3.1234 \(\int \frac {\sqrt {c+d \tan (e+f x)}}{(a+b \tan (e+f x))^3} \, dx\)

Optimal. Leaf size=342 \[ -\frac {b \left (-7 a^2 d+8 a b c+b^2 d\right ) \sqrt {c+d \tan (e+f x)}}{4 f \left (a^2+b^2\right )^2 (b c-a d) (a+b \tan (e+f x))}-\frac {b \sqrt {c+d \tan (e+f x)}}{2 f \left (a^2+b^2\right ) (a+b \tan (e+f x))^2}+\frac {\sqrt {b} \left (-15 a^4 d^2+40 a^3 b c d-6 a^2 b^2 \left (4 c^2-3 d^2\right )-24 a b^3 c d+b^4 \left (8 c^2+d^2\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{4 f \left (a^2+b^2\right )^3 (b c-a d)^{3/2}}-\frac {\sqrt {c-i d} \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (b+i a)^3}+\frac {\sqrt {c+i d} \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (-b+i a)^3} \]

[Out]

1/4*(40*a^3*b*c*d-24*a*b^3*c*d-15*a^4*d^2-6*a^2*b^2*(4*c^2-3*d^2)+b^4*(8*c^2+d^2))*arctanh(b^(1/2)*(c+d*tan(f*
x+e))^(1/2)/(-a*d+b*c)^(1/2))*b^(1/2)/(a^2+b^2)^3/(-a*d+b*c)^(3/2)/f-arctanh((c+d*tan(f*x+e))^(1/2)/(c-I*d)^(1
/2))*(c-I*d)^(1/2)/(I*a+b)^3/f+arctanh((c+d*tan(f*x+e))^(1/2)/(c+I*d)^(1/2))*(c+I*d)^(1/2)/(I*a-b)^3/f-1/2*b*(
c+d*tan(f*x+e))^(1/2)/(a^2+b^2)/f/(a+b*tan(f*x+e))^2-1/4*b*(-7*a^2*d+8*a*b*c+b^2*d)*(c+d*tan(f*x+e))^(1/2)/(a^
2+b^2)^2/(-a*d+b*c)/f/(a+b*tan(f*x+e))

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Rubi [A]  time = 1.52, antiderivative size = 342, normalized size of antiderivative = 1.00, number of steps used = 13, number of rules used = 8, integrand size = 27, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.296, Rules used = {3568, 3649, 3653, 3539, 3537, 63, 208, 3634} \[ \frac {\sqrt {b} \left (-6 a^2 b^2 \left (4 c^2-3 d^2\right )+40 a^3 b c d-15 a^4 d^2-24 a b^3 c d+b^4 \left (8 c^2+d^2\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{4 f \left (a^2+b^2\right )^3 (b c-a d)^{3/2}}-\frac {b \left (-7 a^2 d+8 a b c+b^2 d\right ) \sqrt {c+d \tan (e+f x)}}{4 f \left (a^2+b^2\right )^2 (b c-a d) (a+b \tan (e+f x))}-\frac {b \sqrt {c+d \tan (e+f x)}}{2 f \left (a^2+b^2\right ) (a+b \tan (e+f x))^2}-\frac {\sqrt {c-i d} \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (b+i a)^3}+\frac {\sqrt {c+i d} \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (-b+i a)^3} \]

Antiderivative was successfully verified.

[In]

Int[Sqrt[c + d*Tan[e + f*x]]/(a + b*Tan[e + f*x])^3,x]

[Out]

-((Sqrt[c - I*d]*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c - I*d]])/((I*a + b)^3*f)) + (Sqrt[c + I*d]*ArcTanh[Sq
rt[c + d*Tan[e + f*x]]/Sqrt[c + I*d]])/((I*a - b)^3*f) + (Sqrt[b]*(40*a^3*b*c*d - 24*a*b^3*c*d - 15*a^4*d^2 -
6*a^2*b^2*(4*c^2 - 3*d^2) + b^4*(8*c^2 + d^2))*ArcTanh[(Sqrt[b]*Sqrt[c + d*Tan[e + f*x]])/Sqrt[b*c - a*d]])/(4
*(a^2 + b^2)^3*(b*c - a*d)^(3/2)*f) - (b*Sqrt[c + d*Tan[e + f*x]])/(2*(a^2 + b^2)*f*(a + b*Tan[e + f*x])^2) -
(b*(8*a*b*c - 7*a^2*d + b^2*d)*Sqrt[c + d*Tan[e + f*x]])/(4*(a^2 + b^2)^2*(b*c - a*d)*f*(a + b*Tan[e + f*x]))

Rule 63

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 208

Int[((a_) + (b_.)*(x_)^2)^(-1), x_Symbol] :> Simp[(Rt[-(a/b), 2]*ArcTanh[x/Rt[-(a/b), 2]])/a, x] /; FreeQ[{a,
b}, x] && NegQ[a/b]

Rule 3537

Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_)*((c_) + (d_.)*tan[(e_.) + (f_.)*(x_)]), x_Symbol] :> Dist[(c*
d)/f, Subst[Int[(a + (b*x)/d)^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 3539

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 3568

Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_)*((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)])^(n_), x_Symbol] :> Si
mp[(b*(a + b*Tan[e + f*x])^(m + 1)*(c + d*Tan[e + f*x])^n)/(f*(m + 1)*(a^2 + b^2)), x] + Dist[1/((m + 1)*(a^2
+ b^2)), Int[(a + b*Tan[e + f*x])^(m + 1)*(c + d*Tan[e + f*x])^(n - 1)*Simp[a*c*(m + 1) - b*d*n - (b*c - a*d)*
(m + 1)*Tan[e + f*x] - b*d*(m + n + 1)*Tan[e + f*x]^2, x], x], x] /; FreeQ[{a, b, c, d, e, f}, x] && NeQ[b*c -
a*d, 0] && NeQ[a^2 + b^2, 0] && NeQ[c^2 + d^2, 0] && LtQ[m, -1] && GtQ[n, 0] && IntegerQ[2*m]

Rule 3634

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 3649

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*T
an[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 3653

