frac{8 a^{3} \tan^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{105 d} + \frac{3 a^{3} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 d} + \frac{24 a^{3} \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} + \frac{a^{3} \tan^{2}{\left(c + d x \right)}}{2 d} - \frac{16 a^{3} \sec^{3}{\left(c + d x \right)}}{315 d} - \frac{3 a^{3} \sec^{2}{\left(c + d x \right)}}{8 d} - \frac{48 a^{3} \sec{\left(c + d x \right)}}{35 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{3} \tan^{7}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**3*log(tan(c + d*x)**2 + 1)/(2*d) + a**3*tan(c + d*x)**6*sec(c + d*x)**3/(9*d) + 3*a**3*tan(c + d*x)**6*sec(c + d*x)**2/(8*d) + 3*a**3*tan(c + d*x)**6*sec(c + d*x)/(7*d) + a**3*tan(c + d*x)**6/(6*d) - 2*a**3*tan(c + d*x)**4*sec(c + d*x)**3/(21*d) - 3*a**3*tan(c + d*x)**4*sec(c + d*x)**2/(8*d) - 18*a**3*tan(c + d*x)**4*sec(c + d*x)/(35*d) - a**3*tan(c + d*x)**4/(4*d) + 8*a**3*tan(c + d*x)**2*sec(c + d*x)**3/(105*d) + 3*a**3*tan(c + d*x)**2*sec(c + d*x)**2/(8*d) + 24*a**3*tan(c + d*x)**2*sec(c + d*x)/(35*d) + a**3*tan(c + d*x)**2/(2*d) - 16*a**3*sec(c + d*x)**3/(315*d) - 3*a**3*sec(c + d*x)**2/(8*d) - 48*a**3*sec(c + d*x)/(35*d), Ne(d, 0)), (x*(a*sec(c) + a)**3*tan(c)**7, True))","A",0
39,1,255,0,9.008472," ","integrate((a+a*sec(d*x+c))**3*tan(d*x+c)**5,x)","\begin{cases} \frac{a^{3} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{3} \tan^{4}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{7 d} + \frac{a^{3} \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{2 d} + \frac{3 a^{3} \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{5 d} + \frac{a^{3} \tan^{4}{\left(c + d x \right)}}{4 d} - \frac{4 a^{3} \tan^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{35 d} - \frac{a^{3} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{2 d} - \frac{4 a^{3} \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{5 d} - \frac{a^{3} \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{8 a^{3} \sec^{3}{\left(c + d x \right)}}{105 d} + \frac{a^{3} \sec^{2}{\left(c + d x \right)}}{2 d} + \frac{8 a^{3} \sec{\left(c + d x \right)}}{5 d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{3} \tan^{5}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*log(tan(c + d*x)**2 + 1)/(2*d) + a**3*tan(c + d*x)**4*sec(c + d*x)**3/(7*d) + a**3*tan(c + d*x)**4*sec(c + d*x)**2/(2*d) + 3*a**3*tan(c + d*x)**4*sec(c + d*x)/(5*d) + a**3*tan(c + d*x)**4/(4*d) - 4*a**3*tan(c + d*x)**2*sec(c + d*x)**3/(35*d) - a**3*tan(c + d*x)**2*sec(c + d*x)**2/(2*d) - 4*a**3*tan(c + d*x)**2*sec(c + d*x)/(5*d) - a**3*tan(c + d*x)**2/(2*d) + 8*a**3*sec(c + d*x)**3/(105*d) + a**3*sec(c + d*x)**2/(2*d) + 8*a**3*sec(c + d*x)/(5*d), Ne(d, 0)), (x*(a*sec(c) + a)**3*tan(c)**5, True))","A",0
40,1,165,0,3.239219," ","integrate((a+a*sec(d*x+c))**3*tan(d*x+c)**3,x)","\begin{cases} - \frac{a^{3} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{3} \tan^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{5 d} + \frac{3 a^{3} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{4 d} + \frac{a^{3} \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{d} + \frac{a^{3} \tan^{2}{\left(c + d x \right)}}{2 d} - \frac{2 a^{3} \sec^{3}{\left(c + d x \right)}}{15 d} - \frac{3 a^{3} \sec^{2}{\left(c + d x \right)}}{4 d} - \frac{2 a^{3} \sec{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{3} \tan^{3}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**3*log(tan(c + d*x)**2 + 1)/(2*d) + a**3*tan(c + d*x)**2*sec(c + d*x)**3/(5*d) + 3*a**3*tan(c + d*x)**2*sec(c + d*x)**2/(4*d) + a**3*tan(c + d*x)**2*sec(c + d*x)/d + a**3*tan(c + d*x)**2/(2*d) - 2*a**3*sec(c + d*x)**3/(15*d) - 3*a**3*sec(c + d*x)**2/(4*d) - 2*a**3*sec(c + d*x)/d, Ne(d, 0)), (x*(a*sec(c) + a)**3*tan(c)**3, True))","A",0
41,1,76,0,0.923004," ","integrate((a+a*sec(d*x+c))**3*tan(d*x+c),x)","\begin{cases} \frac{a^{3} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{3} \sec^{3}{\left(c + d x \right)}}{3 d} + \frac{3 a^{3} \sec^{2}{\left(c + d x \right)}}{2 d} + \frac{3 a^{3} \sec{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \sec{\left(c \right)} + a\right)^{3} \tan{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*log(tan(c + d*x)**2 + 1)/(2*d) + a**3*sec(c + d*x)**3/(3*d) + 3*a**3*sec(c + d*x)**2/(2*d) + 3*a**3*sec(c + d*x)/d, Ne(d, 0)), (x*(a*sec(c) + a)**3*tan(c), True))","A",0
42,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+a*sec(d*x+c))**3,x)","a^{3} \left(\int 3 \cot{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 3 \cot{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \cot{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*cot(c + d*x)*sec(c + d*x), x) + Integral(3*cot(c + d*x)*sec(c + d*x)**2, x) + Integral(cot(c + d*x)*sec(c + d*x)**3, x) + Integral(cot(c + d*x), x))","F",0
43,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sec(d*x+c))**3,x)","a^{3} \left(\int 3 \cot^{3}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 3 \cot^{3}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{3}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \cot^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*cot(c + d*x)**3*sec(c + d*x), x) + Integral(3*cot(c + d*x)**3*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**3*sec(c + d*x)**3, x) + Integral(cot(c + d*x)**3, x))","F",0
44,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+a*sec(d*x+c))**3,x)","a^{3} \left(\int 3 \cot^{5}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 3 \cot^{5}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{5}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \cot^{5}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*cot(c + d*x)**5*sec(c + d*x), x) + Integral(3*cot(c + d*x)**5*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**5*sec(c + d*x)**3, x) + Integral(cot(c + d*x)**5, x))","F",0
45,-1,0,0,0.000000," ","integrate(cot(d*x+c)**7*(a+a*sec(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate(cot(d*x+c)**9*(a+a*sec(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**3*tan(d*x+c)**6,x)","a^{3} \left(\int 3 \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 3 \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \tan^{6}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \tan^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*tan(c + d*x)**6*sec(c + d*x), x) + Integral(3*tan(c + d*x)**6*sec(c + d*x)**2, x) + Integral(tan(c + d*x)**6*sec(c + d*x)**3, x) + Integral(tan(c + d*x)**6, x))","F",0
48,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**3*tan(d*x+c)**4,x)","a^{3} \left(\int 3 \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 3 \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \tan^{4}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \tan^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*tan(c + d*x)**4*sec(c + d*x), x) + Integral(3*tan(c + d*x)**4*sec(c + d*x)**2, x) + Integral(tan(c + d*x)**4*sec(c + d*x)**3, x) + Integral(tan(c + d*x)**4, x))","F",0
49,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**3*tan(d*x+c)**2,x)","a^{3} \left(\int 3 \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 3 \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \tan^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \tan^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*tan(c + d*x)**2*sec(c + d*x), x) + Integral(3*tan(c + d*x)**2*sec(c + d*x)**2, x) + Integral(tan(c + d*x)**2*sec(c + d*x)**3, x) + Integral(tan(c + d*x)**2, x))","F",0
50,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sec(d*x+c))**3,x)","a^{3} \left(\int 3 \cot^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 3 \cot^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \cot^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*cot(c + d*x)**2*sec(c + d*x), x) + Integral(3*cot(c + d*x)**2*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**2*sec(c + d*x)**3, x) + Integral(cot(c + d*x)**2, x))","F",0
51,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sec(d*x+c))**3,x)","a^{3} \left(\int 3 \cot^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 3 \cot^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \cot^{4}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \cot^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*cot(c + d*x)**4*sec(c + d*x), x) + Integral(3*cot(c + d*x)**4*sec(c + d*x)**2, x) + Integral(cot(c + d*x)**4*sec(c + d*x)**3, x) + Integral(cot(c + d*x)**4, x))","F",0
52,-1,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+a*sec(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,-1,0,0,0.000000," ","integrate(cot(d*x+c)**8*(a+a*sec(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,-1,0,0,0.000000," ","integrate(cot(d*x+c)**10*(a+a*sec(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate(cot(d*x+c)**12*(a+a*sec(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,0,0,0,0.000000," ","integrate(tan(d*x+c)**9/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\tan^{9}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**9/(sec(c + d*x) + 1), x)/a","F",0
57,0,0,0,0.000000," ","integrate(tan(d*x+c)**7/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\tan^{7}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**7/(sec(c + d*x) + 1), x)/a","F",0
58,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\tan^{5}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**5/(sec(c + d*x) + 1), x)/a","F",0
59,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\tan^{3}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**3/(sec(c + d*x) + 1), x)/a","F",0
60,1,41,0,3.804697," ","integrate(tan(d*x+c)/(a+a*sec(d*x+c)),x)","\begin{cases} \frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 a d} - \frac{\log{\left(\sec{\left(c + d x \right)} + 1 \right)}}{a d} & \text{for}\: d \neq 0 \\\frac{x \tan{\left(c \right)}}{a \sec{\left(c \right)} + a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(tan(c + d*x)**2 + 1)/(2*a*d) - log(sec(c + d*x) + 1)/(a*d), Ne(d, 0)), (x*tan(c)/(a*sec(c) + a), True))","A",0
61,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\cot{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)/(sec(c + d*x) + 1), x)/a","F",0
62,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\cot^{3}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**3/(sec(c + d*x) + 1), x)/a","F",0
63,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\cot^{5}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**5/(sec(c + d*x) + 1), x)/a","F",0
