\(\int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx\) [115]
Optimal result
Integrand size = 47, antiderivative size = 327 \[
\int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx=-\frac {(i A+B-i C) \text {arctanh}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{(a-i b)^2 \sqrt {c-i d} f}-\frac {(B-i (A-C)) \text {arctanh}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{(a+i b)^2 \sqrt {c+i d} f}-\frac {\left (3 a^3 b B d-a^4 C d+b^4 (2 B c-A d)+a b^3 (4 A c-4 c C-B d)-a^2 b^2 (2 B c+5 A d-3 C d)\right ) \text {arctanh}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{\sqrt {b} \left (a^2+b^2\right )^2 (b c-a d)^{3/2} f}-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{\left (a^2+b^2\right ) (b c-a d) f (a+b \tan (e+f x))}
\]
[Out]
-(3*a^3*b*B*d-a^4*C*d+b^4*(-A*d+2*B*c)+a*b^3*(4*A*c-B*d-4*C*c)-a^2*b^2*(5*A*d+2*B*c-3*C*d))*arctanh(b^(1/2)*(c
+d*tan(f*x+e))^(1/2)/(-a*d+b*c)^(1/2))/(a^2+b^2)^2/(-a*d+b*c)^(3/2)/f/b^(1/2)-(I*A+B-I*C)*arctanh((c+d*tan(f*x
+e))^(1/2)/(c-I*d)^(1/2))/(a-I*b)^2/f/(c-I*d)^(1/2)-(B-I*(A-C))*arctanh((c+d*tan(f*x+e))^(1/2)/(c+I*d)^(1/2))/
(a+I*b)^2/f/(c+I*d)^(1/2)-(A*b^2-a*(B*b-C*a))*(c+d*tan(f*x+e))^(1/2)/(a^2+b^2)/(-a*d+b*c)/f/(a+b*tan(f*x+e))
Rubi [A] (verified)
Time = 1.49 (sec) , antiderivative size = 327, normalized size of antiderivative = 1.00, number of
steps used = 12, number of rules used = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.149, Rules used = {3730, 3734, 3620, 3618, 65,
214, 3715} \[
\int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx=-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{f \left (a^2+b^2\right ) (b c-a d) (a+b \tan (e+f x))}-\frac {\left (a^4 (-C) d+3 a^3 b B d-a^2 b^2 (5 A d+2 B c-3 C d)+a b^3 (4 A c-B d-4 c C)+b^4 (2 B c-A d)\right ) \text {arctanh}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{\sqrt {b} f \left (a^2+b^2\right )^2 (b c-a d)^{3/2}}-\frac {(i A+B-i C) \text {arctanh}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (a-i b)^2 \sqrt {c-i d}}-\frac {(B-i (A-C)) \text {arctanh}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (a+i b)^2 \sqrt {c+i d}}
\]
[In]
Int[(A + B*Tan[e + f*x] + C*Tan[e + f*x]^2)/((a + b*Tan[e + f*x])^2*Sqrt[c + d*Tan[e + f*x]]),x]
[Out]
-(((I*A + B - I*C)*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c - I*d]])/((a - I*b)^2*Sqrt[c - I*d]*f)) - ((B - I*(
A - C))*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c + I*d]])/((a + I*b)^2*Sqrt[c + I*d]*f) - ((3*a^3*b*B*d - a^4*C
*d + b^4*(2*B*c - A*d) + a*b^3*(4*A*c - 4*c*C - B*d) - a^2*b^2*(2*B*c + 5*A*d - 3*C*d))*ArcTanh[(Sqrt[b]*Sqrt[
c + d*Tan[e + f*x]])/Sqrt[b*c - a*d]])/(Sqrt[b]*(a^2 + b^2)^2*(b*c - a*d)^(3/2)*f) - ((A*b^2 - a*(b*B - a*C))*
Sqrt[c + d*Tan[e + f*x]])/((a^2 + b^2)*(b*c - a*d)*f*(a + b*Tan[e + f*x]))
Rule 65
Int[((a_.) + (b_.)*(x_))^(m_)*((c_.) + (d_.)*(x_))^(n_), x_Symbol] :> With[{p = Denominator[m]}, Dist[p/b, Sub
st[Int[x^(p*(m + 1) - 1)*(c - a*(d/b) + d*(x^p/b))^n, x], x, (a + b*x)^(1/p)], x]] /; FreeQ[{a, b, c, d}, x] &
& NeQ[b*c - a*d, 0] && LtQ[-1, m, 0] && LeQ[-1, n, 0] && LeQ[Denominator[n], Denominator[m]] && IntLinearQ[a,
b, c, d, m, n, x]
Rule 214
Int[((a_) + (b_.)*(x_)^2)^(-1), x_Symbol] :> Simp[(Rt[-a/b, 2]/a)*ArcTanh[x/Rt[-a/b, 2]], x] /; FreeQ[{a, b},
x] && NegQ[a/b]
Rule 3618
Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_)*((c_) + (d_.)*tan[(e_.) + (f_.)*(x_)]), x_Symbol] :> Dist[c*(
d/f), Subst[Int[(a + (b/d)*x)^m/(d^2 + c*x), x], x, d*Tan[e + f*x]], x] /; FreeQ[{a, b, c, d, e, f, m}, x] &&
NeQ[b*c - a*d, 0] && NeQ[a^2 + b^2, 0] && EqQ[c^2 + d^2, 0]
Rule 3620
Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_)*((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)]), x_Symbol] :> Dist[(c
+ I*d)/2, Int[(a + b*Tan[e + f*x])^m*(1 - I*Tan[e + f*x]), x], x] + Dist[(c - I*d)/2, Int[(a + b*Tan[e + f*x]
)^m*(1 + I*Tan[e + f*x]), x], x] /; FreeQ[{a, b, c, d, e, f, m}, x] && NeQ[b*c - a*d, 0] && NeQ[a^2 + b^2, 0]
&& NeQ[c^2 + d^2, 0] && !IntegerQ[m]
Rule 3715
Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_.)*((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)])^(n_.)*((A_) + (C_.)*
tan[(e_.) + (f_.)*(x_)]^2), x_Symbol] :> Dist[A/f, Subst[Int[(a + b*x)^m*(c + d*x)^n, x], x, Tan[e + f*x]], x]
/; FreeQ[{a, b, c, d, e, f, A, C, m, n}, x] && EqQ[A, C]
Rule 3730
Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_)*((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)])^(n_)*((A_.) + (B_.)*t
an[(e_.) + (f_.)*(x_)] + (C_.)*tan[(e_.) + (f_.)*(x_)]^2), x_Symbol] :> Simp[(A*b^2 - a*(b*B - a*C))*(a + b*Ta
n[e + f*x])^(m + 1)*((c + d*Tan[e + f*x])^(n + 1)/(f*(m + 1)*(b*c - a*d)*(a^2 + b^2))), x] + Dist[1/((m + 1)*(
b*c - a*d)*(a^2 + b^2)), Int[(a + b*Tan[e + f*x])^(m + 1)*(c + d*Tan[e + f*x])^n*Simp[A*(a*(b*c - a*d)*(m + 1)
- b^2*d*(m + n + 2)) + (b*B - a*C)*(b*c*(m + 1) + a*d*(n + 1)) - (m + 1)*(b*c - a*d)*(A*b - a*B - b*C)*Tan[e
+ f*x] - d*(A*b^2 - a*(b*B - a*C))*(m + n + 2)*Tan[e + f*x]^2, x], x], x] /; FreeQ[{a, b, c, d, e, f, A, B, C,
n}, x] && NeQ[b*c - a*d, 0] && NeQ[a^2 + b^2, 0] && NeQ[c^2 + d^2, 0] && LtQ[m, -1] && !(ILtQ[n, -1] && ( !I
ntegerQ[m] || (EqQ[c, 0] && NeQ[a, 0])))
Rule 3734
Int[(((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)])^(n_)*((A_.) + (B_.)*tan[(e_.) + (f_.)*(x_)] + (C_.)*tan[(e_.) + (
f_.)*(x_)]^2))/((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)]), x_Symbol] :> Dist[1/(a^2 + b^2), Int[(c + d*Tan[e + f*
x])^n*Simp[b*B + a*(A - C) + (a*B - b*(A - C))*Tan[e + f*x], x], x], x] + Dist[(A*b^2 - a*b*B + a^2*C)/(a^2 +
b^2), Int[(c + d*Tan[e + f*x])^n*((1 + Tan[e + f*x]^2)/(a + b*Tan[e + f*x])), x], x] /; FreeQ[{a, b, c, d, e,
f, A, B, C, n}, x] && NeQ[b*c - a*d, 0] && NeQ[a^2 + b^2, 0] && NeQ[c^2 + d^2, 0] && !GtQ[n, 0] && !LeQ[n, -
1]
Rubi steps \begin{align*}
\text {integral}& = -\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{\left (a^2+b^2\right ) (b c-a d) f (a+b \tan (e+f x))}-\frac {\int \frac {\frac {1}{2} \left (A b^2 d-2 a A (b c-a d)-2 (b B-a C) \left (b c-\frac {a d}{2}\right )\right )+(A b-a B-b C) (b c-a d) \tan (e+f x)+\frac {1}{2} \left (A b^2-a (b B-a C)\right ) d \tan ^2(e+f x)}{(a+b \tan (e+f x)) \sqrt {c+d \tan (e+f x)}} \, dx}{\left (a^2+b^2\right ) (b c-a d)} \\ & = -\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{\left (a^2+b^2\right ) (b c-a d) f (a+b \tan (e+f x))}-\frac {\int \frac {-\left (\left (2 a b B+a^2 (A-C)-b^2 (A-C)\right ) (b c-a d)\right )-\left (a^2 B-b^2 B-2 a b (A-C)\right ) (b c-a d) \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{\left (a^2+b^2\right )^2 (b c-a d)}+\frac {\left (3 a^3 b B d-a^4 C d+b^4 (2 B c-A d)+a b^3 (4 A c-4 c C-B d)-a^2 b^2 (2 B c+5 A d-3 C d)\right ) \int \frac {1+\tan ^2(e+f x)}{(a+b \tan (e+f x)) \sqrt {c+d \tan (e+f x)}} \, dx}{2 \left (a^2+b^2\right )^2 (b c-a d)} \\ & = -\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{\left (a^2+b^2\right ) (b c-a d) f (a+b \tan (e+f x))}+\frac {(A-i B-C) \int \frac {1+i \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{2 (a-i b)^2}+\frac {(A+i B-C) \int \frac {1-i \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{2 (a+i b)^2}+\frac {\left (3 a^3 b B d-a^4 C d+b^4 (2 B c-A d)+a b^3 (4 A c-4 c C-B d)-a^2 b^2 (2 B c+5 A d-3 C d)\right ) \text {Subst}\left (\int \frac {1}{(a+b x) \sqrt {c+d x}} \, dx,x,\tan (e+f x)\right )}{2 \left (a^2+b^2\right )^2 (b c-a d) f} \\ & = -\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{\left (a^2+b^2\right ) (b c-a d) f (a+b \tan (e+f x))}-\frac {(i (A+i B-C)) \text {Subst}\left (\int \frac {1}{(-1+x) \sqrt {c+i d x}} \, dx,x,-i \tan (e+f x)\right )}{2 (a+i b)^2 f}+\frac {(i A+B-i C) \text {Subst}\left (\int \frac {1}{(-1+x) \sqrt {c-i d x}} \, dx,x,i \tan (e+f x)\right )}{2 (a-i b)^2 f}+\frac {\left (3 a^3 b B d-a^4 C d+b^4 (2 B c-A d)+a b^3 (4 A c-4 c C-B d)-a^2 b^2 (2 B c+5 A d-3 C d)\right ) \text {Subst}\left (\int \frac {1}{a-\frac {b c}{d}+\frac {b x^2}{d}} \, dx,x,\sqrt {c+d \tan (e+f x)}\right )}{\left (a^2+b^2\right )^2 d (b c-a d) f} \\ & = -\frac {\left (3 a^3 b B d-a^4 C d+b^4 (2 B c-A d)+a b^3 (4 A c-4 c C-B d)-a^2 b^2 (2 B c+5 A d-3 C d)\right ) \text {arctanh}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{\sqrt {b} \left (a^2+b^2\right )^2 (b c-a d)^{3/2} f}-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{\left (a^2+b^2\right ) (b c-a d) f (a+b \tan (e+f x))}-\frac {(A-i B-C) \text {Subst}\left (\int \frac {1}{-1-\frac {i c}{d}+\frac {i x^2}{d}} \, dx,x,\sqrt {c+d \tan (e+f x)}\right )}{(a-i b)^2 d f}-\frac {(A+i B-C) \text {Subst}\left (\int \frac {1}{-1+\frac {i c}{d}-\frac {i x^2}{d}} \, dx,x,\sqrt {c+d \tan (e+f x)}\right )}{(a+i b)^2 d f} \\ & = -\frac {(i A+B-i C) \text {arctanh}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{(a-i b)^2 \sqrt {c-i d} f}-\frac {(B-i (A-C)) \text {arctanh}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{(a+i b)^2 \sqrt {c+i d} f}-\frac {\left (3 a^3 b B d-a^4 C d+b^4 (2 B c-A d)+a b^3 (4 A c-4 c C-B d)-a^2 b^2 (2 B c+5 A d-3 C d)\right ) \text {arctanh}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{\sqrt {b} \left (a^2+b^2\right )^2 (b c-a d)^{3/2} f}-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{\left (a^2+b^2\right ) (b c-a d) f (a+b \tan (e+f x))} \\
\end{align*}
Mathematica [A] (verified)
Time = 6.26 (sec) , antiderivative size = 521, normalized size of antiderivative = 1.59
\[
\int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx=-\frac {\frac {\frac {i \sqrt {c-i d} \left (i \left (a^2 B-b^2 B-2 a b (A-C)\right ) (b c-a d)-\left (2 a b B+a^2 (A-C)-b^2 (A-C)\right ) (b c-a d)\right ) \text {arctanh}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{(-c+i d) f}-\frac {i \sqrt {c+i d} \left (-i \left (a^2 B-b^2 B-2 a b (A-C)\right ) (b c-a d)-\left (2 a b B+a^2 (A-C)-b^2 (A-C)\right ) (b c-a d)\right ) \text {arctanh}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{(-c-i d) f}}{a^2+b^2}+\frac {2 \sqrt {b c-a d} \left (\frac {1}{2} a^2 \left (A b^2-a (b B-a C)\right ) d-a b (A b-a B-b C) (b c-a d)+\frac {1}{2} b^2 \left (A b^2 d-2 a A (b c-a d)-2 (b B-a C) \left (b c-\frac {a d}{2}\right )\right )\right ) \text {arctanh}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{\sqrt {b} \left (a^2+b^2\right ) (-b c+a d) f}}{\left (a^2+b^2\right ) (b c-a d)}-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{\left (a^2+b^2\right ) (b c-a d) f (a+b \tan (e+f x))}
\]
[In]
Integrate[(A + B*Tan[e + f*x] + C*Tan[e + f*x]^2)/((a + b*Tan[e + f*x])^2*Sqrt[c + d*Tan[e + f*x]]),x]
[Out]
-((((I*Sqrt[c - I*d]*(I*(a^2*B - b^2*B - 2*a*b*(A - C))*(b*c - a*d) - (2*a*b*B + a^2*(A - C) - b^2*(A - C))*(b
*c - a*d))*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c - I*d]])/((-c + I*d)*f) - (I*Sqrt[c + I*d]*((-I)*(a^2*B - b
^2*B - 2*a*b*(A - C))*(b*c - a*d) - (2*a*b*B + a^2*(A - C) - b^2*(A - C))*(b*c - a*d))*ArcTanh[Sqrt[c + d*Tan[
e + f*x]]/Sqrt[c + I*d]])/((-c - I*d)*f))/(a^2 + b^2) + (2*Sqrt[b*c - a*d]*((a^2*(A*b^2 - a*(b*B - a*C))*d)/2
- a*b*(A*b - a*B - b*C)*(b*c - a*d) + (b^2*(A*b^2*d - 2*a*A*(b*c - a*d) - 2*(b*B - a*C)*(b*c - (a*d)/2)))/2)*A
rcTanh[(Sqrt[b]*Sqrt[c + d*Tan[e + f*x]])/Sqrt[b*c - a*d]])/(Sqrt[b]*(a^2 + b^2)*(-(b*c) + a*d)*f))/((a^2 + b^
2)*(b*c - a*d))) - ((A*b^2 - a*(b*B - a*C))*Sqrt[c + d*Tan[e + f*x]])/((a^2 + b^2)*(b*c - a*d)*f*(a + b*Tan[e
+ f*x]))
Maple [B] (verified)
Leaf count of result is larger than twice the leaf count of optimal. \(20869\) vs. \(2(294)=588\).