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*} \int \frac {\sqrt {c+d \tan (e+f x)}}{(a+b \tan (e+f x))^3} \, dx &=-\frac {b \sqrt {c+d \tan (e+f x)}}{2 \left (a^2+b^2\right ) f (a+b \tan (e+f x))^2}-\frac {\int \frac {\frac {1}{2} (-4 a c-b d)+2 (b c-a d) \tan (e+f x)+\frac {3}{2} b d \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx}{2 \left (a^2+b^2\right )}\\ &=-\frac {b \sqrt {c+d \tan (e+f x)}}{2 \left (a^2+b^2\right ) f (a+b \tan (e+f x))^2}-\frac {b \left (8 a b c-7 a^2 d+b^2 d\right ) \sqrt {c+d \tan (e+f x)}}{4 \left (a^2+b^2\right )^2 (b c-a d) f (a+b \tan (e+f x))}+\frac {\int \frac {\frac {1}{4} \left (-8 a^3 c d+16 a b^2 c d+4 a^2 b \left (2 c^2-\frac {9 d^2}{4}\right )-b^3 \left (8 c^2+d^2\right )\right )-2 (b c-a d) \left (2 a b c-a^2 d+b^2 d\right ) \tan (e+f x)-\frac {1}{4} b d \left (8 a b c-7 a^2 d+b^2 d\right ) \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 {b \sqrt {c+d \tan (e+f x)}}{2 \left (a^2+b^2\right ) f (a+b \tan (e+f x))^2}-\frac {b \left (8 a b c-7 a^2 d+b^2 d\right ) \sqrt {c+d \tan (e+f x)}}{4 \left (a^2+b^2\right )^2 (b c-a d) f (a+b \tan (e+f x))}+\frac {\int \frac {2 (b c-a d) \left (a^3 c-3 a b^2 c+3 a^2 b d-b^3 d\right )-2 (b c-a d) \left (3 a^2 b c-b^3 c-a^3 d+3 a b^2 d\right ) \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{2 \left (a^2+b^2\right )^3 (b c-a d)}-\frac {\left (b \left (40 a^3 b c d-24 a b^3 c d-15 a^4 d^2-6 a^2 b^2 \left (4 c^2-3 d^2\right )+b^4 \left (8 c^2+d^2\right )\right )\right ) \int \frac {1+\tan ^2(e+f x)}{(a+b \tan (e+f x)) \sqrt {c+d \tan (e+f x)}} \, dx}{8 \left (a^2+b^2\right )^3 (b c-a d)}\\ &=-\frac {b \sqrt {c+d \tan (e+f x)}}{2 \left (a^2+b^2\right ) f (a+b \tan (e+f x))^2}-\frac {b \left (8 a b c-7 a^2 d+b^2 d\right ) \sqrt {c+d \tan (e+f x)}}{4 \left (a^2+b^2\right )^2 (b c-a d) f (a+b \tan (e+f x))}+\frac {(c-i d) \int \frac {1+i \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{2 (a-i b)^3}+\frac {(c+i d) \int \frac {1-i \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{2 (a+i b)^3}-\frac {\left (b \left (40 a^3 b c d-24 a b^3 c d-15 a^4 d^2-6 a^2 b^2 \left (4 c^2-3 d^2\right )+b^4 \left (8 c^2+d^2\right )\right )\right ) \operatorname {Subst}\left (\int \frac {1}{(a+b x) \sqrt {c+d x}} \, dx,x,\tan (e+f x)\right )}{8 \left (a^2+b^2\right )^3 (b c-a d) f}\\ &=-\frac {b \sqrt {c+d \tan (e+f x)}}{2 \left (a^2+b^2\right ) f (a+b \tan (e+f x))^2}-\frac {b \left (8 a b c-7 a^2 d+b^2 d\right ) \sqrt {c+d \tan (e+f x)}}{4 \left (a^2+b^2\right )^2 (b c-a d) f (a+b \tan (e+f x))}-\frac {(c+i d) \operatorname {Subst}\left (\int \frac {1}{(-1+x) \sqrt {c+i d x}} \, dx,x,-i \tan (e+f x)\right )}{2 (i a-b)^3 f}+\frac {(i c+d) \operatorname {Subst}\left (\int \frac {1}{(-1+x) \sqrt {c-i d x}} \, dx,x,i \tan (e+f x)\right )}{2 (a-i b)^3 f}-\frac {\left (b \left (40 a^3 b c d-24 a b^3 c d-15 a^4 d^2-6 a^2 b^2 \left (4 c^2-3 d^2\right )+b^4 \left (8 c^2+d^2\right )\right )\right ) \operatorname {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 )}{4 \left (a^2+b^2\right )^3 d (b c-a d) f}\\ &=\frac {\sqrt {b} \left (40 a^3 b c d-24 a b^3 c d-15 a^4 d^2-6 a^2 b^2 \left (4 c^2-3 d^2\right )+b^4 \left (8 c^2+d^2\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{4 \left (a^2+b^2\right )^3 (b c-a d)^{3/2} f}-\frac {b \sqrt {c+d \tan (e+f x)}}{2 \left (a^2+b^2\right ) f (a+b \tan (e+f x))^2}-\frac {b \left (8 a b c-7 a^2 d+b^2 d\right ) \sqrt {c+d \tan (e+f x)}}{4 \left (a^2+b^2\right )^2 (b c-a d) f (a+b \tan (e+f x))}-\frac {(c+i d) \operatorname {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)^3 d f}+\frac {(i c+d) \operatorname {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 )}{(i a+b)^3 d f}\\ &=-\frac {\sqrt {c-i d} \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{(i a+b)^3 f}+\frac {\sqrt {c+i d} \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{(i a-b)^3 f}+\frac {\sqrt {b} \left (40 a^3 b c d-24 a b^3 c d-15 a^4 d^2-6 a^2 b^2 \left (4 c^2-3 d^2\right )+b^4 \left (8 c^2+d^2\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{4 \left (a^2+b^2\right )^3 (b c-a d)^{3/2} f}-\frac {b \sqrt {c+d \tan (e+f x)}}{2 \left (a^2+b^2\right ) f (a+b \tan (e+f x))^2}-\frac {b \left (8 a b c-7 a^2 d+b^2 d\right ) \sqrt {c+d \tan (e+f x)}}{4 \left (a^2+b^2\right )^2 (b c-a d) f (a+b \tan (e+f x))}\\ \end {align*}