64,0,0,0,0.000000," ","integrate(tan(d*x+c)**8/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\tan^{8}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**8/(sec(c + d*x) + 1), x)/a","F",0
65,0,0,0,0.000000," ","integrate(tan(d*x+c)**6/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\tan^{6}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**6/(sec(c + d*x) + 1), x)/a","F",0
66,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\tan^{4}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**4/(sec(c + d*x) + 1), x)/a","F",0
67,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\tan^{2}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**2/(sec(c + d*x) + 1), x)/a","F",0
68,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\cot^{2}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**2/(sec(c + d*x) + 1), x)/a","F",0
69,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\cot^{4}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**4/(sec(c + d*x) + 1), x)/a","F",0
70,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\cot^{6}{\left(c + d x \right)}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**6/(sec(c + d*x) + 1), x)/a","F",0
71,0,0,0,0.000000," ","integrate(tan(d*x+c)**9/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\tan^{9}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**9/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
72,0,0,0,0.000000," ","integrate(tan(d*x+c)**7/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\tan^{7}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**7/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
73,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\tan^{5}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**5/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
74,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\tan^{3}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**3/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
75,1,177,0,19.470647," ","integrate(tan(d*x+c)/(a+a*sec(d*x+c))**2,x)","\begin{cases} \frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)} \sec{\left(c + d x \right)}}{2 a^{2} d \sec{\left(c + d x \right)} + 2 a^{2} d} + \frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 a^{2} d \sec{\left(c + d x \right)} + 2 a^{2} d} - \frac{2 \log{\left(\sec{\left(c + d x \right)} + 1 \right)} \sec{\left(c + d x \right)}}{2 a^{2} d \sec{\left(c + d x \right)} + 2 a^{2} d} - \frac{2 \log{\left(\sec{\left(c + d x \right)} + 1 \right)}}{2 a^{2} d \sec{\left(c + d x \right)} + 2 a^{2} d} + \frac{2}{2 a^{2} d \sec{\left(c + d x \right)} + 2 a^{2} d} & \text{for}\: d \neq 0 \\\frac{x \tan{\left(c \right)}}{\left(a \sec{\left(c \right)} + a\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(tan(c + d*x)**2 + 1)*sec(c + d*x)/(2*a**2*d*sec(c + d*x) + 2*a**2*d) + log(tan(c + d*x)**2 + 1)/(2*a**2*d*sec(c + d*x) + 2*a**2*d) - 2*log(sec(c + d*x) + 1)*sec(c + d*x)/(2*a**2*d*sec(c + d*x) + 2*a**2*d) - 2*log(sec(c + d*x) + 1)/(2*a**2*d*sec(c + d*x) + 2*a**2*d) + 2/(2*a**2*d*sec(c + d*x) + 2*a**2*d), Ne(d, 0)), (x*tan(c)/(a*sec(c) + a)**2, True))","A",0
76,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\cot{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
77,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\cot^{3}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)**3/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
78,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\cot^{5}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)**5/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
79,0,0,0,0.000000," ","integrate(tan(d*x+c)**8/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\tan^{8}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**8/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
80,0,0,0,0.000000," ","integrate(tan(d*x+c)**6/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\tan^{6}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**6/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
81,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\tan^{4}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**4/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
82,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\tan^{2}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**2/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
83,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\cot^{2}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)**2/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
84,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\cot^{4}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)**4/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
85,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\cot^{6}{\left(c + d x \right)}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)**6/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
86,0,0,0,0.000000," ","integrate(tan(d*x+c)**11/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{11}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**11/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
87,0,0,0,0.000000," ","integrate(tan(d*x+c)**9/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{9}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**9/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
88,0,0,0,0.000000," ","integrate(tan(d*x+c)**7/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{7}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**7/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
89,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{5}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**5/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
90,1,457,0,23.814682," ","integrate(tan(d*x+c)**3/(a+a*sec(d*x+c))**3,x)","\begin{cases} - \frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)} \sec^{2}{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} - \frac{2 \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)} \sec{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} - \frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} + \frac{2 \log{\left(\sec{\left(c + d x \right)} + 1 \right)} \sec^{2}{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} + \frac{4 \log{\left(\sec{\left(c + d x \right)} + 1 \right)} \sec{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} + \frac{2 \log{\left(\sec{\left(c + d x \right)} + 1 \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} + \frac{\tan^{2}{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} - \frac{2 \sec{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} - \frac{2}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} & \text{for}\: d \neq 0 \\\frac{x \tan^{3}{\left(c \right)}}{\left(a \sec{\left(c \right)} + a\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-log(tan(c + d*x)**2 + 1)*sec(c + d*x)**2/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) - 2*log(tan(c + d*x)**2 + 1)*sec(c + d*x)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) - log(tan(c + d*x)**2 + 1)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) + 2*log(sec(c + d*x) + 1)*sec(c + d*x)**2/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) + 4*log(sec(c + d*x) + 1)*sec(c + d*x)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) + 2*log(sec(c + d*x) + 1)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) + tan(c + d*x)**2/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) - 2*sec(c + d*x)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) - 2/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d), Ne(d, 0)), (x*tan(c)**3/(a*sec(c) + a)**3, True))","A",0
91,1,411,0,23.676840," ","integrate(tan(d*x+c)/(a+a*sec(d*x+c))**3,x)","\begin{cases} \frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)} \sec^{2}{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} + \frac{2 \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)} \sec{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} + \frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} - \frac{2 \log{\left(\sec{\left(c + d x \right)} + 1 \right)} \sec^{2}{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} - \frac{4 \log{\left(\sec{\left(c + d x \right)} + 1 \right)} \sec{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} - \frac{2 \log{\left(\sec{\left(c + d x \right)} + 1 \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} + \frac{2 \sec{\left(c + d x \right)}}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} + \frac{3}{2 a^{3} d \sec^{2}{\left(c + d x \right)} + 4 a^{3} d \sec{\left(c + d x \right)} + 2 a^{3} d} & \text{for}\: d \neq 0 \\\frac{x \tan{\left(c \right)}}{\left(a \sec{\left(c \right)} + a\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(tan(c + d*x)**2 + 1)*sec(c + d*x)**2/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) + 2*log(tan(c + d*x)**2 + 1)*sec(c + d*x)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) + log(tan(c + d*x)**2 + 1)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) - 2*log(sec(c + d*x) + 1)*sec(c + d*x)**2/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) - 4*log(sec(c + d*x) + 1)*sec(c + d*x)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) - 2*log(sec(c + d*x) + 1)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) + 2*sec(c + d*x)/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d) + 3/(2*a**3*d*sec(c + d*x)**2 + 4*a**3*d*sec(c + d*x) + 2*a**3*d), Ne(d, 0)), (x*tan(c)/(a*sec(c) + a)**3, True))","A",0
92,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\cot{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
93,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\cot^{3}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)**3/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
94,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\cot^{5}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)**5/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
95,0,0,0,0.000000," ","integrate(tan(d*x+c)**12/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{12}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**12/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
96,0,0,0,0.000000," ","integrate(tan(d*x+c)**10/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{10}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**10/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
97,0,0,0,0.000000," ","integrate(tan(d*x+c)**8/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{8}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**8/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