Time = 0.16 (sec) , antiderivative size = 20870, normalized size of antiderivative =
63.82
| | |
method | result | size |
| | |
derivativedivides |
\(\text {Expression too large to display}\) |
\(20870\) |
default |
\(\text {Expression too large to display}\) |
\(20870\) |
| | |
|
|
|
[In]
int((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^2,x,method=_RETURNVERBOSE)
[Out]
result too large to display
Fricas [F(-1)]
Timed out. \[
\int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx=\text {Timed out}
\]
[In]
integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^2,x, algorithm="fricas")
[Out]
Timed out
Sympy [F]
\[
\int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx=\int \frac {A + B \tan {\left (e + f x \right )} + C \tan ^{2}{\left (e + f x \right )}}{\left (a + b \tan {\left (e + f x \right )}\right )^{2} \sqrt {c + d \tan {\left (e + f x \right )}}}\, dx
\]
[In]
integrate((A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(c+d*tan(f*x+e))**(1/2)/(a+b*tan(f*x+e))**2,x)
[Out]
Integral((A + B*tan(e + f*x) + C*tan(e + f*x)**2)/((a + b*tan(e + f*x))**2*sqrt(c + d*tan(e + f*x))), x)
Maxima [F(-2)]
Exception generated. \[
\int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx=\text {Exception raised: ValueError}
\]
[In]
integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^2,x, algorithm="maxima")
[Out]
Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for
more detail
Giac [F(-1)]
Timed out. \[
\int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx=\text {Timed out}
\]
[In]
integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^2,x, algorithm="giac")
[Out]
Timed out
Mupad [B] (verification not implemented)
Time = 57.47 (sec) , antiderivative size = 225004, normalized size of antiderivative = 688.09
\[
\int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx=\text {Too large to display}
\]
[In]
int((A + B*tan(e + f*x) + C*tan(e + f*x)^2)/((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^(1/2)),x)
[Out]
(atan(((((((16*(8*C^3*a^6*b^7*d^11*f^2 - 78*C^3*a^4*b^9*d^11*f^2 + 60*C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d
^11*f^2 + 2*C^3*a^12*b*d^11*f^2 - 32*C^3*a*b^12*c^3*d^8*f^2 + 152*C^3*a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*
d^10*f^2 - 64*C^3*a^7*b^6*c*d^10*f^2 - 32*C^3*a^9*b^4*c*d^10*f^2 + 8*C^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11
*c^2*d^9*f^2 + 64*C^3*a^3*b^10*c^3*d^8*f^2 - 216*C^3*a^4*b^9*c^2*d^9*f^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^
3*a^6*b^7*c^2*d^9*f^2 + 56*C^3*a^8*b^5*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*
b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 +
4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d
*f^5) - (((((16*(40*C*a^3*b^14*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10*d^12*f^4 + 320*C*a^9*b^8*d^
12*f^4 + 120*C*a^11*b^6*d^12*f^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*f^4 + 3
2*C*a*b^16*c^4*d^8*f^4 - 88*C*a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 920*C*a^6*b^11*c*d^11*f^4 - 96
0*C*a^8*b^9*c*d^11*f^4 - 520*C*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^4 - 32*
C*a^2*b^15*c^3*d^9*f^4 + 256*C*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*d^9*f^4
+ 680*C*a^5*b^12*c^2*d^10*f^4 + 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^10*c^2*
d^10*f^4 + 320*C*a^7*b^10*c^4*d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*c^2*d^10*f^4 + 160*C*a^9*b^8
*c^4*d^8*f^4 - 352*C*a^10*b^7*c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 72*C*a^1
2*b^5*c^3*d^9*f^4 + 56*C*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*
c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^
8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5
) - (16*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^
2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a
^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*
f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c
*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2)*(c
+ d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*
d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b
^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c
^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^
2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^
4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3
*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d
^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4
- 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9
*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*
c*d^11*f^4))/((b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c
^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) -
b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5
*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2)*(a^10*d^2*f^4 + b
^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 +
4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*
f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2
*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6
*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f
^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f
^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2
*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c
*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*
f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^
7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d
^2*f^2) + (16*(c + d*tan(e + f*x))^(1/2)*(20*C^2*a^5*b^10*d^11*f^2 - 60*C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^
8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C^2*a^11*b^4*d^11*f^2 + 4*C^2*a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^
8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*b^14*c^2*d^9*f^2 + 100*C^2*a^2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*
d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*C^2*a^10*b^5*c*d^10*f^2 + 32*C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*
b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9*f^2 + 216*C^2*a^4*b^11*c^3*d^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 +
8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^8*c^2*d^9*f^2 - 68*C^2*a^8*b^7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9
*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2
*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b
^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 -
8*a^7*b^3*c*d*f^4))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^
5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6
*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a
*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 +
18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^
2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*
f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9
*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^
2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2))*((C^2*a^8*d^2 + 16*
C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^
2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^
3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2
- 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d
*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2
*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^
3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b
^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^
3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^
4*a^4*b^7*d^10 + 17*C^4*a^6*b^5*d^10 - 7*C^4*a^8*b^3*d^10 + 2*C^4*b^11*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*
b^9*c^2*d^8 + 18*C^4*a^4*b^7*c^2*d^8 - 4*C^4*a*b^10*c*d^9 + 16*C^4*a^3*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^
4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a
^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4
- 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*((C^2*a^8*d^2 + 16*C^2*a^2*b
^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*
b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4
*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*
b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12
*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2)*1i)/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2
*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2
+ 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12
*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2
- 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2) - (((((16*(8*C^3*a^6*b^7*d^11*f^2 - 78*C^3*a^4*b^9*d^11*f^2 + 60*
C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C^3*a^12*b*d^11*f^2 - 32*C^3*a*b^12*c^3*d^8*f^2 + 152*C^3*
a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64*C^3*a^7*b^6*c*d^10*f^2 - 32*C^3*a^9*b^4*c*d^10*f^2 + 8*C
^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2 + 64*C^3*a^3*b^10*c^3*d^8*f^2 - 216*C^3*a^4*b^9*c^2*d^9*f
^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2*d^9*f^2 + 56*C^3*a^8*b^5*c^2*d^9*f^2))/(a^10*d^2*f^5 + b
^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 +
4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*
f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((((16*(40*C*a^3*b^14*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 36
0*C*a^7*b^10*d^12*f^4 + 320*C*a^9*b^8*d^12*f^4 + 120*C*a^11*b^6*d^12*f^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^
3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*f^4 + 32*C*a*b^16*c^4*d^8*f^4 - 88*C*a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d
^11*f^4 - 920*C*a^6*b^11*c*d^11*f^4 - 960*C*a^8*b^9*c*d^11*f^4 - 520*C*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*
d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^4 - 32*C*a^2*b^15*c^3*d^9*f^4 + 256*C*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*
c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*d^9*f^4 + 680*C*a^5*b^12*c^2*d^10*f^4 + 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^
6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^10*c^2*d^10*f^4 + 320*C*a^7*b^10*c^4*d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 76
0*C*a^9*b^8*c^2*d^10*f^4 + 160*C*a^9*b^8*c^4*d^8*f^4 - 352*C*a^10*b^7*c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^
4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 72*C*a^12*b^5*c^3*d^9*f^4 + 56*C*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*
c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^
4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5
- 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (16*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2
*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6
*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f
^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f
^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2
*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4
+ 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^
5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 2
72*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 91
2*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560
*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48
*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a
^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*
b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^1
1*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4
+ 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3
*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) -
b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*
c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 +
6*a^10*b^2*c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^
4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*
d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*((C^2*a^8*d^2 + 16*C^2
*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 -
a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f
^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 1
2*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^
2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*
d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f
^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*
(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f
^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2) - (16*(c + d*tan(e + f*x))^(1/2)*(20*C^2*a^5*b^10*d^11*f^2 - 6
0*C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C^2*a^11*b^4*d^11*f^2 + 4*C^
2*a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*b^14*c^2*d^9*f^2 + 100*C^2*
a^2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*C^2*a^10*b^5*c*d^10*f^2 + 3
2*C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9*f^2 + 216*C^2*a^4*b^11*c^3
*d^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^8*c^2*d^9*f^2 - 68*C^2*a^8*
b^7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*a^11*b^4*c^2*d^9*f^2))/(a^1
0*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b
^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8
*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4
*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10
*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a
^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4
*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3
*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^
2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3
*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2
*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*
a^10*b^2*c*d^2*f^2))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b
^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^
6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*
a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 +
18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f
^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3
*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^
9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c
^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2) - (16*(c + d*tan(e
+ f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 17*C^4*a^6*b^5*d^10 - 7*C^4*a^8*b^3*d^10 + 2*C^4*b^11
*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C^4*a^4*b^7*c^2*d^8 - 4*C^4*a*b^10*c*d^9 + 16*C^4*a^3
*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6
*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f
^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^
3*c*d*f^4))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d +
8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2
+ a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^
2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b
^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2
)*1i)/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 +
24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a
^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f
^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2))/((((((16*(8*C^3*a^6*b^7*
d^11*f^2 - 78*C^3*a^4*b^9*d^11*f^2 + 60*C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C^3*a^12*b*d^11*f^
2 - 32*C^3*a*b^12*c^3*d^8*f^2 + 152*C^3*a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64*C^3*a^7*b^6*c*d^
10*f^2 - 32*C^3*a^9*b^4*c*d^10*f^2 + 8*C^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2 + 64*C^3*a^3*b^10
*c^3*d^8*f^2 - 216*C^3*a^4*b^9*c^2*d^9*f^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2*d^9*f^2 + 56*C^3
*a^8*b^5*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^
5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*
d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((((16*(40*C*a^3*b^14
*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10*d^12*f^4 + 320*C*a^9*b^8*d^12*f^4 + 120*C*a^11*b^6*d^12*f
^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*f^4 + 32*C*a*b^16*c^4*d^8*f^4 - 88*C*
a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 920*C*a^6*b^11*c*d^11*f^4 - 960*C*a^8*b^9*c*d^11*f^4 - 520*C
*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^4 - 32*C*a^2*b^15*c^3*d^9*f^4 + 256*C
*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*d^9*f^4 + 680*C*a^5*b^12*c^2*d^10*f^4
+ 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^10*c^2*d^10*f^4 + 320*C*a^7*b^10*c^4*
d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*c^2*d^10*f^4 + 160*C*a^9*b^8*c^4*d^8*f^4 - 352*C*a^10*b^7*
c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 72*C*a^12*b^5*c^3*d^9*f^4 + 56*C*a^13*
b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 +
a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^
5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (16*((C^2*a^8*d^2 + 16*C^2
*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 -
a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f
^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 1
2*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^
2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a
^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f
^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4
*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*
d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*
d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d
^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^
10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*
f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*
a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b
^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^10*(8*a^2*c^3
*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b
^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^
2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 -
2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^
4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*
d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a
^7*b^3*c*d*f^4)))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*
c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c
^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b
^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18
*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2)
)^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^
2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(
2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*
d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2) + (16*(c + d*tan(e + f
*x))^(1/2)*(20*C^2*a^5*b^10*d^11*f^2 - 60*C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^
11*f^2 - 44*C^2*a^11*b^4*d^11*f^2 + 4*C^2*a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^
2 - 20*C^2*a*b^14*c^2*d^9*f^2 + 100*C^2*a^2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d
^10*f^2 + 76*C^2*a^10*b^5*c*d^10*f^2 + 32*C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3
*b^12*c^2*d^9*f^2 + 216*C^2*a^4*b^11*c^3*d^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 1
68*C^2*a^7*b^8*c^2*d^9*f^2 - 68*C^2*a^8*b^7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*
f^2 - 44*C^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a
^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4
- 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*((C^2*a^8*
d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^
12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a
^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c
*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*
b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^
2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*
(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d
*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*
a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^
4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^1
0*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*
a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^
4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 -
3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f
^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^
3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^
2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6
*a^10*b^2*c*d^2*f^2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 17*C^4*a^6*b^
5*d^10 - 7*C^4*a^8*b^3*d^10 + 2*C^4*b^11*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C^4*a^4*b^7*c
^2*d^8 - 4*C^4*a*b^10*c*d^9 + 16*C^4*a^3*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/(a^10*d^2*f^
4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f
^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7
*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6
*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2
+ 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d
^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d
^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3
*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a
^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*
d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2)
- b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2
*c*d^2*f^2) - (32*(3*C^5*a^3*b^6*d^10 - C^5*a^5*b^4*d^10 + 4*C^5*a*b^8*c^2*d^8 - 7*C^5*a^2*b^7*c*d^9 + C^5*a^4
*b^5*c*d^9))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^
2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*
a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((((16*(8*C^3*a^6*b^7*d^11*f^2
- 78*C^3*a^4*b^9*d^11*f^2 + 60*C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C^3*a^12*b*d^11*f^2 - 32*C^
3*a*b^12*c^3*d^8*f^2 + 152*C^3*a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64*C^3*a^7*b^6*c*d^10*f^2 -
32*C^3*a^9*b^4*c*d^10*f^2 + 8*C^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2 + 64*C^3*a^3*b^10*c^3*d^8*
f^2 - 216*C^3*a^4*b^9*c^2*d^9*f^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2*d^9*f^2 + 56*C^3*a^8*b^5*
c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b
^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2
*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((((16*(40*C*a^3*b^14*d^12*f^4
+ 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10*d^12*f^4 + 320*C*a^9*b^8*d^12*f^4 + 120*C*a^11*b^6*d^12*f^4 - 8*C*
a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*f^4 + 32*C*a*b^16*c^4*d^8*f^4 - 88*C*a^2*b^15*
c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 920*C*a^6*b^11*c*d^11*f^4 - 960*C*a^8*b^9*c*d^11*f^4 - 520*C*a^10*b^7
*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^4 - 32*C*a^2*b^15*c^3*d^9*f^4 + 256*C*a^3*b^14
*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*d^9*f^4 + 680*C*a^5*b^12*c^2*d^10*f^4 + 320*C*
a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^10*c^2*d^10*f^4 + 320*C*a^7*b^10*c^4*d^8*f^4 -
680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*c^2*d^10*f^4 + 160*C*a^9*b^8*c^4*d^8*f^4 - 352*C*a^10*b^7*c^3*d^9*f
^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 72*C*a^12*b^5*c^3*d^9*f^4 + 56*C*a^13*b^4*c^2*d
^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c
^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9
*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (16*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*
c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d
^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^
5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9
*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^
8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d
^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*
a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4
+ 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4
+ 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 -
880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 -
1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 -
48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*
a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*
c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11
*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^10*(8*a^2*c^3*f^2 + 6*
a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6
*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2)
- b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b
*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4
*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 +
4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*
d*f^4)))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C
^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 +
a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d
*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*
c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/
(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^
4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3
*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) +
2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2) - (16*(c + d*tan(e + f*x))^(1/2
)*(20*C^2*a^5*b^10*d^11*f^2 - 60*C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 -
44*C^2*a^11*b^4*d^11*f^2 + 4*C^2*a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^
2*a*b^14*c^2*d^9*f^2 + 100*C^2*a^2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 +
76*C^2*a^10*b^5*c*d^10*f^2 + 32*C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2
*d^9*f^2 + 216*C^2*a^4*b^11*c^3*d^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^
7*b^8*c^2*d^9*f^2 - 68*C^2*a^8*b^7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*
C^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^
2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^
9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*((C^2*a^8*d^2 + 16*
C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^
2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^
3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2
- 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d
*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2
*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^
3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b
^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^
3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6
*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2
+ 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d
^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d
^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3
*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a
^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*
d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2)
- b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2
*c*d^2*f^2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 17*C^4*a^6*b^5*d^10 -
7*C^4*a^8*b^3*d^10 + 2*C^4*b^11*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C^4*a^4*b^7*c^2*d^8 -
4*C^4*a*b^10*c*d^9 + 16*C^4*a^3*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*
c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^
4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4
- 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*
b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*
b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 -
4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2 + 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 -
18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^
2 + 3*a^10*b^2*c*d^2*f^2))^(1/2))/(b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*
f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 +
6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*
a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^
2)))*((C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 9*C^2*a^4*b^4*d^2 - 6*C^2*a^6*b^2*d^2 - 24*C^2*a^3*b^5*c*d + 8*C^2*a
^5*b^3*c*d)*(b^12*c^3*f^2 - a^11*b*d^3*f^2 + 4*a^2*b^10*c^3*f^2 + 6*a^4*b^8*c^3*f^2 + 4*a^6*b^6*c^3*f^2 + a^8*
b^4*c^3*f^2 - a^3*b^9*d^3*f^2 - 4*a^5*b^7*d^3*f^2 - 6*a^7*b^5*d^3*f^2 - 4*a^9*b^3*d^3*f^2 - 3*a*b^11*c^2*d*f^2
+ 3*a^2*b^10*c*d^2*f^2 - 12*a^3*b^9*c^2*d*f^2 + 12*a^4*b^8*c*d^2*f^2 - 18*a^5*b^7*c^2*d*f^2 + 18*a^6*b^6*c*d^
2*f^2 - 12*a^7*b^5*c^2*d*f^2 + 12*a^8*b^4*c*d^2*f^2 - 3*a^9*b^3*c^2*d*f^2 + 3*a^10*b^2*c*d^2*f^2))^(1/2)*2i)/(
b^10*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^4*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^8*(12*a^4*c^3*f^2 + 24*a^4
*c*d^2*f^2) + b^6*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^3*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^9*(2*a^3*d^3*
f^2 + 24*a^3*c^2*d*f^2) - b^5*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^7*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) + 2
*b^12*c^3*f^2 - 2*a^11*b*d^3*f^2 - 6*a*b^11*c^2*d*f^2 + 6*a^10*b^2*c*d^2*f^2) - (atan((((((512*B^4*a^4*b^4*c^2
*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a
^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3
*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a
*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4
+ 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b
^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*B^4*a^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d
^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^11*c^2*d^8 - 8*B^4*a^2*b^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5
*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B^4*a^3*b^8*c*d^9 - 32*B^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2
*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^
2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*
b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256
*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^
4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^
4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2
- 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^
4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(52*B^3*
a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*d^11*f^2 - 24*B^3*a^7*b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11
*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*f^2 + 44*B^3*a*b^12*c^2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4
*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*d^10*f^2 - 48*B^3*a^8*b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^
3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3*b^10*c^2*d^9*f^2 - 24*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^
2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160*B^3*a^7*b^6*c^2*d^9*f^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2
*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*
c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^
9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B
^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*
f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 +
128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2
- 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^
6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)
)^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*B^2*a^3*b^12*d^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*
d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 + 84*B^2*a^11*b^4*d^11*f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*
f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 128*B^2*a^2*b^13*c*d^10*f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*
c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f^2 - 128*B^2*a^10*b^5*c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2
*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12*c^2*d^9*f^2 - 184*B^2*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2
- 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^2*a^7*b^8*c^2*d^9*f^2 + 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^
9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2 + 60*B^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c
^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6
*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4
