3.124 \(\int \frac {(a+b \tan (e+f x)) (A+B \tan (e+f x)+C \tan ^2(e+f x))}{(c+d \tan (e+f x))^{5/2}} \, dx\)

Optimal. Leaf size=273 \[ \frac {2 (b c-a d) \left (A d^2-B c d+c^2 C\right )}{3 d^2 f \left (c^2+d^2\right ) (c+d \tan (e+f x))^{3/2}}-\frac {2 \left (a d^2 \left (2 c d (A-C)-B \left (c^2-d^2\right )\right )+b \left (-c^2 d^2 (A-3 C)+A d^4-2 B c d^3+c^4 C\right )\right )}{d^2 f \left (c^2+d^2\right )^2 \sqrt {c+d \tan (e+f x)}}-\frac {(a-i b) (i A+B-i C) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (c-i d)^{5/2}}+\frac {(-b+i a) (A+i B-C) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (c+i d)^{5/2}} \]

[Out]

-(a-I*b)*(I*A+B-I*C)*arctanh((c+d*tan(f*x+e))^(1/2)/(c-I*d)^(1/2))/(c-I*d)^(5/2)/f+(I*a-b)*(A+I*B-C)*arctanh((
c+d*tan(f*x+e))^(1/2)/(c+I*d)^(1/2))/(c+I*d)^(5/2)/f-2*(b*(c^4*C-c^2*(A-3*C)*d^2-2*B*c*d^3+A*d^4)+a*d^2*(2*c*(
A-C)*d-B*(c^2-d^2)))/d^2/(c^2+d^2)^2/f/(c+d*tan(f*x+e))^(1/2)+2/3*(-a*d+b*c)*(A*d^2-B*c*d+C*c^2)/d^2/(c^2+d^2)
/f/(c+d*tan(f*x+e))^(3/2)

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Rubi [A]  time = 0.80, antiderivative size = 271, normalized size of antiderivative = 0.99, number of steps used = 9, number of rules used = 6, integrand size = 45, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.133, Rules used = {3635, 3628, 3539, 3537, 63, 208} \[ \frac {2 (b c-a d) \left (A d^2-B c d+c^2 C\right )}{3 d^2 f \left (c^2+d^2\right ) (c+d \tan (e+f x))^{3/2}}-\frac {2 \left (a d^2 \left (2 c d (A-C)-B \left (c^2-d^2\right )\right )+b \left (-c^2 d^2 (A-3 C)+A d^4-2 B c d^3+c^4 C\right )\right )}{d^2 f \left (c^2+d^2\right )^2 \sqrt {c+d \tan (e+f x)}}-\frac {(b+i a) (A-i B-C) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (c-i d)^{5/2}}+\frac {(-b+i a) (A+i B-C) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (c+i d)^{5/2}} \]

Antiderivative was successfully verified.

[In]

Int[((a + b*Tan[e + f*x])*(A + B*Tan[e + f*x] + C*Tan[e + f*x]^2))/(c + d*Tan[e + f*x])^(5/2),x]

[Out]

-(((I*a + b)*(A - I*B - C)*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c - I*d]])/((c - I*d)^(5/2)*f)) + ((I*a - b)*
(A + I*B - C)*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c + I*d]])/((c + I*d)^(5/2)*f) + (2*(b*c - a*d)*(c^2*C - B
*c*d + A*d^2))/(3*d^2*(c^2 + d^2)*f*(c + d*Tan[e + f*x])^(3/2)) - (2*(b*(c^4*C - c^2*(A - 3*C)*d^2 - 2*B*c*d^3
+ A*d^4) + a*d^2*(2*c*(A - C)*d - B*(c^2 - d^2))))/(d^2*(c^2 + d^2)^2*f*Sqrt[c + d*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 3628

Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_)*((A_.) + (B_.)*tan[(e_.) + (f_.)*(x_)] + (C_.)*tan[(e_.) + (f
_.)*(x_)]^2), x_Symbol] :> Simp[((A*b^2 - a*b*B + a^2*C)*(a + b*Tan[e + f*x])^(m + 1))/(b*f*(m + 1)*(a^2 + b^2
)), x] + Dist[1/(a^2 + b^2), Int[(a + b*Tan[e + f*x])^(m + 1)*Simp[b*B + a*(A - C) - (A*b - a*B - b*C)*Tan[e +
f*x], x], x], x] /; FreeQ[{a, b, e, f, A, B, C}, x] && NeQ[A*b^2 - a*b*B + a^2*C, 0] && LtQ[m, -1] && NeQ[a^2
+ b^2, 0]

Rule 3635

Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])*((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)])^(n_)*((A_.) + (B_.)*tan[(e
_.) + (f_.)*(x_)] + (C_.)*tan[(e_.) + (f_.)*(x_)]^2), x_Symbol] :> -Simp[((b*c - a*d)*(c^2*C - B*c*d + A*d^2)*
(c + d*Tan[e + f*x])^(n + 1))/(d^2*f*(n + 1)*(c^2 + d^2)), x] + Dist[1/(d*(c^2 + d^2)), Int[(c + d*Tan[e + f*x
])^(n + 1)*Simp[a*d*(A*c - c*C + B*d) + b*(c^2*C - B*c*d + A*d^2) + d*(A*b*c + a*B*c - b*c*C - a*A*d + b*B*d +
a*C*d)*Tan[e + f*x] + b*C*(c^2 + d^2)*Tan[e + f*x]^2, x], x], x] /; FreeQ[{a, b, c, d, e, f, A, B, C}, x] &&
NeQ[b*c - a*d, 0] && NeQ[c^2 + d^2, 0] && LtQ[n, -1]

Rubi steps

\begin {align*} \int \frac {(a+b \tan (e+f x)) \left (A+B \tan (e+f x)+C \tan ^2(e+f x)\right )}{(c+d \tan (e+f x))^{5/2}} \, dx &=\frac {2 (b c-a d) \left (c^2 C-B c d+A d^2\right )}{3 d^2 \left (c^2+d^2\right ) f (c+d \tan (e+f x))^{3/2}}+\frac {\int \frac {a d (A c-c C+B d)+b \left (c^2 C-B c d+A d^2\right )+d (A b c+a B c-b c C-a A d+b B d+a C d) \tan (e+f x)+b C \left (c^2+d^2\right ) \tan ^2(e+f x)}{(c+d \tan (e+f x))^{3/2}} \, dx}{d \left (c^2+d^2\right )}\\ &=\frac {2 (b c-a d) \left (c^2 C-B c d+A d^2\right )}{3 d^2 \left (c^2+d^2\right ) f (c+d \tan (e+f x))^{3/2}}-\frac {2 \left (b \left (c^4 C-c^2 (A-3 C) d^2-2 B c d^3+A d^4\right )+a d^2 \left (2 c (A-C) d-B \left (c^2-d^2\right )\right )\right )}{d^2 \left (c^2+d^2\right )^2 f \sqrt {c+d \tan (e+f x)}}+\frac {\int \frac {-d \left (a \left (c^2 C-2 B c d-C d^2-A \left (c^2-d^2\right )\right )-b \left (2 c (A-C) d-B \left (c^2-d^2\right )\right )\right )-d \left (2 a A c d-2 a c C d-A b \left (c^2-d^2\right )-a B \left (c^2-d^2\right )+b \left (c^2 C-2 B c d-C d^2\right )\right ) \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{d \left (c^2+d^2\right )^2}\\ &=\frac {2 (b c-a d) \left (c^2 C-B c d+A d^2\right )}{3 d^2 \left (c^2+d^2\right ) f (c+d \tan (e+f x))^{3/2}}-\frac {2 \left (b \left (c^4 C-c^2 (A-3 C) d^2-2 B c d^3+A d^4\right )+a d^2 \left (2 c (A-C) d-B \left (c^2-d^2\right )\right )\right )}{d^2 \left (c^2+d^2\right )^2 f \sqrt {c+d \tan (e+f x)}}+\frac {((a-i b) (A-i B-C)) \int \frac {1+i \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{2 (c-i d)^2}+\frac {((a+i b) (A+i B-C)) \int \frac {1-i \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{2 (c+i d)^2}\\ &=\frac {2 (b c-a d) \left (c^2 C-B c d+A d^2\right )}{3 d^2 \left (c^2+d^2\right ) f (c+d \tan (e+f x))^{3/2}}-\frac {2 \left (b \left (c^4 C-c^2 (A-3 C) d^2-2 B c d^3+A d^4\right )+a d^2 \left (2 c (A-C) d-B \left (c^2-d^2\right )\right )\right )}{d^2 \left (c^2+d^2\right )^2 f \sqrt {c+d \tan (e+f x)}}+\frac {((i a+b) (A-i B-C)) \operatorname {Subst}\left (\int \frac {1}{(-1+x) \sqrt {c-i d x}} \, dx,x,i \tan (e+f x)\right )}{2 (c-i d)^2 f}-\frac {((i a-b) (A+i B-C)) \operatorname {Subst}\left (\int \frac {1}{(-1+x) \sqrt {c+i d x}} \, dx,x,-i \tan (e+f x)\right )}{2 (c+i d)^2 f}\\ &=\frac {2 (b c-a d) \left (c^2 C-B c d+A d^2\right )}{3 d^2 \left (c^2+d^2\right ) f (c+d \tan (e+f x))^{3/2}}-\frac {2 \left (b \left (c^4 C-c^2 (A-3 C) d^2-2 B c d^3+A d^4\right )+a d^2 \left (2 c (A-C) d-B \left (c^2-d^2\right )\right )\right )}{d^2 \left (c^2+d^2\right )^2 f \sqrt {c+d \tan (e+f x)}}+\frac {((a+i b) (A+i B-C)) \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 c-d)^2 d f}+\frac {((a-i b) (A-i B-C)) \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 )}{d (i c+d)^2 f}\\ &=-\frac {(i a+b) (A-i B-C) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{(c-i d)^{5/2} f}+\frac {(i a-b) (A+i B-C) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{(c+i d)^{5/2} f}+\frac {2 (b c-a d) \left (c^2 C-B c d+A d^2\right )}{3 d^2 \left (c^2+d^2\right ) f (c+d \tan (e+f x))^{3/2}}-\frac {2 \left (b \left (c^4 C-c^2 (A-3 C) d^2-2 B c d^3+A d^4\right )+a d^2 \left (2 c (A-C) d-B \left (c^2-d^2\right )\right )\right )}{d^2 \left (c^2+d^2\right )^2 f \sqrt {c+d \tan (e+f x)}}\\ \end {align*}

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Mathematica [C]  time = 3.02, size = 300, normalized size = 1.10 \[ -\frac {d (-a A d+a B c+a C d+A b c+b B d-b c C) \left (i (c+i d) \, _2F_1\left (-\frac {3}{2},1;-\frac {1}{2};\frac {c+d \tan (e+f x)}{c-i d}\right )-(d+i c) \, _2F_1\left (-\frac {3}{2},1;-\frac {1}{2};\frac {c+d \tan (e+f x)}{c+i d}\right )\right )-3 d (a B+A b-b C) (c+d \tan (e+f x)) \left (i (c+i d) \, _2F_1\left (-\frac {1}{2},1;\frac {1}{2};\frac {c+d \tan (e+f x)}{c-i d}\right )-(d+i c) \, _2F_1\left (-\frac {1}{2},1;\frac {1}{2};\frac {c+d \tan (e+f x)}{c+i d}\right )\right )+2 (c-i d) (c+i d) (-2 a C d+b B d+2 b c C)+6 C d (c-i d) (c+i d) (a+b \tan (e+f x))}{3 d^2 f \left (c^2+d^2\right ) (c+d \tan (e+f x))^{3/2}} \]

Antiderivative was successfully verified.

[In]

Integrate[((a + b*Tan[e + f*x])*(A + B*Tan[e + f*x] + C*Tan[e + f*x]^2))/(c + d*Tan[e + f*x])^(5/2),x]

[Out]

-1/3*(2*(c - I*d)*(c + I*d)*(2*b*c*C + b*B*d - 2*a*C*d) + d*(A*b*c + a*B*c - b*c*C - a*A*d + b*B*d + a*C*d)*(I
*(c + I*d)*Hypergeometric2F1[-3/2, 1, -1/2, (c + d*Tan[e + f*x])/(c - I*d)] - (I*c + d)*Hypergeometric2F1[-3/2
, 1, -1/2, (c + d*Tan[e + f*x])/(c + I*d)]) + 6*C*(c - I*d)*(c + I*d)*d*(a + b*Tan[e + f*x]) - 3*(A*b + a*B -
b*C)*d*(I*(c + I*d)*Hypergeometric2F1[-1/2, 1, 1/2, (c + d*Tan[e + f*x])/(c - I*d)] - (I*c + d)*Hypergeometric
2F1[-1/2, 1, 1/2, (c + d*Tan[e + f*x])/(c + I*d)])*(c + d*Tan[e + f*x]))/(d^2*(c^2 + d^2)*f*(c + d*Tan[e + f*x
])^(3/2))

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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((a+b*tan(f*x+e))*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(5/2),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((a+b*tan(f*x+e))*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Timed out

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maple [B]  time = 0.61, size = 40201, normalized size = 147.26 \[ \text {output too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((a+b*tan(f*x+e))*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(5/2),x)

[Out]

result too large to display

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maxima [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((a+b*tan(f*x+e))*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(5/2),x, algorithm="maxima")

[Out]

Timed out

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mupad [B]  time = 88.47, size = 64641, normalized size = 236.78 \[ \text {result too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(((a + b*tan(e + f*x))*(A + B*tan(e + f*x) + C*tan(e + f*x)^2))/(c + d*tan(e + f*x))^(5/2),x)

[Out]

