3.1257 \(\int \frac {1}{(a+b \tan (e+f x)) (c+d \tan (e+f x))^{3/2}} \, dx\)

Optimal. Leaf size=211 \[ -\frac {2 b^{5/2} \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{f \left (a^2+b^2\right ) (b c-a d)^{3/2}}+\frac {2 d^2}{f \left (c^2+d^2\right ) (b c-a d) \sqrt {c+d \tan (e+f x)}}+\frac {\tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (b+i a) (c-i d)^{3/2}}-\frac {\tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (-b+i a) (c+i d)^{3/2}} \]

[Out]

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

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Rubi [A]  time = 0.94, antiderivative size = 211, normalized size of antiderivative = 1.00, number of steps used = 12, number of rules used = 7, integrand size = 27, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.259, Rules used = {3569, 3653, 3539, 3537, 63, 208, 3634} \[ -\frac {2 b^{5/2} \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{f \left (a^2+b^2\right ) (b c-a d)^{3/2}}+\frac {2 d^2}{f \left (c^2+d^2\right ) (b c-a d) \sqrt {c+d \tan (e+f x)}}+\frac {\tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (b+i a) (c-i d)^{3/2}}-\frac {\tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (-b+i a) (c+i d)^{3/2}} \]

Antiderivative was successfully verified.

[In]

Int[1/((a + b*Tan[e + f*x])*(c + d*Tan[e + f*x])^(3/2)),x]

[Out]

ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c - I*d]]/((I*a + b)*(c - I*d)^(3/2)*f) - ArcTanh[Sqrt[c + d*Tan[e + f*x
]]/Sqrt[c + I*d]]/((I*a - b)*(c + I*d)^(3/2)*f) - (2*b^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*Tan[e + f*x]])/Sqrt[b
*c - a*d]])/((a^2 + b^2)*(b*c - a*d)^(3/2)*f) + (2*d^2)/((b*c - a*d)*(c^2 + d^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 3569

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

Rule 3634

Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_.)*((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)])^(n_.)*((A_) + (C_.)*
tan[(e_.) + (f_.)*(x_)]^2), x_Symbol] :> Dist[A/f, Subst[Int[(a + b*x)^m*(c + d*x)^n, x], x, Tan[e + f*x]], x]
/; FreeQ[{a, b, c, d, e, f, A, C, m, n}, x] && EqQ[A, C]

Rule 3653

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

Rubi steps

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

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Mathematica [A]  time = 2.08, size = 247, normalized size = 1.17 \[ \frac {-\frac {i \left (\frac {(a+i b) (c+i d) (a d-b c) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{\sqrt {c-i d}}+\frac {(a-i b) (c-i d) (b c-a d) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{\sqrt {c+i d}}\right )}{a^2+b^2}+\frac {2 b^{5/2} \left (c^2+d^2\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{\left (a^2+b^2\right ) \sqrt {b c-a d}}-\frac {2 d^2}{\sqrt {c+d \tan (e+f x)}}}{f \left (c^2+d^2\right ) (a d-b c)} \]

Antiderivative was successfully verified.

[In]

Integrate[1/((a + b*Tan[e + f*x])*(c + d*Tan[e + f*x])^(3/2)),x]

[Out]

(((-I)*(((a + I*b)*(c + I*d)*(-(b*c) + a*d)*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c - I*d]])/Sqrt[c - I*d] + (
(a - I*b)*(c - I*d)*(b*c - a*d)*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c + I*d]])/Sqrt[c + I*d]))/(a^2 + b^2) +
(2*b^(5/2)*(c^2 + d^2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*Tan[e + f*x]])/Sqrt[b*c - a*d]])/((a^2 + b^2)*Sqrt[b*c - a
*d]) - (2*d^2)/Sqrt[c + d*Tan[e + f*x]])/((-(b*c) + a*d)*(c^2 + d^2)*f)

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

[Out]

Timed out

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maple [B]  time = 0.43, size = 8702, normalized size = 41.24 \[ \text {output too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

result too large to display

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for
more details)Is a*d-b*c positive or negative?

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mupad [B]  time = 20.91, size = 115510, normalized size = 547.44 \[ \text {result too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