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Mathematica [B]  time = 6.35, size = 747, normalized size = 2.18 \[ -\frac {b^2 (c+d \tan (e+f x))^{3/2}}{2 f \left (a^2+b^2\right ) (b c-a d) (a+b \tan (e+f x))^2}-\frac {-\frac {b d \sqrt {c+d \tan (e+f x)}}{f (a+b \tan (e+f x))}-\frac {2 \left (-\frac {\left (\frac {1}{4} b^3 (b c-a d) (4 a c+b d)-a \left (\frac {3}{4} a b^2 d (b c-a d)-b^2 (b c-a d)^2\right )\right ) \sqrt {c+d \tan (e+f x)}}{f \left (a^2+b^2\right ) (b c-a d) (a+b \tan (e+f x))}-\frac {\frac {2 \sqrt {b c-a d} \left (\frac {1}{8} a^2 b^2 d (b c-a d) \left (-7 a^2 d+8 a b c+b^2 d\right )-a b^2 (b c-a d)^2 \left (a^2 (-d)+2 a b c+b^2 d\right )-\frac {1}{8} b^3 (b c-a d) \left (-8 a^3 c d+8 a^2 b c^2-9 a^2 b d^2+16 a b^2 c d-8 b^3 c^2-b^3 d^2\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{\sqrt {b} f \left (a^2+b^2\right ) (a d-b c)}+\frac {\frac {i \sqrt {c-i d} \left (-b \left (a^3 c+3 a^2 b d-3 a b^2 c-b^3 d\right ) (b c-a d)^2-i b \left (a^3 (-d)+3 a^2 b c+3 a b^2 d-b^3 c\right ) (b c-a d)^2\right ) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (-c+i d)}-\frac {i \sqrt {c+i d} \left (-b (b c-a d)^2 \left (a^3 c+3 a^2 b d-3 a b^2 c-b^3 d\right )+i b (b c-a d)^2 \left (a^3 (-d)+3 a^2 b c+3 a b^2 d-b^3 c\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (-c-i d)}}{a^2+b^2}}{\left (a^2+b^2\right ) (b c-a d)}\right )}{b}}{2 \left (a^2+b^2\right ) (b c-a d)} \]

Antiderivative was successfully verified.

[In]

Integrate[Sqrt[c + d*Tan[e + f*x]]/(a + b*Tan[e + f*x])^3,x]

[Out]

-1/2*(b^2*(c + d*Tan[e + f*x])^(3/2))/((a^2 + b^2)*(b*c - a*d)*f*(a + b*Tan[e + f*x])^2) - (-((b*d*Sqrt[c + d*
Tan[e + f*x]])/(f*(a + b*Tan[e + f*x]))) - (2*(-((((I*Sqrt[c - I*d]*((-I)*b*(b*c - a*d)^2*(3*a^2*b*c - b^3*c -
a^3*d + 3*a*b^2*d) - b*(b*c - a*d)^2*(a^3*c - 3*a*b^2*c + 3*a^2*b*d - b^3*d))*ArcTanh[Sqrt[c + d*Tan[e + f*x]
]/Sqrt[c - I*d]])/((-c + I*d)*f) - (I*Sqrt[c + I*d]*(I*b*(b*c - a*d)^2*(3*a^2*b*c - b^3*c - a^3*d + 3*a*b^2*d)
- b*(b*c - a*d)^2*(a^3*c - 3*a*b^2*c + 3*a^2*b*d - b^3*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*b^2*d*(b*c - a*d)*(8*a*b*c - 7*a^2*d + b^2*d))/8 - a*b^2
*(b*c - a*d)^2*(2*a*b*c - a^2*d + b^2*d) - (b^3*(b*c - a*d)*(8*a^2*b*c^2 - 8*b^3*c^2 - 8*a^3*c*d + 16*a*b^2*c*
d - 9*a^2*b*d^2 - b^3*d^2))/8)*ArcTanh[(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))) - (((b^3*(b*c - a*d)*(4*a*c + b*d))/4 - a*((3*a*b^2*d*(b*c -
a*d))/4 - b^2*(b*c - a*d)^2))*Sqrt[c + d*Tan[e + f*x]])/((a^2 + b^2)*(b*c - a*d)*f*(a + b*Tan[e + f*x]))))/b)/
(2*(a^2 + b^2)*(b*c - a*d))

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fricas [F(-1)]  time = 0.00, size = 0, normalized size = 0.00 \[ \text {Timed out} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^3,x, algorithm="fricas")

[Out]

Timed out

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giac [F(-1)]  time = 0.00, size = 0, normalized size = 0.00 \[ \text {Timed out} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^3,x, algorithm="giac")

[Out]

Timed out

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maple [B]  time = 0.50, size = 3203, normalized size = 9.37 \[ \text {output too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^3,x)

[Out]