((2*(C*b*c^3 + A*b*c*d^2 - B*b*c^2*d))/(3*(c^2 + d^2)) - (2*(c + d*tan(e + f*x))*(A*b*d^4 + C*b*c^4 - 2*B*b*c*
d^3 - A*b*c^2*d^2 + 3*C*b*c^2*d^2))/(c^2 + d^2)^2)/(d^2*f*(c + d*tan(e + f*x))^(3/2)) - atan(-(((c + d*tan(e +
f*x))^(1/2)*(16*A^2*b^2*d^18*f^3 - 16*B^2*b^2*d^18*f^3 + 16*C^2*b^2*d^18*f^3 - 320*A^2*b^2*c^4*d^14*f^3 - 102
4*A^2*b^2*c^6*d^12*f^3 - 1440*A^2*b^2*c^8*d^10*f^3 - 1024*A^2*b^2*c^10*d^8*f^3 - 320*A^2*b^2*c^12*d^6*f^3 + 16
*A^2*b^2*c^16*d^2*f^3 + 320*B^2*b^2*c^4*d^14*f^3 + 1024*B^2*b^2*c^6*d^12*f^3 + 1440*B^2*b^2*c^8*d^10*f^3 + 102
4*B^2*b^2*c^10*d^8*f^3 + 320*B^2*b^2*c^12*d^6*f^3 - 16*B^2*b^2*c^16*d^2*f^3 - 320*C^2*b^2*c^4*d^14*f^3 - 1024*
C^2*b^2*c^6*d^12*f^3 - 1440*C^2*b^2*c^8*d^10*f^3 - 1024*C^2*b^2*c^10*d^8*f^3 - 320*C^2*b^2*c^12*d^6*f^3 + 16*C
^2*b^2*c^16*d^2*f^3 - 32*A*C*b^2*d^18*f^3 - 128*A*B*b^2*c*d^17*f^3 + 128*B*C*b^2*c*d^17*f^3 - 640*A*B*b^2*c^3*
d^15*f^3 - 1152*A*B*b^2*c^5*d^13*f^3 - 640*A*B*b^2*c^7*d^11*f^3 + 640*A*B*b^2*c^9*d^9*f^3 + 1152*A*B*b^2*c^11*
d^7*f^3 + 640*A*B*b^2*c^13*d^5*f^3 + 128*A*B*b^2*c^15*d^3*f^3 + 640*A*C*b^2*c^4*d^14*f^3 + 2048*A*C*b^2*c^6*d^
12*f^3 + 2880*A*C*b^2*c^8*d^10*f^3 + 2048*A*C*b^2*c^10*d^8*f^3 + 640*A*C*b^2*c^12*d^6*f^3 - 32*A*C*b^2*c^16*d^
2*f^3 + 640*B*C*b^2*c^3*d^15*f^3 + 1152*B*C*b^2*c^5*d^13*f^3 + 640*B*C*b^2*c^7*d^11*f^3 - 640*B*C*b^2*c^9*d^9*
f^3 - 1152*B*C*b^2*c^11*d^7*f^3 - 640*B*C*b^2*c^13*d^5*f^3 - 128*B*C*b^2*c^15*d^3*f^3) + ((((8*A^2*b^2*c^5*f^2
- 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^
2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4
*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2
*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^
8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3
*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2
*c^5*f^2 + 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*
B*b^2*d^5*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b
^2*c*d^4*f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 8
0*A*C*b^2*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10
*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(128*A*b*c^15*d^6*f^4 - 32*B*b*d^21*f^4 - 736*A*b*c^3*d^18*f^4 - 2432*A*
b*c^5*d^16*f^4 - 4480*A*b*c^7*d^14*f^4 - 4928*A*b*c^9*d^12*f^4 - 3136*A*b*c^11*d^10*f^4 - 896*A*b*c^13*d^8*f^4
- (c + d*tan(e + f*x))^(1/2)*((((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d
^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^
2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C
*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^
3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)
*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*
A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*f^2 + 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*
B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2*d^5*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*
A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*d^4*f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2
- 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C*b^2*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f
^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*
c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d
^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) + 160*A*b*c^17*d^4*f^4 +
32*A*b*c^19*d^2*f^4 - 160*B*b*c^2*d^19*f^4 - 128*B*b*c^4*d^17*f^4 + 896*B*b*c^6*d^15*f^4 + 3136*B*b*c^8*d^13*
f^4 + 4928*B*b*c^10*d^11*f^4 + 4480*B*b*c^12*d^9*f^4 + 2432*B*b*c^14*d^7*f^4 + 736*B*b*c^16*d^5*f^4 + 96*B*b*c
^18*d^3*f^4 + 736*C*b*c^3*d^18*f^4 + 2432*C*b*c^5*d^16*f^4 + 4480*C*b*c^7*d^14*f^4 + 4928*C*b*c^9*d^12*f^4 + 3
136*C*b*c^11*d^10*f^4 + 896*C*b*c^13*d^8*f^4 - 128*C*b*c^15*d^6*f^4 - 160*C*b*c^17*d^4*f^4 - 32*C*b*c^19*d^2*f
^4 - 96*A*b*c*d^20*f^4 + 96*C*b*c*d^20*f^4))*((((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 8
0*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*
f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4
*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160
*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 +
80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B
^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*f^2 + 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^
3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2*d^5*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^
2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*d^4*f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C
*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C*b^2*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f
^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i + (
(c + d*tan(e + f*x))^(1/2)*(16*A^2*b^2*d^18*f^3 - 16*B^2*b^2*d^18*f^3 + 16*C^2*b^2*d^18*f^3 - 320*A^2*b^2*c^4*
d^14*f^3 - 1024*A^2*b^2*c^6*d^12*f^3 - 1440*A^2*b^2*c^8*d^10*f^3 - 1024*A^2*b^2*c^10*d^8*f^3 - 320*A^2*b^2*c^1
2*d^6*f^3 + 16*A^2*b^2*c^16*d^2*f^3 + 320*B^2*b^2*c^4*d^14*f^3 + 1024*B^2*b^2*c^6*d^12*f^3 + 1440*B^2*b^2*c^8*
d^10*f^3 + 1024*B^2*b^2*c^10*d^8*f^3 + 320*B^2*b^2*c^12*d^6*f^3 - 16*B^2*b^2*c^16*d^2*f^3 - 320*C^2*b^2*c^4*d^
14*f^3 - 1024*C^2*b^2*c^6*d^12*f^3 - 1440*C^2*b^2*c^8*d^10*f^3 - 1024*C^2*b^2*c^10*d^8*f^3 - 320*C^2*b^2*c^12*
d^6*f^3 + 16*C^2*b^2*c^16*d^2*f^3 - 32*A*C*b^2*d^18*f^3 - 128*A*B*b^2*c*d^17*f^3 + 128*B*C*b^2*c*d^17*f^3 - 64
0*A*B*b^2*c^3*d^15*f^3 - 1152*A*B*b^2*c^5*d^13*f^3 - 640*A*B*b^2*c^7*d^11*f^3 + 640*A*B*b^2*c^9*d^9*f^3 + 1152
*A*B*b^2*c^11*d^7*f^3 + 640*A*B*b^2*c^13*d^5*f^3 + 128*A*B*b^2*c^15*d^3*f^3 + 640*A*C*b^2*c^4*d^14*f^3 + 2048*
A*C*b^2*c^6*d^12*f^3 + 2880*A*C*b^2*c^8*d^10*f^3 + 2048*A*C*b^2*c^10*d^8*f^3 + 640*A*C*b^2*c^12*d^6*f^3 - 32*A
*C*b^2*c^16*d^2*f^3 + 640*B*C*b^2*c^3*d^15*f^3 + 1152*B*C*b^2*c^5*d^13*f^3 + 640*B*C*b^2*c^7*d^11*f^3 - 640*B*
C*b^2*c^9*d^9*f^3 - 1152*B*C*b^2*c^11*d^7*f^3 - 640*B*C*b^2*c^13*d^5*f^3 - 128*B*C*b^2*c^15*d^3*f^3) - ((((8*A
^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*
C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40
*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2
- 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f
^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C
^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f
^2 - 4*B^2*b^2*c^5*f^2 + 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*
d^2*f^2 + 8*A*B*b^2*d^5*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*
f^2 + 20*C^2*b^2*c*d^4*f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c
^2*d^3*f^2 + 80*A*C*b^2*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^
4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*A^2*b^2*c^5*f^2 - 8*B^2*
b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 1
6*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40
*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*
f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 1
60*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 +
2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*f^2
+ 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2*d^5
*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*d^4*
f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C*b^2
*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*
f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440
*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d
^4*f^5 + 64*c^21*d^2*f^5) - 32*B*b*d^21*f^4 - 736*A*b*c^3*d^18*f^4 - 2432*A*b*c^5*d^16*f^4 - 4480*A*b*c^7*d^14
*f^4 - 4928*A*b*c^9*d^12*f^4 - 3136*A*b*c^11*d^10*f^4 - 896*A*b*c^13*d^8*f^4 + 128*A*b*c^15*d^6*f^4 + 160*A*b*
c^17*d^4*f^4 + 32*A*b*c^19*d^2*f^4 - 160*B*b*c^2*d^19*f^4 - 128*B*b*c^4*d^17*f^4 + 896*B*b*c^6*d^15*f^4 + 3136
*B*b*c^8*d^13*f^4 + 4928*B*b*c^10*d^11*f^4 + 4480*B*b*c^12*d^9*f^4 + 2432*B*b*c^14*d^7*f^4 + 736*B*b*c^16*d^5*
f^4 + 96*B*b*c^18*d^3*f^4 + 736*C*b*c^3*d^18*f^4 + 2432*C*b*c^5*d^16*f^4 + 4480*C*b*c^7*d^14*f^4 + 4928*C*b*c^
9*d^12*f^4 + 3136*C*b*c^11*d^10*f^4 + 896*C*b*c^13*d^8*f^4 - 128*C*b*c^15*d^6*f^4 - 160*C*b*c^17*d^4*f^4 - 32*
C*b*c^19*d^2*f^4 - 96*A*b*c*d^20*f^4 + 96*C*b*c*d^20*f^4))*((((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b
^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 1
6*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 +
80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3
*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*
c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2
*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*f^2 + 4*C^2*b^2*c^5*f^2 -
40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2*d^5*f^2 - 8*A*C*b^2*c^5*
f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*d^4*f^2 + 40*A*B*b^2*c^4*
d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C*b^2*c^3*d^2*f^2 + 80*B*C
*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))
)^(1/2)*1i)/(((c + d*tan(e + f*x))^(1/2)*(16*A^2*b^2*d^18*f^3 - 16*B^2*b^2*d^18*f^3 + 16*C^2*b^2*d^18*f^3 - 32
0*A^2*b^2*c^4*d^14*f^3 - 1024*A^2*b^2*c^6*d^12*f^3 - 1440*A^2*b^2*c^8*d^10*f^3 - 1024*A^2*b^2*c^10*d^8*f^3 - 3
20*A^2*b^2*c^12*d^6*f^3 + 16*A^2*b^2*c^16*d^2*f^3 + 320*B^2*b^2*c^4*d^14*f^3 + 1024*B^2*b^2*c^6*d^12*f^3 + 144
0*B^2*b^2*c^8*d^10*f^3 + 1024*B^2*b^2*c^10*d^8*f^3 + 320*B^2*b^2*c^12*d^6*f^3 - 16*B^2*b^2*c^16*d^2*f^3 - 320*
C^2*b^2*c^4*d^14*f^3 - 1024*C^2*b^2*c^6*d^12*f^3 - 1440*C^2*b^2*c^8*d^10*f^3 - 1024*C^2*b^2*c^10*d^8*f^3 - 320
*C^2*b^2*c^12*d^6*f^3 + 16*C^2*b^2*c^16*d^2*f^3 - 32*A*C*b^2*d^18*f^3 - 128*A*B*b^2*c*d^17*f^3 + 128*B*C*b^2*c
*d^17*f^3 - 640*A*B*b^2*c^3*d^15*f^3 - 1152*A*B*b^2*c^5*d^13*f^3 - 640*A*B*b^2*c^7*d^11*f^3 + 640*A*B*b^2*c^9*
d^9*f^3 + 1152*A*B*b^2*c^11*d^7*f^3 + 640*A*B*b^2*c^13*d^5*f^3 + 128*A*B*b^2*c^15*d^3*f^3 + 640*A*C*b^2*c^4*d^
14*f^3 + 2048*A*C*b^2*c^6*d^12*f^3 + 2880*A*C*b^2*c^8*d^10*f^3 + 2048*A*C*b^2*c^10*d^8*f^3 + 640*A*C*b^2*c^12*
d^6*f^3 - 32*A*C*b^2*c^16*d^2*f^3 + 640*B*C*b^2*c^3*d^15*f^3 + 1152*B*C*b^2*c^5*d^13*f^3 + 640*B*C*b^2*c^7*d^1
1*f^3 - 640*B*C*b^2*c^9*d^9*f^3 - 1152*B*C*b^2*c^11*d^7*f^3 - 640*B*C*b^2*c^13*d^5*f^3 - 128*B*C*b^2*c^15*d^3*
f^3) - ((((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3
*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*
c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C
*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f
^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C
^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4
*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*f^2 + 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 4
0*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2*d^5*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*
B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*d^4*f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2
- 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C*b^2*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d
^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*A^2*b^2*c^
5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c
^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*
c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*
B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c
^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 -
4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^
2*b^2*c^5*f^2 + 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 +
8*A*B*b^2*d^5*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*
C^2*b^2*c*d^4*f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^
2 + 80*A*C*b^2*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4
+ 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^