(log(((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2
*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^
5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3
*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)
/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^
4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*
f^4))^(1/2)*(((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4
*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*
b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b
*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^
2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^
4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*
c^4*d^2*f^4))^(1/2)*(((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4
- 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4
+ 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 +
40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 +
6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^
4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*
a^2*b^2*c^4*d^2*f^4))^(1/2)*(((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2
*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4
*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^
3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^
3*f^2 + 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^
2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*
f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 -
512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*
c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18
*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29
*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 249062
4*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*
c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^
9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*
c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f
^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446
784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^
28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140
224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*
b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*
d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^
5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^2
7*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 +
21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^
5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9
- 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6
*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^
17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9
- 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*
d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932
352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b
^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15
*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b
^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^
9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 1084723
2*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c
^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 875
52*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^
27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15
735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*
c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 307
5072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b
^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*
d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 194
56*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8
*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^
9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416
*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^
32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 158
37696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12
*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^
9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^1
3*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*
d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 599
04*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*
d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 +
463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c
^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 3870
72*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^1
6*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^
16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9
+ 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^1
9*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^
17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9
+ 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^
9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*
f^9 + 256*a^16*b^2*c*d^36*f^9))/2 + 512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384
*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c
^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*
c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + 14336*a^2*b^15*c^
6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3
443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*
b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*
f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^1
4*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21
*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 7055
36*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^
32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387
712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*
b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^
12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b
^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25
*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 1
0787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b
^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 +
1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6
*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^
18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8
+ 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10
*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*
f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 234
7520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2
*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 863001
6*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c
^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 +
49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d
^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 59064
32*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21
*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^1
0*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*
f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a
^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*
f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*
a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*
d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a
^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*
d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13
440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*
d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 2416
64*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^3
4*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14
*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f
^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^
7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a
^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 19
4048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^
19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^1
6*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^
6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/2 + (c + d*tan(e + f*x))^(1/2)*(448*a^10*b
^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 14
72*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^
16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^
26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752
*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18
*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a
^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7
+ 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*
a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*
d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4
*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d
^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 14
2080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31
*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a
^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^1
7*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 6
40*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^2
8*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496
960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10
*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 1620
48*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^
23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a
^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 +
13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^
24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a
^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7
- 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^2
3*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^
9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 -
47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^
12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 1
3440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*
d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176
*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*
f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*
c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2
880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*
f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c
^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^
2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a
*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552
*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 -
14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 51
2*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7)))/2 + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b
^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f
^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6
+ 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 340
16*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^1
5*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 28
80*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^
6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b
^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*
f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c
^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096
480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*
c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 2060
8*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^2
3*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 3192
00*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^3
0*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9
*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 +
98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29
*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^
8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 -
14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^2
6*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8
*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 -
22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d
^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^
9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6
+ 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^
5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 380
80*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^
21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b
^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 24
64*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6
- 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^
21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^
23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14
*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9
*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6))/2 + (c + d*tan(e +
f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^
14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19
*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^2
4*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b
^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5
- 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10
*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 3225
6*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f
^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^1
0*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 -
1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^
5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9
*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*
a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^
5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25
*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c
^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*
b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*
a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120
*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448
*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080
*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 +
736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5))*(((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4
- 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2
*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*
d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2
+ 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^
4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^
4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2))/2 + (log(((-((2*a^2*b^2*d^6
*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f
^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d
*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*
f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^
6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*
f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(((-((2*a^
2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*
c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*
b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) +
a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4
+ a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4
*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(
((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4
+ 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^
4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4
)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(a^
4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^
4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4)
)^(1/2)*(((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^
4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3
*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^
3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d
*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c
^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4
*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*