98,0,0,0,0.000000," ","integrate(tan(d*x+c)**6/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{6}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**6/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
99,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{4}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**4/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
100,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\tan^{2}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**2/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
101,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\cot^{2}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)**2/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
102,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\cot^{4}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)**4/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
103,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\cot^{6}{\left(c + d x \right)}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)**6/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
104,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))*(e*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))*(e*tan(d*x+c))**(3/2),x)","a \left(\int \left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}\, dx + \int \left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}} \sec{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral((e*tan(c + d*x))**(3/2), x) + Integral((e*tan(c + d*x))**(3/2)*sec(c + d*x), x))","F",0
106,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))*(e*tan(d*x+c))**(1/2),x)","a \left(\int \sqrt{e \tan{\left(c + d x \right)}}\, dx + \int \sqrt{e \tan{\left(c + d x \right)}} \sec{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sqrt(e*tan(c + d*x)), x) + Integral(sqrt(e*tan(c + d*x))*sec(c + d*x), x))","F",0
107,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))/(e*tan(d*x+c))**(1/2),x)","a \left(\int \frac{1}{\sqrt{e \tan{\left(c + d x \right)}}}\, dx + \int \frac{\sec{\left(c + d x \right)}}{\sqrt{e \tan{\left(c + d x \right)}}}\, dx\right)"," ",0,"a*(Integral(1/sqrt(e*tan(c + d*x)), x) + Integral(sec(c + d*x)/sqrt(e*tan(c + d*x)), x))","F",0
108,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))/(e*tan(d*x+c))**(3/2),x)","a \left(\int \frac{1}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \frac{\sec{\left(c + d x \right)}}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx\right)"," ",0,"a*(Integral((e*tan(c + d*x))**(-3/2), x) + Integral(sec(c + d*x)/(e*tan(c + d*x))**(3/2), x))","F",0
109,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))/(e*tan(d*x+c))**(5/2),x)","a \left(\int \frac{1}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx + \int \frac{\sec{\left(c + d x \right)}}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx\right)"," ",0,"a*(Integral((e*tan(c + d*x))**(-5/2), x) + Integral(sec(c + d*x)/(e*tan(c + d*x))**(5/2), x))","F",0
110,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))/(e*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
111,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2*(e*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2*(e*tan(d*x+c))**(3/2),x)","a^{2} \left(\int \left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}\, dx + \int 2 \left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}} \sec{\left(c + d x \right)}\, dx + \int \left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}} \sec^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral((e*tan(c + d*x))**(3/2), x) + Integral(2*(e*tan(c + d*x))**(3/2)*sec(c + d*x), x) + Integral((e*tan(c + d*x))**(3/2)*sec(c + d*x)**2, x))","F",0
113,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2*(e*tan(d*x+c))**(1/2),x)","a^{2} \left(\int \sqrt{e \tan{\left(c + d x \right)}}\, dx + \int 2 \sqrt{e \tan{\left(c + d x \right)}} \sec{\left(c + d x \right)}\, dx + \int \sqrt{e \tan{\left(c + d x \right)}} \sec^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(sqrt(e*tan(c + d*x)), x) + Integral(2*sqrt(e*tan(c + d*x))*sec(c + d*x), x) + Integral(sqrt(e*tan(c + d*x))*sec(c + d*x)**2, x))","F",0
114,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2/(e*tan(d*x+c))**(1/2),x)","a^{2} \left(\int \frac{1}{\sqrt{e \tan{\left(c + d x \right)}}}\, dx + \int \frac{2 \sec{\left(c + d x \right)}}{\sqrt{e \tan{\left(c + d x \right)}}}\, dx + \int \frac{\sec^{2}{\left(c + d x \right)}}{\sqrt{e \tan{\left(c + d x \right)}}}\, dx\right)"," ",0,"a**2*(Integral(1/sqrt(e*tan(c + d*x)), x) + Integral(2*sec(c + d*x)/sqrt(e*tan(c + d*x)), x) + Integral(sec(c + d*x)**2/sqrt(e*tan(c + d*x)), x))","F",0
115,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2/(e*tan(d*x+c))**(3/2),x)","a^{2} \left(\int \frac{1}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \frac{2 \sec{\left(c + d x \right)}}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \frac{\sec^{2}{\left(c + d x \right)}}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx\right)"," ",0,"a**2*(Integral((e*tan(c + d*x))**(-3/2), x) + Integral(2*sec(c + d*x)/(e*tan(c + d*x))**(3/2), x) + Integral(sec(c + d*x)**2/(e*tan(c + d*x))**(3/2), x))","F",0
116,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2/(e*tan(d*x+c))**(5/2),x)","a^{2} \left(\int \frac{1}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx + \int \frac{2 \sec{\left(c + d x \right)}}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx + \int \frac{\sec^{2}{\left(c + d x \right)}}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx\right)"," ",0,"a**2*(Integral((e*tan(c + d*x))**(-5/2), x) + Integral(2*sec(c + d*x)/(e*tan(c + d*x))**(5/2), x) + Integral(sec(c + d*x)**2/(e*tan(c + d*x))**(5/2), x))","F",0
117,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2/(e*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate((e*tan(d*x+c))**(11/2)/(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,-1,0,0,0.000000," ","integrate((e*tan(d*x+c))**(9/2)/(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-1,0,0,0.000000," ","integrate((e*tan(d*x+c))**(7/2)/(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**(5/2)/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral((e*tan(c + d*x))**(5/2)/(sec(c + d*x) + 1), x)/a","F",0
122,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**(3/2)/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral((e*tan(c + d*x))**(3/2)/(sec(c + d*x) + 1), x)/a","F",0
123,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**(1/2)/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\sqrt{e \tan{\left(c + d x \right)}}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(sqrt(e*tan(c + d*x))/(sec(c + d*x) + 1), x)/a","F",0
124,0,0,0,0.000000," ","integrate(1/(a+a*sec(d*x+c))/(e*tan(d*x+c))**(1/2),x)","\frac{\int \frac{1}{\sqrt{e \tan{\left(c + d x \right)}} \sec{\left(c + d x \right)} + \sqrt{e \tan{\left(c + d x \right)}}}\, dx}{a}"," ",0,"Integral(1/(sqrt(e*tan(c + d*x))*sec(c + d*x) + sqrt(e*tan(c + d*x))), x)/a","F",0
125,0,0,0,0.000000," ","integrate(1/(a+a*sec(d*x+c))/(e*tan(d*x+c))**(3/2),x)","\frac{\int \frac{1}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}} \sec{\left(c + d x \right)} + \left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx}{a}"," ",0,"Integral(1/((e*tan(c + d*x))**(3/2)*sec(c + d*x) + (e*tan(c + d*x))**(3/2)), x)/a","F",0
126,0,0,0,0.000000," ","integrate(1/(a+a*sec(d*x+c))/(e*tan(d*x+c))**(5/2),x)","\frac{\int \frac{1}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}} \sec{\left(c + d x \right)} + \left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx}{a}"," ",0,"Integral(1/((e*tan(c + d*x))**(5/2)*sec(c + d*x) + (e*tan(c + d*x))**(5/2)), x)/a","F",0
127,-1,0,0,0.000000," ","integrate((e*tan(d*x+c))**(13/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-1,0,0,0.000000," ","integrate((e*tan(d*x+c))**(11/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate((e*tan(d*x+c))**(9/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate((e*tan(d*x+c))**(7/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate((e*tan(d*x+c))**(5/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**(3/2)/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral((e*tan(c + d*x))**(3/2)/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
133,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**(1/2)/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\sqrt{e \tan{\left(c + d x \right)}}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(sqrt(e*tan(c + d*x))/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
134,0,0,0,0.000000," ","integrate(1/(a+a*sec(d*x+c))**2/(e*tan(d*x+c))**(1/2),x)","\frac{\int \frac{1}{\sqrt{e \tan{\left(c + d x \right)}} \sec^{2}{\left(c + d x \right)} + 2 \sqrt{e \tan{\left(c + d x \right)}} \sec{\left(c + d x \right)} + \sqrt{e \tan{\left(c + d x \right)}}}\, dx}{a^{2}}"," ",0,"Integral(1/(sqrt(e*tan(c + d*x))*sec(c + d*x)**2 + 2*sqrt(e*tan(c + d*x))*sec(c + d*x) + sqrt(e*tan(c + d*x))), x)/a**2","F",0
135,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(1/2)*tan(d*x+c)**5,x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \tan^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*tan(c + d*x)**5, x)","F",0
136,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(1/2)*tan(d*x+c)**3,x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \tan^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*tan(c + d*x)**3, x)","F",0
137,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(1/2)*tan(d*x+c),x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \tan{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*tan(c + d*x), x)","F",0
138,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+a*sec(d*x+c))**(1/2),x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \cot{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*cot(c + d*x), x)","F",0
139,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sec(d*x+c))**(1/2),x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \cot^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*cot(c + d*x)**3, x)","F",0
140,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+a*sec(d*x+c))**(1/2),x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \cot^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*cot(c + d*x)**5, x)","F",0