- 8*a^7*b^3*c*d*f^4) + ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8
*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f
^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2)
+ 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2
*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4
*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d
^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 480*B*a^10*b^7*d^12*f^4 - 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4
+ 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17*c^4*d^8*f^4 - 112*B*a*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*
B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^10*c*d^11*f^4 + 480*B*a^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*
B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^2*c*d^11*f^4 + 368*B*a^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 -
512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a^4*b^13*c^2*d^10*f^4 + 400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9
*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 + 320*B*a^6*b^11*c^4*d^8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c
^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f^4 - 80*B*a^9*b^8*c^3*d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^
7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d^9*f^4 - 192*B*a^12*b^5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^
13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c^2*d^10*f^4 - 96*B*a*b^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^
2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5
+ 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c
*d*f^5 - 8*a^7*b^3*c*d*f^5) - (4*(((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 1
6*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*
b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^
4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)
*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^
2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b
^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 -
288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8
*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10
*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*
f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f
^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f
^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4
+ 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*
b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c
*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d
^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2
*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2
*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b
^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))
)/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^
2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*
c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*
b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*
f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*1i)
/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2
*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) + ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*
b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4
- 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128
*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 1
6*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c
^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(
1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*B^4*a^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^
8*b^3*d^10 + 6*B^4*b^11*c^2*d^8 - 8*B^4*a^2*b^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B
^4*a*b^10*c*d^9 + 12*B^4*a^3*b^8*c*d^9 - 32*B^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^
2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*
b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 -
12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c
^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 19
2*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^
7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*
b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*
a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*
f^2 - 128*B^3*a^5*b^8*d^11*f^2 - 24*B^3*a^7*b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2
+ 12*B^3*b^13*c^3*d^8*f^2 + 44*B^3*a*b^12*c^2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^
2 + 176*B^3*a^6*b^7*c*d^10*f^2 - 48*B^3*a^8*b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3
*d^8*f^2 + 192*B^3*a^3*b^10*c^2*d^9*f^2 - 24*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6
*b^7*c^3*d^8*f^2 - 160*B^3*a^7*b^6*c^2*d^9*f^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^
10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*
b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 -
8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4
- 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*
a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*
c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b
*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*
a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(
c + d*tan(e + f*x))^(1/2)*(68*B^2*a^3*b^12*d^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*
B^2*a^9*b^6*d^11*f^2 + 84*B^2*a^11*b^4*d^11*f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a
*b^14*c^2*d^9*f^2 - 128*B^2*a^2*b^13*c*d^10*f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 3
2*B^2*a^8*b^7*c*d^10*f^2 - 128*B^2*a^10*b^5*c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*
f^2 + 204*B^2*a^3*b^12*c^2*d^9*f^2 - 184*B^2*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*
b^9*c^3*d^8*f^2 - 8*B^2*a^7*b^8*c^2*d^9*f^2 + 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2
*a^10*b^5*c^3*d^8*f^2 + 60*B^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4
*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 +
4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*
d*f^4) - ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256
*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a
^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*
f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2
*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f
^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*
B*a^8*b^9*d^12*f^4 - 480*B*a^10*b^7*d^12*f^4 - 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^
2*d^10*f^4 + 48*B*b^17*c^4*d^8*f^4 - 112*B*a*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d
^11*f^4 - 80*B*a^7*b^10*c*d^11*f^4 + 480*B*a^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d
^11*f^4 + 16*B*a^15*b^2*c*d^11*f^4 + 368*B*a^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14
*c^3*d^9*f^4 + 832*B*a^4*b^13*c^2*d^10*f^4 + 400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a
^6*b^11*c^2*d^10*f^4 + 320*B*a^6*b^11*c^4*d^8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 +
80*B*a^8*b^9*c^4*d^8*f^4 - 80*B*a^9*b^8*c^3*d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4
+ 128*B*a^11*b^6*c^3*d^9*f^4 - 192*B*a^12*b^5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9
*f^4 - 48*B*a^14*b^3*c^2*d^10*f^4 - 96*B*a*b^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5
+ 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^
2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7
*b^3*c*d*f^5) + (4*(((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*
f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 -
896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B
^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4
+ a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*
b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 +
160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*
d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2
*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4
*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*
b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10
*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b
^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*
c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^
4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 65
6*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c
^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b
^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b
^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2
*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*
f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*
a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*
d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 +
4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^
4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*1i)/(4*(a^8*c^2*f
^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a
^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))/((16*(9*B^5*a^6*b^3*d^10 - B^5*a^2*b^7*d^10 - 4*B^5*
a^2*b^7*c^2*d^8 + 4*B^5*a^4*b^5*c^2*d^8 + 2*B^5*a*b^8*c*d^9 + 6*B^5*a^3*b^6*c*d^9 - 12*B^5*a^5*b^4*c*d^9))/(a^
10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*
b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 -
8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4
- 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*
a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*
c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b
*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*
a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(
c + d*tan(e + f*x))^(1/2)*(3*B^4*a^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10
+ 6*B^4*b^11*c^2*d^8 - 8*B^4*a^2*b^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c
*d^9 + 12*B^4*a^3*b^8*c*d^9 - 32*B^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a
^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4
+ 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*
c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16
*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b
^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4
)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*
(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2
*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B
^3*a^5*b^8*d^11*f^2 - 24*B^3*a^7*b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^
13*c^3*d^8*f^2 + 44*B^3*a*b^12*c^2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3
*a^6*b^7*c*d^10*f^2 - 48*B^3*a^8*b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 +
192*B^3*a^3*b^10*c^2*d^9*f^2 - 24*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^
8*f^2 - 160*B^3*a^7*b^6*c^2*d^9*f^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5
+ b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5
+ 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c
*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*
a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2
*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 1
28*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24
*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2
*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e
+ f*x))^(1/2)*(68*B^2*a^3*b^12*d^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6
*d^11*f^2 + 84*B^2*a^11*b^4*d^11*f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d
^9*f^2 - 128*B^2*a^2*b^13*c*d^10*f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b
^7*c*d^10*f^2 - 128*B^2*a^10*b^5*c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B
^2*a^3*b^12*c^2*d^9*f^2 - 184*B^2*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8
*f^2 - 8*B^2*a^7*b^8*c^2*d^9*f^2 + 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c
^3*d^8*f^2 + 60*B^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^
4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*
d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((
((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^
2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*
f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2
*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*
c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*
b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d
^12*f^4 - 480*B*a^10*b^7*d^12*f^4 - 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4
+ 48*B*b^17*c^4*d^8*f^4 - 112*B*a*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 8
0*B*a^7*b^10*c*d^11*f^4 + 480*B*a^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 1
6*B*a^15*b^2*c*d^11*f^4 + 368*B*a^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^
4 + 832*B*a^4*b^13*c^2*d^10*f^4 + 400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2
*d^10*f^4 + 320*B*a^6*b^11*c^4*d^8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^
9*c^4*d^8*f^4 - 80*B*a^9*b^8*c^3*d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^1
1*b^6*c^3*d^9*f^4 - 192*B*a^12*b^5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B
*a^14*b^3*c^2*d^10*f^4 - 96*B*a*b^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6
*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a
^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^
5) - (4*(((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B
^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3
*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^
2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f
^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4
+ 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^
15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 -
160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d
^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d
^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^
9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^
10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*
f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4
- 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5
*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*
c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^
8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4
+ 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4
+ a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*
f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d
^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2
*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4
*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d
^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 +
4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f
^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4
+ 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^
6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 +
192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4
*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a
^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 +
4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x
))^(1/2)*(3*B^4*a^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^11*c^2*
d^8 - 8*B^4*a^2*b^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B^4*a^3
*b^8*c*d^9 - 32*B^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 +
6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*
f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b
^3*c*d*f^4) - ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4
- 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*
B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a
^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^
8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*
d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*d^11*f
^2 - 24*B^3*a^7*b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*f^2 +
44*B^3*a*b^12*c^2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*d^10*f
^2 - 48*B^3*a^8*b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3*b^10*
c^2*d^9*f^2 - 24*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160*B^3*a
^7*b^6*c^2*d^9*f^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 +
4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*
f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b
^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 -
16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^
6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*
f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^
2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*
c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(6
8*B^2*a^3*b^12*d^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 + 84*B^
2*a^11*b^4*d^11*f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 128*B^2*
a^2*b^13*c*d^10*f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f^2 - 1
28*B^2*a^10*b^5*c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12*c^2*d
^9*f^2 - 184*B^2*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^2*a^7*
b^8*c^2*d^9*f^2 + 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2 + 60*B
^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2
*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9
*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((((512*B^4*a^4*b^4
*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B
^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5
*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B
^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2
*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a
^6*b^2*d^2*f^4))^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 480*B*a
^10*b^7*d^12*f^4 - 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17*c^4*d
^8*f^4 - 112*B*a*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^10*c*d^
11*f^4 + 480*B*a^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^2*c*d^
11*f^4 + 368*B*a^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a^4*b^1
3*c^2*d^10*f^4 + 400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 + 320*B
*a^6*b^11*c^4*d^8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f^4 - 8
0*B*a^9*b^8*c^3*d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d^9*f^4
- 192*B*a^12*b^5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c^2*d^1
0*f^4 - 96*B*a*b^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*
b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 -
2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (4*(((512*B^
4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^
4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 89
6*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f
^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4
+ b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*
f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288
*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12
*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2
*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*
b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b
^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*
b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^
6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^
2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4
+ 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*
a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2
*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f
^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4
+ a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d
*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*
f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*
d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4
+ 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^
8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^
4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4
+ b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*
f^4 + 4*a^6*b^2*d^2*f^4))))*(((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4
*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d
^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1
/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)*(a^8
*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4
+ 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/(2*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c
^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b
^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - (atan((((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*
c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 1
92*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a
^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2
*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4
*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))
^(1/2)*(3*B^4*a^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^11*c^2*d^
8 - 8*B^4*a^2*b^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B^4*a^3*b
^8*c*d^9 - 32*B^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*
a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^
4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3
*c*d*f^4) + ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 -
256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B
^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^
4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8
*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d
^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*d^11*f^
2 - 24*B^3*a^7*b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*f^2 + 4
4*B^3*a*b^12*c^2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*d^10*f^
2 - 48*B^3*a^8*b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3*b^10*c
^2*d^9*f^2 - 24*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160*B^3*a^
7*b^6*c^2*d^9*f^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4
*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f
^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^
5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 -
16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^
6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*
f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^
2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*
c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(6
8*B^2*a^3*b^12*d^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 + 84*B^
2*a^11*b^4*d^11*f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 128*B^2*
a^2*b^13*c*d^10*f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f^2 - 1
28*B^2*a^10*b^5*c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12*c^2*d
^9*f^2 - 184*B^2*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^2*a^7*
b^8*c^2*d^9*f^2 + 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2 + 60*B
^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2
*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9
*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-((512*B^4*a^4*b^
4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*
B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^
5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*
B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^
2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*
a^6*b^2*d^2*f^4))^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 480*B*
a^10*b^7*d^12*f^4 - 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17*c^4*
d^8*f^4 - 112*B*a*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^10*c*d
^11*f^4 + 480*B*a^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^2*c*d
^11*f^4 + 368*B*a^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a^4*b^
13*c^2*d^10*f^4 + 400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 + 320*
B*a^6*b^11*c^4*d^8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f^4 -
80*B*a^9*b^8*c^3*d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d^9*f^
4 - 192*B*a^12*b^5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c^2*d^
10*f^4 - 96*B*a*b^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6
*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 -
2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (4*(-((512*
B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*
f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 +
896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c
*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^
4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^
2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 2
88*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^
12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a
^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^
5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8
*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^1
0*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*
b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*
c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^
4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 17
6*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a
^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2
*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f
^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c
*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^
2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^
4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^
4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(
a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*
f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*1i)/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2
*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4
*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) + ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 -
16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^
6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*
f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^
2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*
c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3
*B^4*a^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^11*c^2*d^8 - 8*B^4
*a^2*b^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B^4*a^3*b^8*c*d^9
- 32*B^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c
^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8
*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)
- ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*
a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^
5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 -
4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4
+ b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 +
6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*d^11*f^2 - 24*B^
3*a^7*b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*f^2 + 44*B^3*a*b
^12*c^2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*d^10*f^2 - 48*B^
3*a^8*b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3*b^10*c^2*d^9*f^
2 - 24*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160*B^3*a^7*b^6*c^2
*d^9*f^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*
c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^
6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5
- 8*a^7*b^3*c*d*f^5) + ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a
^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2
*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2
) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c
^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 +
4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*B^2*a^3
*b^12*d^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 + 84*B^2*a^11*b^
4*d^11*f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 128*B^2*a^2*b^13*
c*d^10*f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f^2 - 128*B^2*a^
10*b^5*c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12*c^2*d^9*f^2 -
184*B^2*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^2*a^7*b^8*c^2*d
^9*f^2 + 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2 + 60*B^2*a^11*b
^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^
8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4
- 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((-((512*B^4*a^4*b^4*c^2*f^4
- 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b
^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d
*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3
*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4
*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d
^2*f^4))^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 480*B*a^10*b^7*
d^12*f^4 - 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17*c^4*d^8*f^4 -
112*B*a*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^10*c*d^11*f^4 +
480*B*a^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^2*c*d^11*f^4 +
368*B*a^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a^4*b^13*c^2*d^
10*f^4 + 400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 + 320*B*a^6*b^1
1*c^4*d^8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f^4 - 80*B*a^9*
b^8*c^3*d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d^9*f^4 - 192*B
*a^12*b^5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c^2*d^10*f^4 -
96*B*a*b^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*
f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*
c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (4*(-((512*B^4*a^4*b
^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192
*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a
^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16
*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d
^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4
*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^
13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 -
32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c
^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^
3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2
*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4
*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d
^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*
f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^
7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^
4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^
2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^
10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*
b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 -
8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b
^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4
+ 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4
*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f
^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a
^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*1i)/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^
8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4
+ 4*a^6*b^2*d^2*f^4)))/((16*(9*B^5*a^6*b^3*d^10 - B^5*a^2*b^7*d^10 - 4*B^5*a^2*b^7*c^2*d^8 + 4*B^5*a^4*b^5*c^2
*d^8 + 2*B^5*a*b^8*c*d^9 + 6*B^5*a^3*b^6*c*d^9 - 12*B^5*a^5*b^4*c*d^9))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b
^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6
*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*
f^5 - 8*a^7*b^3*c*d*f^5) + ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^
4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*
d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(
1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^
8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^
4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*B^4*a
^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^11*c^2*d^8 - 8*B^4*a^2*b
^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B^4*a^3*b^8*c*d^9 - 32*B