f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 706
56*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82
944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^
2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^2
4*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 299
6736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*
c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098
176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b
^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d
^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*
a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d
^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9
- 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a
^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9
+ 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^
5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c
^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^
9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*
c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9
- 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644
480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c
^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a
^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d
^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 +
2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b
^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 -
478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10
*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^2
0*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 1543
68*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33
*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a
^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18
*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 307
20*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d
^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 +
29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*
a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^3
5*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 1535385
6*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b
^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15
*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^
12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13
*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9
+ 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5
*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9
- 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*
a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^3
4*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*
a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^1
7*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472
*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^
27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*
a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9
+ 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c
^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a
*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 +
1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^2
2*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^
10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*
c*d^36*f^9))/2 + 512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8
+ 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 1111
04*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 204
80*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + 14336*a^2*b^15*c^6*d^30*f^8 + 149632
*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^1
4*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8
+ 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*
c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 41
91232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*
b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^
13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4
*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d
^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8
+ 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*
b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 -
1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5
*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^
19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 -
3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^
6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8
+ 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 62522
88*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^
26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 848
2560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*
b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*
d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*
a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26
*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572
672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*
d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a
^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^2
1*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a
^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8
- 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b
^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f
^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b
^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*
f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^1
1*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^
8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*
a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d
^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a
^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^
21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*
b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8
- 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*
c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*
a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f
^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^
25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b
^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3
584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328
*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/2 + (c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a
^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f
^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 +
15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a
^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22
*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*
a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^
7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13
*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*
f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3
*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7
- 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a
^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*
d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b
^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f
^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 127590
4*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^
9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6
*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d
^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 29
44*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29
*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^
7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^
7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d
^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8
*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^
7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5
*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*
b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7
- 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*
d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 25894
4*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*
d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^
11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19
*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^
4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 421
12*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d
^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3
*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*
a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 8
96*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7
- 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f
^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d
^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f
^7 + 640*a^13*b^3*c*d^33*f^7)))/2 + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6 - 128*b
^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*b^15*c^1
5*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c^23*d^10
*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13*c^9*d^2
4*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6 + 338688
*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13*c^23*d^
10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a^3*b^12*
c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^19*f^6 -
723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016*a^3*b^1
2*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6 - 7360*
a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^11*c^13*d
^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f^6 + 363
20*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*c^4*d^29
*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 1042272*a^5
*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10*c^18*d^
15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 31808*a^6*b
^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*f^6 + 11
12832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*b^9*c^19
*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 49280*a^7*b^
8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21*f^6 - 7
91936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*b^8*c^20
*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495264*a^8*
b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d^18*f^6
+ 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b^6*c^4*d
^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 406560*a^
9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*d^15*f^6
+ 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^10*b^5*c
^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18*f^6 + 5
280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4*c^6*d^2
7*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12352*a^11
*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28*f^6 + 1
2320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3*c^13*d^
20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^13*b^2*c^
6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32*a^13*b^
2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70560*a*b^
14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*f^6 - 32
480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6 - 512*a
^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6))/2 + (c + d*tan(e + f*x))^(1/2)*(32*a^9
*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 +
224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^1
4*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b
^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 -
43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4
*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a
^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^1
3*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*
c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 1
16032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d
^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*
c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 53
76*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^
5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^
17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^
7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216
*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 -
10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f
^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f
^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^
5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f
^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9
*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5))*(-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f
^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*
c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b
*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2
+ 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 +
2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*
d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2))/2 - log((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 -
4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^
4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5
*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3
*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6
*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^
4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*((((2*a^2*b^2*d^6
*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f
^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d
*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*
f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^
4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^
4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1
/2)*((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*
f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5
*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*
f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/
(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^
4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2
*b^2*c^4*d^2*f^4))^(1/2)*(512*a^8*b^9*d^36*f^8 - (((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*
d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f
^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^
4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c
*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8
*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c
^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d
^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376
*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280
*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b
^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 89753
6*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*
c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f
^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^1
5*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^
9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934
976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*
c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 320
4352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b
^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*
d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256
*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^2
9*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 2
8578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a
^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*
f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6
*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^1
5*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^