141,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(1/2)*tan(d*x+c)**6,x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \tan^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*tan(c + d*x)**6, x)","F",0
142,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(1/2)*tan(d*x+c)**4,x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \tan^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*tan(c + d*x)**4, x)","F",0
143,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(1/2)*tan(d*x+c)**2,x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*tan(c + d*x)**2, x)","F",0
144,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sec(d*x+c))**(1/2),x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*cot(c + d*x)**2, x)","F",0
145,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sec(d*x+c))**(1/2),x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \cot^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*cot(c + d*x)**4, x)","F",0
146,0,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+a*sec(d*x+c))**(1/2),x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \cot^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*cot(c + d*x)**6, x)","F",0
147,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(3/2)*tan(d*x+c)**5,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}} \tan^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(3/2)*tan(c + d*x)**5, x)","F",0
148,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(3/2)*tan(d*x+c)**3,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}} \tan^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(3/2)*tan(c + d*x)**3, x)","F",0
149,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(3/2)*tan(d*x+c),x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}} \tan{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(3/2)*tan(c + d*x), x)","F",0
150,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+a*sec(d*x+c))**(3/2),x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}} \cot{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(3/2)*cot(c + d*x), x)","F",0
151,-1,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sec(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,-1,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+a*sec(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
153,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(3/2)*tan(d*x+c)**6,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}} \tan^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(3/2)*tan(c + d*x)**6, x)","F",0
154,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(3/2)*tan(d*x+c)**4,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}} \tan^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(3/2)*tan(c + d*x)**4, x)","F",0
155,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(3/2)*tan(d*x+c)**2,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}} \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(3/2)*tan(c + d*x)**2, x)","F",0
156,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sec(d*x+c))**(3/2),x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}} \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(3/2)*cot(c + d*x)**2, x)","F",0
157,-1,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sec(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,-1,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+a*sec(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
159,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(5/2)*tan(d*x+c)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
160,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(5/2)*tan(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
161,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(5/2)*tan(d*x+c),x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}} \tan{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(5/2)*tan(c + d*x), x)","F",0
162,-1,0,0,0.000000," ","integrate(cot(d*x+c)*(a+a*sec(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,-1,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sec(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
164,-1,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+a*sec(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(5/2)*tan(d*x+c)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(5/2)*tan(d*x+c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(5/2)*tan(d*x+c)**2,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}} \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(5/2)*tan(c + d*x)**2, x)","F",0
168,-1,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sec(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-1,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sec(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+a*sec(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(c + d*x)**5/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
172,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(c + d*x)**3/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
173,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\tan{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(c + d*x)/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
174,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\cot{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(c + d*x)/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
175,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(c + d*x)**3/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
176,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\cot^{5}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(c + d*x)**5/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
177,0,0,0,0.000000," ","integrate(tan(d*x+c)**6/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\tan^{6}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(c + d*x)**6/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
178,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(c + d*x)**4/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
179,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(c + d*x)**2/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
180,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(c + d*x)**2/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
181,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\cot^{4}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(c + d*x)**4/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
182,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\cot^{6}{\left(c + d x \right)}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(c + d*x)**6/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
183,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**5/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
184,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**3/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
185,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\tan{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
186,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\cot{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
187,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**3/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
188,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\cot^{5}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**5/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
189,0,0,0,0.000000," ","integrate(tan(d*x+c)**6/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\tan^{6}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**6/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
190,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**4/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
191,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**2/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
192,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**2/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
193,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\cot^{4}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**4/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
194,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\cot^{6}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**6/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
195,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**5/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
196,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**3/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
197,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\tan{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
198,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\cot{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
199,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**3/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
200,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\cot^{5}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**5/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
201,0,0,0,0.000000," ","integrate(tan(d*x+c)**6/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\tan^{6}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**6/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
202,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**4/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
203,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**2/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
204,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**2/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
205,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\cot^{4}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**4/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
206,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+a*sec(d*x+c))**(5/2),x)","\int \frac{\cot^{6}{\left(c + d x \right)}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**6/(a*(sec(c + d*x) + 1))**(5/2), x)","F",0
207,-1,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+a*sec(f*x+e))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
208,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n*(e*tan(d*x+c))**m,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \left(e \tan{\left(c + d x \right)}\right)^{m}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*(e*tan(c + d*x))**m, x)","F",0