^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4
+ 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d
^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-
((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^
2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*
f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2
*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*
c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*
b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*d^11*f^2 - 24*B^3*a^7*
b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*f^2 + 44*B^3*a*b^12*c^
2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*d^10*f^2 - 48*B^3*a^8*
b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3*b^10*c^2*d^9*f^2 - 24
*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160*B^3*a^7*b^6*c^2*d^9*f
^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^
5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*
d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a
^7*b^3*c*d*f^5) - ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2
*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 -
896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*
B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4
+ a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2
*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*B^2*a^3*b^12*
d^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 + 84*B^2*a^11*b^4*d^11
*f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 128*B^2*a^2*b^13*c*d^10
*f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f^2 - 128*B^2*a^10*b^5
*c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12*c^2*d^9*f^2 - 184*B^
2*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^2*a^7*b^8*c^2*d^9*f^2
+ 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2 + 60*B^2*a^11*b^4*c^2
*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*
c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^
9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*
B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2
*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 +
128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2
+ 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b
^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4
))^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 480*B*a^10*b^7*d^12*f
^4 - 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17*c^4*d^8*f^4 - 112*B
*a*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^10*c*d^11*f^4 + 480*B
*a^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^2*c*d^11*f^4 + 368*B
*a^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a^4*b^13*c^2*d^10*f^4
+ 400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 + 320*B*a^6*b^11*c^4*
d^8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f^4 - 80*B*a^9*b^8*c^
3*d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d^9*f^4 - 192*B*a^12*
b^5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c^2*d^10*f^4 - 96*B*a
*b^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 +
a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^
5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (4*(-((512*B^4*a^4*b^4*c^2
*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a
^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3
*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a
*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4
+ 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b
^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^1
2*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^1
6*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8
*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*
f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*
f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f
^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4
- 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 -
64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12
*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^
11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4
+ 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2
*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^
2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*
b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2
*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a
^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c
^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a
^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6
*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4
+ 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b
^2*d^2*f^4)) - ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^
4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 89
6*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2
*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 +
a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^
6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*B^4*a^2*b^9*d^10
- 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^11*c^2*d^8 - 8*B^4*a^2*b^9*c^2*d^8 +
14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B^4*a^3*b^8*c*d^9 - 32*B^4*a^5*b^6*c
*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4
*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a
*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((-((512*B^4*a^
4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 +
192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^
4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 -
16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^
8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4
+ 4*a^6*b^2*d^2*f^4))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*d^11*f^2 - 24*B^3*a^7*b^6*d^11*f^2
+ 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*f^2 + 44*B^3*a*b^12*c^2*d^9*f^2 -
128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*d^10*f^2 - 48*B^3*a^8*b^5*c*d^10*f
^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3*b^10*c^2*d^9*f^2 - 24*B^3*a^4*b^9
*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160*B^3*a^7*b^6*c^2*d^9*f^2 - 20*B^3*
a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^
6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*
a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f
^5) + ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B
^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3
*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^
2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f
^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4
+ 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*B^2*a^3*b^12*d^11*f^2 + 2
0*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 + 84*B^2*a^11*b^4*d^11*f^2 + 4*B^2
*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 128*B^2*a^2*b^13*c*d^10*f^2 - 112*B
^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f^2 - 128*B^2*a^10*b^5*c*d^10*f^2
- 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12*c^2*d^9*f^2 - 184*B^2*a^4*b^11*c
^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^2*a^7*b^8*c^2*d^9*f^2 + 20*B^2*a^
8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2 + 60*B^2*a^11*b^4*c^2*d^9*f^2))/(
a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^
2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4
- 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*
f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B
^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b
^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^
3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 +
6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((8
*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 480*B*a^10*b^7*d^12*f^4 - 288*B*a
^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17*c^4*d^8*f^4 - 112*B*a*b^16*c^3*
d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^10*c*d^11*f^4 + 480*B*a^9*b^8*c*d
^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^2*c*d^11*f^4 + 368*B*a^2*b^15*c^
2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a^4*b^13*c^2*d^10*f^4 + 400*B*a^4
*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 + 320*B*a^6*b^11*c^4*d^8*f^4 - 64
0*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f^4 - 80*B*a^9*b^8*c^3*d^9*f^4 -
176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d^9*f^4 - 192*B*a^12*b^5*c^2*d^10
*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c^2*d^10*f^4 - 96*B*a*b^16*c*d^11
*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*
f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*
c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (4*(-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^
4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f
^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 1
28*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 +
16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6
*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))
^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*
a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f
^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a
^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^
6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^
8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^1
1*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*
b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*
d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4
+ 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*
a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*
c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*
c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^
4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4
- 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2
*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f
^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a
^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 +
b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6
*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6
*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))
))*(-((512*B^4*a^4*b^4*c^2*f^4 - 16*B^4*b^8*d^2*f^4 - 256*B^4*a^2*b^6*c^2*f^4 - 16*B^4*a^8*d^2*f^4 - 256*B^4*a
^6*b^2*c^2*f^4 + 192*B^4*a^2*b^6*d^2*f^4 - 608*B^4*a^4*b^4*d^2*f^4 + 192*B^4*a^6*b^2*d^2*f^4 - 896*B^4*a^3*b^5
*c*d*f^4 + 896*B^4*a^5*b^3*c*d*f^4 + 128*B^4*a*b^7*c*d*f^4 - 128*B^4*a^7*b*c*d*f^4)^(1/2) - 4*B^2*a^4*c*f^2 -
4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 +
b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6
*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/(2*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4
*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d
^2*f^4)) - (atan((((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*
d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^
2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*
d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^
2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2
*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*B^4*a^2*b^9*d^1
0 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^11*c^2*d^8 - 8*B^4*a^2*b^9*c^2*d^8
+ 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B^4*a^3*b^8*c*d^9 - 32*B^4*a^5*b^6
*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b
^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2
*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-(4*B^2*b^7
*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*
a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b
^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4
*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a
^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 +
3*a^9*b^2*c^2*d*f^2))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*d^11*f^2 - 24*B^3*a^7*b^6*d^11*f^
2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*f^2 + 44*B^3*a*b^12*c^2*d^9*f^2 -
128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*d^10*f^2 - 48*B^3*a^8*b^5*c*d^10*
f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3*b^10*c^2*d^9*f^2 - 24*B^3*a^4*b^
9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160*B^3*a^7*b^6*c^2*d^9*f^2 - 20*B^3
*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b
^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4
*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*
f^5) - ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2
*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b
^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6
*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*
b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12
*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*B^2*a^3*b^12*d^11*f^2 + 2
0*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 + 84*B^2*a^11*b^4*d^11*f^2 + 4*B^2
*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 128*B^2*a^2*b^13*c*d^10*f^2 - 112*B
^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f^2 - 128*B^2*a^10*b^5*c*d^10*f^2
- 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12*c^2*d^9*f^2 - 184*B^2*a^4*b^11*c
^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^2*a^7*b^8*c^2*d^9*f^2 + 20*B^2*a^
8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2 + 60*B^2*a^11*b^4*c^2*d^9*f^2))/(
a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^
2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4
- 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*
a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d
- 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 -
a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d
*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2
*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((8*
(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 480*B*a^10*b^7*d^12*f^4 - 288*B*a^
12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17*c^4*d^8*f^4 - 112*B*a*b^16*c^3*d
^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^10*c*d^11*f^4 + 480*B*a^9*b^8*c*d^
11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^2*c*d^11*f^4 + 368*B*a^2*b^15*c^2
*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a^4*b^13*c^2*d^10*f^4 + 400*B*a^4*
b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 + 320*B*a^6*b^11*c^4*d^8*f^4 - 640
*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f^4 - 80*B*a^9*b^8*c^3*d^9*f^4 - 1
76*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d^9*f^4 - 192*B*a^12*b^5*c^2*d^10*
f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c^2*d^10*f^4 - 96*B*a*b^16*c*d^11*
f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f
^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c
*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (16*(-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^
2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^
5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*
c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*
b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a
^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^
(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a
^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^
4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^
3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6
*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8
*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11
*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b
^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d
^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 +
880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a
^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(1
2*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*
f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 +
36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)*(a^10*d^2*f^4
+ b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4
+ 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c
*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^
2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2
*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2
*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^
10*b*c*d^2*f^2)))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^
4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2)
- b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*
a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)))/(b^9*(8*a^2*c^3*
f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^
5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2
*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 +
2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*1i)/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2
*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2
*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 +
24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d
*f^2 + 6*a^10*b*c*d^2*f^2) + ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B
^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 -
b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 +
4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b
^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*
a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*B^4*
a^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^11*c^2*d^8 - 8*B^4*a^2*
b^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B^4*a^3*b^8*c*d^9 - 32*
B^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^
4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*
d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((
-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^
2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^
2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*
d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d
*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*
c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*d^11*f^2 - 24*B^3*a^7*
b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*f^2 + 44*B^3*a*b^12*c^
2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*d^10*f^2 - 48*B^3*a^8*
b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3*b^10*c^2*d^9*f^2 - 24
*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160*B^3*a^7*b^6*c^2*d^9*f
^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^
5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*
d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a
^7*b^3*c*d*f^5) + ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*
d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^
2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*
d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^
2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2
*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*B^2*a^3*b^12*d
^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 + 84*B^2*a^11*b^4*d^11*
f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 128*B^2*a^2*b^13*c*d^10*
f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f^2 - 128*B^2*a^10*b^5*
c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12*c^2*d^9*f^2 - 184*B^2
*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^2*a^7*b^8*c^2*d^9*f^2
+ 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2 + 60*B^2*a^11*b^4*c^2*
d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c
^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9
*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c
^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a
^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5
*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a
*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*
a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))
^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 480*B*a^10*b^7*d^12*f^4
- 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17*c^4*d^8*f^4 - 112*B*a
*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^10*c*d^11*f^4 + 480*B*a
^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^2*c*d^11*f^4 + 368*B*a
^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a^4*b^13*c^2*d^10*f^4 +
400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 + 320*B*a^6*b^11*c^4*d^
8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f^4 - 80*B*a^9*b^8*c^3*
d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d^9*f^4 - 192*B*a^12*b^
5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c^2*d^10*f^4 - 96*B*a*b
^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^
8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5
- 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (16*(-(4*B^2*b^7*c^2 - 8*B^2
*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d
- 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 -
4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3
*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2
*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c
^2*d*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*
f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*
b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f
^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^
4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^
4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4
+ 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 -
304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64
*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c
*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11
*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^
2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6
*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^
5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)*(a^
10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*
b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 -
8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2
*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2
*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 +
24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d
*f^2 + 6*a^10*b*c*d^2*f^2)))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) +
b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9
*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^
3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)))/(b^9*
(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^
2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 +
24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11
*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*1i)/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^
2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 3
6*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^
7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a
*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))/((16*(9*B^5*a^6*b^3*d^10 - B^5*a^2*b^7*d^10 - 4*B^5*a^2*b^7*c^2*d^8 + 4
*B^5*a^4*b^5*c^2*d^8 + 2*B^5*a*b^8*c*d^9 + 6*B^5*a^3*b^6*c*d^9 - 12*B^5*a^5*b^4*c*d^9))/(a^10*d^2*f^5 + b^10*c
^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4
*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 -
12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2
*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a
^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3
*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2
*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c
*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(c + d*tan(e + f*x))
^(1/2)*(3*B^4*a^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^11*c^2*d^
8 - 8*B^4*a^2*b^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B^4*a^3*b
^8*c*d^9 - 32*B^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*
a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^
4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3
*c*d*f^4) + ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 +
9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*
a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^
2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12
*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2
- 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*d^11*f^2
- 24*B^3*a^7*b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*f^2 + 44
*B^3*a*b^12*c^2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*d^10*f^2
- 48*B^3*a^8*b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3*b^10*c^
2*d^9*f^2 - 24*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160*B^3*a^7
*b^6*c^2*d^9*f^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*
a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^
5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5
*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 -
6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2
- b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^
2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^
2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 +
12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*
B^2*a^3*b^12*d^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 + 84*B^2*
a^11*b^4*d^11*f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 128*B^2*a^
2*b^13*c*d^10*f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f^2 - 128
*B^2*a^10*b^5*c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12*c^2*d^9
*f^2 - 184*B^2*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^2*a^7*b^
8*c^2*d^9*f^2 + 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2 + 60*B^2
*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f
^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c
*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-(4*B^2*b^7*c^2 - 8
*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*
c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f
^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2
*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c
*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b
^2*c^2*d*f^2))^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 480*B*a^1
0*b^7*d^12*f^4 - 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17*c^4*d^8
*f^4 - 112*B*a*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^10*c*d^11
*f^4 + 480*B*a^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^2*c*d^11
*f^4 + 368*B*a^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a^4*b^13*
c^2*d^10*f^4 + 400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 + 320*B*a
^6*b^11*c^4*d^8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f^4 - 80*
B*a^9*b^8*c^3*d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d^9*f^4 -
192*B*a^12*b^5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c^2*d^10*
f^4 - 96*B*a*b^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^
4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*
a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (16*(-(4*B^2*b
^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^
2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4
*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 +
4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12
*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2
+ 3*a^9*b^2*c^2*d*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*
a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*
f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*
b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b
^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^
11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b
^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6
*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2
*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 +
16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a
^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 2
4*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a
^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^
2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*
c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*
c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^
9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2
*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2
+ 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12
*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 -
6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^
8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d
^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) -
b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^
2*f^2)))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2
+ 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2
*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d
*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)))/(b^9*(8*a^2*c^3*f^2 + 6*a
^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*
c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) -
b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^
3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 +
B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6
*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f
^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10
*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a
^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(c + d*tan(e
+ f*x))^(1/2)*(3*B^4*a^2*b^9*d^10 - 3*B^4*a^4*b^7*d^10 + 17*B^4*a^6*b^5*d^10 - 9*B^4*a^8*b^3*d^10 + 6*B^4*b^1
1*c^2*d^8 - 8*B^4*a^2*b^9*c^2*d^8 + 14*B^4*a^4*b^7*c^2*d^8 - 4*B^4*a^6*b^5*c^2*d^8 - 8*B^4*a*b^10*c*d^9 + 12*B
^4*a^3*b^8*c*d^9 - 32*B^4*a^5*b^6*c*d^9 + 12*B^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*
f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^
4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8
*a^7*b^3*c*d*f^4) - ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^
3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*
f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^
6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*
f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c
^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((8*(52*B^3*a^3*b^10*d^11*f^2 - 128*B^3*a^5*b^8*
d^11*f^2 - 24*B^3*a^7*b^6*d^11*f^2 + 160*B^3*a^9*b^4*d^11*f^2 + 4*B^3*a^11*b^2*d^11*f^2 + 12*B^3*b^13*c^3*d^8*
f^2 + 44*B^3*a*b^12*c^2*d^9*f^2 - 128*B^3*a^2*b^11*c*d^10*f^2 + 48*B^3*a^4*b^9*c*d^10*f^2 + 176*B^3*a^6*b^7*c*
d^10*f^2 - 48*B^3*a^8*b^5*c*d^10*f^2 - 48*B^3*a^10*b^3*c*d^10*f^2 - 112*B^3*a^2*b^11*c^3*d^8*f^2 + 192*B^3*a^3
*b^10*c^2*d^9*f^2 - 24*B^3*a^4*b^9*c^3*d^8*f^2 - 72*B^3*a^5*b^8*c^2*d^9*f^2 + 80*B^3*a^6*b^7*c^3*d^8*f^2 - 160
*B^3*a^7*b^6*c^2*d^9*f^2 - 20*B^3*a^8*b^5*c^3*d^8*f^2 + 60*B^3*a^9*b^4*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*
f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^
6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12
*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^
5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11
*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^
8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^
2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^
2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(c + d*tan(e + f*x))^(1
/2)*(68*B^2*a^3*b^12*d^11*f^2 + 20*B^2*a^5*b^10*d^11*f^2 - 88*B^2*a^7*b^8*d^11*f^2 + 40*B^2*a^9*b^6*d^11*f^2 +
84*B^2*a^11*b^4*d^11*f^2 + 4*B^2*a^13*b^2*d^11*f^2 + 36*B^2*b^15*c^3*d^8*f^2 + 36*B^2*a*b^14*c^2*d^9*f^2 - 12
8*B^2*a^2*b^13*c*d^10*f^2 - 112*B^2*a^4*b^11*c*d^10*f^2 + 128*B^2*a^6*b^9*c*d^10*f^2 + 32*B^2*a^8*b^7*c*d^10*f
^2 - 128*B^2*a^10*b^5*c*d^10*f^2 - 48*B^2*a^12*b^3*c*d^10*f^2 - 68*B^2*a^2*b^13*c^3*d^8*f^2 + 204*B^2*a^3*b^12
*c^2*d^9*f^2 - 184*B^2*a^4*b^11*c^3*d^8*f^2 + 200*B^2*a^5*b^10*c^2*d^9*f^2 - 40*B^2*a^6*b^9*c^3*d^8*f^2 - 8*B^
2*a^7*b^8*c^2*d^9*f^2 + 20*B^2*a^8*b^7*c^3*d^8*f^2 + 20*B^2*a^9*b^6*c^2*d^9*f^2 - 20*B^2*a^10*b^5*c^3*d^8*f^2