9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c
^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 427
4688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b
^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^1
7*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^
7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f
^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104
*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*
c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 +
21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d
^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23
772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^
9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 5
15328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^
8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d
^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 5
3760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^
6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9
- 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 342476
8*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*
d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 1380
5568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12
*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14
*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^
13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*
d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 3
0720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7
*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 +
1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^
4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 27
9552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c
^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 230
4*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f
^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2
*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a
*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^
9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^
26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c
*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9) + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^
8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000
*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 5785
6*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + 14336*a^2*
b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*
f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 21002
24*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^2
6*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*
a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^
15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8
- 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13
*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8
+ 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 122339
84*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*
c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 34764
8*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^
11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*
f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 10726
4*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32
*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202
368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*
b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^
12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a
^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^1
3*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^
8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*
b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 +
8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^
8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14
*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^
8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8
- 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b
^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87
808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^1
2*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 1
21856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^
5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1
734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^
6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 4
55168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^
5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f
^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b
^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8
+ 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*
c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 1738
24*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16
*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15
*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 +
2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f
^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*
c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 3814
4*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*
a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8) - (c + d*tan(e + f*x))^(1/2)*(448*a^
10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7
+ 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 1433
6*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^1
6*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 41
0752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*
c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 3
84*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25
*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257
920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c
^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784
*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^
14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7
- 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*
d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 60894
72*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11
*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7
- 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6
*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 -
5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*
b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 +
162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^1
1*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 81
92*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^
7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^1
0*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 1966
72*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*
f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11
*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 10265
6*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^
7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^
6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7
+ 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*
c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 11
4176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d
^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*
b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7
+ 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d
^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b
^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^1
4*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 12
80*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 5
5552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^
7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7
+ 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7)) + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*
b^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*
f^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6
+ 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34
016*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^
15*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2
880*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f
^6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*
b^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13
*f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*
c^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 109
6480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11
*c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 206
08*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^
23*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319
200*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^
30*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^
9*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6
+ 98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^2
9*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b
^8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6
- 14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^
26*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^
8*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 -
22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*
d^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a
^9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6
+ 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b
^5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38
080*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d
^21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*
b^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2
464*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^
6 - 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d
^21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d
^23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^1
4*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^
9*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6) - (c + d*tan(e + f*
x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14
*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d
^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*
f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^1
2*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 -
2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d
^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*
a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5
+ 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*
c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1
344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5
+ 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c
^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^
6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5
- 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f
^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^1
4*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^
6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^
8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a
^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a
*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a
*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 73
6*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5))*(((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 -
4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f
^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^
5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 +
3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^
6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b
^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2) - log((-((2*a^2*
b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^
2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^
3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a
^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4
+ 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4
+ 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f
^4))^(1/2)*((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*
c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b
^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*
c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2
*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4
+ 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4
+ 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^
4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^
2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c
^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a
*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f
^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 2
4*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*(512*a^8*b^9*d^36*f^8 - (-((2*a^2*b^2*d^6*f^4 - b^4*d^6
*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4
*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*
b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*
f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*
b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4
+ 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*(c + d*tan
(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9
- 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129
024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32
256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 19174
4*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^
15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9
- 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^
16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9
+ 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 1251532
8*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c
^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674
304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14
*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^
18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 409
60*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31
*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 2805
3504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5
*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^1
1*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*
b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d
^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9
- 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12
*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320
960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11
*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19
*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a
^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^
9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^
8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^
19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 +
11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d
^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 2514
1248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9
*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 +
19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*
c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22
*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 62
3616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4
*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 -
23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*
a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*
d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 83543
04*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b
^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16
*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^1