209,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**3*(e*tan(d*x+c))**m,x)","a^{3} \left(\int \left(e \tan{\left(c + d x \right)}\right)^{m}\, dx + \int 3 \left(e \tan{\left(c + d x \right)}\right)^{m} \sec{\left(c + d x \right)}\, dx + \int 3 \left(e \tan{\left(c + d x \right)}\right)^{m} \sec^{2}{\left(c + d x \right)}\, dx + \int \left(e \tan{\left(c + d x \right)}\right)^{m} \sec^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral((e*tan(c + d*x))**m, x) + Integral(3*(e*tan(c + d*x))**m*sec(c + d*x), x) + Integral(3*(e*tan(c + d*x))**m*sec(c + d*x)**2, x) + Integral((e*tan(c + d*x))**m*sec(c + d*x)**3, x))","F",0
210,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2*(e*tan(d*x+c))**m,x)","a^{2} \left(\int \left(e \tan{\left(c + d x \right)}\right)^{m}\, dx + \int 2 \left(e \tan{\left(c + d x \right)}\right)^{m} \sec{\left(c + d x \right)}\, dx + \int \left(e \tan{\left(c + d x \right)}\right)^{m} \sec^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral((e*tan(c + d*x))**m, x) + Integral(2*(e*tan(c + d*x))**m*sec(c + d*x), x) + Integral((e*tan(c + d*x))**m*sec(c + d*x)**2, x))","F",0
211,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))*(e*tan(d*x+c))**m,x)","a \left(\int \left(e \tan{\left(c + d x \right)}\right)^{m}\, dx + \int \left(e \tan{\left(c + d x \right)}\right)^{m} \sec{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral((e*tan(c + d*x))**m, x) + Integral((e*tan(c + d*x))**m*sec(c + d*x), x))","F",0
212,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**m/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{m}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral((e*tan(c + d*x))**m/(sec(c + d*x) + 1), x)/a","F",0
213,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**m/(a+a*sec(d*x+c))**2,x)","\frac{\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{m}}{\sec^{2}{\left(c + d x \right)} + 2 \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral((e*tan(c + d*x))**m/(sec(c + d*x)**2 + 2*sec(c + d*x) + 1), x)/a**2","F",0
214,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**m/(a+a*sec(d*x+c))**3,x)","\frac{\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{m}}{\sec^{3}{\left(c + d x \right)} + 3 \sec^{2}{\left(c + d x \right)} + 3 \sec{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral((e*tan(c + d*x))**m/(sec(c + d*x)**3 + 3*sec(c + d*x)**2 + 3*sec(c + d*x) + 1), x)/a**3","F",0
215,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(3/2)*(e*tan(d*x+c))**m,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}} \left(e \tan{\left(c + d x \right)}\right)^{m}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**(3/2)*(e*tan(c + d*x))**m, x)","F",0
216,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**(1/2)*(e*tan(d*x+c))**m,x)","\int \sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)} \left(e \tan{\left(c + d x \right)}\right)^{m}\, dx"," ",0,"Integral(sqrt(a*(sec(c + d*x) + 1))*(e*tan(c + d*x))**m, x)","F",0
217,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**m/(a+a*sec(d*x+c))**(1/2),x)","\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{m}}{\sqrt{a \left(\sec{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral((e*tan(c + d*x))**m/sqrt(a*(sec(c + d*x) + 1)), x)","F",0
218,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**m/(a+a*sec(d*x+c))**(3/2),x)","\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{m}}{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e*tan(c + d*x))**m/(a*(sec(c + d*x) + 1))**(3/2), x)","F",0
219,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n*tan(d*x+c)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n*tan(d*x+c)**5,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \tan^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*tan(c + d*x)**5, x)","F",0
221,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n*tan(d*x+c)**3,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \tan^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*tan(c + d*x)**3, x)","F",0
222,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n*tan(d*x+c),x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \tan{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*tan(c + d*x), x)","F",0
223,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+a*sec(d*x+c))**n,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \cot{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*cot(c + d*x), x)","F",0
224,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sec(d*x+c))**n,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \cot^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*cot(c + d*x)**3, x)","F",0
225,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n*tan(d*x+c)**4,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \tan^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*tan(c + d*x)**4, x)","F",0
226,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n*tan(d*x+c)**2,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*tan(c + d*x)**2, x)","F",0
227,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sec(d*x+c))**n,x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*cot(c + d*x)**2, x)","F",0
228,-1,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sec(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
229,-1,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n*tan(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
230,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n*tan(d*x+c)**(1/2),x)","\int \left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n} \sqrt{\tan{\left(c + d x \right)}}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n*sqrt(tan(c + d*x)), x)","F",0
231,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n/tan(d*x+c)**(1/2),x)","\int \frac{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n}}{\sqrt{\tan{\left(c + d x \right)}}}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n/sqrt(tan(c + d*x)), x)","F",0
232,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**n/tan(d*x+c)**(3/2),x)","\int \frac{\left(a \left(\sec{\left(c + d x \right)} + 1\right)\right)^{n}}{\tan^{\frac{3}{2}}{\left(c + d x \right)}}\, dx"," ",0,"Integral((a*(sec(c + d*x) + 1))**n/tan(c + d*x)**(3/2), x)","F",0
233,-1,0,0,0.000000," ","integrate((e*cot(d*x+c))**(5/2)*(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,-1,0,0,0.000000," ","integrate((e*cot(d*x+c))**(3/2)*(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))*(e*cot(d*x+c))**(1/2),x)","a \left(\int \sqrt{e \cot{\left(c + d x \right)}}\, dx + \int \sqrt{e \cot{\left(c + d x \right)}} \sec{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sqrt(e*cot(c + d*x)), x) + Integral(sqrt(e*cot(c + d*x))*sec(c + d*x), x))","F",0
236,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))/(e*cot(d*x+c))**(1/2),x)","a \left(\int \frac{1}{\sqrt{e \cot{\left(c + d x \right)}}}\, dx + \int \frac{\sec{\left(c + d x \right)}}{\sqrt{e \cot{\left(c + d x \right)}}}\, dx\right)"," ",0,"a*(Integral(1/sqrt(e*cot(c + d*x)), x) + Integral(sec(c + d*x)/sqrt(e*cot(c + d*x)), x))","F",0
237,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))/(e*cot(d*x+c))**(3/2),x)","a \left(\int \frac{1}{\left(e \cot{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \frac{\sec{\left(c + d x \right)}}{\left(e \cot{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx\right)"," ",0,"a*(Integral((e*cot(c + d*x))**(-3/2), x) + Integral(sec(c + d*x)/(e*cot(c + d*x))**(3/2), x))","F",0
238,-1,0,0,0.000000," ","integrate((e*cot(d*x+c))**(5/2)*(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate((e*cot(d*x+c))**(3/2)*(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2*(e*cot(d*x+c))**(1/2),x)","a^{2} \left(\int \sqrt{e \cot{\left(c + d x \right)}}\, dx + \int 2 \sqrt{e \cot{\left(c + d x \right)}} \sec{\left(c + d x \right)}\, dx + \int \sqrt{e \cot{\left(c + d x \right)}} \sec^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(sqrt(e*cot(c + d*x)), x) + Integral(2*sqrt(e*cot(c + d*x))*sec(c + d*x), x) + Integral(sqrt(e*cot(c + d*x))*sec(c + d*x)**2, x))","F",0
241,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2/(e*cot(d*x+c))**(1/2),x)","a^{2} \left(\int \frac{1}{\sqrt{e \cot{\left(c + d x \right)}}}\, dx + \int \frac{2 \sec{\left(c + d x \right)}}{\sqrt{e \cot{\left(c + d x \right)}}}\, dx + \int \frac{\sec^{2}{\left(c + d x \right)}}{\sqrt{e \cot{\left(c + d x \right)}}}\, dx\right)"," ",0,"a**2*(Integral(1/sqrt(e*cot(c + d*x)), x) + Integral(2*sec(c + d*x)/sqrt(e*cot(c + d*x)), x) + Integral(sec(c + d*x)**2/sqrt(e*cot(c + d*x)), x))","F",0
242,0,0,0,0.000000," ","integrate((a+a*sec(d*x+c))**2/(e*cot(d*x+c))**(3/2),x)","a^{2} \left(\int \frac{1}{\left(e \cot{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \frac{2 \sec{\left(c + d x \right)}}{\left(e \cot{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \frac{\sec^{2}{\left(c + d x \right)}}{\left(e \cot{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx\right)"," ",0,"a**2*(Integral((e*cot(c + d*x))**(-3/2), x) + Integral(2*sec(c + d*x)/(e*cot(c + d*x))**(3/2), x) + Integral(sec(c + d*x)**2/(e*cot(c + d*x))**(3/2), x))","F",0
243,0,0,0,0.000000," ","integrate((e*cot(d*x+c))**(3/2)/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\left(e \cot{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral((e*cot(c + d*x))**(3/2)/(sec(c + d*x) + 1), x)/a","F",0
244,0,0,0,0.000000," ","integrate((e*cot(d*x+c))**(1/2)/(a+a*sec(d*x+c)),x)","\frac{\int \frac{\sqrt{e \cot{\left(c + d x \right)}}}{\sec{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(sqrt(e*cot(c + d*x))/(sec(c + d*x) + 1), x)/a","F",0
245,0,0,0,0.000000," ","integrate(1/(a+a*sec(d*x+c))/(e*cot(d*x+c))**(1/2),x)","\frac{\int \frac{1}{\sqrt{e \cot{\left(c + d x \right)}} \sec{\left(c + d x \right)} + \sqrt{e \cot{\left(c + d x \right)}}}\, dx}{a}"," ",0,"Integral(1/(sqrt(e*cot(c + d*x))*sec(c + d*x) + sqrt(e*cot(c + d*x))), x)/a","F",0
246,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))**(3/2)/(a+a*sec(d*x+c)),x)","\frac{\int \frac{1}{\left(e \cot{\left(c + d x \right)}\right)^{\frac{3}{2}} \sec{\left(c + d x \right)} + \left(e \cot{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx}{a}"," ",0,"Integral(1/((e*cot(c + d*x))**(3/2)*sec(c + d*x) + (e*cot(c + d*x))**(3/2)), x)/a","F",0
247,-1,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))**(5/2)/(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))**(7/2)/(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,-1,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))**(9/2)/(a+a*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