+ 60*B^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b
^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2
*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((-(4*B^2*b^7
*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*
a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b
^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4
*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a
^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 +
3*a^9*b^2*c^2*d*f^2))^(1/2)*((8*(32*B*a^2*b^15*d^12*f^4 + 96*B*a^4*b^13*d^12*f^4 - 320*B*a^8*b^9*d^12*f^4 - 4
80*B*a^10*b^7*d^12*f^4 - 288*B*a^12*b^5*d^12*f^4 - 64*B*a^14*b^3*d^12*f^4 + 64*B*b^17*c^2*d^10*f^4 + 48*B*b^17
*c^4*d^8*f^4 - 112*B*a*b^16*c^3*d^9*f^4 - 400*B*a^3*b^14*c*d^11*f^4 - 544*B*a^5*b^12*c*d^11*f^4 - 80*B*a^7*b^1
0*c*d^11*f^4 + 480*B*a^9*b^8*c*d^11*f^4 + 464*B*a^11*b^6*c*d^11*f^4 + 160*B*a^13*b^4*c*d^11*f^4 + 16*B*a^15*b^
2*c*d^11*f^4 + 368*B*a^2*b^15*c^2*d^10*f^4 + 224*B*a^2*b^15*c^4*d^8*f^4 - 512*B*a^3*b^14*c^3*d^9*f^4 + 832*B*a
^4*b^13*c^2*d^10*f^4 + 400*B*a^4*b^13*c^4*d^8*f^4 - 880*B*a^5*b^12*c^3*d^9*f^4 + 880*B*a^6*b^11*c^2*d^10*f^4 +
320*B*a^6*b^11*c^4*d^8*f^4 - 640*B*a^7*b^10*c^3*d^9*f^4 + 320*B*a^8*b^9*c^2*d^10*f^4 + 80*B*a^8*b^9*c^4*d^8*f
^4 - 80*B*a^9*b^8*c^3*d^9*f^4 - 176*B*a^10*b^7*c^2*d^10*f^4 - 32*B*a^10*b^7*c^4*d^8*f^4 + 128*B*a^11*b^6*c^3*d
^9*f^4 - 192*B*a^12*b^5*c^2*d^10*f^4 - 16*B*a^12*b^5*c^4*d^8*f^4 + 48*B*a^13*b^4*c^3*d^9*f^4 - 48*B*a^14*b^3*c
^2*d^10*f^4 - 96*B*a*b^16*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 +
4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*
f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (16*(-
(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2
+ 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2
- 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d
^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*
f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c
*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^
4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b
^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 +
272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 9
12*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 56
0*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 4
8*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*
a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16
*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^
11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4
+ 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3
*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) -
b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*
c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6
*a^10*b*c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 +
a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^
4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(b^9*(8*a^2*c^3*f^2 + 6*a
^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*
c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) -
b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^
3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2
+ 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*
(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*
d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^1
0*b*c*d^2*f^2)))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4
*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2)
- b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a
^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)))/(b^9*(8*a^2*c^3*f
^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5
*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*
d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2
*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)))*(-(4*B^2*b^7*c^2 - 8*B^2*a^2*b^5*c^2 + 4*B^2*a^4*b^
3*c^2 + B^2*a^2*b^5*d^2 - 6*B^2*a^4*b^3*d^2 + 9*B^2*a^6*b*d^2 + 16*B^2*a^3*b^4*c*d - 12*B^2*a^5*b^2*c*d - 4*B^
2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^
3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 -
3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2
- 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*2i)/(b^9*(
8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2
*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 +
24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*
d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - (atan((((((512*C^4*a^4*b^4*c^2*f^4 - 16*
C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2
*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 +
128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2
+ 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b
^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4
))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 17*C^4*a^6*b^5*d^10 - 7*C^
4*a^8*b^3*d^10 + 2*C^4*b^11*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C^4*a^4*b^7*c^2*d^8 - 4*C^
4*a*b^10*c*d^9 + 16*C^4*a^3*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*
f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^
6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12
*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2
*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*
C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*
b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^
2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^
6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(8*C^3*a^6*b^7*d^11*f^2
- 78*C^3*a^4*b^9*d^11*f^2 + 60*C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C^3*a^12*b*d^11*f^2 - 32*C
^3*a*b^12*c^3*d^8*f^2 + 152*C^3*a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64*C^3*a^7*b^6*c*d^10*f^2 -
32*C^3*a^9*b^4*c*d^10*f^2 + 8*C^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2 + 64*C^3*a^3*b^10*c^3*d^8
*f^2 - 216*C^3*a^4*b^9*c^2*d^9*f^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2*d^9*f^2 + 56*C^3*a^8*b^5
*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*
b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 -
2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((((512*C^4*a^4*b^4*c^2*f^4
- 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^
6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*
f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*
d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*
a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^
2*f^4))^(1/2)*((16*(40*C*a^3*b^14*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10*d^12*f^4 + 320*C*a^9*b^8
*d^12*f^4 + 120*C*a^11*b^6*d^12*f^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*f^4
+ 32*C*a*b^16*c^4*d^8*f^4 - 88*C*a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 920*C*a^6*b^11*c*d^11*f^4 -
960*C*a^8*b^9*c*d^11*f^4 - 520*C*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^4 -
32*C*a^2*b^15*c^3*d^9*f^4 + 256*C*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*d^9*
f^4 + 680*C*a^5*b^12*c^2*d^10*f^4 + 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^10*c
^2*d^10*f^4 + 320*C*a^7*b^10*c^4*d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*c^2*d^10*f^4 + 160*C*a^9*
b^8*c^4*d^8*f^4 - 352*C*a^10*b^7*c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 72*C*
a^12*b^5*c^3*d^9*f^4 + 56*C*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b
^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4
*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*
f^5) - (4*(((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256
*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a
^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*
f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2
*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f
^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*
b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4
- 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2
*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4
*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*
d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*
d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^
8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f
^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a
^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^
6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 +
b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^
4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^
4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*
d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8
*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d
^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) + (16*(c + d*tan(e + f*x))^(1/2)*(20*C^2*a^5*b^10*d^11*f^2 -
60*C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C^2*a^11*b^4*d^11*f^2 + 4*C
^2*a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*b^14*c^2*d^9*f^2 + 100*C^2
*a^2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*C^2*a^10*b^5*c*d^10*f^2 +
32*C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9*f^2 + 216*C^2*a^4*b^11*c^
3*d^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^8*c^2*d^9*f^2 - 68*C^2*a^8
*b^7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*a^11*b^4*c^2*d^9*f^2))/(a^
10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*
b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 -
8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 -
256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^
4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*
d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d
*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^
4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2))/(4*(a^8
*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4
+ 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 +
b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f
^4 + 4*a^6*b^2*d^2*f^4)))*1i)/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 +
6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) + ((((512*
C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*
f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 +
896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c
*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^
4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^
2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 1
7*C^4*a^6*b^5*d^10 - 7*C^4*a^8*b^3*d^10 + 2*C^4*b^11*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C
^4*a^4*b^7*c^2*d^8 - 4*C^4*a*b^10*c*d^9 + 16*C^4*a^3*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/
(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a
^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4
- 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*
f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C
^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b
^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^
3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 +
6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((1
6*(8*C^3*a^6*b^7*d^11*f^2 - 78*C^3*a^4*b^9*d^11*f^2 + 60*C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C
^3*a^12*b*d^11*f^2 - 32*C^3*a*b^12*c^3*d^8*f^2 + 152*C^3*a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64
*C^3*a^7*b^6*c*d^10*f^2 - 32*C^3*a^9*b^4*c*d^10*f^2 + 8*C^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2
+ 64*C^3*a^3*b^10*c^3*d^8*f^2 - 216*C^3*a^4*b^9*c^2*d^9*f^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2
*d^9*f^2 + 56*C^3*a^8*b^5*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 +
4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2
*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((((
(512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2
*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f
^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*
b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c
^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b
^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(40*C*a^3*b^14*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10
*d^12*f^4 + 320*C*a^9*b^8*d^12*f^4 + 120*C*a^11*b^6*d^12*f^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 +
40*C*a*b^16*c^2*d^10*f^4 + 32*C*a*b^16*c^4*d^8*f^4 - 88*C*a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 92
0*C*a^6*b^11*c*d^11*f^4 - 960*C*a^8*b^9*c*d^11*f^4 - 520*C*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8
*C*a^14*b^3*c*d^11*f^4 - 32*C*a^2*b^15*c^3*d^9*f^4 + 256*C*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4
- 280*C*a^4*b^13*c^3*d^9*f^4 + 680*C*a^5*b^12*c^2*d^10*f^4 + 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d
^9*f^4 + 960*C*a^7*b^10*c^2*d^10*f^4 + 320*C*a^7*b^10*c^4*d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*
c^2*d^10*f^4 + 160*C*a^9*b^8*c^4*d^8*f^4 - 352*C*a^10*b^7*c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^1
1*b^6*c^4*d^8*f^4 - 72*C*a^12*b^5*c^3*d^9*f^4 + 56*C*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*
a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^
5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5
*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (4*(((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 -
16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^
6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*
f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^
2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*
c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2
*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4
- 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d
^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^
10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^
8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9
*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10
*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^
4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^
3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8
*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8
*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d
^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c
^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8
*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)
)))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*
b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - (16*(c + d*tan(e + f*x))^(1/2)*(20
*C^2*a^5*b^10*d^11*f^2 - 60*C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C^
2*a^11*b^4*d^11*f^2 + 4*C^2*a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*b
^14*c^2*d^9*f^2 + 100*C^2*a^2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*C
^2*a^10*b^5*c*d^10*f^2 + 32*C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9*
f^2 + 216*C^2*a^4*b^11*c^3*d^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^8
*c^2*d^9*f^2 - 68*C^2*a^8*b^7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*a
^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4
+ a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d
*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(((512*C^4*a^4*b^4*c^2*f
^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2
*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c
*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b
^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 +
4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2
*d^2*f^4))^(1/2))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^
2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^
8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*
d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*1i)/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f
^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6
*b^2*d^2*f^4)))/((32*(3*C^5*a^3*b^6*d^10 - C^5*a^5*b^4*d^10 + 4*C^5*a*b^8*c^2*d^8 - 7*C^5*a^2*b^7*c*d^9 + C^5*
a^4*b^5*c*d^9))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8
*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 -
2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((512*C^4*a^4*b^4*c^2*f^4 -
16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6
*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f
^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d
*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a
^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2
*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 17*C^4*a^6*b^5*d^10 -
7*C^4*a^8*b^3*d^10 + 2*C^4*b^11*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C^4*a^4*b^7*c^2*d^8 -
4*C^4*a*b^10*c*d^9 + 16*C^4*a^3*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*
c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^
4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4
- 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6
*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 +
192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*
a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^
2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 +
4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(8*C^3*a^6*b^7*d^11
*f^2 - 78*C^3*a^4*b^9*d^11*f^2 + 60*C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C^3*a^12*b*d^11*f^2 -
32*C^3*a*b^12*c^3*d^8*f^2 + 152*C^3*a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64*C^3*a^7*b^6*c*d^10*f
^2 - 32*C^3*a^9*b^4*c*d^10*f^2 + 8*C^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2 + 64*C^3*a^3*b^10*c^3
*d^8*f^2 - 216*C^3*a^4*b^9*c^2*d^9*f^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2*d^9*f^2 + 56*C^3*a^8
*b^5*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 +
a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^
5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((((512*C^4*a^4*b^4*c^2*
f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^
2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*
c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*
b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4
+ 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^
2*d^2*f^4))^(1/2)*((16*(40*C*a^3*b^14*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10*d^12*f^4 + 320*C*a^9
*b^8*d^12*f^4 + 120*C*a^11*b^6*d^12*f^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*
f^4 + 32*C*a*b^16*c^4*d^8*f^4 - 88*C*a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 920*C*a^6*b^11*c*d^11*f
^4 - 960*C*a^8*b^9*c*d^11*f^4 - 520*C*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^
4 - 32*C*a^2*b^15*c^3*d^9*f^4 + 256*C*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*
d^9*f^4 + 680*C*a^5*b^12*c^2*d^10*f^4 + 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^
10*c^2*d^10*f^4 + 320*C*a^7*b^10*c^4*d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*c^2*d^10*f^4 + 160*C*
a^9*b^8*c^4*d^8*f^4 - 352*C*a^10*b^7*c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 7
2*C*a^12*b^5*c^3*d^9*f^4 + 56*C*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a
^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5
+ 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*
c*d*f^5) - (4*(((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 -
256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C
^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^
4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8
*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d
^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*
a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*
f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17
*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15
*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*
c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*
c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^
4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d
^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 4
64*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^1
3*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^
4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^
2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^
2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^
9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 +
a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b
^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) + (16*(c + d*tan(e + f*x))^(1/2)*(20*C^2*a^5*b^10*d^11*f^
2 - 60*C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C^2*a^11*b^4*d^11*f^2 +
4*C^2*a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*b^14*c^2*d^9*f^2 + 100
*C^2*a^2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*C^2*a^10*b^5*c*d^10*f^
2 + 32*C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9*f^2 + 216*C^2*a^4*b^1
1*c^3*d^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^8*c^2*d^9*f^2 - 68*C^2
*a^8*b^7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*a^11*b^4*c^2*d^9*f^2))
/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 +
a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^
4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f
^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^
4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^
7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3
*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 +
6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2))/(4*
(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2
*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f
^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d
^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 +
6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) + ((((512
*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2
*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 +
896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*
c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f
^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d
^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 +
17*C^4*a^6*b^5*d^10 - 7*C^4*a^8*b^3*d^10 + 2*C^4*b^11*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*
C^4*a^4*b^7*c^2*d^8 - 4*C^4*a*b^10*c*d^9 + 16*C^4*a^3*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))
/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 +
a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^
4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2
*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*
C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*
b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a
^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4
+ 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((
16*(8*C^3*a^6*b^7*d^11*f^2 - 78*C^3*a^4*b^9*d^11*f^2 + 60*C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*
C^3*a^12*b*d^11*f^2 - 32*C^3*a*b^12*c^3*d^8*f^2 + 152*C^3*a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 6
4*C^3*a^7*b^6*c*d^10*f^2 - 32*C^3*a^9*b^4*c*d^10*f^2 + 8*C^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2
+ 64*C^3*a^3*b^10*c^3*d^8*f^2 - 216*C^3*a^4*b^9*c^2*d^9*f^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^
2*d^9*f^2 + 56*C^3*a^8*b^5*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5
+ 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^
2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((
((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^
2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*
f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2
*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*
c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*
b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(40*C*a^3*b^14*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^1
0*d^12*f^4 + 320*C*a^9*b^8*d^12*f^4 + 120*C*a^11*b^6*d^12*f^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 +
40*C*a*b^16*c^2*d^10*f^4 + 32*C*a*b^16*c^4*d^8*f^4 - 88*C*a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 9
20*C*a^6*b^11*c*d^11*f^4 - 960*C*a^8*b^9*c*d^11*f^4 - 520*C*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 -
8*C*a^14*b^3*c*d^11*f^4 - 32*C*a^2*b^15*c^3*d^9*f^4 + 256*C*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4
- 280*C*a^4*b^13*c^3*d^9*f^4 + 680*C*a^5*b^12*c^2*d^10*f^4 + 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*
d^9*f^4 + 960*C*a^7*b^10*c^2*d^10*f^4 + 320*C*a^7*b^10*c^4*d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8
*c^2*d^10*f^4 + 160*C*a^9*b^8*c^4*d^8*f^4 - 352*C*a^10*b^7*c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^
11*b^6*c^4*d^8*f^4 - 72*C*a^12*b^5*c^3*d^9*f^4 + 56*C*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4
*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f
^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^
5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (4*(((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4
- 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a
^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d
*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f
^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2
*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^
2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^
4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*
d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d
^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d
^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^
9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^1
0*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f
^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a
^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^
8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^
8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*
d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*
c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^
8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4
))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6
*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - (16*(c + d*tan(e + f*x))^(1/2)*(2
0*C^2*a^5*b^10*d^11*f^2 - 60*C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C
^2*a^11*b^4*d^11*f^2 + 4*C^2*a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*
b^14*c^2*d^9*f^2 + 100*C^2*a^2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*
C^2*a^10*b^5*c*d^10*f^2 + 32*C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9
*f^2 + 216*C^2*a^4*b^11*c^3*d^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^
8*c^2*d^9*f^2 - 68*C^2*a^8*b^7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*
a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^
4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*
d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(((512*C^4*a^4*b^4*c^2*
f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^
2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*
c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*
b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4
+ 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^
2*d^2*f^4))^(1/2))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c
^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a
^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6
*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4
+ 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b
^2*d^2*f^4))))*(((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4
- 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*
C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) - 4*C^2*a
^4*c*f^2 - 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^
8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*
d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/(2*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*
d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 +
4*a^6*b^2*d^2*f^4)) - (atan((((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*
C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^
2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)
^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(
a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*
f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(2*C^4
*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 17*C^4*a^6*b^5*d^10 - 7*C^4*a^8*b^3*d^10 + 2*C^4*b^11*c^2*d^8 + C^4*a^10*
b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C^4*a^4*b^7*c^2*d^8 - 4*C^4*a*b^10*c*d^9 + 16*C^4*a^3*b^8*c*d^9 - 36*C^4*
a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4
*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f
^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-((51
2*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^
2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4
+ 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4
*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*
f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*
d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(8*C^3*a^6*b^7*d^11*f^2 - 78*C^3*a^4*b^9*d^11*f^2 + 60*C^3*a^8*b^5*d^
11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C^3*a^12*b*d^11*f^2 - 32*C^3*a*b^12*c^3*d^8*f^2 + 152*C^3*a^3*b^10*c*d^1
0*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64*C^3*a^7*b^6*c*d^10*f^2 - 32*C^3*a^9*b^4*c*d^10*f^2 + 8*C^3*a^11*b^2*c*
d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2 + 64*C^3*a^3*b^10*c^3*d^8*f^2 - 216*C^3*a^4*b^9*c^2*d^9*f^2 + 96*C^3*a^
5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2*d^9*f^2 + 56*C^3*a^8*b^5*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 +
4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*
f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b
^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^
4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4
*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c
*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c
*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b
^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(40*C*a^3*b^14*d^12*f^4 +
192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10*d^12*f^4 + 320*C*a^9*b^8*d^12*f^4 + 120*C*a^11*b^6*d^12*f^4 - 8*C*a^1
5*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*f^4 + 32*C*a*b^16*c^4*d^8*f^4 - 88*C*a^2*b^15*c*d
^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 920*C*a^6*b^11*c*d^11*f^4 - 960*C*a^8*b^9*c*d^11*f^4 - 520*C*a^10*b^7*c*
d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^4 - 32*C*a^2*b^15*c^3*d^9*f^4 + 256*C*a^3*b^14*c^
2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*d^9*f^4 + 680*C*a^5*b^12*c^2*d^10*f^4 + 320*C*a^5
*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^10*c^2*d^10*f^4 + 320*C*a^7*b^10*c^4*d^8*f^4 - 68
0*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*c^2*d^10*f^4 + 160*C*a^9*b^8*c^4*d^8*f^4 - 352*C*a^10*b^7*c^3*d^9*f^4
+ 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 72*C*a^12*b^5*c^3*d^9*f^4 + 56*C*a^13*b^4*c^2*d^10
*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*
f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*
c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (4*(-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^
4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f
^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 1
28*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 -
16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6
*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))
^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*
a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f
^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a
^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^
6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^
8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^1
1*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*
b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*