3*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^
25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 30
1568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5
*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 19
03104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^
4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 13
5168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^
12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 25
60*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*
f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^
2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*
a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^
9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*
c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b
^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9) + 640*a^10*b^7*
d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 2
3936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 1
05728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384
*b^17*c^28*d^8*f^8 + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^
8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960
*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^2
4*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a
^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*
d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 -
2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^1
4*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 +
6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*
a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c
^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 2867
2*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*
d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8
- 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408
*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34
*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808
*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^1
1*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^1
4*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^
7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d
^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8
- 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*
b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 +
3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*
b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16
*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^
8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 -
6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b
^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 1
2800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10
*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 39
1296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^
3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 196
4032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^
6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 1
15840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*
c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^
8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b
^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8
+ 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4
*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 1487
36*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14
*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^1
5*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8
+ 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^2
9*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*
c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180
224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 -
5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8) - (c
+ d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^
34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 +
9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 37
12*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120
320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c
^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 -
2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27
*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 307148
8*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c
^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216
*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12
*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 -
843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^2
6*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 307110
4*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c
^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7
+ 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4
*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 59
86176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b
^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7
+ 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9
*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 44
1600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11
*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^
8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 1532
16*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^1
2*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c
^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 26585
6*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*
f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6
*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7
+ 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*
c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125
440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19
*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^1
2*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7
+ 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5
*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13
*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*
a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 +
64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 +
30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*
f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33
*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7)) + 128*a^7*b^8*d^33*f^6 -
32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d
^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^1
4*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 -
6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^1
3*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 3
1808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*
f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b
^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*
f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11
*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 6731
20*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*
c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2
688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^2
5*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 7999
04*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*
d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b
^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6
+ 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*
d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b
^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6
- 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d
^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^
8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^
6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*
d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*
a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6
+ 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b
^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 1
2992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d
^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^1
2*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 +
7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31
*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10
*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8
*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b
^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a
*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*
c*d^32*f^6) - (c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 3
52*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c
^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^2
6*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^1
2*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 -
2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d
^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*
a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f
^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c
^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 -
6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^
5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*
c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*
a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5
- 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27
*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c
^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*
b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016
*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 112
0*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 3
2*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224
*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 +
4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5))*(-((2
*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b
^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12
*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2
) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(4*a^4*c^
6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4
*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*
d^2*f^4))^(1/2) - (atan((((-b^5*(a*d - b*c)^3)^(1/2)*((c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7
*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5
- 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b
^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 537
6*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d
^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*
b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5
+ 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*
c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a
^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^
16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9
*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936
*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f
^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^1
1*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*
b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216
*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5
- 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22
*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d
^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*
d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^
23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16
*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d
^30*f^5 - 288*a^8*b^6*c*d^30*f^5) + ((-b^5*(a*d - b*c)^3)^(1/2)*((((c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^
34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^
16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^
18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^
8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*
b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16
*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^
14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 14
88384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b
^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*
f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12
*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f
^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*
a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7
+ 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^
11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^1
7*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^
5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7
- 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a
^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20
*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^
7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^
7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^
9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440
*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^
7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^
8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 435
20*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7
- 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7
*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488
*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^
22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*
a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*
f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11
*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 -
19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*
d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a
^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 -
8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d
^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^1
0*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15
*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^
15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336
*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^1
1*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7) + ((-b^5*(a*d - b*c)^3)^(1/2)*(512*a^8*b^9*d^36*f^8 + 640*a^10*b^7
*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 +
23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 +
105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 38
4*b^17*c^28*d^8*f^8 + ((-b^5*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*
b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9
- 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9
- 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 -
768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^2
6*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 496
7424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^1
6*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 44
6976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^
15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d
^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 107
52*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d
^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 -
22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*
a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*
f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5
*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^
16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f
^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^1
2*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9
- 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 197514
24*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12
*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432
*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d
^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 +