-1/f/(a^2+b^2)^3/(2*(c^2+d^2)^(1/2)-2*c)^(1/2)*arctan(((2*(c^2+d^2)^(1/2)+2*c)^(1/2)-2*(c+d*tan(f*x+e))^(1/2))
/(2*(c^2+d^2)^(1/2)-2*c)^(1/2))*b^3*c-3/f/(a^2+b^2)^3/(2*(c^2+d^2)^(1/2)-2*c)^(1/2)*arctan(((2*(c^2+d^2)^(1/2)
+2*c)^(1/2)-2*(c+d*tan(f*x+e))^(1/2))/(2*(c^2+d^2)^(1/2)-2*c)^(1/2))*(c^2+d^2)^(1/2)*a^2*b+2/f*b^5/(a^2+b^2)^3
/(a*d-b*c)/((a*d-b*c)*b)^(1/2)*arctan((c+d*tan(f*x+e))^(1/2)*b/((a*d-b*c)*b)^(1/2))*c^2+3/f/(a^2+b^2)^3/(2*(c^
2+d^2)^(1/2)-2*c)^(1/2)*arctan((2*(c+d*tan(f*x+e))^(1/2)+(2*(c^2+d^2)^(1/2)+2*c)^(1/2))/(2*(c^2+d^2)^(1/2)-2*c
)^(1/2))*(c^2+d^2)^(1/2)*a^2*b-3/f/(a^2+b^2)^3/(2*(c^2+d^2)^(1/2)-2*c)^(1/2)*arctan((2*(c+d*tan(f*x+e))^(1/2)+
(2*(c^2+d^2)^(1/2)+2*c)^(1/2))/(2*(c^2+d^2)^(1/2)-2*c)^(1/2))*a^2*b*c-1/4/f/d/(a^2+b^2)^3*ln((c+d*tan(f*x+e))^
(1/2)*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)-d*tan(f*x+e)-c-(c^2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)*a^3*c-9/4/f*
d^2*b/(a^2+b^2)^3/(tan(f*x+e)*b*d+d*a)^2*(c+d*tan(f*x+e))^(1/2)*a^4-1/4/f/d/(a^2+b^2)^3*ln(d*tan(f*x+e)+c+(c+d
*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)+(c^2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)*(c^2+d^2)^(1/2
)*a^3+1/4/f/d/(a^2+b^2)^3*ln(d*tan(f*x+e)+c+(c+d*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)+(c^2+d^2)^(1/
2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)*a^3*c+1/4/f/d/(a^2+b^2)^3*ln((c+d*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/2)+2*c)^
(1/2)-d*tan(f*x+e)-c-(c^2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)*(c^2+d^2)^(1/2)*a^3+3/f*d/(a^2+b^2)^3/(2*(
c^2+d^2)^(1/2)-2*c)^(1/2)*arctan(((2*(c^2+d^2)^(1/2)+2*c)^(1/2)-2*(c+d*tan(f*x+e))^(1/2))/(2*(c^2+d^2)^(1/2)-2
*c)^(1/2))*a*b^2+1/4/f*d^2*b^6/(a^2+b^2)^3/(tan(f*x+e)*b*d+d*a)^2/(a*d-b*c)*(c+d*tan(f*x+e))^(3/2)-5/2/f*d^2*b
^3/(a^2+b^2)^3/(tan(f*x+e)*b*d+d*a)^2*(c+d*tan(f*x+e))^(1/2)*a^2+1/4/f*d^2*b^5/(a^2+b^2)^3/(a*d-b*c)/((a*d-b*c
)*b)^(1/2)*arctan((c+d*tan(f*x+e))^(1/2)*b/((a*d-b*c)*b)^(1/2))-3/f*d/(a^2+b^2)^3/(2*(c^2+d^2)^(1/2)-2*c)^(1/2
)*arctan((2*(c+d*tan(f*x+e))^(1/2)+(2*(c^2+d^2)^(1/2)+2*c)^(1/2))/(2*(c^2+d^2)^(1/2)-2*c)^(1/2))*a*b^2+3/f/(a^
2+b^2)^3/(2*(c^2+d^2)^(1/2)-2*c)^(1/2)*arctan(((2*(c^2+d^2)^(1/2)+2*c)^(1/2)-2*(c+d*tan(f*x+e))^(1/2))/(2*(c^2
+d^2)^(1/2)-2*c)^(1/2))*a^2*b*c-6/f*d*b^4/(a^2+b^2)^3/(a*d-b*c)/((a*d-b*c)*b)^(1/2)*arctan((c+d*tan(f*x+e))^(1
/2)*b/((a*d-b*c)*b)^(1/2))*a*c+10/f*d*b^2/(a^2+b^2)^3/(a*d-b*c)/((a*d-b*c)*b)^(1/2)*arctan((c+d*tan(f*x+e))^(1
/2)*b/((a*d-b*c)*b)^(1/2))*a^3*c-3/2/f*d^2*b^4/(a^2+b^2)^3/(tan(f*x+e)*b*d+d*a)^2/(a*d-b*c)*(c+d*tan(f*x+e))^(
3/2)*a^2+2/f*d*b^2/(a^2+b^2)^3/(tan(f*x+e)*b*d+d*a)^2*(c+d*tan(f*x+e))^(1/2)*a^3*c+3/4/f/d/(a^2+b^2)^3*ln((c+d
*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)-d*tan(f*x+e)-c-(c^2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)
*a*b^2*c-7/4/f*d^2*b^2/(a^2+b^2)^3/(tan(f*x+e)*b*d+d*a)^2/(a*d-b*c)*(c+d*tan(f*x+e))^(3/2)*a^4-15/4/f*d^2*b/(a
^2+b^2)^3/(a*d-b*c)/((a*d-b*c)*b)^(1/2)*arctan((c+d*tan(f*x+e))^(1/2)*b/((a*d-b*c)*b)^(1/2))*a^4+9/2/f*d^2*b^3
/(a^2+b^2)^3/(a*d-b*c)/((a*d-b*c)*b)^(1/2)*arctan((c+d*tan(f*x+e))^(1/2)*b/((a*d-b*c)*b)^(1/2))*a^2-3/4/f/d/(a
^2+b^2)^3*ln((c+d*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)-d*tan(f*x+e)-c-(c^2+d^2)^(1/2))*(2*(c^2+d^2)
^(1/2)+2*c)^(1/2)*(c^2+d^2)^(1/2)*a*b^2+3/4/f/d/(a^2+b^2)^3*ln(d*tan(f*x+e)+c+(c+d*tan(f*x+e))^(1/2)*(2*(c^2+d
^2)^(1/2)+2*c)^(1/2)+(c^2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)*(c^2+d^2)^(1/2)*a*b^2-3/4/f/d/(a^2+b^2)^3*
ln(d*tan(f*x+e)+c+(c+d*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)+(c^2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c
)^(1/2)*a*b^2*c-6/f*b^3/(a^2+b^2)^3/(a*d-b*c)/((a*d-b*c)*b)^(1/2)*arctan((c+d*tan(f*x+e))^(1/2)*b/((a*d-b*c)*b
)^(1/2))*a^2*c^2+2/f*d*b^4/(a^2+b^2)^3/(tan(f*x+e)*b*d+d*a)^2*(c+d*tan(f*x+e))^(1/2)*a*c+2/f*d*b^5/(a^2+b^2)^3
/(tan(f*x+e)*b*d+d*a)^2/(a*d-b*c)*(c+d*tan(f*x+e))^(3/2)*a*c+2/f*d*b^3/(a^2+b^2)^3/(tan(f*x+e)*b*d+d*a)^2/(a*d
-b*c)*(c+d*tan(f*x+e))^(3/2)*a^3*c+3/4/f/(a^2+b^2)^3*ln(d*tan(f*x+e)+c+(c+d*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/
2)+2*c)^(1/2)+(c^2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)*a^2*b+1/f/(a^2+b^2)^3/(2*(c^2+d^2)^(1/2)-2*c)^(1/
2)*arctan((2*(c+d*tan(f*x+e))^(1/2)+(2*(c^2+d^2)^(1/2)+2*c)^(1/2))/(2*(c^2+d^2)^(1/2)-2*c)^(1/2))*b^3*c-1/f/(a
^2+b^2)^3/(2*(c^2+d^2)^(1/2)-2*c)^(1/2)*arctan((2*(c+d*tan(f*x+e))^(1/2)+(2*(c^2+d^2)^(1/2)+2*c)^(1/2))/(2*(c^
2+d^2)^(1/2)-2*c)^(1/2))*(c^2+d^2)^(1/2)*b^3-3/4/f/(a^2+b^2)^3*ln((c+d*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/2)+2*
c)^(1/2)-d*tan(f*x+e)-c-(c^2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)*a^2*b+1/f/(a^2+b^2)^3/(2*(c^2+d^2)^(1/2
)-2*c)^(1/2)*arctan(((2*(c^2+d^2)^(1/2)+2*c)^(1/2)-2*(c+d*tan(f*x+e))^(1/2))/(2*(c^2+d^2)^(1/2)-2*c)^(1/2))*(c
^2+d^2)^(1/2)*b^3-1/4/f/(a^2+b^2)^3*ln(d*tan(f*x+e)+c+(c+d*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)+(c^
2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)*b^3+1/4/f/(a^2+b^2)^3*ln((c+d*tan(f*x+e))^(1/2)*(2*(c^2+d^2)^(1/2)
+2*c)^(1/2)-d*tan(f*x+e)-c-(c^2+d^2)^(1/2))*(2*(c^2+d^2)^(1/2)+2*c)^(1/2)*b^3-1/f*d/(a^2+b^2)^3/(2*(c^2+d^2)^(
1/2)-2*c)^(1/2)*arctan(((2*(c^2+d^2)^(1/2)+2*c)^(1/2)-2*(c+d*tan(f*x+e))^(1/2))/(2*(c^2+d^2)^(1/2)-2*c)^(1/2))
*a^3-1/4/f*d^2*b^5/(a^2+b^2)^3/(tan(f*x+e)*b*d+d*a)^2*(c+d*tan(f*x+e))^(1/2)+1/f*d/(a^2+b^2)^3/(2*(c^2+d^2)^(1
/2)-2*c)^(1/2)*arctan((2*(c+d*tan(f*x+e))^(1/2)+(2*(c^2+d^2)^(1/2)+2*c)^(1/2))/(2*(c^2+d^2)^(1/2)-2*c)^(1/2))*
a^3