250,0,0,0,0.000000," ","integrate(1/(a+a*sec(d*x+c))**2/(e*cot(d*x+c))**(1/2),x)","\frac{\int \frac{1}{\sqrt{e \cot{\left(c + d x \right)}} \sec^{2}{\left(c + d x \right)} + 2 \sqrt{e \cot{\left(c + d x \right)}} \sec{\left(c + d x \right)} + \sqrt{e \cot{\left(c + d x \right)}}}\, dx}{a^{2}}"," ",0,"Integral(1/(sqrt(e*cot(c + d*x))*sec(c + d*x)**2 + 2*sqrt(e*cot(c + d*x))*sec(c + d*x) + sqrt(e*cot(c + d*x))), x)/a**2","F",0
251,-1,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))**(3/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
252,-1,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))**(5/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
253,-1,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))**(7/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
254,-1,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))**(9/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
255,-1,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))**(11/2)/(a+a*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,1,148,0,8.483774," ","integrate((a+b*sec(d*x+c))*tan(d*x+c)**7,x)","\begin{cases} - \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a \tan^{6}{\left(c + d x \right)}}{6 d} - \frac{a \tan^{4}{\left(c + d x \right)}}{4 d} + \frac{a \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{b \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{7 d} - \frac{6 b \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} + \frac{8 b \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} - \frac{16 b \sec{\left(c + d x \right)}}{35 d} & \text{for}\: d \neq 0 \\x \left(a + b \sec{\left(c \right)}\right) \tan^{7}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*log(tan(c + d*x)**2 + 1)/(2*d) + a*tan(c + d*x)**6/(6*d) - a*tan(c + d*x)**4/(4*d) + a*tan(c + d*x)**2/(2*d) + b*tan(c + d*x)**6*sec(c + d*x)/(7*d) - 6*b*tan(c + d*x)**4*sec(c + d*x)/(35*d) + 8*b*tan(c + d*x)**2*sec(c + d*x)/(35*d) - 16*b*sec(c + d*x)/(35*d), Ne(d, 0)), (x*(a + b*sec(c))*tan(c)**7, True))","A",0
257,1,112,0,3.128330," ","integrate((a+b*sec(d*x+c))*tan(d*x+c)**5,x)","\begin{cases} \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a \tan^{4}{\left(c + d x \right)}}{4 d} - \frac{a \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{b \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{5 d} - \frac{4 b \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{15 d} + \frac{8 b \sec{\left(c + d x \right)}}{15 d} & \text{for}\: d \neq 0 \\x \left(a + b \sec{\left(c \right)}\right) \tan^{5}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(tan(c + d*x)**2 + 1)/(2*d) + a*tan(c + d*x)**4/(4*d) - a*tan(c + d*x)**2/(2*d) + b*tan(c + d*x)**4*sec(c + d*x)/(5*d) - 4*b*tan(c + d*x)**2*sec(c + d*x)/(15*d) + 8*b*sec(c + d*x)/(15*d), Ne(d, 0)), (x*(a + b*sec(c))*tan(c)**5, True))","A",0
258,1,76,0,0.915398," ","integrate((a+b*sec(d*x+c))*tan(d*x+c)**3,x)","\begin{cases} - \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{b \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{3 d} - \frac{2 b \sec{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\x \left(a + b \sec{\left(c \right)}\right) \tan^{3}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*log(tan(c + d*x)**2 + 1)/(2*d) + a*tan(c + d*x)**2/(2*d) + b*tan(c + d*x)**2*sec(c + d*x)/(3*d) - 2*b*sec(c + d*x)/(3*d), Ne(d, 0)), (x*(a + b*sec(c))*tan(c)**3, True))","A",0
259,1,37,0,0.262487," ","integrate((a+b*sec(d*x+c))*tan(d*x+c),x)","\begin{cases} \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{b \sec{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \sec{\left(c \right)}\right) \tan{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(tan(c + d*x)**2 + 1)/(2*d) + b*sec(c + d*x)/d, Ne(d, 0)), (x*(a + b*sec(c))*tan(c), True))","A",0
260,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*sec(d*x+c)),x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \cot{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*cot(c + d*x), x)","F",0
261,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+b*sec(d*x+c)),x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \cot^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*cot(c + d*x)**3, x)","F",0
262,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+b*sec(d*x+c)),x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \cot^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*cot(c + d*x)**5, x)","F",0
263,0,0,0,0.000000," ","integrate(cot(d*x+c)**7*(a+b*sec(d*x+c)),x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \cot^{7}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*cot(c + d*x)**7, x)","F",0
264,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))*tan(d*x+c)**6,x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \tan^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*tan(c + d*x)**6, x)","F",0
265,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))*tan(d*x+c)**4,x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \tan^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*tan(c + d*x)**4, x)","F",0
266,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))*tan(d*x+c)**2,x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*tan(c + d*x)**2, x)","F",0
267,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+b*sec(d*x+c)),x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*cot(c + d*x)**2, x)","F",0
268,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+b*sec(d*x+c)),x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \cot^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*cot(c + d*x)**4, x)","F",0
269,0,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+b*sec(d*x+c)),x)","\int \left(a + b \sec{\left(c + d x \right)}\right) \cot^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))*cot(c + d*x)**6, x)","F",0
270,-1,0,0,0.000000," ","integrate(cot(d*x+c)**8*(a+b*sec(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
271,1,314,0,34.471059," ","integrate((a+b*sec(d*x+c))**2*tan(d*x+c)**9,x)","\begin{cases} \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{2} \tan^{8}{\left(c + d x \right)}}{8 d} - \frac{a^{2} \tan^{6}{\left(c + d x \right)}}{6 d} + \frac{a^{2} \tan^{4}{\left(c + d x \right)}}{4 d} - \frac{a^{2} \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{2 a b \tan^{8}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{9 d} - \frac{16 a b \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{63 d} + \frac{32 a b \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{105 d} - \frac{128 a b \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{315 d} + \frac{256 a b \sec{\left(c + d x \right)}}{315 d} + \frac{b^{2} \tan^{8}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} - \frac{b^{2} \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} + \frac{b^{2} \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} - \frac{b^{2} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{10 d} + \frac{b^{2} \sec^{2}{\left(c + d x \right)}}{10 d} & \text{for}\: d \neq 0 \\x \left(a + b \sec{\left(c \right)}\right)^{2} \tan^{9}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*log(tan(c + d*x)**2 + 1)/(2*d) + a**2*tan(c + d*x)**8/(8*d) - a**2*tan(c + d*x)**6/(6*d) + a**2*tan(c + d*x)**4/(4*d) - a**2*tan(c + d*x)**2/(2*d) + 2*a*b*tan(c + d*x)**8*sec(c + d*x)/(9*d) - 16*a*b*tan(c + d*x)**6*sec(c + d*x)/(63*d) + 32*a*b*tan(c + d*x)**4*sec(c + d*x)/(105*d) - 128*a*b*tan(c + d*x)**2*sec(c + d*x)/(315*d) + 256*a*b*sec(c + d*x)/(315*d) + b**2*tan(c + d*x)**8*sec(c + d*x)**2/(10*d) - b**2*tan(c + d*x)**6*sec(c + d*x)**2/(10*d) + b**2*tan(c + d*x)**4*sec(c + d*x)**2/(10*d) - b**2*tan(c + d*x)**2*sec(c + d*x)**2/(10*d) + b**2*sec(c + d*x)**2/(10*d), Ne(d, 0)), (x*(a + b*sec(c))**2*tan(c)**9, True))","A",0
272,1,252,0,14.239658," ","integrate((a+b*sec(d*x+c))**2*tan(d*x+c)**7,x)","\begin{cases} - \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{2} \tan^{6}{\left(c + d x \right)}}{6 d} - \frac{a^{2} \tan^{4}{\left(c + d x \right)}}{4 d} + \frac{a^{2} \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{2 a b \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{7 d} - \frac{12 a b \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} + \frac{16 a b \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 d} - \frac{32 a b \sec{\left(c + d x \right)}}{35 d} + \frac{b^{2} \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 d} - \frac{b^{2} \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 d} + \frac{b^{2} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 d} - \frac{b^{2} \sec^{2}{\left(c + d x \right)}}{8 d} & \text{for}\: d \neq 0 \\x \left(a + b \sec{\left(c \right)}\right)^{2} \tan^{7}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*log(tan(c + d*x)**2 + 1)/(2*d) + a**2*tan(c + d*x)**6/(6*d) - a**2*tan(c + d*x)**4/(4*d) + a**2*tan(c + d*x)**2/(2*d) + 2*a*b*tan(c + d*x)**6*sec(c + d*x)/(7*d) - 12*a*b*tan(c + d*x)**4*sec(c + d*x)/(35*d) + 16*a*b*tan(c + d*x)**2*sec(c + d*x)/(35*d) - 32*a*b*sec(c + d*x)/(35*d) + b**2*tan(c + d*x)**6*sec(c + d*x)**2/(8*d) - b**2*tan(c + d*x)**4*sec(c + d*x)**2/(8*d) + b**2*tan(c + d*x)**2*sec(c + d*x)**2/(8*d) - b**2*sec(c + d*x)**2/(8*d), Ne(d, 0)), (x*(a + b*sec(c))**2*tan(c)**7, True))","A",0
273,1,189,0,5.436280," ","integrate((a+b*sec(d*x+c))**2*tan(d*x+c)**5,x)","\begin{cases} \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{2} \tan^{4}{\left(c + d x \right)}}{4 d} - \frac{a^{2} \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{2 a b \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{5 d} - \frac{8 a b \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{15 d} + \frac{16 a b \sec{\left(c + d x \right)}}{15 d} + \frac{b^{2} \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{6 d} - \frac{b^{2} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{6 d} + \frac{b^{2} \sec^{2}{\left(c + d x \right)}}{6 d} & \text{for}\: d \neq 0 \\x \left(a + b \sec{\left(c \right)}\right)^{2} \tan^{5}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*log(tan(c + d*x)**2 + 1)/(2*d) + a**2*tan(c + d*x)**4/(4*d) - a**2*tan(c + d*x)**2/(2*d) + 2*a*b*tan(c + d*x)**4*sec(c + d*x)/(5*d) - 8*a*b*tan(c + d*x)**2*sec(c + d*x)/(15*d) + 16*a*b*sec(c + d*x)/(15*d) + b**2*tan(c + d*x)**4*sec(c + d*x)**2/(6*d) - b**2*tan(c + d*x)**2*sec(c + d*x)**2/(6*d) + b**2*sec(c + d*x)**2/(6*d), Ne(d, 0)), (x*(a + b*sec(c))**2*tan(c)**5, True))","A",0