7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*
b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9
- 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^
10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22
*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924
672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*
d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a
^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16
*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 3
84000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*
d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 2
9213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*
a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*
d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 685056
0*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^
7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^1
7*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a
^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*
d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9
+ 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b
^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9
- 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*
a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*
d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056
*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^
15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7
168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d
^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 9676
8*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34
*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2
*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 25
6*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9
+ 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*
c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*
a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^
14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4
*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2
*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^
22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 81
3568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28
*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 419123
2*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14
*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f
^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^1
3*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*
f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 59
90656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13
*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933
312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^1
2*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d
^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 358
4*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^
30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 2
7345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a
^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d
^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560
*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10
*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15
*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*
b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8
+ 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*
a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12
*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b
^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^
8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b
^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 19
1744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c
^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 +
16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c
^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8
+ 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^
6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 -
1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12
*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*
f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*
b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f
^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*
c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 13
2608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18
*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15
*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 +
256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f
^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*
c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*
a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^1
3*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*
c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*(-b^5*(a*d - b*c)^3)^(1/2))/(a^5*d^3*f - b
^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c
^2*d*f) + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^1
5*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^
17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^
6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^
11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 +
142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*
d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*
b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17
*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*
b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 20
1120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11
*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6
+ 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*
d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178
912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^
20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^
6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^
6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*
c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^
7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^
6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c
^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*
a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16
*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c
^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 2340
80*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*
f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*
b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6
- 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8
*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*
a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6
+ 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15
*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2
*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^
14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*
a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 -
4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^
10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4
*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*1i)/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*
f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + ((-b^5*(a*d -
b*c)^3)^(1/2)*((c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 +
352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14
*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d
^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b
^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5
- 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8
*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 8780
8*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28
*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10
*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5
- 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*
f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^
9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 5017
6*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f
^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^
27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7
*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^
8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 20
16*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1
120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 +
32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 2
24*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5
+ 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5) + ((
-b^5*(a*d - b*c)^3)^(1/2)*((((c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^
12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22
*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7
+ 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 1
0048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c
^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 -
29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^
29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168
*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c
^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 896
0*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*
d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 -
2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12
*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 96691
2*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^
13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7
+ 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^
2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 426
9696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^
10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^
7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^
7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 15
17568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d
^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*
c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182
400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d
^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^
7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 3443
20*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^
13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b
^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7
+ 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^
5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25
088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^
17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a
^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^
7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*
c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^
13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 -
896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^
7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f
^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d
^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^
25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33
*f^7) - ((-b^5*(a*d - b*c)^3)^(1/2)*(512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 38
4*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*
c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17
*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 - ((-b^5*(a*d - b*
c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 -
512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^
18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b
^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^1
6*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9
- 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*
a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*
d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a
^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c
^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f
^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b
^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f
^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 150
95808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^
14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 68
8128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^1
3*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d
^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 8
9088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d
^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24
254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a
^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d
^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^
11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f
^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838
528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c
^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 47846
4*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11
*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9
+ 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^
8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9
- 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^
9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19
*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^
9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f
^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196
288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*
b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9
- 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^1
1*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^
16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9
- 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^
6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24
*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552
192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*
d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 70
74816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*
b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9
+ 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*
b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^2
0*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15
*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^
9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*
b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21
504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d
^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17
*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 11397
12*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^1
5*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*
d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^3
6*f^9))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3
*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c
^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^
8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a
^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8
- 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3
*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19
*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7
168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*
d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8
+ 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152
*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8
*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^
5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^
15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f