________________________________________________________________________________________

maxima [F(-2)]  time = 0.00, size = 0, normalized size = 0.00 \[ \text {Exception raised: ValueError} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^3,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 details)Is a*d-b*c positive or negative?

________________________________________________________________________________________

mupad [B]  time = 35.52, size = 99939, normalized size = 292.22 \[ \text {result too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((c + d*tan(e + f*x))^(1/2)/(a + b*tan(e + f*x))^3,x)

[Out]

(atan((((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 363
1*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^
8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13
- 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13
*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10
+ 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a
^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^
12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10
*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(
a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2
*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 +
8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 2
8*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b
^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^1
5*b^3*c*d*f^4) + (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2
+ 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^1
6*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*
f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^
5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*
b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17
664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*
f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5
*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*
b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64
*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 +
384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 358
4*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 4531
2*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256
*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12
*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2
*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5
+ 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a
^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56
*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f
^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 505
6*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^
13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2
+ 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^
8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15
*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^
8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 +
5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^1
0*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*
c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^1
6*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^1
8*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*
b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^1
0*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a
^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2
*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4
+ a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 5
6*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b
^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^1
3*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + ((- c - d*1i)^(1/2)*((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*
a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b
^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^
13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 -
4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^1
0*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^1
8*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 13440
0*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^
4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^1
3*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 1
21856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2
*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*
b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 1216
0*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4
+ 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 -
101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12
*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^
12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*
a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^1
6*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6
*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^
5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*
f^5 - 16*a^15*b^3*c*d*f^5)) - ((- c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4
*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^1
5*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^
12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*
a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 +
32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^
8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b
^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 -
118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*
c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840
*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4
+ 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^
9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^
10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f
^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d
^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b
^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*
f*3i)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b
^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2
*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*
f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 5
6*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 -
16*a^15*b^3*c*d*f^4))))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*
f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d
*1i)^(1/2)*1i)/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)) + ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^1
4 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d
^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3
*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114
*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c
^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 -
21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b
^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 +
29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b
^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 2
8*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8
*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^
10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c
*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d
*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d
^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2
- 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*
d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6
*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*
b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 3878
0*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f
^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c
^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*
b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 3660
4*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2
- 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^
2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13
824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 2
7648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^
5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5
+ 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^
6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^1
6*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11
*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((((c +
d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2
+ 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a
^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^
2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^
9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16
*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^
7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6
528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11
*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c
^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^1
5*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*
a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920
*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a
^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 1249
6*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 +
8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 2
8*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^
12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^
2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d
*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - ((- c - d*1i)
^(1/2)*((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*
a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15
*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*
f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11
*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*
c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*
a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4
+ 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c
^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176
*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d
^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*
b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 2752
0*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4
+ 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4
- 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*
f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c
*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16
*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6
*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5
+ 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5
- 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140
*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((- c - d*1i)^(1/2)*(c
+ d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8
*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b
^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*
f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 -
12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9
*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19
*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139
776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4
*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^
15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4
- 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d
^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^
4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^
9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^
11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*
b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*
b^2*c*d^11*f^4))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*
f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*
f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56
*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a
*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*
b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4))))/(2*(a^3*f - b^3*f*1i - 3*a*
b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))
/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2)*1i)/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^
2*b*f*3i)))/((7*a*b^11*d^15 - 7*b^12*c*d^14 + 116*a^3*b^9*d^15 - 270*a^5*b^7*d^15 + 420*a^7*b^5*d^15 - 225*a^9
*b^3*d^15 - 63*b^12*c^3*d^12 - 56*b^12*c^5*d^10 + 207*a*b^11*c^2*d^13 + 8*a*b^11*c^4*d^11 - 192*a*b^11*c^6*d^9
- 260*a^2*b^10*c*d^14 + 1182*a^4*b^8*c*d^14 - 2260*a^6*b^6*c*d^14 + 1425*a^8*b^4*c*d^14 + 724*a^2*b^10*c^3*d^
12 + 728*a^2*b^10*c^5*d^10 - 256*a^2*b^10*c^7*d^8 - 1588*a^3*b^9*c^2*d^13 + 216*a^3*b^9*c^4*d^11 + 1920*a^3*b^
9*c^6*d^9 - 3338*a^4*b^8*c^3*d^12 - 3752*a^4*b^8*c^5*d^10 + 768*a^4*b^8*c^7*d^8 + 4426*a^5*b^7*c^2*d^13 + 1688
*a^5*b^7*c^4*d^11 - 3008*a^5*b^7*c^6*d^9 + 2420*a^6*b^6*c^3*d^12 + 4680*a^6*b^6*c^5*d^10 - 3220*a^7*b^5*c^2*d^
13 - 3640*a^7*b^5*c^4*d^11 + 1425*a^8*b^4*c^3*d^12 - 225*a^9*b^3*c^2*d^13)/(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^
2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^
12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d
^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^
2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5
- 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5) - ((((c + d*tan(e +
f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^
10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 -
960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13
+ 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^1
2*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8
+ 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a
^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d
^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^1
0*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*
f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f
^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*
a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a
^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^
11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((4*b^
18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^
2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*
c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*
d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^
14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328
*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2
+ 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^
4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^
8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840
*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 -
24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^
2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 +
3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 +
60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2
*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c
^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5
+ 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 +
28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5
*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a
^15*b^3*c*d*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*
f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9
248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^
10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^1
1*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c
^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*
b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 414
72*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f
^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^
5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14
*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*
a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*
a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a
^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 2945
6*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^
18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f
^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*
a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*
a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^1
3*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*
b^3*c*d*f^4) + ((- c - d*1i)^(1/2)*((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 1766
4*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^1
3*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d
^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f
^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c
^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^
6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4
+ 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*
d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^
12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*
f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b
^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392
*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4
- 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f
^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f
^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c
*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5
+ b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^
10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d
^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d
^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5
- 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^
5)) - ((- c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a
^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*
b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d
^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 +
7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*
f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*
c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*
a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^
10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^1
4*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 +
34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^
9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^
2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d
^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^
11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^
12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^2
3*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)*(a^18*d^2*f^4 + b^
18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^
8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^
4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^
4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112
*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4))))
/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b
*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f -
b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)) + ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11
*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16
*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^1
0*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a
^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2
*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 4
6588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8
*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 19
84*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*
c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6
*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^
2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^
2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 -
16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4
- 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^1
4*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 +
4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8
*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c
^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^
4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 1
1392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9
*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*
c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^
10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 4
5248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2
+ 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^
2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 4
0448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 -
24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28
*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*
a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^1
0*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*
d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*
f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((((c + d*tan(e + f*x))^(1/2)*(8*a*
b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2
+ 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^1
7*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*
f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d
^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^
15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*
a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 -
28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d
^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^
8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a
^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192
*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776
*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*
a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 129
56*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4
*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14
*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^
2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^
4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4
- 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - ((- c - d*1i)^(1/2)*((128*a*b^23*d^13*f^
4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a
^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*
b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4
- 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d
^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^
19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 788
48*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*