16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^
5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*B*b*d^21*f^4 - 736*A*b*c^3*d^18*f^4 - 2432*A*b*c^5*d^16*f^4 - 448
0*A*b*c^7*d^14*f^4 - 4928*A*b*c^9*d^12*f^4 - 3136*A*b*c^11*d^10*f^4 - 896*A*b*c^13*d^8*f^4 + 128*A*b*c^15*d^6*
f^4 + 160*A*b*c^17*d^4*f^4 + 32*A*b*c^19*d^2*f^4 - 160*B*b*c^2*d^19*f^4 - 128*B*b*c^4*d^17*f^4 + 896*B*b*c^6*d
^15*f^4 + 3136*B*b*c^8*d^13*f^4 + 4928*B*b*c^10*d^11*f^4 + 4480*B*b*c^12*d^9*f^4 + 2432*B*b*c^14*d^7*f^4 + 736
*B*b*c^16*d^5*f^4 + 96*B*b*c^18*d^3*f^4 + 736*C*b*c^3*d^18*f^4 + 2432*C*b*c^5*d^16*f^4 + 4480*C*b*c^7*d^14*f^4
+ 4928*C*b*c^9*d^12*f^4 + 3136*C*b*c^11*d^10*f^4 + 896*C*b*c^13*d^8*f^4 - 128*C*b*c^15*d^6*f^4 - 160*C*b*c^17
*d^4*f^4 - 32*C*b*c^19*d^2*f^4 - 96*A*b*c*d^20*f^4 + 96*C*b*c*d^20*f^4))*((((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5
*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b
^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^
2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 1
60*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*
d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B
^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*f^2 + 4*C^2
*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2*d^5*f^2 -
8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*d^4*f^2 + 4
0*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C*b^2*c^3*d^
2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5
*c^8*d^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(16*A^2*b^2*d^18*f^3 - 16*B^2*b^2*d^18*f^3 + 16*C^2*b^2*d^
18*f^3 - 320*A^2*b^2*c^4*d^14*f^3 - 1024*A^2*b^2*c^6*d^12*f^3 - 1440*A^2*b^2*c^8*d^10*f^3 - 1024*A^2*b^2*c^10*
d^8*f^3 - 320*A^2*b^2*c^12*d^6*f^3 + 16*A^2*b^2*c^16*d^2*f^3 + 320*B^2*b^2*c^4*d^14*f^3 + 1024*B^2*b^2*c^6*d^1
2*f^3 + 1440*B^2*b^2*c^8*d^10*f^3 + 1024*B^2*b^2*c^10*d^8*f^3 + 320*B^2*b^2*c^12*d^6*f^3 - 16*B^2*b^2*c^16*d^2
*f^3 - 320*C^2*b^2*c^4*d^14*f^3 - 1024*C^2*b^2*c^6*d^12*f^3 - 1440*C^2*b^2*c^8*d^10*f^3 - 1024*C^2*b^2*c^10*d^
8*f^3 - 320*C^2*b^2*c^12*d^6*f^3 + 16*C^2*b^2*c^16*d^2*f^3 - 32*A*C*b^2*d^18*f^3 - 128*A*B*b^2*c*d^17*f^3 + 12
8*B*C*b^2*c*d^17*f^3 - 640*A*B*b^2*c^3*d^15*f^3 - 1152*A*B*b^2*c^5*d^13*f^3 - 640*A*B*b^2*c^7*d^11*f^3 + 640*A
*B*b^2*c^9*d^9*f^3 + 1152*A*B*b^2*c^11*d^7*f^3 + 640*A*B*b^2*c^13*d^5*f^3 + 128*A*B*b^2*c^15*d^3*f^3 + 640*A*C
*b^2*c^4*d^14*f^3 + 2048*A*C*b^2*c^6*d^12*f^3 + 2880*A*C*b^2*c^8*d^10*f^3 + 2048*A*C*b^2*c^10*d^8*f^3 + 640*A*
C*b^2*c^12*d^6*f^3 - 32*A*C*b^2*c^16*d^2*f^3 + 640*B*C*b^2*c^3*d^15*f^3 + 1152*B*C*b^2*c^5*d^13*f^3 + 640*B*C*
b^2*c^7*d^11*f^3 - 640*B*C*b^2*c^9*d^9*f^3 - 1152*B*C*b^2*c^11*d^7*f^3 - 640*B*C*b^2*c^13*d^5*f^3 - 128*B*C*b^
2*c^15*d^3*f^3) + ((((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*
B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 +
40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f
^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 -
(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 +
B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4)
)^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*f^2 + 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*
d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2*d^5*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^
4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*d^4*f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2
*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C*b^2*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^
4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(128*A*b*c^15*d^6*f^4 - 32*B*b*d^
21*f^4 - 736*A*b*c^3*d^18*f^4 - 2432*A*b*c^5*d^16*f^4 - 4480*A*b*c^7*d^14*f^4 - 4928*A*b*c^9*d^12*f^4 - 3136*A
*b*c^11*d^10*f^4 - 896*A*b*c^13*d^8*f^4 - (c + d*tan(e + f*x))^(1/2)*((((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2
+ 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d
^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*
d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A
*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*
f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b
^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*f^2 + 4*C^2*b^2
*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2*d^5*f^2 - 8*A*
C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*d^4*f^2 + 40*A*
B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C*b^2*c^3*d^2*f^
2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8
*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f
^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64
*c^21*d^2*f^5) + 160*A*b*c^17*d^4*f^4 + 32*A*b*c^19*d^2*f^4 - 160*B*b*c^2*d^19*f^4 - 128*B*b*c^4*d^17*f^4 + 89
6*B*b*c^6*d^15*f^4 + 3136*B*b*c^8*d^13*f^4 + 4928*B*b*c^10*d^11*f^4 + 4480*B*b*c^12*d^9*f^4 + 2432*B*b*c^14*d^
7*f^4 + 736*B*b*c^16*d^5*f^4 + 96*B*b*c^18*d^3*f^4 + 736*C*b*c^3*d^18*f^4 + 2432*C*b*c^5*d^16*f^4 + 4480*C*b*c
^7*d^14*f^4 + 4928*C*b*c^9*d^12*f^4 + 3136*C*b*c^11*d^10*f^4 + 896*C*b*c^13*d^8*f^4 - 128*C*b*c^15*d^6*f^4 - 1
60*C*b*c^17*d^4*f^4 - 32*C*b*c^19*d^2*f^4 - 96*A*b*c*d^20*f^4 + 96*C*b*c*d^20*f^4))*((((8*A^2*b^2*c^5*f^2 - 8*
B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2
+ 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2
+ 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*
d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4
+ 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^
4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*
f^2 + 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2
*d^5*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*
d^4*f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C
*b^2*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*
d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) - 16*A^3*b^3*d^16*f^2 + 16*C^3*b^3*d^16*f^2 - 80*A^3*b^3*c^2*d^14*f^2 - 144*A
^3*b^3*c^4*d^12*f^2 - 80*A^3*b^3*c^6*d^10*f^2 + 80*A^3*b^3*c^8*d^8*f^2 + 144*A^3*b^3*c^10*d^6*f^2 + 80*A^3*b^3
*c^12*d^4*f^2 + 16*A^3*b^3*c^14*d^2*f^2 + 192*B^3*b^3*c^3*d^13*f^2 + 480*B^3*b^3*c^5*d^11*f^2 + 640*B^3*b^3*c^
7*d^9*f^2 + 480*B^3*b^3*c^9*d^7*f^2 + 192*B^3*b^3*c^11*d^5*f^2 + 32*B^3*b^3*c^13*d^3*f^2 + 80*C^3*b^3*c^2*d^14
*f^2 + 144*C^3*b^3*c^4*d^12*f^2 + 80*C^3*b^3*c^6*d^10*f^2 - 80*C^3*b^3*c^8*d^8*f^2 - 144*C^3*b^3*c^10*d^6*f^2
- 80*C^3*b^3*c^12*d^4*f^2 - 16*C^3*b^3*c^14*d^2*f^2 - 16*A*B^2*b^3*d^16*f^2 - 48*A*C^2*b^3*d^16*f^2 + 48*A^2*C
*b^3*d^16*f^2 + 16*B^2*C*b^3*d^16*f^2 + 32*B^3*b^3*c*d^15*f^2 - 80*A*B^2*b^3*c^2*d^14*f^2 - 144*A*B^2*b^3*c^4*
d^12*f^2 - 80*A*B^2*b^3*c^6*d^10*f^2 + 80*A*B^2*b^3*c^8*d^8*f^2 + 144*A*B^2*b^3*c^10*d^6*f^2 + 80*A*B^2*b^3*c^
12*d^4*f^2 + 16*A*B^2*b^3*c^14*d^2*f^2 + 192*A^2*B*b^3*c^3*d^13*f^2 + 480*A^2*B*b^3*c^5*d^11*f^2 + 640*A^2*B*b
^3*c^7*d^9*f^2 + 480*A^2*B*b^3*c^9*d^7*f^2 + 192*A^2*B*b^3*c^11*d^5*f^2 + 32*A^2*B*b^3*c^13*d^3*f^2 - 240*A*C^
2*b^3*c^2*d^14*f^2 - 432*A*C^2*b^3*c^4*d^12*f^2 - 240*A*C^2*b^3*c^6*d^10*f^2 + 240*A*C^2*b^3*c^8*d^8*f^2 + 432
*A*C^2*b^3*c^10*d^6*f^2 + 240*A*C^2*b^3*c^12*d^4*f^2 + 48*A*C^2*b^3*c^14*d^2*f^2 + 240*A^2*C*b^3*c^2*d^14*f^2
+ 432*A^2*C*b^3*c^4*d^12*f^2 + 240*A^2*C*b^3*c^6*d^10*f^2 - 240*A^2*C*b^3*c^8*d^8*f^2 - 432*A^2*C*b^3*c^10*d^6
*f^2 - 240*A^2*C*b^3*c^12*d^4*f^2 - 48*A^2*C*b^3*c^14*d^2*f^2 + 192*B*C^2*b^3*c^3*d^13*f^2 + 480*B*C^2*b^3*c^5
*d^11*f^2 + 640*B*C^2*b^3*c^7*d^9*f^2 + 480*B*C^2*b^3*c^9*d^7*f^2 + 192*B*C^2*b^3*c^11*d^5*f^2 + 32*B*C^2*b^3*
c^13*d^3*f^2 + 80*B^2*C*b^3*c^2*d^14*f^2 + 144*B^2*C*b^3*c^4*d^12*f^2 + 80*B^2*C*b^3*c^6*d^10*f^2 - 80*B^2*C*b
^3*c^8*d^8*f^2 - 144*B^2*C*b^3*c^10*d^6*f^2 - 80*B^2*C*b^3*c^12*d^4*f^2 - 16*B^2*C*b^3*c^14*d^2*f^2 + 32*A^2*B
*b^3*c*d^15*f^2 + 32*B*C^2*b^3*c*d^15*f^2 - 384*A*B*C*b^3*c^3*d^13*f^2 - 960*A*B*C*b^3*c^5*d^11*f^2 - 1280*A*B
*C*b^3*c^7*d^9*f^2 - 960*A*B*C*b^3*c^9*d^7*f^2 - 384*A*B*C*b^3*c^11*d^5*f^2 - 64*A*B*C*b^3*c^13*d^3*f^2 - 64*A
*B*C*b^3*c*d^15*f^2))*((((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 +
80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^
2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d
^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2
/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^
4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*
b^4))^(1/2) + 4*A^2*b^2*c^5*f^2 - 4*B^2*b^2*c^5*f^2 + 4*C^2*b^2*c^5*f^2 - 40*A^2*b^2*c^3*d^2*f^2 + 40*B^2*b^2*
c^3*d^2*f^2 - 40*C^2*b^2*c^3*d^2*f^2 + 8*A*B*b^2*d^5*f^2 - 8*A*C*b^2*c^5*f^2 - 8*B*C*b^2*d^5*f^2 + 20*A^2*b^2*
c*d^4*f^2 - 20*B^2*b^2*c*d^4*f^2 + 20*C^2*b^2*c*d^4*f^2 + 40*A*B*b^2*c^4*d*f^2 - 40*A*C*b^2*c*d^4*f^2 - 40*B*C
*b^2*c^4*d*f^2 - 80*A*B*b^2*c^2*d^3*f^2 + 80*A*C*b^2*c^3*d^2*f^2 + 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^1
0*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*2i - atan(((((((8*A^2*a^2*c^5
*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^
3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c
*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B
*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^
2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4
*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^2
*a^2*c^5*f^2 - 4*C^2*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 -
8*A*B*a^2*d^5*f^2 + 8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*C
^2*a^2*c*d^4*f^2 - 40*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^2
- 80*A*C*a^2*c^3*d^2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4
+ 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^
2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*
d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c
*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*
A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6
*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*
a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2*a^
2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 + 8*A
*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 40*A
*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^2*f
^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^
8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*
f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 6
4*c^21*d^2*f^5) - 32*A*a*d^21*f^4 + 32*C*a*d^21*f^4 - 160*A*a*c^2*d^19*f^4 - 128*A*a*c^4*d^17*f^4 + 896*A*a*c^
6*d^15*f^4 + 3136*A*a*c^8*d^13*f^4 + 4928*A*a*c^10*d^11*f^4 + 4480*A*a*c^12*d^9*f^4 + 2432*A*a*c^14*d^7*f^4 +
736*A*a*c^16*d^5*f^4 + 96*A*a*c^18*d^3*f^4 + 736*B*a*c^3*d^18*f^4 + 2432*B*a*c^5*d^16*f^4 + 4480*B*a*c^7*d^14*
f^4 + 4928*B*a*c^9*d^12*f^4 + 3136*B*a*c^11*d^10*f^4 + 896*B*a*c^13*d^8*f^4 - 128*B*a*c^15*d^6*f^4 - 160*B*a*c
^17*d^4*f^4 - 32*B*a*c^19*d^2*f^4 + 160*C*a*c^2*d^19*f^4 + 128*C*a*c^4*d^17*f^4 - 896*C*a*c^6*d^15*f^4 - 3136*
C*a*c^8*d^13*f^4 - 4928*C*a*c^10*d^11*f^4 - 4480*C*a*c^12*d^9*f^4 - 2432*C*a*c^14*d^7*f^4 - 736*C*a*c^16*d^5*f
^4 - 96*C*a*c^18*d^3*f^4 + 96*B*a*c*d^20*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*A^2*a^2*d^18*f^3 - 16*B^2*a^2*d
^18*f^3 + 16*C^2*a^2*d^18*f^3 - 320*A^2*a^2*c^4*d^14*f^3 - 1024*A^2*a^2*c^6*d^12*f^3 - 1440*A^2*a^2*c^8*d^10*f
^3 - 1024*A^2*a^2*c^10*d^8*f^3 - 320*A^2*a^2*c^12*d^6*f^3 + 16*A^2*a^2*c^16*d^2*f^3 + 320*B^2*a^2*c^4*d^14*f^3
+ 1024*B^2*a^2*c^6*d^12*f^3 + 1440*B^2*a^2*c^8*d^10*f^3 + 1024*B^2*a^2*c^10*d^8*f^3 + 320*B^2*a^2*c^12*d^6*f^
3 - 16*B^2*a^2*c^16*d^2*f^3 - 320*C^2*a^2*c^4*d^14*f^3 - 1024*C^2*a^2*c^6*d^12*f^3 - 1440*C^2*a^2*c^8*d^10*f^3
- 1024*C^2*a^2*c^10*d^8*f^3 - 320*C^2*a^2*c^12*d^6*f^3 + 16*C^2*a^2*c^16*d^2*f^3 - 32*A*C*a^2*d^18*f^3 - 128*
A*B*a^2*c*d^17*f^3 + 128*B*C*a^2*c*d^17*f^3 - 640*A*B*a^2*c^3*d^15*f^3 - 1152*A*B*a^2*c^5*d^13*f^3 - 640*A*B*a