^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^
11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8
+ 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000
256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^
11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8
- 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*
b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^1
7*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 -
34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6
*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15
006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^
9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 28
2112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11
*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 15
79520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d
^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^
10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^
20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*
a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^2
7*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380
672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d
^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 160025
6*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c
^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 15
4624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^1
1*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 76
80*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30
*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^
14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8
+ 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^1
1*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b
^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917
504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^1
5*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*
d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35
*f^8))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*
c*d^2*f + 3*a^3*b^2*c^2*d*f))*(-b^5*(a*d - b*c)^3)^(1/2))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3
*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) - 128*a^7*b^8*d^33*f^6 + 32*a^
11*b^4*d^33*f^6 + 32*a^13*b^2*d^33*f^6 + 128*b^15*c^7*d^26*f^6 + 128*b^15*c^9*d^24*f^6 - 2592*b^15*c^11*d^22*f
^6 - 10976*b^15*c^13*d^20*f^6 - 20384*b^15*c^15*d^18*f^6 - 20832*b^15*c^17*d^16*f^6 - 11872*b^15*c^19*d^14*f^6
- 3232*b^15*c^21*d^12*f^6 - 96*b^15*c^23*d^10*f^6 + 96*b^15*c^25*d^8*f^6 + 2688*a^2*b^13*c^5*d^28*f^6 + 6272*
a^2*b^13*c^7*d^26*f^6 - 34016*a^2*b^13*c^9*d^24*f^6 - 187968*a^2*b^13*c^11*d^22*f^6 - 400960*a^2*b^13*c^13*d^2
0*f^6 - 476224*a^2*b^13*c^15*d^18*f^6 - 338688*a^2*b^13*c^17*d^16*f^6 - 142016*a^2*b^13*c^19*d^14*f^6 - 31808*
a^2*b^13*c^21*d^12*f^6 - 2880*a^2*b^13*c^23*d^10*f^6 - 32*a^2*b^13*c^25*d^8*f^6 - 4480*a^3*b^12*c^4*d^29*f^6 -
15232*a^3*b^12*c^6*d^27*f^6 + 30368*a^3*b^12*c^8*d^25*f^6 + 263104*a^3*b^12*c^10*d^23*f^6 + 652736*a^3*b^12*c
^12*d^21*f^6 + 882112*a^3*b^12*c^14*d^19*f^6 + 723968*a^3*b^12*c^16*d^17*f^6 + 363328*a^3*b^12*c^18*d^15*f^6 +
104384*a^3*b^12*c^20*d^13*f^6 + 14016*a^3*b^12*c^22*d^11*f^6 + 352*a^3*b^12*c^24*d^9*f^6 + 4480*a^4*b^11*c^3*
d^30*f^6 + 22400*a^4*b^11*c^5*d^28*f^6 + 7360*a^4*b^11*c^7*d^26*f^6 - 201120*a^4*b^11*c^9*d^24*f^6 - 673120*a^
4*b^11*c^11*d^22*f^6 - 1096480*a^4*b^11*c^13*d^20*f^6 - 1058400*a^4*b^11*c^15*d^18*f^6 - 623840*a^4*b^11*c^17*
d^16*f^6 - 213920*a^4*b^11*c^19*d^14*f^6 - 36320*a^4*b^11*c^21*d^12*f^6 - 1760*a^4*b^11*c^23*d^10*f^6 - 2688*a
^5*b^10*c^2*d^31*f^6 - 20608*a^5*b^10*c^4*d^29*f^6 - 38976*a^5*b^10*c^6*d^27*f^6 + 83680*a^5*b^10*c^8*d^25*f^6
+ 510496*a^5*b^10*c^10*d^23*f^6 + 1042272*a^5*b^10*c^12*d^21*f^6 + 1178912*a^5*b^10*c^14*d^19*f^6 + 799904*a^
5*b^10*c^16*d^17*f^6 + 319200*a^5*b^10*c^18*d^15*f^6 + 66976*a^5*b^10*c^20*d^13*f^6 + 5280*a^5*b^10*c^22*d^11*
f^6 + 11648*a^6*b^9*c^3*d^30*f^6 + 31808*a^6*b^9*c^5*d^28*f^6 - 38784*a^6*b^9*c^7*d^26*f^6 - 371840*a^6*b^9*c^
9*d^24*f^6 - 877184*a^6*b^9*c^11*d^22*f^6 - 1112832*a^6*b^9*c^13*d^20*f^6 - 848512*a^6*b^9*c^15*d^18*f^6 - 388
864*a^6*b^9*c^17*d^16*f^6 - 98560*a^6*b^9*c^19*d^14*f^6 - 10560*a^6*b^9*c^21*d^12*f^6 - 3712*a^7*b^8*c^2*d^31*
f^6 - 8384*a^7*b^8*c^4*d^29*f^6 + 49280*a^7*b^8*c^6*d^27*f^6 + 294784*a^7*b^8*c^8*d^25*f^6 + 699776*a^7*b^8*c^
10*d^23*f^6 + 947968*a^7*b^8*c^12*d^21*f^6 + 791936*a^7*b^8*c^14*d^19*f^6 + 405760*a^7*b^8*c^16*d^17*f^6 + 117
504*a^7*b^8*c^18*d^15*f^6 + 14784*a^7*b^8*c^20*d^13*f^6 - 2208*a^8*b^7*c^3*d^30*f^6 - 44576*a^8*b^7*c^5*d^28*f
^6 - 207200*a^8*b^7*c^7*d^26*f^6 - 495264*a^8*b^7*c^9*d^24*f^6 - 709408*a^8*b^7*c^11*d^22*f^6 - 635488*a^8*b^7
*c^13*d^20*f^6 - 350496*a^8*b^7*c^15*d^18*f^6 - 109280*a^8*b^7*c^17*d^16*f^6 - 14784*a^8*b^7*c^19*d^14*f^6 + 1
760*a^9*b^6*c^2*d^31*f^6 + 22880*a^9*b^6*c^4*d^29*f^6 + 110880*a^9*b^6*c^6*d^27*f^6 + 283360*a^9*b^6*c^8*d^25*
f^6 + 431200*a^9*b^6*c^10*d^23*f^6 + 406560*a^9*b^6*c^12*d^21*f^6 + 234080*a^9*b^6*c^14*d^19*f^6 + 75680*a^9*b
^6*c^16*d^17*f^6 + 10560*a^9*b^6*c^18*d^15*f^6 - 7744*a^10*b^5*c^3*d^30*f^6 - 44352*a^10*b^5*c^5*d^28*f^6 - 12
3200*a^10*b^5*c^7*d^26*f^6 - 197120*a^10*b^5*c^9*d^24*f^6 - 192192*a^10*b^5*c^11*d^22*f^6 - 113344*a^10*b^5*c^
13*d^20*f^6 - 37312*a^10*b^5*c^15*d^18*f^6 - 5280*a^10*b^5*c^17*d^16*f^6 + 1984*a^11*b^4*c^2*d^31*f^6 + 12992*
a^11*b^4*c^4*d^29*f^6 + 38080*a^11*b^4*c^6*d^27*f^6 + 62720*a^11*b^4*c^8*d^25*f^6 + 62272*a^11*b^4*c^10*d^23*f
^6 + 37184*a^11*b^4*c^12*d^21*f^6 + 12352*a^11*b^4*c^14*d^19*f^6 + 1760*a^11*b^4*c^16*d^17*f^6 - 2464*a^12*b^3
*c^3*d^30*f^6 - 7392*a^12*b^3*c^5*d^28*f^6 - 12320*a^12*b^3*c^7*d^26*f^6 - 12320*a^12*b^3*c^9*d^24*f^6 - 7392*
a^12*b^3*c^11*d^22*f^6 - 2464*a^12*b^3*c^13*d^20*f^6 - 352*a^12*b^3*c^15*d^18*f^6 + 224*a^13*b^2*c^2*d^31*f^6
+ 672*a^13*b^2*c^4*d^29*f^6 + 1120*a^13*b^2*c^6*d^27*f^6 + 1120*a^13*b^2*c^8*d^25*f^6 + 672*a^13*b^2*c^10*d^23
*f^6 + 224*a^13*b^2*c^12*d^21*f^6 + 32*a^13*b^2*c^14*d^19*f^6 - 896*a*b^14*c^6*d^27*f^6 - 1408*a*b^14*c^8*d^25
*f^6 + 15200*a*b^14*c^10*d^23*f^6 + 70560*a*b^14*c^12*d^21*f^6 + 138208*a*b^14*c^14*d^19*f^6 + 150304*a*b^14*c
^16*d^17*f^6 + 94752*a*b^14*c^18*d^15*f^6 + 32480*a*b^14*c^20*d^13*f^6 + 4640*a*b^14*c^22*d^11*f^6 - 32*a*b^14
*c^24*d^9*f^6 + 896*a^6*b^9*c*d^32*f^6 + 512*a^8*b^7*c*d^32*f^6 - 352*a^10*b^5*c*d^32*f^6 - 352*a^12*b^3*c*d^3
2*f^6))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3
*c*d^2*f + 3*a^3*b^2*c^2*d*f))*1i)/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f -
3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))/(((-b^5*(a*d - b*c)^3)^(1/2)*((c + d*tan(e + f*x))^(
1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11
*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f
^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 +
10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^1
5*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*
a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f
^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b
^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 31
36*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*
d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a
^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141
120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d
^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8
*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 313
6*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 +
40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^1
7*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7
*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6
*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^
5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13
*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13
*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b
^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5) + ((-b^5*(a*d - b*c)^3)^(1/2)*((((c + d*ta
n(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7
+ 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*
b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^1
6*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^
2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^
18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a
^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 +
477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*
b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^
13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b
^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*
f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 84313
6*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*
f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*
b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^
19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 112
64*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*
f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*
a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^
18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 2764
8*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*
f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a
^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 +
2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26
*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8
*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7
- 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^2
5*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*
b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 -
2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*
d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 840
96*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^
29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^
11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*
f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*
c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 174
08*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*
f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c
^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b
^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^
14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464
*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 -
26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 -
2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7) + ((-b^5*(a*d - b*c)^3)^(1/2)*(5
12*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^2
8*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*
f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*
f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + ((-b^5*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)
*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*
d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^
20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^
12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d
^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 56
87808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b
^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9
+ 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^
15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*
d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 1
56672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7
*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 -
23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024
*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27
*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a
^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^
14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*
f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5
*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^
9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 258170
88*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^
12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 +
256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6
*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 +
12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^
7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^1
1*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*
b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24
*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 32
35584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*
c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 250060
8*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^1
4*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 -
2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c
^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 2
0579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*
a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^
23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966
080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^
7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^
19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 11673
6*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*
d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9
+ 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^1
2*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f
^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544
*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^
20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 8663
04*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c
^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9
+ 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^
6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 23
3472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20
*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16
*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9
+ 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27
*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^
17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 +
64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 +
5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9))/(a^5*d^3*f - b^5*c^3*f - a^2*b
^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 14336*
a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d
^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2
100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15
*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470
720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^1
4*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15
*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*
b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*
f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12
233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b
^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 3
47648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^1
2*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d
^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 1
07264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*
d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 2
2202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*
a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^2
4*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 29890
56*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10
*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^1
7*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*
a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f
^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 1191782
4*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*
d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^
9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*