d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4
+ 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*
a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*
c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*
c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^
4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4
- 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2
*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f
^4)) + (16*(c + d*tan(e + f*x))^(1/2)*(20*C^2*a^5*b^10*d^11*f^2 - 60*C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^8*d
^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C^2*a^11*b^4*d^11*f^2 + 4*C^2*a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^8*f
^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*b^14*c^2*d^9*f^2 + 100*C^2*a^2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*d^1
0*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*C^2*a^10*b^5*c*d^10*f^2 + 32*C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*b^1
3*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9*f^2 + 216*C^2*a^4*b^11*c^3*d^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 + 8*
C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^8*c^2*d^9*f^2 - 68*C^2*a^8*b^7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9*f^
2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^
4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*
d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a
^7*b^3*c*d*f^4))*(-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f
^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 8
96*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^
2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 +
a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b
^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*
d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 +
4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^
4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*1i)/(4*(a^8*c^2*f
^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a
^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) + ((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 -
256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^
4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*
d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d
*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^
4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c
+ d*tan(e + f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 17*C^4*a^6*b^5*d^10 - 7*C^4*a^8*b^3*d^10 +
2*C^4*b^11*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C^4*a^4*b^7*c^2*d^8 - 4*C^4*a*b^10*c*d^9 +
16*C^4*a^3*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c
^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6
*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4
- 8*a^7*b^3*c*d*f^4) - ((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^
8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*
f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2)
+ 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^
2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 +
4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(8*C^3*a^6*b^7*d^11*f^2 - 78*C^3*a^4*b^
9*d^11*f^2 + 60*C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C^3*a^12*b*d^11*f^2 - 32*C^3*a*b^12*c^3*d^
8*f^2 + 152*C^3*a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64*C^3*a^7*b^6*c*d^10*f^2 - 32*C^3*a^9*b^4*
c*d^10*f^2 + 8*C^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2 + 64*C^3*a^3*b^10*c^3*d^8*f^2 - 216*C^3*a
^4*b^9*c^2*d^9*f^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2*d^9*f^2 + 56*C^3*a^8*b^5*c^2*d^9*f^2))/(
a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^
2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5
- 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^
2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608
*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a
*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*
a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4
+ 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(
(16*(40*C*a^3*b^14*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10*d^12*f^4 + 320*C*a^9*b^8*d^12*f^4 + 120
*C*a^11*b^6*d^12*f^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*f^4 + 32*C*a*b^16*c
^4*d^8*f^4 - 88*C*a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 920*C*a^6*b^11*c*d^11*f^4 - 960*C*a^8*b^9*
c*d^11*f^4 - 520*C*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^4 - 32*C*a^2*b^15*c
^3*d^9*f^4 + 256*C*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*d^9*f^4 + 680*C*a^5
*b^12*c^2*d^10*f^4 + 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^10*c^2*d^10*f^4 + 3
20*C*a^7*b^10*c^4*d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*c^2*d^10*f^4 + 160*C*a^9*b^8*c^4*d^8*f^4
- 352*C*a^10*b^7*c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 72*C*a^12*b^5*c^3*d^
9*f^4 + 56*C*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*
a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^
5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (4*(-((5
12*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c
^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4
+ 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^
4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2
*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4
*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4
+ 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5
*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 27
2*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912
*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*
a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*
a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^
13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b
^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11
*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 +
176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 +
4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*
d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^
2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*
b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8
*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4
*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - (16*(c + d*tan(e + f*x))^(1/2)*(20*C^2*a^5*b^10*d^11*f^2 - 60*C^2*a^3*b^1
2*d^11*f^2 + 168*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C^2*a^11*b^4*d^11*f^2 + 4*C^2*a^13*b^2*d^
11*f^2 - 20*C^2*b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*b^14*c^2*d^9*f^2 + 100*C^2*a^2*b^13*c*d^
10*f^2 - 300*C^2*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*C^2*a^10*b^5*c*d^10*f^2 + 32*C^2*a^12*b^
3*c*d^10*f^2 + 116*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9*f^2 + 216*C^2*a^4*b^11*c^3*d^8*f^2 - 40
*C^2*a^5*b^10*c^2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^8*c^2*d^9*f^2 - 68*C^2*a^8*b^7*c^3*d^8*f
^2 + 60*C^2*a^9*b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b
^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 +
4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*
f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*
b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4
+ 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C
^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2
*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4
+ 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2))/(4*(a^8*c^2*f^4 + a^
8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*
d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4
+ 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^
2*d^2*f^4)))*1i)/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2
*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))/((32*(3*C^5*a^3*b^6*d^
10 - C^5*a^5*b^4*d^10 + 4*C^5*a*b^8*c^2*d^8 - 7*C^5*a^2*b^7*c*d^9 + C^5*a^4*b^5*c*d^9))/(a^10*d^2*f^5 + b^10*c
^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4
*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 -
12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6
*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 +
192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*
a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^
2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 +
4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x)
)^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 17*C^4*a^6*b^5*d^10 - 7*C^4*a^8*b^3*d^10 + 2*C^4*b^11*c^2*d
^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C^4*a^4*b^7*c^2*d^8 - 4*C^4*a*b^10*c*d^9 + 16*C^4*a^3*b^8*c
*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b
^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4
*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*
f^4) + ((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*
C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^
3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f
^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*
f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^
4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(8*C^3*a^6*b^7*d^11*f^2 - 78*C^3*a^4*b^9*d^11*f^2 + 60*
C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C^3*a^12*b*d^11*f^2 - 32*C^3*a*b^12*c^3*d^8*f^2 + 152*C^3*
a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64*C^3*a^7*b^6*c*d^10*f^2 - 32*C^3*a^9*b^4*c*d^10*f^2 + 8*C
^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2 + 64*C^3*a^3*b^10*c^3*d^8*f^2 - 216*C^3*a^4*b^9*c^2*d^9*f
^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2*d^9*f^2 + 56*C^3*a^8*b^5*c^2*d^9*f^2))/(a^10*d^2*f^5 + b
^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 +
4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*
f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*
a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2
*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 1
28*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24
*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2
*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(40*C*a^3*b^
14*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10*d^12*f^4 + 320*C*a^9*b^8*d^12*f^4 + 120*C*a^11*b^6*d^12
*f^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*f^4 + 32*C*a*b^16*c^4*d^8*f^4 - 88*
C*a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 920*C*a^6*b^11*c*d^11*f^4 - 960*C*a^8*b^9*c*d^11*f^4 - 520
*C*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^4 - 32*C*a^2*b^15*c^3*d^9*f^4 + 256
*C*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*d^9*f^4 + 680*C*a^5*b^12*c^2*d^10*f
^4 + 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^10*c^2*d^10*f^4 + 320*C*a^7*b^10*c^
4*d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*c^2*d^10*f^4 + 160*C*a^9*b^8*c^4*d^8*f^4 - 352*C*a^10*b^
7*c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 72*C*a^12*b^5*c^3*d^9*f^4 + 56*C*a^1
3*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5
+ a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*
f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (4*(-((512*C^4*a^4*b^4*c
^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4
*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b
^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2
*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f
^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6
*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d
^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a
^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d
^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^
9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^1
0*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8
*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f
^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4
- 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^
12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*
d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^
4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d
^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*
d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^
3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d
^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4
*a^6*b^2*d^2*f^4)) + (16*(c + d*tan(e + f*x))^(1/2)*(20*C^2*a^5*b^10*d^11*f^2 - 60*C^2*a^3*b^12*d^11*f^2 + 168
*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C^2*a^11*b^4*d^11*f^2 + 4*C^2*a^13*b^2*d^11*f^2 - 20*C^2*
b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*b^14*c^2*d^9*f^2 + 100*C^2*a^2*b^13*c*d^10*f^2 - 300*C^2
*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*C^2*a^10*b^5*c*d^10*f^2 + 32*C^2*a^12*b^3*c*d^10*f^2 + 1
16*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9*f^2 + 216*C^2*a^4*b^11*c^3*d^8*f^2 - 40*C^2*a^5*b^10*c^
2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^8*c^2*d^9*f^2 - 68*C^2*a^8*b^7*c^3*d^8*f^2 + 60*C^2*a^9*
b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*
a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^
4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5
*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16
*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b
^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4
)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*
(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2
*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*
c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*
b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*
f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4
*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^
2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) + ((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^
8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 -
608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C
^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*
C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2
*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/
2)*((16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*a^2*b^9*d^10 - 5*C^4*a^4*b^7*d^10 + 17*C^4*a^6*b^5*d^10 - 7*C^4*a^8*
b^3*d^10 + 2*C^4*b^11*c^2*d^8 + C^4*a^10*b*d^10 - 12*C^4*a^2*b^9*c^2*d^8 + 18*C^4*a^4*b^7*c^2*d^8 - 4*C^4*a*b^
10*c*d^9 + 16*C^4*a^3*b^8*c*d^9 - 36*C^4*a^5*b^6*c*d^9 + 8*C^4*a^7*b^4*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 +
4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*
f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b
^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4
- 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a
^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d
*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f
^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2
*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(8*C^3*a^6*b^7*d^11*f^2 - 78
*C^3*a^4*b^9*d^11*f^2 + 60*C^3*a^8*b^5*d^11*f^2 - 24*C^3*a^10*b^3*d^11*f^2 + 2*C^3*a^12*b*d^11*f^2 - 32*C^3*a*
b^12*c^3*d^8*f^2 + 152*C^3*a^3*b^10*c*d^10*f^2 + 128*C^3*a^5*b^8*c*d^10*f^2 - 64*C^3*a^7*b^6*c*d^10*f^2 - 32*C
^3*a^9*b^4*c*d^10*f^2 + 8*C^3*a^11*b^2*c*d^10*f^2 - 40*C^3*a^2*b^11*c^2*d^9*f^2 + 64*C^3*a^3*b^10*c^3*d^8*f^2
- 216*C^3*a^4*b^9*c^2*d^9*f^2 + 96*C^3*a^5*b^8*c^3*d^8*f^2 - 120*C^3*a^6*b^7*c^2*d^9*f^2 + 56*C^3*a^8*b^5*c^2*
d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c
^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9
*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((-((512*C^4*a^4*b^4*c^2*f^4 - 16
*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^
2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4
+ 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^
2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*
b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^
4))^(1/2)*((16*(40*C*a^3*b^14*d^12*f^4 + 192*C*a^5*b^12*d^12*f^4 + 360*C*a^7*b^10*d^12*f^4 + 320*C*a^9*b^8*d^1
2*f^4 + 120*C*a^11*b^6*d^12*f^4 - 8*C*a^15*b^2*d^12*f^4 + 8*C*b^17*c^3*d^9*f^4 + 40*C*a*b^16*c^2*d^10*f^4 + 32
*C*a*b^16*c^4*d^8*f^4 - 88*C*a^2*b^15*c*d^11*f^4 - 448*C*a^4*b^13*c*d^11*f^4 - 920*C*a^6*b^11*c*d^11*f^4 - 960
*C*a^8*b^9*c*d^11*f^4 - 520*C*a^10*b^7*c*d^11*f^4 - 128*C*a^12*b^5*c*d^11*f^4 - 8*C*a^14*b^3*c*d^11*f^4 - 32*C
*a^2*b^15*c^3*d^9*f^4 + 256*C*a^3*b^14*c^2*d^10*f^4 + 160*C*a^3*b^14*c^4*d^8*f^4 - 280*C*a^4*b^13*c^3*d^9*f^4
+ 680*C*a^5*b^12*c^2*d^10*f^4 + 320*C*a^5*b^12*c^4*d^8*f^4 - 640*C*a^6*b^11*c^3*d^9*f^4 + 960*C*a^7*b^10*c^2*d
^10*f^4 + 320*C*a^7*b^10*c^4*d^8*f^4 - 680*C*a^8*b^9*c^3*d^9*f^4 + 760*C*a^9*b^8*c^2*d^10*f^4 + 160*C*a^9*b^8*
c^4*d^8*f^4 - 352*C*a^10*b^7*c^3*d^9*f^4 + 320*C*a^11*b^6*c^2*d^10*f^4 + 32*C*a^11*b^6*c^4*d^8*f^4 - 72*C*a^12
*b^5*c^3*d^9*f^4 + 56*C*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c
^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8
*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5)
+ (4*(-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^
4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*
b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2
+ 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^
4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4
+ 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^1
5*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 1
60*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^
10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^
8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9
*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^1
0*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f
^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4
- 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*
b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c
*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8
*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 +
4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 +
a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f
^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^
2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*
f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - (16*(c + d*tan(e + f*x))^(1/2)*(20*C^2*a^5*b^10*d^11*f^2 - 60*
C^2*a^3*b^12*d^11*f^2 + 168*C^2*a^7*b^8*d^11*f^2 + 40*C^2*a^9*b^6*d^11*f^2 - 44*C^2*a^11*b^4*d^11*f^2 + 4*C^2*
a^13*b^2*d^11*f^2 - 20*C^2*b^15*c^3*d^8*f^2 - 4*C^2*a^14*b*c*d^10*f^2 - 20*C^2*a*b^14*c^2*d^9*f^2 + 100*C^2*a^
2*b^13*c*d^10*f^2 - 300*C^2*a^6*b^9*c*d^10*f^2 - 160*C^2*a^8*b^7*c*d^10*f^2 + 76*C^2*a^10*b^5*c*d^10*f^2 + 32*
C^2*a^12*b^3*c*d^10*f^2 + 116*C^2*a^2*b^13*c^3*d^8*f^2 - 124*C^2*a^3*b^12*c^2*d^9*f^2 + 216*C^2*a^4*b^11*c^3*d
^8*f^2 - 40*C^2*a^5*b^10*c^2*d^9*f^2 + 8*C^2*a^6*b^9*c^3*d^8*f^2 + 168*C^2*a^7*b^8*c^2*d^9*f^2 - 68*C^2*a^8*b^
7*c^3*d^8*f^2 + 60*C^2*a^9*b^6*c^2*d^9*f^2 + 4*C^2*a^10*b^5*c^3*d^8*f^2 - 44*C^2*a^11*b^4*c^2*d^9*f^2))/(a^10*
d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8
*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a
^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-((512*C^4*a^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 2
56*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 + 192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*
b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*
f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f
^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*
b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2))/(4*(a^8*c
^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 +
4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b
^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4
+ 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4
*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))*(-((512*C^4*a
^4*b^4*c^2*f^4 - 16*C^4*b^8*d^2*f^4 - 256*C^4*a^2*b^6*c^2*f^4 - 16*C^4*a^8*d^2*f^4 - 256*C^4*a^6*b^2*c^2*f^4 +
192*C^4*a^2*b^6*d^2*f^4 - 608*C^4*a^4*b^4*d^2*f^4 + 192*C^4*a^6*b^2*d^2*f^4 - 896*C^4*a^3*b^5*c*d*f^4 + 896*C
^4*a^5*b^3*c*d*f^4 + 128*C^4*a*b^7*c*d*f^4 - 128*C^4*a^7*b*c*d*f^4)^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2
+ 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b
^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4
+ 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/(2*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4
+ 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - (atan
(((((16*(c + d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A^4*a^6*b^5*
d^10 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 - 24*A^4*a^3*
b^8*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^
6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4
- 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((((512*A^
4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^
4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 89
6*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f
^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4
+ b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*
f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(2*A^3*b^13*d^11*f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4*b^9*d^11*f^
2 - 120*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^3*d^8*f^2 +
208*A^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b^11*c^2*d^9*
f^2 + 64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216*A^3*a^6*b^7
*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*
b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 -
2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((512*A^4*a^4*b^4*c^2*f^4 -
16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*
d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^
4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*
f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^
2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*
f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^3*b^12*d^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2 + 552*A^2*a^
7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^11*b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 - 20*A^2*b^15*c
^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10*f^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a^2*b^13*c*d^1
0*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*c*d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 80*A^2*a^10*b^
5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^2*b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d^9*f^2 + 216*
A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^2 + 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7*b^8*c^2*d^9*
f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2*d^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*A^2*a^11*b^4*
c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b
^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2
*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((((512*A^4*a^4*b^4*c^2*f^4 - 1
6*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d
^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4
+ 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f
^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2
*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f
^4))^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 16*A*b^17*c*d^11*f^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f
^4 + 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*b^8*d^12*f^4 + 216*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A
*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4 + 56*A*a*b^16*c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^1
5*c*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4 - 1240*A*a^6*b^11*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10
*b^7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f^4 - 8*A*a^14*b^3*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3
*b^14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d^8*f^4 - 520*A*a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 3
20*A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^11*c^3*d^9*f^4 + 1280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8
*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A*a^9*b^8*c^2*d^10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^
3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 + 32*A*a^11*b^6*c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^
4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^
8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5
- 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (4*(((512*A^4*a^4*b^4*c^2*f^
4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*
b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*
d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^
3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 +
4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*
d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f
^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b
^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^
4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4
+ 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4
+ 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4
+ 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 -
304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*
a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*
d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*
f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6
*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^
4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f
^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7
*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^
4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*
b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*
f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*
d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^
2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*(((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2
*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^
4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*
A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^
2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^
4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/(4*(a^8*c^2*f^4
+ a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*
b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) + (((16*(c + d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*A^
4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A^4*a^6*b^5*d^10 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 18*
A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 - 24*A^4*a^3*b^8*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^10*
c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^
4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4
- 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6
*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 +
192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*
a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^
2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 +
4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(2*A^3*b^13*d^11*f^
2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4*b^9*d^11*f^2 - 120*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2 +
8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^3*d^8*f^2 + 208*A^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f^2
+ 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b^11*c^2*d^9*f^2 + 64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^2*
d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216*A^3*a^6*b^7*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*
c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^
6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5
- 8*a^7*b^3*c*d*f^5) + ((((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^
8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*
f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2)
- 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^
2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 +
4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^3*
b^12*d^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2 + 552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^11*
b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 - 20*A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10*f
^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a^2*b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*c*
d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 80*A^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^2*
b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d^9*f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^2
+ 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7*b^8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2*d
^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*A^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c
^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6
*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4
- 8*a^7*b^3*c*d*f^4) - ((((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8
*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f
^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2)
- 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2
*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4
*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 16*A*b^17*c*d^11
*f^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*b^8*d^12*f^4 +
216*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4 + 56*A*a*b^16*
c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^15*c*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4 - 1240*A*a^6*b^
11*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f^4 - 8*A*a^14*b
^3*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d^8*f^4 - 520*A*
a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^11*c^3*d^9*f^4 +
1280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A*a^9*b^8*c^2*d^
10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 + 32*A*a^11*b^6*
c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^
8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*
a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f
^5 - 8*a^7*b^3*c*d*f^5) + (4*(((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^
4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*
d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(
1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^
8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^
4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*
d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288
*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4
+ 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4
+ 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4
- 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 -
1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 -
48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48
*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16
*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^1
1*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f
^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4
+ 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4
+ 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d
^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4
*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^
2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*
f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*
d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4
+ 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*(((512*