^2*c^7*d^11*f^3 + 640*A*B*a^2*c^9*d^9*f^3 + 1152*A*B*a^2*c^11*d^7*f^3 + 640*A*B*a^2*c^13*d^5*f^3 + 128*A*B*a^2
*c^15*d^3*f^3 + 640*A*C*a^2*c^4*d^14*f^3 + 2048*A*C*a^2*c^6*d^12*f^3 + 2880*A*C*a^2*c^8*d^10*f^3 + 2048*A*C*a^
2*c^10*d^8*f^3 + 640*A*C*a^2*c^12*d^6*f^3 - 32*A*C*a^2*c^16*d^2*f^3 + 640*B*C*a^2*c^3*d^15*f^3 + 1152*B*C*a^2*
c^5*d^13*f^3 + 640*B*C*a^2*c^7*d^11*f^3 - 640*B*C*a^2*c^9*d^9*f^3 - 1152*B*C*a^2*c^11*d^7*f^3 - 640*B*C*a^2*c^
13*d^5*f^3 - 128*B*C*a^2*c^15*d^3*f^3))*((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2
*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 -
16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^
2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*
a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^
8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^
2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2
*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 + 8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5
*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 40*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*
c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(
16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i - (((((8
*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 8
0*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 -
40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f
^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10
*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A
*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5
*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^
3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 + 8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^
4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 40*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2
*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*
c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*C*a*d^21*f^4 - 32*A*a*d^21*f^4 - (c + d*tan(e + f*x)
)^(1/2)*((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^
3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2
*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*
C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*
f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 +
C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) -
4*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 +
40*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 + 8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20
*B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 40*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2
+ 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*
d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^
5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^
8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*A*a*c^2*d^19*f^4 - 128*A*a*c^4*d^17*f^4
+ 896*A*a*c^6*d^15*f^4 + 3136*A*a*c^8*d^13*f^4 + 4928*A*a*c^10*d^11*f^4 + 4480*A*a*c^12*d^9*f^4 + 2432*A*a*c^1
4*d^7*f^4 + 736*A*a*c^16*d^5*f^4 + 96*A*a*c^18*d^3*f^4 + 736*B*a*c^3*d^18*f^4 + 2432*B*a*c^5*d^16*f^4 + 4480*B
*a*c^7*d^14*f^4 + 4928*B*a*c^9*d^12*f^4 + 3136*B*a*c^11*d^10*f^4 + 896*B*a*c^13*d^8*f^4 - 128*B*a*c^15*d^6*f^4
- 160*B*a*c^17*d^4*f^4 - 32*B*a*c^19*d^2*f^4 + 160*C*a*c^2*d^19*f^4 + 128*C*a*c^4*d^17*f^4 - 896*C*a*c^6*d^15
*f^4 - 3136*C*a*c^8*d^13*f^4 - 4928*C*a*c^10*d^11*f^4 - 4480*C*a*c^12*d^9*f^4 - 2432*C*a*c^14*d^7*f^4 - 736*C*
a*c^16*d^5*f^4 - 96*C*a*c^18*d^3*f^4 + 96*B*a*c*d^20*f^4) - (c + d*tan(e + f*x))^(1/2)*(16*A^2*a^2*d^18*f^3 -
16*B^2*a^2*d^18*f^3 + 16*C^2*a^2*d^18*f^3 - 320*A^2*a^2*c^4*d^14*f^3 - 1024*A^2*a^2*c^6*d^12*f^3 - 1440*A^2*a^
2*c^8*d^10*f^3 - 1024*A^2*a^2*c^10*d^8*f^3 - 320*A^2*a^2*c^12*d^6*f^3 + 16*A^2*a^2*c^16*d^2*f^3 + 320*B^2*a^2*
c^4*d^14*f^3 + 1024*B^2*a^2*c^6*d^12*f^3 + 1440*B^2*a^2*c^8*d^10*f^3 + 1024*B^2*a^2*c^10*d^8*f^3 + 320*B^2*a^2
*c^12*d^6*f^3 - 16*B^2*a^2*c^16*d^2*f^3 - 320*C^2*a^2*c^4*d^14*f^3 - 1024*C^2*a^2*c^6*d^12*f^3 - 1440*C^2*a^2*
c^8*d^10*f^3 - 1024*C^2*a^2*c^10*d^8*f^3 - 320*C^2*a^2*c^12*d^6*f^3 + 16*C^2*a^2*c^16*d^2*f^3 - 32*A*C*a^2*d^1
8*f^3 - 128*A*B*a^2*c*d^17*f^3 + 128*B*C*a^2*c*d^17*f^3 - 640*A*B*a^2*c^3*d^15*f^3 - 1152*A*B*a^2*c^5*d^13*f^3
- 640*A*B*a^2*c^7*d^11*f^3 + 640*A*B*a^2*c^9*d^9*f^3 + 1152*A*B*a^2*c^11*d^7*f^3 + 640*A*B*a^2*c^13*d^5*f^3 +
128*A*B*a^2*c^15*d^3*f^3 + 640*A*C*a^2*c^4*d^14*f^3 + 2048*A*C*a^2*c^6*d^12*f^3 + 2880*A*C*a^2*c^8*d^10*f^3 +
2048*A*C*a^2*c^10*d^8*f^3 + 640*A*C*a^2*c^12*d^6*f^3 - 32*A*C*a^2*c^16*d^2*f^3 + 640*B*C*a^2*c^3*d^15*f^3 + 1
152*B*C*a^2*c^5*d^13*f^3 + 640*B*C*a^2*c^7*d^11*f^3 - 640*B*C*a^2*c^9*d^9*f^3 - 1152*B*C*a^2*c^11*d^7*f^3 - 64
0*B*C*a^2*c^13*d^5*f^3 - 128*B*C*a^2*c^15*d^3*f^3))*((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*
f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a
^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*
a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^
2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4
*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^
4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2*a^2*c^5*f^2 + 40*A^2
*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 + 8*A*C*a^2*c^5*f^2 + 8
*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 40*A*B*a^2*c^4*d*f^2 +
40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^2*f^2 - 80*B*C*a^2*c^
2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)
*1i)/((((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3
*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*
c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C
*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f
^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C
^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4
*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 4
0*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 + 8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*
B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 40*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2
+ 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d
^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*A^2*a^2*c^
5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c
^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*
c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*
B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c
^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 -
4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^
2*a^2*c^5*f^2 - 4*C^2*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 -
8*A*B*a^2*d^5*f^2 + 8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*
C^2*a^2*c*d^4*f^2 - 40*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^
2 - 80*A*C*a^2*c^3*d^2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4
+ 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^
16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^
5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*A*a*d^21*f^4 + 32*C*a*d^21*f^4 - 160*A*a*c^2*d^19*f^4 - 128*A*a*c
^4*d^17*f^4 + 896*A*a*c^6*d^15*f^4 + 3136*A*a*c^8*d^13*f^4 + 4928*A*a*c^10*d^11*f^4 + 4480*A*a*c^12*d^9*f^4 +
2432*A*a*c^14*d^7*f^4 + 736*A*a*c^16*d^5*f^4 + 96*A*a*c^18*d^3*f^4 + 736*B*a*c^3*d^18*f^4 + 2432*B*a*c^5*d^16*
f^4 + 4480*B*a*c^7*d^14*f^4 + 4928*B*a*c^9*d^12*f^4 + 3136*B*a*c^11*d^10*f^4 + 896*B*a*c^13*d^8*f^4 - 128*B*a*
c^15*d^6*f^4 - 160*B*a*c^17*d^4*f^4 - 32*B*a*c^19*d^2*f^4 + 160*C*a*c^2*d^19*f^4 + 128*C*a*c^4*d^17*f^4 - 896*
C*a*c^6*d^15*f^4 - 3136*C*a*c^8*d^13*f^4 - 4928*C*a*c^10*d^11*f^4 - 4480*C*a*c^12*d^9*f^4 - 2432*C*a*c^14*d^7*
f^4 - 736*C*a*c^16*d^5*f^4 - 96*C*a*c^18*d^3*f^4 + 96*B*a*c*d^20*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*A^2*a^2
*d^18*f^3 - 16*B^2*a^2*d^18*f^3 + 16*C^2*a^2*d^18*f^3 - 320*A^2*a^2*c^4*d^14*f^3 - 1024*A^2*a^2*c^6*d^12*f^3 -
1440*A^2*a^2*c^8*d^10*f^3 - 1024*A^2*a^2*c^10*d^8*f^3 - 320*A^2*a^2*c^12*d^6*f^3 + 16*A^2*a^2*c^16*d^2*f^3 +
320*B^2*a^2*c^4*d^14*f^3 + 1024*B^2*a^2*c^6*d^12*f^3 + 1440*B^2*a^2*c^8*d^10*f^3 + 1024*B^2*a^2*c^10*d^8*f^3 +
320*B^2*a^2*c^12*d^6*f^3 - 16*B^2*a^2*c^16*d^2*f^3 - 320*C^2*a^2*c^4*d^14*f^3 - 1024*C^2*a^2*c^6*d^12*f^3 - 1
440*C^2*a^2*c^8*d^10*f^3 - 1024*C^2*a^2*c^10*d^8*f^3 - 320*C^2*a^2*c^12*d^6*f^3 + 16*C^2*a^2*c^16*d^2*f^3 - 32
*A*C*a^2*d^18*f^3 - 128*A*B*a^2*c*d^17*f^3 + 128*B*C*a^2*c*d^17*f^3 - 640*A*B*a^2*c^3*d^15*f^3 - 1152*A*B*a^2*
c^5*d^13*f^3 - 640*A*B*a^2*c^7*d^11*f^3 + 640*A*B*a^2*c^9*d^9*f^3 + 1152*A*B*a^2*c^11*d^7*f^3 + 640*A*B*a^2*c^
13*d^5*f^3 + 128*A*B*a^2*c^15*d^3*f^3 + 640*A*C*a^2*c^4*d^14*f^3 + 2048*A*C*a^2*c^6*d^12*f^3 + 2880*A*C*a^2*c^
8*d^10*f^3 + 2048*A*C*a^2*c^10*d^8*f^3 + 640*A*C*a^2*c^12*d^6*f^3 - 32*A*C*a^2*c^16*d^2*f^3 + 640*B*C*a^2*c^3*
d^15*f^3 + 1152*B*C*a^2*c^5*d^13*f^3 + 640*B*C*a^2*c^7*d^11*f^3 - 640*B*C*a^2*c^9*d^9*f^3 - 1152*B*C*a^2*c^11*
d^7*f^3 - 640*B*C*a^2*c^13*d^5*f^3 - 128*B*C*a^2*c^15*d^3*f^3))*((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*
C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^
2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f
^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^
2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 +
160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 +
6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2*a^2*c^5*
f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 + 8*A*C*a^2
*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 40*A*B*a^2
*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^2*f^2 - 8
0*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*
f^4)))^(1/2) + (((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^
2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40
*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2
- 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (
16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^
4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^
(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^
2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 + 8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*
f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 40*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c
^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4
+ 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*C*a*d^21*f^4 - 32*A*a*d^21*f^4
- (c + d*tan(e + f*x))^(1/2)*((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^
2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2
*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*
a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3
*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*
(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A
*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B
^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 + 8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A
^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 40*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 +
40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^
4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c
^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^
10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*A*a*c^2*d^19*f^4 -
128*A*a*c^4*d^17*f^4 + 896*A*a*c^6*d^15*f^4 + 3136*A*a*c^8*d^13*f^4 + 4928*A*a*c^10*d^11*f^4 + 4480*A*a*c^12*d
^9*f^4 + 2432*A*a*c^14*d^7*f^4 + 736*A*a*c^16*d^5*f^4 + 96*A*a*c^18*d^3*f^4 + 736*B*a*c^3*d^18*f^4 + 2432*B*a*
c^5*d^16*f^4 + 4480*B*a*c^7*d^14*f^4 + 4928*B*a*c^9*d^12*f^4 + 3136*B*a*c^11*d^10*f^4 + 896*B*a*c^13*d^8*f^4 -