274,1,126,0,1.857014," ","integrate((a+b*sec(d*x+c))**2*tan(d*x+c)**3,x)","\begin{cases} - \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{a^{2} \tan^{2}{\left(c + d x \right)}}{2 d} + \frac{2 a b \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{3 d} - \frac{4 a b \sec{\left(c + d x \right)}}{3 d} + \frac{b^{2} \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{4 d} - \frac{b^{2} \sec^{2}{\left(c + d x \right)}}{4 d} & \text{for}\: d \neq 0 \\x \left(a + b \sec{\left(c \right)}\right)^{2} \tan^{3}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*log(tan(c + d*x)**2 + 1)/(2*d) + a**2*tan(c + d*x)**2/(2*d) + 2*a*b*tan(c + d*x)**2*sec(c + d*x)/(3*d) - 4*a*b*sec(c + d*x)/(3*d) + b**2*tan(c + d*x)**2*sec(c + d*x)**2/(4*d) - b**2*sec(c + d*x)**2/(4*d), Ne(d, 0)), (x*(a + b*sec(c))**2*tan(c)**3, True))","A",0
275,1,60,0,0.493499," ","integrate((a+b*sec(d*x+c))**2*tan(d*x+c),x)","\begin{cases} \frac{a^{2} \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 d} + \frac{2 a b \sec{\left(c + d x \right)}}{d} + \frac{b^{2} \sec^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \sec{\left(c \right)}\right)^{2} \tan{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*log(tan(c + d*x)**2 + 1)/(2*d) + 2*a*b*sec(c + d*x)/d + b**2*sec(c + d*x)**2/(2*d), Ne(d, 0)), (x*(a + b*sec(c))**2*tan(c), True))","A",0
276,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*sec(d*x+c))**2,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{2} \cot{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**2*cot(c + d*x), x)","F",0
277,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+b*sec(d*x+c))**2,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{2} \cot^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**2*cot(c + d*x)**3, x)","F",0
278,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+b*sec(d*x+c))**2,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{2} \cot^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**2*cot(c + d*x)**5, x)","F",0
279,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**2*tan(d*x+c)**6,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{2} \tan^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**2*tan(c + d*x)**6, x)","F",0
280,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**2*tan(d*x+c)**4,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{2} \tan^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**2*tan(c + d*x)**4, x)","F",0
281,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**2*tan(d*x+c)**2,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{2} \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**2*tan(c + d*x)**2, x)","F",0
282,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+b*sec(d*x+c))**2,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{2} \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**2*cot(c + d*x)**2, x)","F",0
283,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+b*sec(d*x+c))**2,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{2} \cot^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**2*cot(c + d*x)**4, x)","F",0
284,0,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+b*sec(d*x+c))**2,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{2} \cot^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**2*cot(c + d*x)**6, x)","F",0
285,-1,0,0,0.000000," ","integrate(cot(d*x+c)**8*(a+b*sec(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
286,0,0,0,0.000000," ","integrate(tan(d*x+c)**9/(a+b*sec(d*x+c)),x)","\int \frac{\tan^{9}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**9/(a + b*sec(c + d*x)), x)","F",0
287,0,0,0,0.000000," ","integrate(tan(d*x+c)**7/(a+b*sec(d*x+c)),x)","\int \frac{\tan^{7}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**7/(a + b*sec(c + d*x)), x)","F",0
288,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+b*sec(d*x+c)),x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**5/(a + b*sec(c + d*x)), x)","F",0
289,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+b*sec(d*x+c)),x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**3/(a + b*sec(c + d*x)), x)","F",0
290,1,82,0,5.725423," ","integrate(tan(d*x+c)/(a+b*sec(d*x+c)),x)","\begin{cases} \frac{\tilde{\infty} x \tan{\left(c \right)}}{\sec{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 a d} & \text{for}\: b = 0 \\- \frac{1}{b d \sec{\left(c + d x \right)}} & \text{for}\: a = 0 \\\frac{x \tan{\left(c \right)}}{a + b \sec{\left(c \right)}} & \text{for}\: d = 0 \\- \frac{\log{\left(\frac{a}{b} + \sec{\left(c + d x \right)} \right)}}{a d} + \frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 a d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*tan(c)/sec(c), Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (log(tan(c + d*x)**2 + 1)/(2*a*d), Eq(b, 0)), (-1/(b*d*sec(c + d*x)), Eq(a, 0)), (x*tan(c)/(a + b*sec(c)), Eq(d, 0)), (-log(a/b + sec(c + d*x))/(a*d) + log(tan(c + d*x)**2 + 1)/(2*a*d), True))","A",0
291,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+b*sec(d*x+c)),x)","\int \frac{\cot{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)/(a + b*sec(c + d*x)), x)","F",0
292,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+b*sec(d*x+c)),x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)**3/(a + b*sec(c + d*x)), x)","F",0
293,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+b*sec(d*x+c)),x)","\int \frac{\cot^{5}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)**5/(a + b*sec(c + d*x)), x)","F",0
294,0,0,0,0.000000," ","integrate(tan(d*x+c)**6/(a+b*sec(d*x+c)),x)","\int \frac{\tan^{6}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**6/(a + b*sec(c + d*x)), x)","F",0
295,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+b*sec(d*x+c)),x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**4/(a + b*sec(c + d*x)), x)","F",0
296,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+b*sec(d*x+c)),x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**2/(a + b*sec(c + d*x)), x)","F",0
297,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+b*sec(d*x+c)),x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)**2/(a + b*sec(c + d*x)), x)","F",0
298,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+b*sec(d*x+c)),x)","\int \frac{\cot^{4}{\left(c + d x \right)}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)**4/(a + b*sec(c + d*x)), x)","F",0
299,0,0,0,0.000000," ","integrate(tan(d*x+c)**9/(a+b*sec(d*x+c))**2,x)","\int \frac{\tan^{9}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**9/(a + b*sec(c + d*x))**2, x)","F",0
300,0,0,0,0.000000," ","integrate(tan(d*x+c)**7/(a+b*sec(d*x+c))**2,x)","\int \frac{\tan^{7}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**7/(a + b*sec(c + d*x))**2, x)","F",0
301,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+b*sec(d*x+c))**2,x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**5/(a + b*sec(c + d*x))**2, x)","F",0
302,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+b*sec(d*x+c))**2,x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**3/(a + b*sec(c + d*x))**2, x)","F",0
303,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+b*sec(d*x+c))**2,x)","\begin{cases} \frac{\tilde{\infty} x \tan{\left(c \right)}}{\sec^{2}{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\- \frac{1}{2 b^{2} d \sec^{2}{\left(c + d x \right)}} & \text{for}\: a = 0 \\\frac{\int \frac{\tan{\left(c + d x \right)}}{\cos^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)} - 2 \cos{\left(c + d x \right)} \sec{\left(c + d x \right)} + 1}\, dx}{a^{2}} & \text{for}\: b = - a \cos{\left(c + d x \right)} \\\frac{x \tan{\left(c \right)}}{\left(a + b \sec{\left(c \right)}\right)^{2}} & \text{for}\: d = 0 \\\frac{\log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 a^{2} d} & \text{for}\: b = 0 \\- \frac{2 a \log{\left(\frac{a}{b} + \sec{\left(c + d x \right)} \right)}}{2 a^{3} d + 2 a^{2} b d \sec{\left(c + d x \right)}} + \frac{a \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)}}{2 a^{3} d + 2 a^{2} b d \sec{\left(c + d x \right)}} + \frac{2 a}{2 a^{3} d + 2 a^{2} b d \sec{\left(c + d x \right)}} - \frac{2 b \log{\left(\frac{a}{b} + \sec{\left(c + d x \right)} \right)} \sec{\left(c + d x \right)}}{2 a^{3} d + 2 a^{2} b d \sec{\left(c + d x \right)}} + \frac{b \log{\left(\tan^{2}{\left(c + d x \right)} + 1 \right)} \sec{\left(c + d x \right)}}{2 a^{3} d + 2 a^{2} b d \sec{\left(c + d x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*tan(c)/sec(c)**2, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (-1/(2*b**2*d*sec(c + d*x)**2), Eq(a, 0)), (Integral(tan(c + d*x)/(cos(c + d*x)**2*sec(c + d*x)**2 - 2*cos(c + d*x)*sec(c + d*x) + 1), x)/a**2, Eq(b, -a*cos(c + d*x))), (x*tan(c)/(a + b*sec(c))**2, Eq(d, 0)), (log(tan(c + d*x)**2 + 1)/(2*a**2*d), Eq(b, 0)), (-2*a*log(a/b + sec(c + d*x))/(2*a**3*d + 2*a**2*b*d*sec(c + d*x)) + a*log(tan(c + d*x)**2 + 1)/(2*a**3*d + 2*a**2*b*d*sec(c + d*x)) + 2*a/(2*a**3*d + 2*a**2*b*d*sec(c + d*x)) - 2*b*log(a/b + sec(c + d*x))*sec(c + d*x)/(2*a**3*d + 2*a**2*b*d*sec(c + d*x)) + b*log(tan(c + d*x)**2 + 1)*sec(c + d*x)/(2*a**3*d + 2*a**2*b*d*sec(c + d*x)), True))","F",0
304,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+b*sec(d*x+c))**2,x)","\int \frac{\cot{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)/(a + b*sec(c + d*x))**2, x)","F",0
305,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+b*sec(d*x+c))**2,x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)**3/(a + b*sec(c + d*x))**2, x)","F",0
306,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+b*sec(d*x+c))**2,x)","\int \frac{\cot^{5}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)**5/(a + b*sec(c + d*x))**2, x)","F",0
307,0,0,0,0.000000," ","integrate(tan(d*x+c)**6/(a+b*sec(d*x+c))**2,x)","\int \frac{\tan^{6}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**6/(a + b*sec(c + d*x))**2, x)","F",0
308,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+b*sec(d*x+c))**2,x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**4/(a + b*sec(c + d*x))**2, x)","F",0
309,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+b*sec(d*x+c))**2,x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**2/(a + b*sec(c + d*x))**2, x)","F",0
310,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+b*sec(d*x+c))**2,x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)**2/(a + b*sec(c + d*x))**2, x)","F",0
311,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+b*sec(d*x+c))**2,x)","\int \frac{\cot^{4}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)**4/(a + b*sec(c + d*x))**2, x)","F",0