A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*
f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 +
896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c
*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^
4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^
2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^
2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))/(
(32*(5*A^5*a^3*b^6*d^10 + A^5*a*b^8*d^10 - A^5*b^9*c*d^9 + 4*A^5*a*b^8*c^2*d^8 - 9*A^5*a^2*b^7*c*d^9))/(a^10*d
^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*
d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^
3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*
A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A^4*a^6*b^5*d^10 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 1
8*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 - 24*A^4*a^3*b^8*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^1
0*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*
a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^
4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b
^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4
+ 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^
4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*
a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4
+ 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(2*A^3*b^13*d^11*
f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4*b^9*d^11*f^2 - 120*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2
+ 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^3*d^8*f^2 + 208*A^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f
^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b^11*c^2*d^9*f^2 + 64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^
2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216*A^3*a^6*b^7*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^
8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*
a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f
^5 - 8*a^7*b^3*c*d*f^5) - ((((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*
a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^
2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/
2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*
c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4
+ 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^
3*b^12*d^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2 + 552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^1
1*b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 - 20*A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10
*f^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a^2*b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*
c*d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 80*A^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^
2*b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d^9*f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^
2 + 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7*b^8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2
*d^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*A^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8
*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a
^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^
4 - 8*a^7*b^3*c*d*f^4) + ((((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a
^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2
*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2
) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c
^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 +
4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 16*A*b^17*c*d^
11*f^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*b^8*d^12*f^4
+ 216*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4 + 56*A*a*b^1
6*c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^15*c*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4 - 1240*A*a^6*
b^11*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f^4 - 8*A*a^14
*b^3*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d^8*f^4 - 520*
A*a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^11*c^3*d^9*f^4
+ 1280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A*a^9*b^8*c^2*
d^10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 + 32*A*a^11*b^
6*c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*
b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 +
6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d
*f^5 - 8*a^7*b^3*c*d*f^5) - (4*(((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*
A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^
2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)
^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(
a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*
f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^1
7*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 2
88*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f
^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f
^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^
4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4
- 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4
- 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 +
48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^
16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d
^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2
*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f
^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f
^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2
*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/
(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*
c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^
2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^
4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^
4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*(((51
2*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^
2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4
+ 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4
*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*
f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*
d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2
*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - (
((16*(c + d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A^4*a^6*b^5*d^1
0 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 - 24*A^4*a^3*b^8
*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b
^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2
*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((((512*A^4*a
^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 +
192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A
^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2
- 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b
^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4
+ 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(2*A^3*b^13*d^11*f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4*b^9*d^11*f^2 -
120*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^3*d^8*f^2 + 208
*A^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b^11*c^2*d^9*f^2
+ 64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216*A^3*a^6*b^7*c^
2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2
*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a
^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((((512*A^4*a^4*b^4*c^2*f^4 - 16*
A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2
*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 +
128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2
+ 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b
^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4
))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^3*b^12*d^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2 + 552*A^2*a^7*b
^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^11*b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 - 20*A^2*b^15*c^3*
d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10*f^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a^2*b^13*c*d^10*f
^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*c*d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 80*A^2*a^10*b^5*c
*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^2*b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d^9*f^2 + 216*A^2
*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^2 + 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7*b^8*c^2*d^9*f^2
- 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2*d^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*A^2*a^11*b^4*c^2
*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*
c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^
9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((((512*A^4*a^4*b^4*c^2*f^4 - 16*A
^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*
f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 +
128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2
+ 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^
6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)
)^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 16*A*b^17*c*d^11*f^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f^4
+ 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*b^8*d^12*f^4 + 216*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A*a^
15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4 + 56*A*a*b^16*c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^15*c
*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4 - 1240*A*a^6*b^11*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10*b^
7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f^4 - 8*A*a^14*b^3*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3*b^
14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d^8*f^4 - 520*A*a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 320*
A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^11*c^3*d^9*f^4 + 1280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8*f^
4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A*a^9*b^8*c^2*d^10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^3*d
^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 + 32*A*a^11*b^6*c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^4*c
^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b
^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2
*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (4*(((512*A^4*a^4*b^4*c^2*f^4 -
16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6
*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f
^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d
*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a
^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2
*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4
+ 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*
d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 -
432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 +
112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 +
400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 2
40*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304
*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b
^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^1
1*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4
+ 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^
4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 +
b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4
+ 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*
d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 +
4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2
*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4
+ 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2
*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f
^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*(((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^
6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 +
192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4
*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A^2*a
^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 +
4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2))/(4*(a^8*c^2*f^4 + a^8*
d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^
2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))*(((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^
2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f
^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128
*A^4*a^7*b*c*d*f^4)^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 + 24*A
^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f
^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/(2*(a^8*c^2*f^4
+ a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2
*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - (atan(((((16*(c + d*tan(e + f*x))^(1/2)*(A^4*b^11*d^1
0 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A^4*a^6*b^5*d^10 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d
^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 - 24*A^4*a^3*b^8*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4
+ b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^
4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*
c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^
4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d
^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 -
128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 -
24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c
^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(2*A^3*b^1
3*d^11*f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4*b^9*d^11*f^2 - 120*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d
^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^3*d^8*f^2 + 208*A^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c
*d^10*f^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b^11*c^2*d^9*f^2 + 64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4
*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216*A^3*a^6*b^7*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4
*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f
^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^
5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 -
16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^
6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*
f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^
2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*
c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3
6*A^2*a^3*b^12*d^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2 + 552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12
*A^2*a^11*b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 - 20*A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^1
5*c*d^10*f^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a^2*b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*
a^6*b^9*c*d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 80*A^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 11
6*A^2*a^2*b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d^9*f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^
2*d^9*f^2 + 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7*b^8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9
*b^6*c^2*d^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*A^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4
*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f
^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^
5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 -
16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^
6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*
f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^
2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*
c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 16*A*
b^17*c*d^11*f^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*b^8*
d^12*f^4 + 216*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4 + 5
6*A*a*b^16*c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^15*c*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4 - 12
40*A*a^6*b^11*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f^4 -
8*A*a^14*b^3*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d^8*f
^4 - 520*A*a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^11*c^
3*d^9*f^4 + 1280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A*a^9
*b^8*c^2*d^10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 + 32*
A*a^11*b^6*c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5
+ 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d
^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^
5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (4*(-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2
*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*
A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*
b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^
2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^
6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(
32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^
12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19
*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*
c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*
c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c
^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^
2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*
d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 -
304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^
11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4
+ a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2
*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4
*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 +
4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*
d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 +
4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^
4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4
+ 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*
b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^
4)))*(-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4
*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b
^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2
+ 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4
+ b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 +
6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 +
4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2
*d^2*f^4)) + (((16*(c + d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A
^4*a^6*b^5*d^10 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 -
24*A^4*a^3*b^8*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2
*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b
^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) +
((-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^
6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*
c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4
*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 +
b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*
a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(2*A^3*b^13*d^11*f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4
*b^9*d^11*f^2 - 120*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^
3*d^8*f^2 + 208*A^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b
^11*c^2*d^9*f^2 + 64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216
*A^3*a^6*b^7*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^
2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^
9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((-((512*A^4*a^4*b
^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192
*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a
^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16
*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d
^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4
*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^3*b^12*d^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2
+ 552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^11*b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 -
20*A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10*f^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a
^2*b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*c*d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 8
0*A^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^2*b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d
^9*f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^2 + 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7
*b^8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2*d^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*
A^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^
2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^
9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((-((512*A^4*a^4*b
^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192
*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a
^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16
*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d
^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4
*a^6*b^2*d^2*f^4))^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 16*A*b^17*c*d^11*f^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a
^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*b^8*d^12*f^4 + 216*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*
d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4 + 56*A*a*b^16*c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 -
184*A*a^2*b^15*c*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4 - 1240*A*a^6*b^11*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^
4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f^4 - 8*A*a^14*b^3*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f
^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d^8*f^4 - 520*A*a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^
2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^11*c^3*d^9*f^4 + 1280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^
7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A*a^9*b^8*c^2*d^10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448
*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 + 32*A*a^11*b^6*c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4
+ 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^
4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*
a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (4*(-((512*A^4
*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4
+ 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896
*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^
2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 +
b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f
^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*
a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*
f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*
b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b
^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^
11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b
^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6
*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2
*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 +
16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a
^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*
b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^
4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4
+ a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*
f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f
^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d
^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 +
6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8
*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4
+ 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*(-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f
^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^
4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^
7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3
*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 +
6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/
(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*
c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))/((32*(5*A^5*a^3*b^6*d^10 + A^5*a*b^8*d^
10 - A^5*b^9*c*d^9 + 4*A^5*a*b^8*c^2*d^8 - 9*A^5*a^2*b^7*c*d^9))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*
f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^
4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8
*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10
- 27*A^4*a^6*b^5*d^10 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c
*d^9 - 24*A^4*a^3*b^8*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*
b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 +
4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d
*f^4) - ((-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256
*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a
^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*
f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2
*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f
^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(2*A^3*b^13*d^11*f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*
A^3*a^4*b^9*d^11*f^2 - 120*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*
b^12*c^3*d^8*f^2 + 208*A^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^
3*a^2*b^11*c^2*d^9*f^2 + 64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^
2 - 216*A^3*a^6*b^7*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6
*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 -
2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((-((512*A^
4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^
4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 89
6*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f
^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4
+ b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*
f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^3*b^12*d^11*f^2 + 316*A^2*a^5*b^10*d
^11*f^2 + 552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^11*b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11
*f^2 - 20*A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10*f^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 8
0*A^2*a^2*b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*c*d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*
f^2 - 80*A^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^2*b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^1
2*c^2*d^9*f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^2 + 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*
A^2*a^7*b^8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2*d^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^
2 - 12*A^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6
*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 -
2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-((512*A^
4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^
4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 89
6*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f
^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4
+ b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*
f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 16*A*b^17*c*d^11*f^4 + 136*A*a^3*b^14*d^12*f^4 +
432*A*a^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*b^8*d^12*f^4 + 216*A*a^11*b^6*d^12*f^4 + 16*A*a^
13*b^4*d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4 + 56*A*a*b^16*c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^
8*f^4 - 184*A*a^2*b^15*c*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4 - 1240*A*a^6*b^11*c*d^11*f^4 - 1200*A*a^8*b^9*c*
d^11*f^4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f^4 - 8*A*a^14*b^3*c*d^11*f^4 - 128*A*a^2*b^15*c^
3*d^9*f^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d^8*f^4 - 520*A*a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*
b^12*c^2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^11*c^3*d^9*f^4 + 1280*A*a^7*b^10*c^2*d^10*f^4 + 3
20*A*a^7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A*a^9*b^8*c^2*d^10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^
4 - 448*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 + 32*A*a^11*b^6*c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d
^9*f^4 + 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4
*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f
^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (4*(-((
512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*
c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^
4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b
^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^
2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^
4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4
+ 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^
5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 2
72*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 91
2*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560
*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48
*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a
^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*
b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^1
1*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4
+ 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 +
4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2
*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c
^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9
*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^
8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^
4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^
2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/
(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*
c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)))*(-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^
8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 -
608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A
^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*
A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2
*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/
2))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*
b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)) - (((16*(c + d*tan(e + f*x))^(1/2)*(
A^4*b^11*d^10 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A^4*a^6*b^5*d^10 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a
^2*b^9*c^2*d^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 - 24*A^4*a^3*b^8*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(
a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^
2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4
- 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + ((-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*
f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A
^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b
^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^
3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 +
6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((1
6*(2*A^3*b^13*d^11*f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4*b^9*d^11*f^2 - 120*A^3*a^6*b^7*d^11*f^2 + 50*A