128*B*a*c^15*d^6*f^4 - 160*B*a*c^17*d^4*f^4 - 32*B*a*c^19*d^2*f^4 + 160*C*a*c^2*d^19*f^4 + 128*C*a*c^4*d^17*f
^4 - 896*C*a*c^6*d^15*f^4 - 3136*C*a*c^8*d^13*f^4 - 4928*C*a*c^10*d^11*f^4 - 4480*C*a*c^12*d^9*f^4 - 2432*C*a*
c^14*d^7*f^4 - 736*C*a*c^16*d^5*f^4 - 96*C*a*c^18*d^3*f^4 + 96*B*a*c*d^20*f^4) - (c + d*tan(e + f*x))^(1/2)*(1
6*A^2*a^2*d^18*f^3 - 16*B^2*a^2*d^18*f^3 + 16*C^2*a^2*d^18*f^3 - 320*A^2*a^2*c^4*d^14*f^3 - 1024*A^2*a^2*c^6*d
^12*f^3 - 1440*A^2*a^2*c^8*d^10*f^3 - 1024*A^2*a^2*c^10*d^8*f^3 - 320*A^2*a^2*c^12*d^6*f^3 + 16*A^2*a^2*c^16*d
^2*f^3 + 320*B^2*a^2*c^4*d^14*f^3 + 1024*B^2*a^2*c^6*d^12*f^3 + 1440*B^2*a^2*c^8*d^10*f^3 + 1024*B^2*a^2*c^10*
d^8*f^3 + 320*B^2*a^2*c^12*d^6*f^3 - 16*B^2*a^2*c^16*d^2*f^3 - 320*C^2*a^2*c^4*d^14*f^3 - 1024*C^2*a^2*c^6*d^1
2*f^3 - 1440*C^2*a^2*c^8*d^10*f^3 - 1024*C^2*a^2*c^10*d^8*f^3 - 320*C^2*a^2*c^12*d^6*f^3 + 16*C^2*a^2*c^16*d^2
*f^3 - 32*A*C*a^2*d^18*f^3 - 128*A*B*a^2*c*d^17*f^3 + 128*B*C*a^2*c*d^17*f^3 - 640*A*B*a^2*c^3*d^15*f^3 - 1152
*A*B*a^2*c^5*d^13*f^3 - 640*A*B*a^2*c^7*d^11*f^3 + 640*A*B*a^2*c^9*d^9*f^3 + 1152*A*B*a^2*c^11*d^7*f^3 + 640*A
*B*a^2*c^13*d^5*f^3 + 128*A*B*a^2*c^15*d^3*f^3 + 640*A*C*a^2*c^4*d^14*f^3 + 2048*A*C*a^2*c^6*d^12*f^3 + 2880*A
*C*a^2*c^8*d^10*f^3 + 2048*A*C*a^2*c^10*d^8*f^3 + 640*A*C*a^2*c^12*d^6*f^3 - 32*A*C*a^2*c^16*d^2*f^3 + 640*B*C
*a^2*c^3*d^15*f^3 + 1152*B*C*a^2*c^5*d^13*f^3 + 640*B*C*a^2*c^7*d^11*f^3 - 640*B*C*a^2*c^9*d^9*f^3 - 1152*B*C*
a^2*c^11*d^7*f^3 - 640*B*C*a^2*c^13*d^5*f^3 - 128*B*C*a^2*c^15*d^3*f^3))*((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5
*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a
^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^
2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 1
60*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*
d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B
^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*C^2
*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2 +
8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2 - 4
0*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3*d^
2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5
*c^8*d^2*f^4)))^(1/2) - 16*B^3*a^3*d^16*f^2 - 192*A^3*a^3*c^3*d^13*f^2 - 480*A^3*a^3*c^5*d^11*f^2 - 640*A^3*a^
3*c^7*d^9*f^2 - 480*A^3*a^3*c^9*d^7*f^2 - 192*A^3*a^3*c^11*d^5*f^2 - 32*A^3*a^3*c^13*d^3*f^2 - 80*B^3*a^3*c^2*
d^14*f^2 - 144*B^3*a^3*c^4*d^12*f^2 - 80*B^3*a^3*c^6*d^10*f^2 + 80*B^3*a^3*c^8*d^8*f^2 + 144*B^3*a^3*c^10*d^6*
f^2 + 80*B^3*a^3*c^12*d^4*f^2 + 16*B^3*a^3*c^14*d^2*f^2 + 192*C^3*a^3*c^3*d^13*f^2 + 480*C^3*a^3*c^5*d^11*f^2
+ 640*C^3*a^3*c^7*d^9*f^2 + 480*C^3*a^3*c^9*d^7*f^2 + 192*C^3*a^3*c^11*d^5*f^2 + 32*C^3*a^3*c^13*d^3*f^2 - 16*
A^2*B*a^3*d^16*f^2 - 16*B*C^2*a^3*d^16*f^2 - 32*A^3*a^3*c*d^15*f^2 + 32*C^3*a^3*c*d^15*f^2 - 192*A*B^2*a^3*c^3
*d^13*f^2 - 480*A*B^2*a^3*c^5*d^11*f^2 - 640*A*B^2*a^3*c^7*d^9*f^2 - 480*A*B^2*a^3*c^9*d^7*f^2 - 192*A*B^2*a^3
*c^11*d^5*f^2 - 32*A*B^2*a^3*c^13*d^3*f^2 - 80*A^2*B*a^3*c^2*d^14*f^2 - 144*A^2*B*a^3*c^4*d^12*f^2 - 80*A^2*B*
a^3*c^6*d^10*f^2 + 80*A^2*B*a^3*c^8*d^8*f^2 + 144*A^2*B*a^3*c^10*d^6*f^2 + 80*A^2*B*a^3*c^12*d^4*f^2 + 16*A^2*
B*a^3*c^14*d^2*f^2 - 576*A*C^2*a^3*c^3*d^13*f^2 - 1440*A*C^2*a^3*c^5*d^11*f^2 - 1920*A*C^2*a^3*c^7*d^9*f^2 - 1
440*A*C^2*a^3*c^9*d^7*f^2 - 576*A*C^2*a^3*c^11*d^5*f^2 - 96*A*C^2*a^3*c^13*d^3*f^2 + 576*A^2*C*a^3*c^3*d^13*f^
2 + 1440*A^2*C*a^3*c^5*d^11*f^2 + 1920*A^2*C*a^3*c^7*d^9*f^2 + 1440*A^2*C*a^3*c^9*d^7*f^2 + 576*A^2*C*a^3*c^11
*d^5*f^2 + 96*A^2*C*a^3*c^13*d^3*f^2 - 80*B*C^2*a^3*c^2*d^14*f^2 - 144*B*C^2*a^3*c^4*d^12*f^2 - 80*B*C^2*a^3*c
^6*d^10*f^2 + 80*B*C^2*a^3*c^8*d^8*f^2 + 144*B*C^2*a^3*c^10*d^6*f^2 + 80*B*C^2*a^3*c^12*d^4*f^2 + 16*B*C^2*a^3
*c^14*d^2*f^2 + 192*B^2*C*a^3*c^3*d^13*f^2 + 480*B^2*C*a^3*c^5*d^11*f^2 + 640*B^2*C*a^3*c^7*d^9*f^2 + 480*B^2*
C*a^3*c^9*d^7*f^2 + 192*B^2*C*a^3*c^11*d^5*f^2 + 32*B^2*C*a^3*c^13*d^3*f^2 + 32*A*B*C*a^3*d^16*f^2 - 32*A*B^2*
a^3*c*d^15*f^2 - 96*A*C^2*a^3*c*d^15*f^2 + 96*A^2*C*a^3*c*d^15*f^2 + 32*B^2*C*a^3*c*d^15*f^2 + 160*A*B*C*a^3*c
^2*d^14*f^2 + 288*A*B*C*a^3*c^4*d^12*f^2 + 160*A*B*C*a^3*c^6*d^10*f^2 - 160*A*B*C*a^3*c^8*d^8*f^2 - 288*A*B*C*
a^3*c^10*d^6*f^2 - 160*A*B*C*a^3*c^12*d^4*f^2 - 32*A*B*C*a^3*c^14*d^2*f^2))*((((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*
c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*
B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2
*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2
+ 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c
^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^
2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) - 4*A^2*a^2*c^5*f^2 + 4*B^2*a^2*c^5*f^2 - 4*
C^2*a^2*c^5*f^2 + 40*A^2*a^2*c^3*d^2*f^2 - 40*B^2*a^2*c^3*d^2*f^2 + 40*C^2*a^2*c^3*d^2*f^2 - 8*A*B*a^2*d^5*f^2
+ 8*A*C*a^2*c^5*f^2 + 8*B*C*a^2*d^5*f^2 - 20*A^2*a^2*c*d^4*f^2 + 20*B^2*a^2*c*d^4*f^2 - 20*C^2*a^2*c*d^4*f^2
- 40*A*B*a^2*c^4*d*f^2 + 40*A*C*a^2*c*d^4*f^2 + 40*B*C*a^2*c^4*d*f^2 + 80*A*B*a^2*c^2*d^3*f^2 - 80*A*C*a^2*c^3
*d^2*f^2 - 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4
+ 5*c^8*d^2*f^4)))^(1/2)*2i - atan((((-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a
^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 1
6*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2
- 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^
2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*
d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*
a^4 - 4*A*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c^3*d^2*f
^2 + 40*B^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f
^2 + 20*A^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*C*a^2*c*
d^4*f^2 - 40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*f^2)/(16
*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e
+ f*x))^(1/2)*(-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^
2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40
*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2
- 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (
16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^
4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^
(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 + 40*B^2*a^2*c^3*d^
2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 + 20*A^2*a^2*c*d^4*
f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f^2 - 40*B*C*a^2*c
^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4
+ 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 +
2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680
*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*A*a*d^21*f^4 + 32*C*a*d^21*f^4 -
160*A*a*c^2*d^19*f^4 - 128*A*a*c^4*d^17*f^4 + 896*A*a*c^6*d^15*f^4 + 3136*A*a*c^8*d^13*f^4 + 4928*A*a*c^10*d^1
1*f^4 + 4480*A*a*c^12*d^9*f^4 + 2432*A*a*c^14*d^7*f^4 + 736*A*a*c^16*d^5*f^4 + 96*A*a*c^18*d^3*f^4 + 736*B*a*c
^3*d^18*f^4 + 2432*B*a*c^5*d^16*f^4 + 4480*B*a*c^7*d^14*f^4 + 4928*B*a*c^9*d^12*f^4 + 3136*B*a*c^11*d^10*f^4 +
896*B*a*c^13*d^8*f^4 - 128*B*a*c^15*d^6*f^4 - 160*B*a*c^17*d^4*f^4 - 32*B*a*c^19*d^2*f^4 + 160*C*a*c^2*d^19*f
^4 + 128*C*a*c^4*d^17*f^4 - 896*C*a*c^6*d^15*f^4 - 3136*C*a*c^8*d^13*f^4 - 4928*C*a*c^10*d^11*f^4 - 4480*C*a*c
^12*d^9*f^4 - 2432*C*a*c^14*d^7*f^4 - 736*C*a*c^16*d^5*f^4 - 96*C*a*c^18*d^3*f^4 + 96*B*a*c*d^20*f^4) + (c + d
*tan(e + f*x))^(1/2)*(16*A^2*a^2*d^18*f^3 - 16*B^2*a^2*d^18*f^3 + 16*C^2*a^2*d^18*f^3 - 320*A^2*a^2*c^4*d^14*f
^3 - 1024*A^2*a^2*c^6*d^12*f^3 - 1440*A^2*a^2*c^8*d^10*f^3 - 1024*A^2*a^2*c^10*d^8*f^3 - 320*A^2*a^2*c^12*d^6*
f^3 + 16*A^2*a^2*c^16*d^2*f^3 + 320*B^2*a^2*c^4*d^14*f^3 + 1024*B^2*a^2*c^6*d^12*f^3 + 1440*B^2*a^2*c^8*d^10*f
^3 + 1024*B^2*a^2*c^10*d^8*f^3 + 320*B^2*a^2*c^12*d^6*f^3 - 16*B^2*a^2*c^16*d^2*f^3 - 320*C^2*a^2*c^4*d^14*f^3
- 1024*C^2*a^2*c^6*d^12*f^3 - 1440*C^2*a^2*c^8*d^10*f^3 - 1024*C^2*a^2*c^10*d^8*f^3 - 320*C^2*a^2*c^12*d^6*f^
3 + 16*C^2*a^2*c^16*d^2*f^3 - 32*A*C*a^2*d^18*f^3 - 128*A*B*a^2*c*d^17*f^3 + 128*B*C*a^2*c*d^17*f^3 - 640*A*B*
a^2*c^3*d^15*f^3 - 1152*A*B*a^2*c^5*d^13*f^3 - 640*A*B*a^2*c^7*d^11*f^3 + 640*A*B*a^2*c^9*d^9*f^3 + 1152*A*B*a
^2*c^11*d^7*f^3 + 640*A*B*a^2*c^13*d^5*f^3 + 128*A*B*a^2*c^15*d^3*f^3 + 640*A*C*a^2*c^4*d^14*f^3 + 2048*A*C*a^
2*c^6*d^12*f^3 + 2880*A*C*a^2*c^8*d^10*f^3 + 2048*A*C*a^2*c^10*d^8*f^3 + 640*A*C*a^2*c^12*d^6*f^3 - 32*A*C*a^2
*c^16*d^2*f^3 + 640*B*C*a^2*c^3*d^15*f^3 + 1152*B*C*a^2*c^5*d^13*f^3 + 640*B*C*a^2*c^7*d^11*f^3 - 640*B*C*a^2*
c^9*d^9*f^3 - 1152*B*C*a^2*c^11*d^7*f^3 - 640*B*C*a^2*c^13*d^5*f^3 - 128*B*C*a^2*c^15*d^3*f^3))*(-(((8*A^2*a^2
*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^
2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a
^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160
*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 8
0*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4
- 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4
*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 + 40*B^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^
2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 + 20*A^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 +
20*C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f^2 - 40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3
*f^2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*
f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i - ((-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5
*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*
a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B
*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f
^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^
4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a
^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^
2*a^2*c^3*d^2*f^2 + 40*B^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 -
8*B*C*a^2*d^5*f^2 + 20*A^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2
- 40*A*C*a^2*c*d^4*f^2 - 40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c
^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2
)*(32*C*a*d^21*f^4 - 32*A*a*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 +
8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5
*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^
4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C
*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^
4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4
+ 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c
^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 + 40*B^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*
a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 + 20*A^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B*
a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f^2 - 40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2
+ 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d
^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5
+ 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c
^21*d^2*f^5) - 160*A*a*c^2*d^19*f^4 - 128*A*a*c^4*d^17*f^4 + 896*A*a*c^6*d^15*f^4 + 3136*A*a*c^8*d^13*f^4 + 49
28*A*a*c^10*d^11*f^4 + 4480*A*a*c^12*d^9*f^4 + 2432*A*a*c^14*d^7*f^4 + 736*A*a*c^16*d^5*f^4 + 96*A*a*c^18*d^3*
f^4 + 736*B*a*c^3*d^18*f^4 + 2432*B*a*c^5*d^16*f^4 + 4480*B*a*c^7*d^14*f^4 + 4928*B*a*c^9*d^12*f^4 + 3136*B*a*
c^11*d^10*f^4 + 896*B*a*c^13*d^8*f^4 - 128*B*a*c^15*d^6*f^4 - 160*B*a*c^17*d^4*f^4 - 32*B*a*c^19*d^2*f^4 + 160
*C*a*c^2*d^19*f^4 + 128*C*a*c^4*d^17*f^4 - 896*C*a*c^6*d^15*f^4 - 3136*C*a*c^8*d^13*f^4 - 4928*C*a*c^10*d^11*f