f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^1
3*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 10
0352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c
^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^1
6*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1
280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^
4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4
- 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^
12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*
c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*
f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f
^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70
*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17
*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11
*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((- c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(5
12*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10
*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b
^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4
+ 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4
+ 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d
^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*
b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 -
161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*
c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 16896
0*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*
f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4
*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^
3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^1
1*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*
d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^1
9*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f
- b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 +
56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 +
a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10
*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*
d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*
c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4))))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c
- d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a
*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i))))*(- c - d*1i)^(1/2
)*1i)/(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i) - ((b*(c + d*tan(e + f*x))^(1/2)*(9*a^2*d^2 + b^2*d^2 - 8*a*
b*c*d))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (b^2*(c + d*tan(e + f*x))^(3/2)*(b^2*d^2 - 7*a^2*d^2 + 8*a*b*c*d))/(4*(a
^5*d - b^5*c - 2*a^2*b^3*c + 2*a^3*b^2*d - a^4*b*c + a*b^4*d)))/(a^2*d^2*f - (2*b^2*c*f - 2*a*b*d*f)*(c + d*ta
n(e + f*x)) + b^2*c^2*f + b^2*f*(c + d*tan(e + f*x))^2 - 2*a*b*c*d*f) - (atan(-(((c - d*1i)^(1/2)*(((c + d*tan
(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 192
2*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^
11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d
^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3
*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6
*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 37
12*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c
^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352
*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*
c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c
^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 +
28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 +
8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^
7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((
4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^1
4*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b
^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*
c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^
4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 +
3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8
*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^1
0*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^1
0*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 3
5840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^
2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^1
0*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^
2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^
2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2
)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^
10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*
f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f
^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56
*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 -
16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*((((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f
^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 +
21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a
^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*
c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a
^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4
- 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*
d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*
b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 +
64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11
*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 808
96*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^
4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*
d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c
^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18
*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^
14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^1
8*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^
5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a
^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a
^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13
*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b
^3*c*d*f^5)) - ((c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 +
17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 2150
4*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^2
2*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10
*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c
^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^
7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 -
16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15
*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38
400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^
8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8
*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22
*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b
^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^
20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*
a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3
840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)*(a^18*d^2*f
^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*
a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14
*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4
*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^
4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*
f^4)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)) + ((c + d*tan(e + f*x))^(1/2)*(8*a*b^
20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 +
14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*
b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^
2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^1
0*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15
*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^
8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28
416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9
*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*
c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^1
5*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a
^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a
*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^
8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956
*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b
^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b
^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*
f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4
- 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 -
112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*
b*f)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))*1i)/(2*(a^3*f*1i - b^3*f - a*b^2*f*3
i + 3*a^2*b*f)) + ((c - d*1i)^(1/2)*(((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^
14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^
15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c
*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*
b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^
12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 4658
8*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^
5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*
a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2
*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^
12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c
^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f
^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16
*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 -
56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f
^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 488
4*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^
2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*
d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b
^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 1139
2*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^
2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3
*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*
b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 4524
8*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5
268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 +
256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 4044
8*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 245
76*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^
4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^1
4*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d
^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f
^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5
- 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*((((128*a*b^23*d^13*
f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640
*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^1
7*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^
4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4
*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*
b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 7
8848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^1
1*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b
^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 -
100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10
*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a
^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 +
1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*
f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f
^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*
d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^
6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^
2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2
*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 +
70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^
17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^
11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(5
12*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10
*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b
^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4
+ 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4
+ 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d
^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*
b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 -
161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*
c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 16896
0*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*
f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4
*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^
3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^1
1*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*
d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^1
9*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f*
1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 +
56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 +
a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10
*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*
d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*
c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3
*a^2*b*f)) - ((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 252
8*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*
b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 +
576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3
584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f
^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*
d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^
12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272
*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2
+ 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*
d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*
c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*
c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c
*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^
9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^
4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a
^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*
d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*
d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4
- 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f
^4)))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3
*a^2*b*f)))*1i)/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))/((7*a*b^11*d^15 - 7*b^12*c*d^14 + 116*a^3*b^9
*d^15 - 270*a^5*b^7*d^15 + 420*a^7*b^5*d^15 - 225*a^9*b^3*d^15 - 63*b^12*c^3*d^12 - 56*b^12*c^5*d^10 + 207*a*b
^11*c^2*d^13 + 8*a*b^11*c^4*d^11 - 192*a*b^11*c^6*d^9 - 260*a^2*b^10*c*d^14 + 1182*a^4*b^8*c*d^14 - 2260*a^6*b
^6*c*d^14 + 1425*a^8*b^4*c*d^14 + 724*a^2*b^10*c^3*d^12 + 728*a^2*b^10*c^5*d^10 - 256*a^2*b^10*c^7*d^8 - 1588*
a^3*b^9*c^2*d^13 + 216*a^3*b^9*c^4*d^11 + 1920*a^3*b^9*c^6*d^9 - 3338*a^4*b^8*c^3*d^12 - 3752*a^4*b^8*c^5*d^10
+ 768*a^4*b^8*c^7*d^8 + 4426*a^5*b^7*c^2*d^13 + 1688*a^5*b^7*c^4*d^11 - 3008*a^5*b^7*c^6*d^9 + 2420*a^6*b^6*c
^3*d^12 + 4680*a^6*b^6*c^5*d^10 - 3220*a^7*b^5*c^2*d^13 - 3640*a^7*b^5*c^4*d^11 + 1425*a^8*b^4*c^3*d^12 - 225*
a^9*b^3*c^2*d^13)/(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^
5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 +
a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a
^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15
*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b
^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5) - ((c - d*1i)^(1/2)*(((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^1
4 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^1
5*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13
- 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^
2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 143
19*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b
^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11
+ 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^
6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11
+ 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c
^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^
2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 +
70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a
^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a
^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 60
92*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*
b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 1
92*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 1
5872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^1
0*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c
^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a
^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 +
62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10
*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c
^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b
^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*
b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15
*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^
7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^
16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b
^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f
^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^
5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 1
40*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*((
((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^1
7*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^
13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 7
68*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 +
22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^1
1*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^1
7*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 9856
0*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*
f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b
^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4
+ 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3
*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*
b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*
a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504
*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 1
05728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f
^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^
5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^
5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a
^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b
^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^
9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*(c + d*tan(
e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^1
2*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*
f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512
*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3
*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42
240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10
*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*
b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4
- 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c
^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*
a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 -
1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4
+ 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8
960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 +
41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^
11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^1
1*f^4))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*
a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a
^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10
*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d
*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f
^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*
f - a*b^2*f*3i + 3*a^2*b*f)) + ((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b
^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^1
3*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^
21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^1
8*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a
^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 -
6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*
f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*
c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^
12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 -
2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*
f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*
f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2
- 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f
^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*
f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b
^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2
*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*
f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 5
6*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 -
16*a^15*b^3*c*d*f^4)))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*
f - a*b^2*f*3i + 3*a^2*b*f))))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)) + ((c - d*1i)^(1/2)*(((c + d*ta
n(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 19
22*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d
^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*
d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^
3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^
6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3
712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*
c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 235
2*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18
*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*
c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4
+ 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4
+ 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a
^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - ((
(4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^
14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*
b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16
*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a
^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 +
3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^
8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^
10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^
10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 -
35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f