^3*a^8*b^5*d^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^3*d^8*f^2 + 208*A^3*a^3*b^10*c*d^10*f^2 + 288*A
^3*a^5*b^8*c*d^10*f^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b^11*c^2*d^9*f^2 + 64*A^3*a^3*b^10*c^3*d^8*f^2 -
232*A^3*a^4*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216*A^3*a^6*b^7*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10
*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a
^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5
- 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b
^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4
+ 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^
4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*
a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4
+ 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(c + d*tan(e + f*
x))^(1/2)*(36*A^2*a^3*b^12*d^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2 + 552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d
^11*f^2 - 12*A^2*a^11*b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 - 20*A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2
+ 4*A^2*b^15*c*d^10*f^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a^2*b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^
2 - 640*A^2*a^6*b^9*c*d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 80*A^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d
^10*f^2 + 116*A^2*a^2*b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d^9*f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2
*a^5*b^10*c^2*d^9*f^2 + 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7*b^8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 +
156*A^2*a^9*b^6*c^2*d^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*A^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10
*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a
^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4
- 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - ((-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b
^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4
+ 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^
4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*
a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4
+ 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*((16*(16*A*a*b^16*d^12
*f^4 - 16*A*b^17*c*d^11*f^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^12*f^4 + 56
0*A*a^9*b^8*d^12*f^4 + 216*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3
*d^9*f^4 + 56*A*a*b^16*c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^15*c*d^11*f^4 - 688*A*a^4*b^13*c*d
^11*f^4 - 1240*A*a^6*b^11*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*A*a^12*b^5*
c*d^11*f^4 - 8*A*a^14*b^3*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 160*A*a^3*b^
14*c^4*d^8*f^4 - 520*A*a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*f^4 - 960*A
*a^6*b^11*c^3*d^9*f^4 + 1280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4
+ 1000*A*a^9*b^8*c^2*d^10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^
10*f^4 + 32*A*a^11*b^6*c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 +
b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 +
4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d
*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (4*(-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4
*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^
2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 -
128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 2
4*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^
2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*(c + d*tan(e + f
*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160
*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f
^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 3
36*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 7
20*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 24
0*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784
*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a
^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^
3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f
^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/(
(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2
*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2
*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b
^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 -
8*a^7*b^3*c*d*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^
4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4
+ a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*
b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*
f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^
6*b^2*d^2*f^4)))*(-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*d^2*f
^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^4 - 8
96*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) + 4*A^
2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*f^4 +
a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b
^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2))/(4*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*
d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 +
4*a^6*b^2*d^2*f^4))))*(-((512*A^4*a^4*b^4*c^2*f^4 - 16*A^4*b^8*d^2*f^4 - 256*A^4*a^2*b^6*c^2*f^4 - 16*A^4*a^8*
d^2*f^4 - 256*A^4*a^6*b^2*c^2*f^4 + 192*A^4*a^2*b^6*d^2*f^4 - 608*A^4*a^4*b^4*d^2*f^4 + 192*A^4*a^6*b^2*d^2*f^
4 - 896*A^4*a^3*b^5*c*d*f^4 + 896*A^4*a^5*b^3*c*d*f^4 + 128*A^4*a*b^7*c*d*f^4 - 128*A^4*a^7*b*c*d*f^4)^(1/2) +
4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)*(a^8*c^2*
f^4 + a^8*d^2*f^4 + b^8*c^2*f^4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*
a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^2*f^4 + 4*a^6*b^2*d^2*f^4))^(1/2)*1i)/(2*(a^8*c^2*f^4 + a^8*d^2*f^4 + b^8*c^2*f^
4 + b^8*d^2*f^4 + 4*a^2*b^6*c^2*f^4 + 6*a^4*b^4*c^2*f^4 + 4*a^6*b^2*c^2*f^4 + 4*a^2*b^6*d^2*f^4 + 6*a^4*b^4*d^
2*f^4 + 4*a^6*b^2*d^2*f^4)) - (atan((((-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^
3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3
*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b
^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7
*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9
*b^2*c^2*d*f^2))^(1/2)*((((16*(2*A^3*b^13*d^11*f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4*b^9*d^11*f^2 - 120
*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^3*d^8*f^2 + 208*A^3
*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b^11*c^2*d^9*f^2 + 6
4*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216*A^3*a^6*b^7*c^2*d^
9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2
*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b
*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^
2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f
^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6
*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f
^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^
2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 16*A*b^17*c*d^11*f^4
+ 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*b^8*d^12*f^4 + 216*
A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4 + 56*A*a*b^16*c^2*
d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^15*c*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4 - 1240*A*a^6*b^11*c
*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f^4 - 8*A*a^14*b^3*c
*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d^8*f^4 - 520*A*a^4*
b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^11*c^3*d^9*f^4 + 128
0*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A*a^9*b^8*c^2*d^10*f
^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 + 32*A*a^11*b^6*c^4*
d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^
2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*
b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 -
8*a^7*b^3*c*d*f^5) - (16*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A
^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6
*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 +
3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 +
18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f
^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 +
160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^
12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 4
32*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 11
2*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 40
0*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240
*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a
^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^1
8*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*
f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 +
16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b
^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c
^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*
f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)*(a^10*d^2
*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^
2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*
b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c
^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2)
- b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^
7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 +
6*a^10*b*c*d^2*f^2) + (16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^3*b^12*d^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2 +
552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^11*b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 - 20*
A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10*f^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a^2*
b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*c*d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 80*A
^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^2*b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d^9*
f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^2 + 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7*b^
8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2*d^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*A^2
*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f
^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c
*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-(A^2*b^7*d^2 + 16*A^
2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2
- b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2
+ 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2
*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 1
2*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^
2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 3
6*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^
7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a
*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b
^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^
3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*
b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^
7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^
9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7
*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2
*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^
2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - (16*(c +
d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A^4*a^6*b^5*d^10 - 2*A^4*
b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 - 24*A^4*a^3*b^8*c*d^9 + 4
4*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4
+ a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d
*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*1i)/(b^9*(8*a^2*c^3*f^2
+ 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8
*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f
^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^
11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - ((-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*
d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*
f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^
4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2
*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^
3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((((16*(2*A^3*b^13*d^11*f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4
*b^9*d^11*f^2 - 120*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^
3*d^8*f^2 + 208*A^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b
^11*c^2*d^9*f^2 + 64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216
*A^3*a^6*b^7*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^
2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^
9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((-(A^2*b^7*d^2
+ 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d
^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*
d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2
- 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*
f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 1
6*A*b^17*c*d^11*f^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*
b^8*d^12*f^4 + 216*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4
+ 56*A*a*b^16*c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^15*c*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4
- 1240*A*a^6*b^11*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f
^4 - 8*A*a^14*b^3*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d
^8*f^4 - 520*A*a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^1
1*c^3*d^9*f^4 + 1280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A
*a^9*b^8*c^2*d^10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 +
32*A*a^11*b^6*c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2
*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b
^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 1
2*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (16*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2
*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*
b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 +
4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*
a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2
+ 3*a^9*b^2*c^2*d*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a
^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f
^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b
^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^
14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^1
1*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^
9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*
c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*
d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 +
16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^
15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24
*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^
9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2
) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c
*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c
^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9
*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*
f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 +
36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*
a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6
*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - (16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^3*b^12*d^11*f^2 + 316*A^2*a
^5*b^10*d^11*f^2 + 552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^11*b^4*d^11*f^2 - 4*A^2*a^13
*b^2*d^11*f^2 - 20*A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10*f^2 - 52*A^2*a*b^14*c^2*d^
9*f^2 + 80*A^2*a^2*b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*c*d^10*f^2 - 500*A^2*a^8*b^
7*c*d^10*f^2 - 80*A^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^2*b^13*c^3*d^8*f^2 - 220*A^
2*a^3*b^12*c^2*d^9*f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^2 + 8*A^2*a^6*b^9*c^3*d^8*f
^2 + 232*A^2*a^7*b^8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2*d^9*f^2 + 4*A^2*a^10*b^5*c
^3*d^8*f^2 - 12*A^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^
4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*
d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-(
A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*
c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^
2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*
b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^
6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f
^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5
*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*
d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2
*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5
*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3
*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b
^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^
2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b
^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a
^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*
d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2)
- b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d
^2*f^2) + (16*(c + d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A^4*a^
6*b^5*d^10 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 - 24*A^
4*a^3*b^8*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4
+ 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^
2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*1i)/(
b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*
c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f
^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*
a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))/(((-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^
2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f
^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6
*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f
^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^
2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((((16*(2*A^3*b^13*d^11*f^2 - 24*A^3*a^2*b^11*d^1
1*f^2 - 196*A^3*a^4*b^9*d^11*f^2 - 120*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2
- 32*A^3*a*b^12*c^3*d^8*f^2 + 208*A^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f^2 + 80*A^3*a^7*b^6*c*d^1
0*f^2 - 8*A^3*a^2*b^11*c^2*d^9*f^2 + 64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^
8*c^3*d^8*f^2 - 216*A^3*a^6*b^7*c^2*d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2
*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b
^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) -
((((-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2
*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3
*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 -
3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2
- 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(16*A*
a*b^16*d^12*f^4 - 16*A*b^17*c*d^11*f^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^
12*f^4 + 560*A*a^9*b^8*d^12*f^4 + 216*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8
*A*b^17*c^3*d^9*f^4 + 56*A*a*b^16*c^2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^15*c*d^11*f^4 - 688*A*a
^4*b^13*c*d^11*f^4 - 1240*A*a^6*b^11*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*
A*a^12*b^5*c*d^11*f^4 - 8*A*a^14*b^3*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 1
60*A*a^3*b^14*c^4*d^8*f^4 - 520*A*a^4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*
f^4 - 960*A*a^6*b^11*c^3*d^9*f^4 + 1280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c
^3*d^9*f^4 + 1000*A*a^9*b^8*c^2*d^10*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11
*b^6*c^2*d^10*f^4 + 32*A*a^11*b^6*c^4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10
*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^
8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*
a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (16*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a
^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b
^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6
*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*
b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12
*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^
15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 -
160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d
^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d
^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^
9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^
10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*
f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4
- 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5
*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*
c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*
(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d
^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2
+ 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2
*d*f^2 + 6*a^10*b*c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*
c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*
b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(b^9*(8*a^2*c^3
*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b
^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^
2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 +
2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) + (16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^3*b^12*d
^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2 + 552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^11*b^4*d^
11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 - 20*A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10*f^2 - 5
2*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a^2*b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*c*d^10*f
^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 80*A^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^2*b^13*c
^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d^9*f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^2 + 8*A^
2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7*b^8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2*d^9*f^2
+ 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*A^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4
+ 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d
^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^
7*b^3*c*d*f^4))*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4
*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f
^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*
c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^
6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)
)/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a
^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^
3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) -
2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c
^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*
f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^
6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*
f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c
^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2
*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2
*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 +
24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d
*f^2 + 6*a^10*b*c*d^2*f^2) - (16*(c + d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b
^7*d^10 - 27*A^4*a^6*b^5*d^10 - 2*A^4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a
*b^10*c*d^9 - 24*A^4*a^3*b^8*c*d^9 + 44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 +
6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2
*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*
b^3*c*d*f^4)))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c
^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) -
b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5
*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - (32*(5*A^5*a^3*b^6*
d^10 + A^5*a*b^8*d^10 - A^5*b^9*c*d^9 + 4*A^5*a*b^8*c^2*d^8 - 9*A^5*a^2*b^7*c*d^9))/(a^10*d^2*f^5 + b^10*c^2*f
^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6
*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*
a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*
b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c
^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9
*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b
^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a
^9*b^2*c^2*d*f^2))^(1/2)*((((16*(2*A^3*b^13*d^11*f^2 - 24*A^3*a^2*b^11*d^11*f^2 - 196*A^3*a^4*b^9*d^11*f^2 - 1
20*A^3*a^6*b^7*d^11*f^2 + 50*A^3*a^8*b^5*d^11*f^2 + 8*A^3*b^13*c^2*d^9*f^2 - 32*A^3*a*b^12*c^3*d^8*f^2 + 208*A
^3*a^3*b^10*c*d^10*f^2 + 288*A^3*a^5*b^8*c*d^10*f^2 + 80*A^3*a^7*b^6*c*d^10*f^2 - 8*A^3*a^2*b^11*c^2*d^9*f^2 +
64*A^3*a^3*b^10*c^3*d^8*f^2 - 232*A^3*a^4*b^9*c^2*d^9*f^2 + 96*A^3*a^5*b^8*c^3*d^8*f^2 - 216*A^3*a^6*b^7*c^2*
d^9*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c
^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9
*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((((-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*
c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3
*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b
^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2
*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*
c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*((16*(16*A*a*b^16*d^12*f^4 - 16*A*b^17*c*d^11*f
^4 + 136*A*a^3*b^14*d^12*f^4 + 432*A*a^5*b^12*d^12*f^4 + 680*A*a^7*b^10*d^12*f^4 + 560*A*a^9*b^8*d^12*f^4 + 21
6*A*a^11*b^6*d^12*f^4 + 16*A*a^13*b^4*d^12*f^4 - 8*A*a^15*b^2*d^12*f^4 - 8*A*b^17*c^3*d^9*f^4 + 56*A*a*b^16*c^
2*d^10*f^4 + 32*A*a*b^16*c^4*d^8*f^4 - 184*A*a^2*b^15*c*d^11*f^4 - 688*A*a^4*b^13*c*d^11*f^4 - 1240*A*a^6*b^11
*c*d^11*f^4 - 1200*A*a^8*b^9*c*d^11*f^4 - 616*A*a^10*b^7*c*d^11*f^4 - 144*A*a^12*b^5*c*d^11*f^4 - 8*A*a^14*b^3
*c*d^11*f^4 - 128*A*a^2*b^15*c^3*d^9*f^4 + 352*A*a^3*b^14*c^2*d^10*f^4 + 160*A*a^3*b^14*c^4*d^8*f^4 - 520*A*a^
4*b^13*c^3*d^9*f^4 + 920*A*a^5*b^12*c^2*d^10*f^4 + 320*A*a^5*b^12*c^4*d^8*f^4 - 960*A*a^6*b^11*c^3*d^9*f^4 + 1
280*A*a^7*b^10*c^2*d^10*f^4 + 320*A*a^7*b^10*c^4*d^8*f^4 - 920*A*a^8*b^9*c^3*d^9*f^4 + 1000*A*a^9*b^8*c^2*d^10
*f^4 + 160*A*a^9*b^8*c^4*d^8*f^4 - 448*A*a^10*b^7*c^3*d^9*f^4 + 416*A*a^11*b^6*c^2*d^10*f^4 + 32*A*a^11*b^6*c^
4*d^8*f^4 - 88*A*a^12*b^5*c^3*d^9*f^4 + 72*A*a^13*b^4*c^2*d^10*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*
c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^
6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5
- 8*a^7*b^3*c*d*f^5) + (16*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40
*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a
^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2
+ 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2
+ 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d
*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4
+ 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*
d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 -
432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 +
112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 +
400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 2
40*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304
*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b
^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^1
1*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4
+ 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) +
b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9
*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^
3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)*(a^10*d
^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*
d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^
3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8
*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2
) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*
a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2
+ 6*a^10*b*c*d^2*f^2) - (16*(c + d*tan(e + f*x))^(1/2)*(36*A^2*a^3*b^12*d^11*f^2 + 316*A^2*a^5*b^10*d^11*f^2
+ 552*A^2*a^7*b^8*d^11*f^2 + 256*A^2*a^9*b^6*d^11*f^2 - 12*A^2*a^11*b^4*d^11*f^2 - 4*A^2*a^13*b^2*d^11*f^2 - 2
0*A^2*b^15*c^3*d^8*f^2 + 8*A^2*a*b^14*d^11*f^2 + 4*A^2*b^15*c*d^10*f^2 - 52*A^2*a*b^14*c^2*d^9*f^2 + 80*A^2*a^
2*b^13*c*d^10*f^2 - 156*A^2*a^4*b^11*c*d^10*f^2 - 640*A^2*a^6*b^9*c*d^10*f^2 - 500*A^2*a^8*b^7*c*d^10*f^2 - 80
*A^2*a^10*b^5*c*d^10*f^2 + 12*A^2*a^12*b^3*c*d^10*f^2 + 116*A^2*a^2*b^13*c^3*d^8*f^2 - 220*A^2*a^3*b^12*c^2*d^
9*f^2 + 216*A^2*a^4*b^11*c^3*d^8*f^2 - 104*A^2*a^5*b^10*c^2*d^9*f^2 + 8*A^2*a^6*b^9*c^3*d^8*f^2 + 232*A^2*a^7*
b^8*c^2*d^9*f^2 - 68*A^2*a^8*b^7*c^3*d^8*f^2 + 156*A^2*a^9*b^6*c^2*d^9*f^2 + 4*A^2*a^10*b^5*c^3*d^8*f^2 - 12*A
^2*a^11*b^4*c^2*d^9*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2
*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9
*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-(A^2*b^7*d^2 + 16*
A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^
2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f
^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a
^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 +
12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*
f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 +
36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*
a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6
*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^2 + 25*A^2*a^4
*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*
c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^
9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*
b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*
a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b
^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c
^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*
f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) + (16*(c
+ d*tan(e + f*x))^(1/2)*(A^4*b^11*d^10 + 7*A^4*a^2*b^9*d^10 + 11*A^4*a^4*b^7*d^10 - 27*A^4*a^6*b^5*d^10 - 2*A^
4*b^11*c^2*d^8 + 12*A^4*a^2*b^9*c^2*d^8 - 18*A^4*a^4*b^7*c^2*d^8 - 4*A^4*a*b^10*c*d^9 - 24*A^4*a^3*b^8*c*d^9 +
44*A^4*a^5*b^6*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f
^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c
*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))/(b^9*(8*a^2*c^3*f^2 +
6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*
a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^
2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^1
1*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)))*(-(A^2*b^7*d^2 + 16*A^2*a^2*b^5*c^2 + 10*A^2*a^2*b^5*d^
2 + 25*A^2*a^4*b^3*d^2 - 40*A^2*a^3*b^4*c*d - 8*A^2*a*b^6*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^
2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*
d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d
*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*
c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*2i)/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a
^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*
d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2)
- b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d
^2*f^2) + (A*b^2*d*(c + d*tan(e + f*x))^(1/2))/((b*f*(c + d*tan(e + f*x)) + a*d*f - b*c*f)*(a^3*d - b^3*c - a^
2*b*c + a*b^2*d)) + (C*a^2*d*(c + d*tan(e + f*x))^(1/2))/((b*f*(c + d*tan(e + f*x)) + a*d*f - b*c*f)*(a^3*d -
b^3*c - a^2*b*c + a*b^2*d)) - (B*a*b*d*(c + d*tan(e + f*x))^(1/2))/((b*f*(c + d*tan(e + f*x)) + a*d*f - b*c*f)
*(a^3*d - b^3*c - a^2*b*c + a*b^2*d))