^4 - 4480*C*a*c^12*d^9*f^4 - 2432*C*a*c^14*d^7*f^4 - 736*C*a*c^16*d^5*f^4 - 96*C*a*c^18*d^3*f^4 + 96*B*a*c*d^2
0*f^4) - (c + d*tan(e + f*x))^(1/2)*(16*A^2*a^2*d^18*f^3 - 16*B^2*a^2*d^18*f^3 + 16*C^2*a^2*d^18*f^3 - 320*A^2
*a^2*c^4*d^14*f^3 - 1024*A^2*a^2*c^6*d^12*f^3 - 1440*A^2*a^2*c^8*d^10*f^3 - 1024*A^2*a^2*c^10*d^8*f^3 - 320*A^
2*a^2*c^12*d^6*f^3 + 16*A^2*a^2*c^16*d^2*f^3 + 320*B^2*a^2*c^4*d^14*f^3 + 1024*B^2*a^2*c^6*d^12*f^3 + 1440*B^2
*a^2*c^8*d^10*f^3 + 1024*B^2*a^2*c^10*d^8*f^3 + 320*B^2*a^2*c^12*d^6*f^3 - 16*B^2*a^2*c^16*d^2*f^3 - 320*C^2*a
^2*c^4*d^14*f^3 - 1024*C^2*a^2*c^6*d^12*f^3 - 1440*C^2*a^2*c^8*d^10*f^3 - 1024*C^2*a^2*c^10*d^8*f^3 - 320*C^2*
a^2*c^12*d^6*f^3 + 16*C^2*a^2*c^16*d^2*f^3 - 32*A*C*a^2*d^18*f^3 - 128*A*B*a^2*c*d^17*f^3 + 128*B*C*a^2*c*d^17
*f^3 - 640*A*B*a^2*c^3*d^15*f^3 - 1152*A*B*a^2*c^5*d^13*f^3 - 640*A*B*a^2*c^7*d^11*f^3 + 640*A*B*a^2*c^9*d^9*f
^3 + 1152*A*B*a^2*c^11*d^7*f^3 + 640*A*B*a^2*c^13*d^5*f^3 + 128*A*B*a^2*c^15*d^3*f^3 + 640*A*C*a^2*c^4*d^14*f^
3 + 2048*A*C*a^2*c^6*d^12*f^3 + 2880*A*C*a^2*c^8*d^10*f^3 + 2048*A*C*a^2*c^10*d^8*f^3 + 640*A*C*a^2*c^12*d^6*f
^3 - 32*A*C*a^2*c^16*d^2*f^3 + 640*B*C*a^2*c^3*d^15*f^3 + 1152*B*C*a^2*c^5*d^13*f^3 + 640*B*C*a^2*c^7*d^11*f^3
- 640*B*C*a^2*c^9*d^9*f^3 - 1152*B*C*a^2*c^11*d^7*f^3 - 640*B*C*a^2*c^13*d^5*f^3 - 128*B*C*a^2*c^15*d^3*f^3))
*(-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*
f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4
*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*
c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 +
16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^
4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) + 4*A^2*
a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 + 40*B^2*a^2*c^3*d^2*f^2 - 40*C^2
*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 + 20*A^2*a^2*c*d^4*f^2 - 20*B^2*a
^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f^2 - 40*B*C*a^2*c^4*d*f^2 - 80*
A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^
4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i)/(((-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2
+ 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^
5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d
^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*
C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f
^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^
4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*
c^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 + 40*B^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C
*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 + 20*A^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B
*a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f^2 - 40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2
+ 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*
d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 -
80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5
*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^
4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 16
0*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 +
80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*
B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c
^3*d^2*f^2 + 40*B^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a
^2*d^5*f^2 + 20*A^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*
C*a^2*c*d^4*f^2 - 40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*
f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c
*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^
5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*A*a
*d^21*f^4 + 32*C*a*d^21*f^4 - 160*A*a*c^2*d^19*f^4 - 128*A*a*c^4*d^17*f^4 + 896*A*a*c^6*d^15*f^4 + 3136*A*a*c^
8*d^13*f^4 + 4928*A*a*c^10*d^11*f^4 + 4480*A*a*c^12*d^9*f^4 + 2432*A*a*c^14*d^7*f^4 + 736*A*a*c^16*d^5*f^4 + 9
6*A*a*c^18*d^3*f^4 + 736*B*a*c^3*d^18*f^4 + 2432*B*a*c^5*d^16*f^4 + 4480*B*a*c^7*d^14*f^4 + 4928*B*a*c^9*d^12*
f^4 + 3136*B*a*c^11*d^10*f^4 + 896*B*a*c^13*d^8*f^4 - 128*B*a*c^15*d^6*f^4 - 160*B*a*c^17*d^4*f^4 - 32*B*a*c^1
9*d^2*f^4 + 160*C*a*c^2*d^19*f^4 + 128*C*a*c^4*d^17*f^4 - 896*C*a*c^6*d^15*f^4 - 3136*C*a*c^8*d^13*f^4 - 4928*
C*a*c^10*d^11*f^4 - 4480*C*a*c^12*d^9*f^4 - 2432*C*a*c^14*d^7*f^4 - 736*C*a*c^16*d^5*f^4 - 96*C*a*c^18*d^3*f^4
+ 96*B*a*c*d^20*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*A^2*a^2*d^18*f^3 - 16*B^2*a^2*d^18*f^3 + 16*C^2*a^2*d^1
8*f^3 - 320*A^2*a^2*c^4*d^14*f^3 - 1024*A^2*a^2*c^6*d^12*f^3 - 1440*A^2*a^2*c^8*d^10*f^3 - 1024*A^2*a^2*c^10*d
^8*f^3 - 320*A^2*a^2*c^12*d^6*f^3 + 16*A^2*a^2*c^16*d^2*f^3 + 320*B^2*a^2*c^4*d^14*f^3 + 1024*B^2*a^2*c^6*d^12
*f^3 + 1440*B^2*a^2*c^8*d^10*f^3 + 1024*B^2*a^2*c^10*d^8*f^3 + 320*B^2*a^2*c^12*d^6*f^3 - 16*B^2*a^2*c^16*d^2*
f^3 - 320*C^2*a^2*c^4*d^14*f^3 - 1024*C^2*a^2*c^6*d^12*f^3 - 1440*C^2*a^2*c^8*d^10*f^3 - 1024*C^2*a^2*c^10*d^8
*f^3 - 320*C^2*a^2*c^12*d^6*f^3 + 16*C^2*a^2*c^16*d^2*f^3 - 32*A*C*a^2*d^18*f^3 - 128*A*B*a^2*c*d^17*f^3 + 128
*B*C*a^2*c*d^17*f^3 - 640*A*B*a^2*c^3*d^15*f^3 - 1152*A*B*a^2*c^5*d^13*f^3 - 640*A*B*a^2*c^7*d^11*f^3 + 640*A*
B*a^2*c^9*d^9*f^3 + 1152*A*B*a^2*c^11*d^7*f^3 + 640*A*B*a^2*c^13*d^5*f^3 + 128*A*B*a^2*c^15*d^3*f^3 + 640*A*C*
a^2*c^4*d^14*f^3 + 2048*A*C*a^2*c^6*d^12*f^3 + 2880*A*C*a^2*c^8*d^10*f^3 + 2048*A*C*a^2*c^10*d^8*f^3 + 640*A*C
*a^2*c^12*d^6*f^3 - 32*A*C*a^2*c^16*d^2*f^3 + 640*B*C*a^2*c^3*d^15*f^3 + 1152*B*C*a^2*c^5*d^13*f^3 + 640*B*C*a
^2*c^7*d^11*f^3 - 640*B*C*a^2*c^9*d^9*f^3 - 1152*B*C*a^2*c^11*d^7*f^3 - 640*B*C*a^2*c^13*d^5*f^3 - 128*B*C*a^2
*c^15*d^3*f^3))*(-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B
^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 4
0*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^
2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 -
(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B
^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))
^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 + 40*B^2*a^2*c^3*d
^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 + 20*A^2*a^2*c*d^4
*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f^2 - 40*B*C*a^2*
c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4
+ 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) + ((-(((8*A^2*a^2*c^5*f^2 - 8*B^2*
a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 1
6*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40
*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*
f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 1
60*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 +
2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2
+ 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 + 40*B^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5
*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 + 20*A^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*
f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f^2 - 40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2
*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*
f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*C*a*d^21*f^4 - 32*A*a*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8*A^2*a^2*c^
5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c
^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*
c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*
B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c
^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 -
4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^
2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 + 40*B^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 +
8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 + 20*A^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*
C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f^2 - 40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^
2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4
+ 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^
16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^
5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*A*a*c^2*d^19*f^4 - 128*A*a*c^4*d^17*f^4 + 896*A*a*c^6*d^15*f^4 +
3136*A*a*c^8*d^13*f^4 + 4928*A*a*c^10*d^11*f^4 + 4480*A*a*c^12*d^9*f^4 + 2432*A*a*c^14*d^7*f^4 + 736*A*a*c^16
*d^5*f^4 + 96*A*a*c^18*d^3*f^4 + 736*B*a*c^3*d^18*f^4 + 2432*B*a*c^5*d^16*f^4 + 4480*B*a*c^7*d^14*f^4 + 4928*B
*a*c^9*d^12*f^4 + 3136*B*a*c^11*d^10*f^4 + 896*B*a*c^13*d^8*f^4 - 128*B*a*c^15*d^6*f^4 - 160*B*a*c^17*d^4*f^4
- 32*B*a*c^19*d^2*f^4 + 160*C*a*c^2*d^19*f^4 + 128*C*a*c^4*d^17*f^4 - 896*C*a*c^6*d^15*f^4 - 3136*C*a*c^8*d^13
*f^4 - 4928*C*a*c^10*d^11*f^4 - 4480*C*a*c^12*d^9*f^4 - 2432*C*a*c^14*d^7*f^4 - 736*C*a*c^16*d^5*f^4 - 96*C*a*
c^18*d^3*f^4 + 96*B*a*c*d^20*f^4) - (c + d*tan(e + f*x))^(1/2)*(16*A^2*a^2*d^18*f^3 - 16*B^2*a^2*d^18*f^3 + 16
*C^2*a^2*d^18*f^3 - 320*A^2*a^2*c^4*d^14*f^3 - 1024*A^2*a^2*c^6*d^12*f^3 - 1440*A^2*a^2*c^8*d^10*f^3 - 1024*A^
2*a^2*c^10*d^8*f^3 - 320*A^2*a^2*c^12*d^6*f^3 + 16*A^2*a^2*c^16*d^2*f^3 + 320*B^2*a^2*c^4*d^14*f^3 + 1024*B^2*
a^2*c^6*d^12*f^3 + 1440*B^2*a^2*c^8*d^10*f^3 + 1024*B^2*a^2*c^10*d^8*f^3 + 320*B^2*a^2*c^12*d^6*f^3 - 16*B^2*a
^2*c^16*d^2*f^3 - 320*C^2*a^2*c^4*d^14*f^3 - 1024*C^2*a^2*c^6*d^12*f^3 - 1440*C^2*a^2*c^8*d^10*f^3 - 1024*C^2*
a^2*c^10*d^8*f^3 - 320*C^2*a^2*c^12*d^6*f^3 + 16*C^2*a^2*c^16*d^2*f^3 - 32*A*C*a^2*d^18*f^3 - 128*A*B*a^2*c*d^
17*f^3 + 128*B*C*a^2*c*d^17*f^3 - 640*A*B*a^2*c^3*d^15*f^3 - 1152*A*B*a^2*c^5*d^13*f^3 - 640*A*B*a^2*c^7*d^11*
f^3 + 640*A*B*a^2*c^9*d^9*f^3 + 1152*A*B*a^2*c^11*d^7*f^3 + 640*A*B*a^2*c^13*d^5*f^3 + 128*A*B*a^2*c^15*d^3*f^
3 + 640*A*C*a^2*c^4*d^14*f^3 + 2048*A*C*a^2*c^6*d^12*f^3 + 2880*A*C*a^2*c^8*d^10*f^3 + 2048*A*C*a^2*c^10*d^8*f
^3 + 640*A*C*a^2*c^12*d^6*f^3 - 32*A*C*a^2*c^16*d^2*f^3 + 640*B*C*a^2*c^3*d^15*f^3 + 1152*B*C*a^2*c^5*d^13*f^3
+ 640*B*C*a^2*c^7*d^11*f^3 - 640*B*C*a^2*c^9*d^9*f^3 - 1152*B*C*a^2*c^11*d^7*f^3 - 640*B*C*a^2*c^13*d^5*f^3 -
128*B*C*a^2*c^15*d^3*f^3))*(-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^3*d^
2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C*a^2
*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*A*C*
a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2*d^3
*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*
(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 - 4*A
*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 + 40*B
^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 + 20*A
^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f^2 -
40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^10*f^
4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) - 16*B^3*a^3*d^16*f^2
- 192*A^3*a^3*c^3*d^13*f^2 - 480*A^3*a^3*c^5*d^11*f^2 - 640*A^3*a^3*c^7*d^9*f^2 - 480*A^3*a^3*c^9*d^7*f^2 - 19
2*A^3*a^3*c^11*d^5*f^2 - 32*A^3*a^3*c^13*d^3*f^2 - 80*B^3*a^3*c^2*d^14*f^2 - 144*B^3*a^3*c^4*d^12*f^2 - 80*B^3
*a^3*c^6*d^10*f^2 + 80*B^3*a^3*c^8*d^8*f^2 + 144*B^3*a^3*c^10*d^6*f^2 + 80*B^3*a^3*c^12*d^4*f^2 + 16*B^3*a^3*c
^14*d^2*f^2 + 192*C^3*a^3*c^3*d^13*f^2 + 480*C^3*a^3*c^5*d^11*f^2 + 640*C^3*a^3*c^7*d^9*f^2 + 480*C^3*a^3*c^9*
d^7*f^2 + 192*C^3*a^3*c^11*d^5*f^2 + 32*C^3*a^3*c^13*d^3*f^2 - 16*A^2*B*a^3*d^16*f^2 - 16*B*C^2*a^3*d^16*f^2 -
32*A^3*a^3*c*d^15*f^2 + 32*C^3*a^3*c*d^15*f^2 - 192*A*B^2*a^3*c^3*d^13*f^2 - 480*A*B^2*a^3*c^5*d^11*f^2 - 640
*A*B^2*a^3*c^7*d^9*f^2 - 480*A*B^2*a^3*c^9*d^7*f^2 - 192*A*B^2*a^3*c^11*d^5*f^2 - 32*A*B^2*a^3*c^13*d^3*f^2 -
80*A^2*B*a^3*c^2*d^14*f^2 - 144*A^2*B*a^3*c^4*d^12*f^2 - 80*A^2*B*a^3*c^6*d^10*f^2 + 80*A^2*B*a^3*c^8*d^8*f^2