312,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**(5/2)/(a+b*sec(d*x+c)),x)","\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral((e*tan(c + d*x))**(5/2)/(a + b*sec(c + d*x)), x)","F",0
313,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**(3/2)/(a+b*sec(d*x+c)),x)","\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral((e*tan(c + d*x))**(3/2)/(a + b*sec(c + d*x)), x)","F",0
314,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**(1/2)/(a+b*sec(d*x+c)),x)","\int \frac{\sqrt{e \tan{\left(c + d x \right)}}}{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(e*tan(c + d*x))/(a + b*sec(c + d*x)), x)","F",0
315,0,0,0,0.000000," ","integrate(1/(a+b*sec(d*x+c))/(e*tan(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{e \tan{\left(c + d x \right)}} \left(a + b \sec{\left(c + d x \right)}\right)}\, dx"," ",0,"Integral(1/(sqrt(e*tan(c + d*x))*(a + b*sec(c + d*x))), x)","F",0
316,0,0,0,0.000000," ","integrate(1/(a+b*sec(d*x+c))/(e*tan(d*x+c))**(3/2),x)","\int \frac{1}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{3}{2}} \left(a + b \sec{\left(c + d x \right)}\right)}\, dx"," ",0,"Integral(1/((e*tan(c + d*x))**(3/2)*(a + b*sec(c + d*x))), x)","F",0
317,0,0,0,0.000000," ","integrate(1/(a+b*sec(d*x+c))/(e*tan(d*x+c))**(5/2),x)","\int \frac{1}{\left(e \tan{\left(c + d x \right)}\right)^{\frac{5}{2}} \left(a + b \sec{\left(c + d x \right)}\right)}\, dx"," ",0,"Integral(1/((e*tan(c + d*x))**(5/2)*(a + b*sec(c + d*x))), x)","F",0
318,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**(1/2)*tan(d*x+c)**5,x)","\int \sqrt{a + b \sec{\left(c + d x \right)}} \tan^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(c + d*x))*tan(c + d*x)**5, x)","F",0
319,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**(1/2)*tan(d*x+c)**3,x)","\int \sqrt{a + b \sec{\left(c + d x \right)}} \tan^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(c + d*x))*tan(c + d*x)**3, x)","F",0
320,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**(1/2)*tan(d*x+c),x)","\int \sqrt{a + b \sec{\left(c + d x \right)}} \tan{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(c + d*x))*tan(c + d*x), x)","F",0
321,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*sec(d*x+c))**(1/2),x)","\int \sqrt{a + b \sec{\left(c + d x \right)}} \cot{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(c + d*x))*cot(c + d*x), x)","F",0
322,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+b*sec(d*x+c))**(1/2),x)","\int \sqrt{a + b \sec{\left(c + d x \right)}} \cot^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(c + d*x))*cot(c + d*x)**3, x)","F",0
323,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**(1/2)*tan(d*x+c)**2,x)","\int \sqrt{a + b \sec{\left(c + d x \right)}} \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(c + d*x))*tan(c + d*x)**2, x)","F",0
324,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**(1/2),x)","\int \sqrt{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sec(c + d*x)), x)","F",0
325,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+b*sec(d*x+c))**(1/2),x)","\int \sqrt{a + b \sec{\left(c + d x \right)}} \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sec(c + d*x))*cot(c + d*x)**2, x)","F",0
326,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(tan(c + d*x)**5/sqrt(a + b*sec(c + d*x)), x)","F",0
327,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(tan(c + d*x)**3/sqrt(a + b*sec(c + d*x)), x)","F",0
328,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{\tan{\left(c + d x \right)}}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(tan(c + d*x)/sqrt(a + b*sec(c + d*x)), x)","F",0
329,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{\cot{\left(c + d x \right)}}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(cot(c + d*x)/sqrt(a + b*sec(c + d*x)), x)","F",0
330,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(cot(c + d*x)**3/sqrt(a + b*sec(c + d*x)), x)","F",0
331,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(tan(c + d*x)**4/sqrt(a + b*sec(c + d*x)), x)","F",0
332,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(tan(c + d*x)**2/sqrt(a + b*sec(c + d*x)), x)","F",0
333,0,0,0,0.000000," ","integrate(1/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*sec(c + d*x)), x)","F",0
334,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(cot(c + d*x)**2/sqrt(a + b*sec(c + d*x)), x)","F",0
335,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**5/(a + b*sec(c + d*x))**(3/2), x)","F",0
336,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**3/(a + b*sec(c + d*x))**(3/2), x)","F",0
337,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{\tan{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)/(a + b*sec(c + d*x))**(3/2), x)","F",0
338,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{\cot{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)/(a + b*sec(c + d*x))**(3/2), x)","F",0
339,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**3/(a + b*sec(c + d*x))**(3/2), x)","F",0
340,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**4/(a + b*sec(c + d*x))**(3/2), x)","F",0
341,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(c + d*x)**2/(a + b*sec(c + d*x))**(3/2), x)","F",0
342,0,0,0,0.000000," ","integrate(1/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{1}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**(-3/2), x)","F",0
343,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(c + d*x)**2/(a + b*sec(c + d*x))**(3/2), x)","F",0
344,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**3*(d*tan(f*x+e))**n,x)","\int \left(d \tan{\left(e + f x \right)}\right)^{n} \left(a + b \sec{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral((d*tan(e + f*x))**n*(a + b*sec(e + f*x))**3, x)","F",0
345,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))**2*(d*tan(f*x+e))**n,x)","\int \left(d \tan{\left(e + f x \right)}\right)^{n} \left(a + b \sec{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((d*tan(e + f*x))**n*(a + b*sec(e + f*x))**2, x)","F",0
346,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e))*(d*tan(f*x+e))**n,x)","\int \left(d \tan{\left(e + f x \right)}\right)^{n} \left(a + b \sec{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((d*tan(e + f*x))**n*(a + b*sec(e + f*x)), x)","F",0
347,0,0,0,0.000000," ","integrate((d*tan(f*x+e))**n/(a+b*sec(f*x+e)),x)","\int \frac{\left(d \tan{\left(e + f x \right)}\right)^{n}}{a + b \sec{\left(e + f x \right)}}\, dx"," ",0,"Integral((d*tan(e + f*x))**n/(a + b*sec(e + f*x)), x)","F",0
348,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**(3/2)*(e*tan(d*x+c))**m,x)","\int \left(e \tan{\left(c + d x \right)}\right)^{m} \left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((e*tan(c + d*x))**m*(a + b*sec(c + d*x))**(3/2), x)","F",0
349,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**(1/2)*(e*tan(d*x+c))**m,x)","\int \left(e \tan{\left(c + d x \right)}\right)^{m} \sqrt{a + b \sec{\left(c + d x \right)}}\, dx"," ",0,"Integral((e*tan(c + d*x))**m*sqrt(a + b*sec(c + d*x)), x)","F",0
350,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**m/(a+b*sec(d*x+c))**(1/2),x)","\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{m}}{\sqrt{a + b \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral((e*tan(c + d*x))**m/sqrt(a + b*sec(c + d*x)), x)","F",0
351,0,0,0,0.000000," ","integrate((e*tan(d*x+c))**m/(a+b*sec(d*x+c))**(3/2),x)","\int \frac{\left(e \tan{\left(c + d x \right)}\right)^{m}}{\left(a + b \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e*tan(c + d*x))**m/(a + b*sec(c + d*x))**(3/2), x)","F",0
352,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n*(e*tan(d*x+c))**m,x)","\int \left(e \tan{\left(c + d x \right)}\right)^{m} \left(a + b \sec{\left(c + d x \right)}\right)^{n}\, dx"," ",0,"Integral((e*tan(c + d*x))**m*(a + b*sec(c + d*x))**n, x)","F",0
353,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n*tan(d*x+c)**5,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{n} \tan^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n*tan(c + d*x)**5, x)","F",0
354,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n*tan(d*x+c)**3,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{n} \tan^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n*tan(c + d*x)**3, x)","F",0
355,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n*tan(d*x+c),x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{n} \tan{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n*tan(c + d*x), x)","F",0
356,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*sec(d*x+c))**n,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{n} \cot{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n*cot(c + d*x), x)","F",0
357,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+b*sec(d*x+c))**n,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{n} \cot^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n*cot(c + d*x)**3, x)","F",0
358,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n*tan(d*x+c)**4,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{n} \tan^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n*tan(c + d*x)**4, x)","F",0
359,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n*tan(d*x+c)**2,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{n} \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n*tan(c + d*x)**2, x)","F",0
360,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+b*sec(d*x+c))**n,x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{n} \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n*cot(c + d*x)**2, x)","F",0
361,-1,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+b*sec(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
362,-1,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n*tan(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
363,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n*tan(d*x+c)**(1/2),x)","\int \left(a + b \sec{\left(c + d x \right)}\right)^{n} \sqrt{\tan{\left(c + d x \right)}}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n*sqrt(tan(c + d*x)), x)","F",0
364,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n/tan(d*x+c)**(1/2),x)","\int \frac{\left(a + b \sec{\left(c + d x \right)}\right)^{n}}{\sqrt{\tan{\left(c + d x \right)}}}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n/sqrt(tan(c + d*x)), x)","F",0
365,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c))**n/tan(d*x+c)**(3/2),x)","\int \frac{\left(a + b \sec{\left(c + d x \right)}\right)^{n}}{\tan^{\frac{3}{2}}{\left(c + d x \right)}}\, dx"," ",0,"Integral((a + b*sec(c + d*x))**n/tan(c + d*x)**(3/2), x)","F",0