^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^
10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f
^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f
^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^
2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b
^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2
*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*
f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 5
6*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 -
16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*((((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*
f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 +
21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*
a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22
*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*
a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4
- 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3
*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10
*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4
+ 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^1
1*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80
896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f
^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2
*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*
c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^1
8*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a
^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^
18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f
^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*
a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*
a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^1
3*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*
b^3*c*d*f^5)) + ((c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 +
17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 215
04*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^
22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^1
0*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*
c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a
^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4
- 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^1
5*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 3
8400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d
^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^
8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^2
2*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*
b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b
^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432
*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 +
3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)*(a^18*d^2*
f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56
*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^1
4*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^
4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f
^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d
*f^4)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)) - ((c + d*tan(e + f*x))^(1/2)*(8*a*b
^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 +
14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17
*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f
^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^
10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^1
5*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a
^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 2
8416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^
9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8
*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^
15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*
a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*
a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a
^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 1295
6*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*
b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*
b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2
*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4
- 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 -
112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2
*b*f)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f))))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i
+ 3*a^2*b*f))))*(c - d*1i)^(1/2)*1i)/(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f) + (atan((((((c + d*tan(e + f*
x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*
b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 96
0*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3
000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c
^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 +
49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*
b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10
+ 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b
^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4
+ 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4
+ 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6
*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16
*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*
c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((4*b^18*
d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 -
10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2
*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^1
0*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*
c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^
5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 +
28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d
^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c
^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^
11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 248
32*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 -
256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 332
8*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 606
72*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a
^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*
f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8
*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28
*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^
13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15
*b^3*c*d*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2
+ 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248
*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*
f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f
^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*
d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^1
4*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*
a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2
- 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d
^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^
7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^1
6*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^1
9*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*
b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a
^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*
d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4
+ 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4
*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^1
4*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c
*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3
*c*d*f^4) + (((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 +
50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 1689
6*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3
*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^
2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5
*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 1
29536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d
^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*
b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 +
50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10
*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024
*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4
+ 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^
9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d
^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c
*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16
*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^
2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^
12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d
^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^
2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5
- 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c + d*tan(e +
f*x))^(1/2)*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 29
4*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3
- 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2
- 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 -
20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^
10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2
*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^
10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*
a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*(512*a^2
*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*
d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^1
2*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768
*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 1971
2*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^
4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c
^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 16128
0*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^
9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16
*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 -
3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f
^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*
f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4
- 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f
^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*
c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^18*d^2*f^4
+ b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^
10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d
^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d
^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4
- 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^
4)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c
^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 +
20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^
2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^
2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c
^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*
b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*
c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^
2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f
^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 -
a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*
b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^1
2*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60
*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*
f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3
*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*
a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^
14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*
a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2
- 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*
c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6
*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d -
1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384
*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 1
5*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8
*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2
*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b
^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18
*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^
2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 -
a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b
^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12
*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*
a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f
^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36
*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2
160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 232
0*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a
^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d
^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f
^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^
2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^
6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/1
6)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15
*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*
d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*
f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^
9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*
a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4
- 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 78
4*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*
b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 -
b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5
*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2
+ 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 +
18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*
d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*
b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*1i)/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15
*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12
*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3
*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*
d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*
b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))
+ ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^
8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 +
80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 1
5544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6
*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3
136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b
^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 -
32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5
*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18
*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4
+ 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^
4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^
14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*
c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^
3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18
444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^
2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2
- 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^
9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13
*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*
a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2
- 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9
*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*
c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^1
2*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*
a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*
b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^
7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^1
5*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2
*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5
+ a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 5
6*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b
^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^1
3*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 -
1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^
11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f
^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4
800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^
2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5
*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^
13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632
*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^
2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*
d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^
5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^
3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19
*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^
11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*
b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4
+ 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a
^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^
12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*
c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^
5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 176
64*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^
13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*
d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*
f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*
c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a
^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4
+ 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3
*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a
^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9
*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*
b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 2739
2*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4
- 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*
f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*
f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*
c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^
5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a
^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*
d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*
d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5
- 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f
^5)) + ((c + d*tan(e + f*x))^(1/2)*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^
4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3
*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2
+ 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2
- 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*
b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2
*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^1
1*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*
a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f
^2))/16)^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12
*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f
^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*
b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*
b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 422
40*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*
f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b
^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 -
75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^
3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a
^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 -
1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4
+ 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 89
60*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 4
1472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^1
1*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11
*f^4))/(2*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a
^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16
*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*
d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4
- 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f
^4 - 16*a^15*b^3*c*d*f^4)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9
*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2
+ 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*
a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^
2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*
d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 2
25*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9
*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d
^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^
15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2
- 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9
*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13
*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60
*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f
^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^
3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2
+ a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^
13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a
^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2
+ 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c
^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 29
4*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3
- 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2
- 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 -
20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^
10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2
*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^
10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*
a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^1
5*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2
- 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*
b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*
c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*
a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^
2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4
+ 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 +
1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 302
4*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*
a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b
^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3
*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d
*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^
7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3