+ 144*A^2*B*a^3*c^10*d^6*f^2 + 80*A^2*B*a^3*c^12*d^4*f^2 + 16*A^2*B*a^3*c^14*d^2*f^2 - 576*A*C^2*a^3*c^3*d^13*
f^2 - 1440*A*C^2*a^3*c^5*d^11*f^2 - 1920*A*C^2*a^3*c^7*d^9*f^2 - 1440*A*C^2*a^3*c^9*d^7*f^2 - 576*A*C^2*a^3*c^
11*d^5*f^2 - 96*A*C^2*a^3*c^13*d^3*f^2 + 576*A^2*C*a^3*c^3*d^13*f^2 + 1440*A^2*C*a^3*c^5*d^11*f^2 + 1920*A^2*C
*a^3*c^7*d^9*f^2 + 1440*A^2*C*a^3*c^9*d^7*f^2 + 576*A^2*C*a^3*c^11*d^5*f^2 + 96*A^2*C*a^3*c^13*d^3*f^2 - 80*B*
C^2*a^3*c^2*d^14*f^2 - 144*B*C^2*a^3*c^4*d^12*f^2 - 80*B*C^2*a^3*c^6*d^10*f^2 + 80*B*C^2*a^3*c^8*d^8*f^2 + 144
*B*C^2*a^3*c^10*d^6*f^2 + 80*B*C^2*a^3*c^12*d^4*f^2 + 16*B*C^2*a^3*c^14*d^2*f^2 + 192*B^2*C*a^3*c^3*d^13*f^2 +
480*B^2*C*a^3*c^5*d^11*f^2 + 640*B^2*C*a^3*c^7*d^9*f^2 + 480*B^2*C*a^3*c^9*d^7*f^2 + 192*B^2*C*a^3*c^11*d^5*f
^2 + 32*B^2*C*a^3*c^13*d^3*f^2 + 32*A*B*C*a^3*d^16*f^2 - 32*A*B^2*a^3*c*d^15*f^2 - 96*A*C^2*a^3*c*d^15*f^2 + 9
6*A^2*C*a^3*c*d^15*f^2 + 32*B^2*C*a^3*c*d^15*f^2 + 160*A*B*C*a^3*c^2*d^14*f^2 + 288*A*B*C*a^3*c^4*d^12*f^2 + 1
60*A*B*C*a^3*c^6*d^10*f^2 - 160*A*B*C*a^3*c^8*d^8*f^2 - 288*A*B*C*a^3*c^10*d^6*f^2 - 160*A*B*C*a^3*c^12*d^4*f^
2 - 32*A*B*C*a^3*c^14*d^2*f^2))*(-(((8*A^2*a^2*c^5*f^2 - 8*B^2*a^2*c^5*f^2 + 8*C^2*a^2*c^5*f^2 - 80*A^2*a^2*c^
3*d^2*f^2 + 80*B^2*a^2*c^3*d^2*f^2 - 80*C^2*a^2*c^3*d^2*f^2 + 16*A*B*a^2*d^5*f^2 - 16*A*C*a^2*c^5*f^2 - 16*B*C
*a^2*d^5*f^2 + 40*A^2*a^2*c*d^4*f^2 - 40*B^2*a^2*c*d^4*f^2 + 40*C^2*a^2*c*d^4*f^2 + 80*A*B*a^2*c^4*d*f^2 - 80*
A*C*a^2*c*d^4*f^2 - 80*B*C*a^2*c^4*d*f^2 - 160*A*B*a^2*c^2*d^3*f^2 + 160*A*C*a^2*c^3*d^2*f^2 + 160*B*C*a^2*c^2
*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f
^4)*(A^4*a^4 + B^4*a^4 + C^4*a^4 - 4*A*C^3*a^4 - 4*A^3*C*a^4 + 2*A^2*B^2*a^4 + 6*A^2*C^2*a^4 + 2*B^2*C^2*a^4 -
4*A*B^2*C*a^4))^(1/2) + 4*A^2*a^2*c^5*f^2 - 4*B^2*a^2*c^5*f^2 + 4*C^2*a^2*c^5*f^2 - 40*A^2*a^2*c^3*d^2*f^2 +
40*B^2*a^2*c^3*d^2*f^2 - 40*C^2*a^2*c^3*d^2*f^2 + 8*A*B*a^2*d^5*f^2 - 8*A*C*a^2*c^5*f^2 - 8*B*C*a^2*d^5*f^2 +
20*A^2*a^2*c*d^4*f^2 - 20*B^2*a^2*c*d^4*f^2 + 20*C^2*a^2*c*d^4*f^2 + 40*A*B*a^2*c^4*d*f^2 - 40*A*C*a^2*c*d^4*f
^2 - 40*B*C*a^2*c^4*d*f^2 - 80*A*B*a^2*c^2*d^3*f^2 + 80*A*C*a^2*c^3*d^2*f^2 + 80*B*C*a^2*c^2*d^3*f^2)/(16*(c^1
0*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*2i - ((2*(A*a*d^2
+ C*a*c^2 - B*a*c*d))/(3*(c^2 + d^2)) - (2*d*(c + d*tan(e + f*x))*(B*a*c^2 - B*a*d^2 - 2*A*a*c*d + 2*C*a*c*d))
/(c^2 + d^2)^2)/(d*f*(c + d*tan(e + f*x))^(3/2)) - atan(-(((c + d*tan(e + f*x))^(1/2)*(16*A^2*b^2*d^18*f^3 - 1
6*B^2*b^2*d^18*f^3 + 16*C^2*b^2*d^18*f^3 - 320*A^2*b^2*c^4*d^14*f^3 - 1024*A^2*b^2*c^6*d^12*f^3 - 1440*A^2*b^2
*c^8*d^10*f^3 - 1024*A^2*b^2*c^10*d^8*f^3 - 320*A^2*b^2*c^12*d^6*f^3 + 16*A^2*b^2*c^16*d^2*f^3 + 320*B^2*b^2*c
^4*d^14*f^3 + 1024*B^2*b^2*c^6*d^12*f^3 + 1440*B^2*b^2*c^8*d^10*f^3 + 1024*B^2*b^2*c^10*d^8*f^3 + 320*B^2*b^2*
c^12*d^6*f^3 - 16*B^2*b^2*c^16*d^2*f^3 - 320*C^2*b^2*c^4*d^14*f^3 - 1024*C^2*b^2*c^6*d^12*f^3 - 1440*C^2*b^2*c
^8*d^10*f^3 - 1024*C^2*b^2*c^10*d^8*f^3 - 320*C^2*b^2*c^12*d^6*f^3 + 16*C^2*b^2*c^16*d^2*f^3 - 32*A*C*b^2*d^18
*f^3 - 128*A*B*b^2*c*d^17*f^3 + 128*B*C*b^2*c*d^17*f^3 - 640*A*B*b^2*c^3*d^15*f^3 - 1152*A*B*b^2*c^5*d^13*f^3
- 640*A*B*b^2*c^7*d^11*f^3 + 640*A*B*b^2*c^9*d^9*f^3 + 1152*A*B*b^2*c^11*d^7*f^3 + 640*A*B*b^2*c^13*d^5*f^3 +
128*A*B*b^2*c^15*d^3*f^3 + 640*A*C*b^2*c^4*d^14*f^3 + 2048*A*C*b^2*c^6*d^12*f^3 + 2880*A*C*b^2*c^8*d^10*f^3 +
2048*A*C*b^2*c^10*d^8*f^3 + 640*A*C*b^2*c^12*d^6*f^3 - 32*A*C*b^2*c^16*d^2*f^3 + 640*B*C*b^2*c^3*d^15*f^3 + 11
52*B*C*b^2*c^5*d^13*f^3 + 640*B*C*b^2*c^7*d^11*f^3 - 640*B*C*b^2*c^9*d^9*f^3 - 1152*B*C*b^2*c^11*d^7*f^3 - 640
*B*C*b^2*c^13*d^5*f^3 - 128*B*C*b^2*c^15*d^3*f^3) + (-(((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5
*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*
b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B
*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f
^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^
4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b
^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^
2*b^2*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 +
8*B*C*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2
+ 40*A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c
^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2
)*(128*A*b*c^15*d^6*f^4 - 32*B*b*d^21*f^4 - 736*A*b*c^3*d^18*f^4 - 2432*A*b*c^5*d^16*f^4 - 4480*A*b*c^7*d^14*f
^4 - 4928*A*b*c^9*d^12*f^4 - 3136*A*b*c^11*d^10*f^4 - 896*A*b*c^13*d^8*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8
*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 8
0*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 -
40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f
^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10
*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A
*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5
*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^2*b^2*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^
3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 + 8*B*C*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^
4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2 + 40*A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2
*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*
c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 +
7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*
c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) + 160*A*b*c^17*d^4*f^4 + 32*A*b*c^19*d^2*f^4 - 160*B*b*c^2*
d^19*f^4 - 128*B*b*c^4*d^17*f^4 + 896*B*b*c^6*d^15*f^4 + 3136*B*b*c^8*d^13*f^4 + 4928*B*b*c^10*d^11*f^4 + 4480
*B*b*c^12*d^9*f^4 + 2432*B*b*c^14*d^7*f^4 + 736*B*b*c^16*d^5*f^4 + 96*B*b*c^18*d^3*f^4 + 736*C*b*c^3*d^18*f^4
+ 2432*C*b*c^5*d^16*f^4 + 4480*C*b*c^7*d^14*f^4 + 4928*C*b*c^9*d^12*f^4 + 3136*C*b*c^11*d^10*f^4 + 896*C*b*c^1
3*d^8*f^4 - 128*C*b*c^15*d^6*f^4 - 160*C*b*c^17*d^4*f^4 - 32*C*b*c^19*d^2*f^4 - 96*A*b*c*d^20*f^4 + 96*C*b*c*d
^20*f^4))*(-(((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2
*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*
b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80
*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^
10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4
+ C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2)
- 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^2*b^2*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2
+ 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 + 8*B*C*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 +
20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2 + 40*A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*
f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c
^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i + ((c + d*tan(e + f*x))^(1/2)*(16*A^2
*b^2*d^18*f^3 - 16*B^2*b^2*d^18*f^3 + 16*C^2*b^2*d^18*f^3 - 320*A^2*b^2*c^4*d^14*f^3 - 1024*A^2*b^2*c^6*d^12*f
^3 - 1440*A^2*b^2*c^8*d^10*f^3 - 1024*A^2*b^2*c^10*d^8*f^3 - 320*A^2*b^2*c^12*d^6*f^3 + 16*A^2*b^2*c^16*d^2*f^
3 + 320*B^2*b^2*c^4*d^14*f^3 + 1024*B^2*b^2*c^6*d^12*f^3 + 1440*B^2*b^2*c^8*d^10*f^3 + 1024*B^2*b^2*c^10*d^8*f
^3 + 320*B^2*b^2*c^12*d^6*f^3 - 16*B^2*b^2*c^16*d^2*f^3 - 320*C^2*b^2*c^4*d^14*f^3 - 1024*C^2*b^2*c^6*d^12*f^3
- 1440*C^2*b^2*c^8*d^10*f^3 - 1024*C^2*b^2*c^10*d^8*f^3 - 320*C^2*b^2*c^12*d^6*f^3 + 16*C^2*b^2*c^16*d^2*f^3
- 32*A*C*b^2*d^18*f^3 - 128*A*B*b^2*c*d^17*f^3 + 128*B*C*b^2*c*d^17*f^3 - 640*A*B*b^2*c^3*d^15*f^3 - 1152*A*B*
b^2*c^5*d^13*f^3 - 640*A*B*b^2*c^7*d^11*f^3 + 640*A*B*b^2*c^9*d^9*f^3 + 1152*A*B*b^2*c^11*d^7*f^3 + 640*A*B*b^
2*c^13*d^5*f^3 + 128*A*B*b^2*c^15*d^3*f^3 + 640*A*C*b^2*c^4*d^14*f^3 + 2048*A*C*b^2*c^6*d^12*f^3 + 2880*A*C*b^
2*c^8*d^10*f^3 + 2048*A*C*b^2*c^10*d^8*f^3 + 640*A*C*b^2*c^12*d^6*f^3 - 32*A*C*b^2*c^16*d^2*f^3 + 640*B*C*b^2*
c^3*d^15*f^3 + 1152*B*C*b^2*c^5*d^13*f^3 + 640*B*C*b^2*c^7*d^11*f^3 - 640*B*C*b^2*c^9*d^9*f^3 - 1152*B*C*b^2*c
^11*d^7*f^3 - 640*B*C*b^2*c^13*d^5*f^3 - 128*B*C*b^2*c^15*d^3*f^3) - (-(((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^
2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*
d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c
*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*
A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6
*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*
b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^
2*c^5*f^2 + 40*A^2*b^2*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A
*C*b^2*c^5*f^2 + 8*B*C*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A
*B*b^2*c^4*d*f^2 + 40*A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f
^2 - 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^
8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2
- 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c
^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*
c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 +
160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4
+ 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 +
2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^2*b^2
*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 + 8*B*C
*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2 + 40*
A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c^2*d^
3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64
*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*
f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*B
*b*d^21*f^4 - 736*A*b*c^3*d^18*f^4 - 2432*A*b*c^5*d^16*f^4 - 4480*A*b*c^7*d^14*f^4 - 4928*A*b*c^9*d^12*f^4 - 3
136*A*b*c^11*d^10*f^4 - 896*A*b*c^13*d^8*f^4 + 128*A*b*c^15*d^6*f^4 + 160*A*b*c^17*d^4*f^4 + 32*A*b*c^19*d^2*f
^4 - 160*B*b*c^2*d^19*f^4 - 128*B*b*c^4*d^17*f^4 + 896*B*b*c^6*d^15*f^4 + 3136*B*b*c^8*d^13*f^4 + 4928*B*b*c^1
0*d^11*f^4 + 4480*B*b*c^12*d^9*f^4 + 2432*B*b*c^14*d^7*f^4 + 736*B*b*c^16*d^5*f^4 + 96*B*b*c^18*d^3*f^4 + 736*
C*b*c^3*d^18*f^4 + 2432*C*b*c^5*d^16*f^4 + 4480*C*b*c^7*d^14*f^4 + 4928*C*b*c^9*d^12*f^4 + 3136*C*b*c^11*d^10*
f^4 + 896*C*b*c^13*d^8*f^4 - 128*C*b*c^15*d^6*f^4 - 160*C*b*c^17*d^4*f^4 - 32*C*b*c^19*d^2*f^4 - 96*A*b*c*d^20
*f^4 + 96*C*b*c*d^20*f^4))*(-(((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2
*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*
d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b
^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*
f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(
A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*
B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^2*b^2*c^3*d^2*f^2 - 40*B^
2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 + 8*B*C*b^2*d^5*f^2 - 20*A^
2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2 + 40*A*C*b^2*c*d^4*f^2 +
40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4
+ d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i)/(((c + d*tan(e + f*
x))^(1/2)*(16*A^2*b^2*d^18*f^3 - 16*B^2*b^2*d^18*f^3 + 16*C^2*b^2*d^18*f^3 - 320*A^2*b^2*c^4*d^14*f^3 - 1024*A
^2*b^2*c^6*d^12*f^3 - 1440*A^2*b^2*c^8*d^10*f^3 - 1024*A^2*b^2*c^10*d^8*f^3 - 320*A^2*b^2*c^12*d^6*f^3 + 16*A^
2*b^2*c^16*d^2*f^3 + 320*B^2*b^2*c^4*d^14*f^3 + 1024*B^2*b^2*c^6*d^12*f^3 + 1440*B^2*b^2*c^8*d^10*f^3 + 1024*B
^2*b^2*c^10*d^8*f^3 + 320*B^2*b^2*c^12*d^6*f^3 - 16*B^2*b^2*c^16*d^2*f^3 - 320*C^2*b^2*c^4*d^14*f^3 - 1024*C^2
*b^2*c^6*d^12*f^3 - 1440*C^2*b^2*c^8*d^10*f^3 - 1024*C^2*b^2*c^10*d^8*f^3 - 320*C^2*b^2*c^12*d^6*f^3 + 16*C^2*
b^2*c^16*d^2*f^3 - 32*A*C*b^2*d^18*f^3 - 128*A*B*b^2*c*d^17*f^3 + 128*B*C*b^2*c*d^17*f^3 - 640*A*B*b^2*c^3*d^1
5*f^3 - 1152*A*B*b^2*c^5*d^13*f^3 - 640*A*B*b^2*c^7*d^11*f^3 + 640*A*B*b^2*c^9*d^9*f^3 + 1152*A*B*b^2*c^11*d^7
*f^3 + 640*A*B*b^2*c^13*d^5*f^3 + 128*A*B*b^2*c^15*d^3*f^3 + 640*A*C*b^2*c^4*d^14*f^3 + 2048*A*C*b^2*c^6*d^12*
f^3 + 2880*A*C*b^2*c^8*d^10*f^3 + 2048*A*C*b^2*c^10*d^8*f^3 + 640*A*C*b^2*c^12*d^6*f^3 - 32*A*C*b^2*c^16*d^2*f
^3 + 640*B*C*b^2*c^3*d^15*f^3 + 1152*B*C*b^2*c^5*d^13*f^3 + 640*B*C*b^2*c^7*d^11*f^3 - 640*B*C*b^2*c^9*d^9*f^3
- 1152*B*C*b^2*c^11*d^7*f^3 - 640*B*C*b^2*c^13*d^5*f^3 - 128*B*C*b^2*c^15*d^3*f^3) - (-(((8*A^2*b^2*c^5*f^2 -
8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*
f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f
^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c
^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*
f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C
*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c
^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^2*b^2*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*
b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 + 8*B*C*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2
*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2 + 40*A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*
A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c
^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8
*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f
^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*
f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b
^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4
+ 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 +
6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5
*f^2 + 40*A^2*b^2*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^
2*c^5*f^2 + 8*B*C*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^
2*c^4*d*f^2 + 40*A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 -
80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2
*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 +
16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^2
1*d^2*f^5) - 32*B*b*d^21*f^4 - 736*A*b*c^3*d^18*f^4 - 2432*A*b*c^5*d^16*f^4 - 4480*A*b*c^7*d^14*f^4 - 4928*A*b
*c^9*d^12*f^4 - 3136*A*b*c^11*d^10*f^4 - 896*A*b*c^13*d^8*f^4 + 128*A*b*c^15*d^6*f^4 + 160*A*b*c^17*d^4*f^4 +
32*A*b*c^19*d^2*f^4 - 160*B*b*c^2*d^19*f^4 - 128*B*b*c^4*d^17*f^4 + 896*B*b*c^6*d^15*f^4 + 3136*B*b*c^8*d^13*f
^4 + 4928*B*b*c^10*d^11*f^4 + 4480*B*b*c^12*d^9*f^4 + 2432*B*b*c^14*d^7*f^4 + 736*B*b*c^16*d^5*f^4 + 96*B*b*c^
18*d^3*f^4 + 736*C*b*c^3*d^18*f^4 + 2432*C*b*c^5*d^16*f^4 + 4480*C*b*c^7*d^14*f^4 + 4928*C*b*c^9*d^12*f^4 + 31
36*C*b*c^11*d^10*f^4 + 896*C*b*c^13*d^8*f^4 - 128*C*b*c^15*d^6*f^4 - 160*C*b*c^17*d^4*f^4 - 32*C*b*c^19*d^2*f^
4 - 96*A*b*c*d^20*f^4 + 96*C*b*c*d^20*f^4))*(-(((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 8
0*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*
f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4
*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160
*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 +
80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B
^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^2*b^2*c^
3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 + 8*B*C*b^
2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2 + 40*A*C
*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c^2*d^3*f
^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) - ((c
+ d*tan(e + f*x))^(1/2)*(16*A^2*b^2*d^18*f^3 - 16*B^2*b^2*d^18*f^3 + 16*C^2*b^2*d^18*f^3 - 320*A^2*b^2*c^4*d^1
4*f^3 - 1024*A^2*b^2*c^6*d^12*f^3 - 1440*A^2*b^2*c^8*d^10*f^3 - 1024*A^2*b^2*c^10*d^8*f^3 - 320*A^2*b^2*c^12*d
^6*f^3 + 16*A^2*b^2*c^16*d^2*f^3 + 320*B^2*b^2*c^4*d^14*f^3 + 1024*B^2*b^2*c^6*d^12*f^3 + 1440*B^2*b^2*c^8*d^1
0*f^3 + 1024*B^2*b^2*c^10*d^8*f^3 + 320*B^2*b^2*c^12*d^6*f^3 - 16*B^2*b^2*c^16*d^2*f^3 - 320*C^2*b^2*c^4*d^14*
f^3 - 1024*C^2*b^2*c^6*d^12*f^3 - 1440*C^2*b^2*c^8*d^10*f^3 - 1024*C^2*b^2*c^10*d^8*f^3 - 320*C^2*b^2*c^12*d^6
*f^3 + 16*C^2*b^2*c^16*d^2*f^3 - 32*A*C*b^2*d^18*f^3 - 128*A*B*b^2*c*d^17*f^3 + 128*B*C*b^2*c*d^17*f^3 - 640*A
*B*b^2*c^3*d^15*f^3 - 1152*A*B*b^2*c^5*d^13*f^3 - 640*A*B*b^2*c^7*d^11*f^3 + 640*A*B*b^2*c^9*d^9*f^3 + 1152*A*
B*b^2*c^11*d^7*f^3 + 640*A*B*b^2*c^13*d^5*f^3 + 128*A*B*b^2*c^15*d^3*f^3 + 640*A*C*b^2*c^4*d^14*f^3 + 2048*A*C
*b^2*c^6*d^12*f^3 + 2880*A*C*b^2*c^8*d^10*f^3 + 2048*A*C*b^2*c^10*d^8*f^3 + 640*A*C*b^2*c^12*d^6*f^3 - 32*A*C*
b^2*c^16*d^2*f^3 + 640*B*C*b^2*c^3*d^15*f^3 + 1152*B*C*b^2*c^5*d^13*f^3 + 640*B*C*b^2*c^7*d^11*f^3 - 640*B*C*b
^2*c^9*d^9*f^3 - 1152*B*C*b^2*c^11*d^7*f^3 - 640*B*C*b^2*c^13*d^5*f^3 - 128*B*C*b^2*c^15*d^3*f^3) + (-(((8*A^2
*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^
2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B
^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 -
160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4
+ 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3
*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2
+ 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^2*b^2*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^
2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 + 8*B*C*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^
2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2 + 40*A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2
*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*
d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(128*A*b*c^15*d^6*f^4 - 32*B*b*d^21*f^4 - 736*A*b*c^3*d^18*f
^4 - 2432*A*b*c^5*d^16*f^4 - 4480*A*b*c^7*d^14*f^4 - 4928*A*b*c^9*d^12*f^4 - 3136*A*b*c^11*d^10*f^4 - 896*A*b*
c^13*d^8*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*
A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^
2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d
*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B
*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80
*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2
*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^2*b^2*c^3*
d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 + 8*B*C*b^2*
d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2 + 40*A*C*b
^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c^2*d^3*f^2
)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^
22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 +
13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) + 160*A*b*c
^17*d^4*f^4 + 32*A*b*c^19*d^2*f^4 - 160*B*b*c^2*d^19*f^4 - 128*B*b*c^4*d^17*f^4 + 896*B*b*c^6*d^15*f^4 + 3136*
B*b*c^8*d^13*f^4 + 4928*B*b*c^10*d^11*f^4 + 4480*B*b*c^12*d^9*f^4 + 2432*B*b*c^14*d^7*f^4 + 736*B*b*c^16*d^5*f
^4 + 96*B*b*c^18*d^3*f^4 + 736*C*b*c^3*d^18*f^4 + 2432*C*b*c^5*d^16*f^4 + 4480*C*b*c^7*d^14*f^4 + 4928*C*b*c^9
*d^12*f^4 + 3136*C*b*c^11*d^10*f^4 + 896*C*b*c^13*d^8*f^4 - 128*C*b*c^15*d^6*f^4 - 160*C*b*c^17*d^4*f^4 - 32*C
*b*c^19*d^2*f^4 - 96*A*b*c*d^20*f^4 + 96*C*b*c*d^20*f^4))*(-(((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b
^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2 - 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 1
6*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2 - 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 +
80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3
*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*
c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 - 4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2
*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 +
40*A^2*b^2*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*
f^2 + 8*B*C*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*
d*f^2 + 40*A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C
*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))
)^(1/2) - 16*A^3*b^3*d^16*f^2 + 16*C^3*b^3*d^16*f^2 - 80*A^3*b^3*c^2*d^14*f^2 - 144*A^3*b^3*c^4*d^12*f^2 - 80*
A^3*b^3*c^6*d^10*f^2 + 80*A^3*b^3*c^8*d^8*f^2 + 144*A^3*b^3*c^10*d^6*f^2 + 80*A^3*b^3*c^12*d^4*f^2 + 16*A^3*b^
3*c^14*d^2*f^2 + 192*B^3*b^3*c^3*d^13*f^2 + 480*B^3*b^3*c^5*d^11*f^2 + 640*B^3*b^3*c^7*d^9*f^2 + 480*B^3*b^3*c
^9*d^7*f^2 + 192*B^3*b^3*c^11*d^5*f^2 + 32*B^3*b^3*c^13*d^3*f^2 + 80*C^3*b^3*c^2*d^14*f^2 + 144*C^3*b^3*c^4*d^
12*f^2 + 80*C^3*b^3*c^6*d^10*f^2 - 80*C^3*b^3*c^8*d^8*f^2 - 144*C^3*b^3*c^10*d^6*f^2 - 80*C^3*b^3*c^12*d^4*f^2
- 16*C^3*b^3*c^14*d^2*f^2 - 16*A*B^2*b^3*d^16*f^2 - 48*A*C^2*b^3*d^16*f^2 + 48*A^2*C*b^3*d^16*f^2 + 16*B^2*C*
b^3*d^16*f^2 + 32*B^3*b^3*c*d^15*f^2 - 80*A*B^2*b^3*c^2*d^14*f^2 - 144*A*B^2*b^3*c^4*d^12*f^2 - 80*A*B^2*b^3*c
^6*d^10*f^2 + 80*A*B^2*b^3*c^8*d^8*f^2 + 144*A*B^2*b^3*c^10*d^6*f^2 + 80*A*B^2*b^3*c^12*d^4*f^2 + 16*A*B^2*b^3
*c^14*d^2*f^2 + 192*A^2*B*b^3*c^3*d^13*f^2 + 480*A^2*B*b^3*c^5*d^11*f^2 + 640*A^2*B*b^3*c^7*d^9*f^2 + 480*A^2*
B*b^3*c^9*d^7*f^2 + 192*A^2*B*b^3*c^11*d^5*f^2 + 32*A^2*B*b^3*c^13*d^3*f^2 - 240*A*C^2*b^3*c^2*d^14*f^2 - 432*
A*C^2*b^3*c^4*d^12*f^2 - 240*A*C^2*b^3*c^6*d^10*f^2 + 240*A*C^2*b^3*c^8*d^8*f^2 + 432*A*C^2*b^3*c^10*d^6*f^2 +
240*A*C^2*b^3*c^12*d^4*f^2 + 48*A*C^2*b^3*c^14*d^2*f^2 + 240*A^2*C*b^3*c^2*d^14*f^2 + 432*A^2*C*b^3*c^4*d^12*
f^2 + 240*A^2*C*b^3*c^6*d^10*f^2 - 240*A^2*C*b^3*c^8*d^8*f^2 - 432*A^2*C*b^3*c^10*d^6*f^2 - 240*A^2*C*b^3*c^12
*d^4*f^2 - 48*A^2*C*b^3*c^14*d^2*f^2 + 192*B*C^2*b^3*c^3*d^13*f^2 + 480*B*C^2*b^3*c^5*d^11*f^2 + 640*B*C^2*b^3
*c^7*d^9*f^2 + 480*B*C^2*b^3*c^9*d^7*f^2 + 192*B*C^2*b^3*c^11*d^5*f^2 + 32*B*C^2*b^3*c^13*d^3*f^2 + 80*B^2*C*b
^3*c^2*d^14*f^2 + 144*B^2*C*b^3*c^4*d^12*f^2 + 80*B^2*C*b^3*c^6*d^10*f^2 - 80*B^2*C*b^3*c^8*d^8*f^2 - 144*B^2*
C*b^3*c^10*d^6*f^2 - 80*B^2*C*b^3*c^12*d^4*f^2 - 16*B^2*C*b^3*c^14*d^2*f^2 + 32*A^2*B*b^3*c*d^15*f^2 + 32*B*C^
2*b^3*c*d^15*f^2 - 384*A*B*C*b^3*c^3*d^13*f^2 - 960*A*B*C*b^3*c^5*d^11*f^2 - 1280*A*B*C*b^3*c^7*d^9*f^2 - 960*
A*B*C*b^3*c^9*d^7*f^2 - 384*A*B*C*b^3*c^11*d^5*f^2 - 64*A*B*C*b^3*c^13*d^3*f^2 - 64*A*B*C*b^3*c*d^15*f^2))*(-(
((8*A^2*b^2*c^5*f^2 - 8*B^2*b^2*c^5*f^2 + 8*C^2*b^2*c^5*f^2 - 80*A^2*b^2*c^3*d^2*f^2 + 80*B^2*b^2*c^3*d^2*f^2
- 80*C^2*b^2*c^3*d^2*f^2 + 16*A*B*b^2*d^5*f^2 - 16*A*C*b^2*c^5*f^2 - 16*B*C*b^2*d^5*f^2 + 40*A^2*b^2*c*d^4*f^2
- 40*B^2*b^2*c*d^4*f^2 + 40*C^2*b^2*c*d^4*f^2 + 80*A*B*b^2*c^4*d*f^2 - 80*A*C*b^2*c*d^4*f^2 - 80*B*C*b^2*c^4*
d*f^2 - 160*A*B*b^2*c^2*d^3*f^2 + 160*A*C*b^2*c^3*d^2*f^2 + 160*B*C*b^2*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d
^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(A^4*b^4 + B^4*b^4 + C^4*b^4 -
4*A*C^3*b^4 - 4*A^3*C*b^4 + 2*A^2*B^2*b^4 + 6*A^2*C^2*b^4 + 2*B^2*C^2*b^4 - 4*A*B^2*C*b^4))^(1/2) - 4*A^2*b^2*
c^5*f^2 + 4*B^2*b^2*c^5*f^2 - 4*C^2*b^2*c^5*f^2 + 40*A^2*b^2*c^3*d^2*f^2 - 40*B^2*b^2*c^3*d^2*f^2 + 40*C^2*b^2
*c^3*d^2*f^2 - 8*A*B*b^2*d^5*f^2 + 8*A*C*b^2*c^5*f^2 + 8*B*C*b^2*d^5*f^2 - 20*A^2*b^2*c*d^4*f^2 + 20*B^2*b^2*c
*d^4*f^2 - 20*C^2*b^2*c*d^4*f^2 - 40*A*B*b^2*c^4*d*f^2 + 40*A*C*b^2*c*d^4*f^2 + 40*B*C*b^2*c^4*d*f^2 + 80*A*B*
b^2*c^2*d^3*f^2 - 80*A*C*b^2*c^3*d^2*f^2 - 80*B*C*b^2*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 +
10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*2i

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sympy [F]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\left (a + b \tan {\left (e + f x \right )}\right ) \left (A + B \tan {\left (e + f x \right )} + C \tan ^{2}{\left (e + f x \right )}\right )}{\left (c + d \tan {\left (e + f x \right )}\right )^{\frac {5}{2}}}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((a+b*tan(f*x+e))*(A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(c+d*tan(f*x+e))**(5/2),x)

[Out]

Integral((a + b*tan(e + f*x))*(A + B*tan(e + f*x) + C*tan(e + f*x)**2)/(c + d*tan(e + f*x))**(5/2), x)

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