*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 -
20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^1
0*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*
d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^1
0*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a
^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b
^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^
4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a
^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*
c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b
^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^
2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 -
3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^
2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b
^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*1i)/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 -
6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12
*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d
^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2
*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*
b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 +
3*a^13*b^2*c^2*d*f^2)))/((7*a*b^11*d^15 - 7*b^12*c*d^14 + 116*a^3*b^9*d^15 - 270*a^5*b^7*d^15 + 420*a^7*b^5*d
^15 - 225*a^9*b^3*d^15 - 63*b^12*c^3*d^12 - 56*b^12*c^5*d^10 + 207*a*b^11*c^2*d^13 + 8*a*b^11*c^4*d^11 - 192*a
*b^11*c^6*d^9 - 260*a^2*b^10*c*d^14 + 1182*a^4*b^8*c*d^14 - 2260*a^6*b^6*c*d^14 + 1425*a^8*b^4*c*d^14 + 724*a^
2*b^10*c^3*d^12 + 728*a^2*b^10*c^5*d^10 - 256*a^2*b^10*c^7*d^8 - 1588*a^3*b^9*c^2*d^13 + 216*a^3*b^9*c^4*d^11
+ 1920*a^3*b^9*c^6*d^9 - 3338*a^4*b^8*c^3*d^12 - 3752*a^4*b^8*c^5*d^10 + 768*a^4*b^8*c^7*d^8 + 4426*a^5*b^7*c^
2*d^13 + 1688*a^5*b^7*c^4*d^11 - 3008*a^5*b^7*c^6*d^9 + 2420*a^6*b^6*c^3*d^12 + 4680*a^6*b^6*c^5*d^10 - 3220*a
^7*b^5*c^2*d^13 - 3640*a^7*b^5*c^4*d^11 + 1425*a^8*b^4*c^3*d^12 - 225*a^9*b^3*c^2*d^13)/(a^18*d^2*f^5 + b^18*c
^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^
2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 +
28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 +
8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7
*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5) - ((((
c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d
^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^
14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^
9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 -
11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4
*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*
d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*
a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^
12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^
4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a
^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*
d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*
d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4
- 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f
^4) + (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8
*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*
f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*
a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 +
48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^
11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^1
2*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 10246
4*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 -
35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^1
1*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c
^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^
4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^
3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*
c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c
*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 +
70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*
b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*
b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d
*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c
*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a
^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10
*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 25
6*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3
*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 186
88*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^
2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*
d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b
^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 384
0*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^
2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d
^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d
^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12
*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^
12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d
^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a
^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16
*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*
d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4
- 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f
^4 - 16*a^15*b^3*c*d*f^4) + (((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*
b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11
*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^
4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 2
5728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8
*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18
*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 1792
0*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f
^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^1
2*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 +
118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4
*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*
b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840
*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3
328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 1
52320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*
f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^1
8*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8
*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5
+ 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5
+ 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*
a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) -
((c + d*tan(e + f*x))^(1/2)*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*
a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 21
60*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320
*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^
4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^
3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^
2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2
*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6
*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16
)^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 +
46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38
400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^
2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^
3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*
b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 1
30560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4
*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*
a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f
^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9
*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^
20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a
^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*
b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^
11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 +
78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/
(2*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10
*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^
4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4
+ 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a
^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16
*a^15*b^3*c*d*f^4)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^
2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^
7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*
c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*
a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2
+ 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*
b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^
2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 81
6*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*
f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^
10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^
3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*
f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^
8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18
*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 -
15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b
^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*
d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11
*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a
^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^
2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b
^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920
*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a
*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6
*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*
f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2
- 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*
d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^
5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f
^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^1
0*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3
*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f
^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8
*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*
a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*
a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a
^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b
^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^1
3*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*
f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 +
6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 -
18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2
*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b
^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*
b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f
^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 -
3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d
*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5
*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4
+ 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*
b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*
c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*
(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*
f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*
a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b
^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 +
60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*
d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13
*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f
^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6
*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 1
8*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*
f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^
2*c^2*d*f^2)) + ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d
^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^
15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b
^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640
*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11
*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12
+ 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b
^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 1
3746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c
*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8
*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d
^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^
2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 -
56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4
- 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*
d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2
+ 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*
c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^
3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 3
7120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10
*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*
c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^
9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8
192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10
*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^
12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*
f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f
^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*
f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56
*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^1
6*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^
8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f
^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d
*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21
*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*
f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^
19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^
5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^
17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680
*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2
+ 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^
10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^
9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*
a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 -
11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2
+ 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 +
2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 +
42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2
- 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6
*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^
2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^
2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 -
16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4
- 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d
^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f
^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1
280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*
b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11
264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10
*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16
*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*
a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*
f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13
*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4
- 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^
11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5
*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b
^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6
*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 885
76*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2
*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c
^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5
+ 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 +
28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5
*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a
^15*b^3*c*d*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 5
76*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 179
2*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^
4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*
b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c
^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2
+ 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2
- 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*
d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^1
3*b^2*c^2*d*f^2))/16)^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*
a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^1
6*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^
12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4
- 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*
d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b
^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 +
139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*
c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680
*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*
f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^
2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5
*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3
*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c
*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^
17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^
25*b^2*c*d^11*f^4))/(2*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c
^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f
^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 +
56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3
*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a
^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2
- 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*
b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c
^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*
b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 4
5*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4
+ b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3
*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 120
0*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b
^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^
8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3
*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2
- 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c
*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^1
1*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 -
6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12
*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d
^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2
*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*
b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 +
3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2
*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*
a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^
6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b
^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f
^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 +
3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^
2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^
2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(
1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8
*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*
f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2
- 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*
d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11
*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 38
4*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^
3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*
c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15
*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3
*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15
*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a
^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^
2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*
c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^
11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^
2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 +
3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2
+ 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2
*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((6
4*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 5
40*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c
^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3
- 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f
^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a
^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b
*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45
*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^
2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*
c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*
f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*
a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^
3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2
- 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c
*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c
^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^
3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^
2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2
- 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3
*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^
2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^
11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45
*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*
f^2))/16)^(1/2)*1i)/(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f
^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a
^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b
*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45
*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^
2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)

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sympy [F]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\sqrt {c + d \tan {\left (e + f x \right )}}}{\left (a + b \tan {\left (e + f x \right )}\right )^{3}}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((c+d*tan(f*x+e))**(1/2)/(a+b*tan(f*x+e))**3,x)

[Out]

Integral(sqrt(c + d*tan(e + f*x))/(a + b*tan(e + f*x))**3, x)

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