f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a
^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8
- 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7
*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8
+ 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^
6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8
+ 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^1
1*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8
- 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^1
2*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^
18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^
13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23
*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*
b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 -
173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*
c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*
a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f
^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^
27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b
^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 -
38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1
792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/(a^5*d^3*f - b^5*c^3*f - a^2*b^
3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*(-b^5*(a
*d - b*c)^3)^(1/2))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f
- 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6
- 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*
b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c
^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13
*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6
+ 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13
*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a
^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^
19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016
*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6
- 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^1
1*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f
^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*
c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 104
2272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10
*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 318
08*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*
f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*
b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 4928
0*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21
*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*
b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495
264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d
^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b
^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 4
06560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*
d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^
10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18
*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4
*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12
352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28
*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3
*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^1
3*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32
*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70
560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*
f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6
- 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6))/(a^5*d^3*f - b^5*c^3*f - a^2*b
^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f)))/(a^5*d
^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a
^3*b^2*c^2*d*f) - ((-b^5*(a*d - b*c)^3)^(1/2)*((c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^
31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120
*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^2
3*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b
^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5
- 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^
6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 12544
0*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^
11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10
*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5
- 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^
27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^
9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12
544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*
f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2
*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^
7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016
*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 -
6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5
+ 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^
5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5
- 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f
^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5
- 288*a^8*b^6*c*d^30*f^5) + ((-b^5*(a*d - b*c)^3)^(1/2)*((((c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7
- 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10
*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16
*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 +
1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^
12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 -
165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26
*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a
^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^1
7*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2
816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^
26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 51
13472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^1
2*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 17024
0*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11
*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 +
1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*
c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986
624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10
*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f
^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c
^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 256
9728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*
d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^
8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524
160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*
d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*
b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 2024
96*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d
^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b
^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7
+ 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^
6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 8
9600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^
15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*
a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^
7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4
*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a
^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7
- 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*
f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^
27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15
*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15
*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c
*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7) - ((-b^5*(a*d - b*c)^3)^(1/2)*(512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f
^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b
^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*
b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*
c^28*d^8*f^8 - ((-b^5*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^3
7*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 2534
4*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 1397
76*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^
18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 -
2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^
2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*
d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^
3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14
*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9
+ 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*
b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9
- 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 221168
64*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^1
4*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 6
4512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c
^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21
*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 84
0192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d
^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383
488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*
b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d
^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^
11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9
+ 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 773836
8*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^
22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 8217
6*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*
d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 +
10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8
*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^
9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*
c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f
^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a
^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^
9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184
*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^
8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^
9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*
b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*
d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 -
700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6
*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^
9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 25559
04*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*
d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806
080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^
5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^
9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b
^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22
*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^1
5*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9
- 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*
b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 +
9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d
^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*
b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 6266
88*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^
17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*
c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*
c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*
f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c
^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8
+ 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^
2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^
8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b
^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d
^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 11
0848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d
^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 1
7392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a
^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d
^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5
*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*
d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8
- 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b
^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8
+ 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920
*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11
*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8
- 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^
10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d
^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 -
431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4
*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 1344
5376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9
*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 -
53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*
d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 377
5744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23
*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^
10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^2
2*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*
a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29
*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 10178
56*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*
d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864
*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^
14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 3
4304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9
*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64
768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^3
2*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^
14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f
^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^
9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^
15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 52
3264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^
17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*
c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c
*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f
- 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*(-b^5*(a*d - b*c)^3)^(1/2))/(a^5*d^3*f - b^5*c^3*
f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f)
- 128*a^7*b^8*d^33*f^6 + 32*a^11*b^4*d^33*f^6 + 32*a^13*b^2*d^33*f^6 + 128*b^15*c^7*d^26*f^6 + 128*b^15*c^9*d
^24*f^6 - 2592*b^15*c^11*d^22*f^6 - 10976*b^15*c^13*d^20*f^6 - 20384*b^15*c^15*d^18*f^6 - 20832*b^15*c^17*d^16
*f^6 - 11872*b^15*c^19*d^14*f^6 - 3232*b^15*c^21*d^12*f^6 - 96*b^15*c^23*d^10*f^6 + 96*b^15*c^25*d^8*f^6 + 268
8*a^2*b^13*c^5*d^28*f^6 + 6272*a^2*b^13*c^7*d^26*f^6 - 34016*a^2*b^13*c^9*d^24*f^6 - 187968*a^2*b^13*c^11*d^22
*f^6 - 400960*a^2*b^13*c^13*d^20*f^6 - 476224*a^2*b^13*c^15*d^18*f^6 - 338688*a^2*b^13*c^17*d^16*f^6 - 142016*
a^2*b^13*c^19*d^14*f^6 - 31808*a^2*b^13*c^21*d^12*f^6 - 2880*a^2*b^13*c^23*d^10*f^6 - 32*a^2*b^13*c^25*d^8*f^6
- 4480*a^3*b^12*c^4*d^29*f^6 - 15232*a^3*b^12*c^6*d^27*f^6 + 30368*a^3*b^12*c^8*d^25*f^6 + 263104*a^3*b^12*c^
10*d^23*f^6 + 652736*a^3*b^12*c^12*d^21*f^6 + 882112*a^3*b^12*c^14*d^19*f^6 + 723968*a^3*b^12*c^16*d^17*f^6 +
363328*a^3*b^12*c^18*d^15*f^6 + 104384*a^3*b^12*c^20*d^13*f^6 + 14016*a^3*b^12*c^22*d^11*f^6 + 352*a^3*b^12*c^
24*d^9*f^6 + 4480*a^4*b^11*c^3*d^30*f^6 + 22400*a^4*b^11*c^5*d^28*f^6 + 7360*a^4*b^11*c^7*d^26*f^6 - 201120*a^
4*b^11*c^9*d^24*f^6 - 673120*a^4*b^11*c^11*d^22*f^6 - 1096480*a^4*b^11*c^13*d^20*f^6 - 1058400*a^4*b^11*c^15*d
^18*f^6 - 623840*a^4*b^11*c^17*d^16*f^6 - 213920*a^4*b^11*c^19*d^14*f^6 - 36320*a^4*b^11*c^21*d^12*f^6 - 1760*
a^4*b^11*c^23*d^10*f^6 - 2688*a^5*b^10*c^2*d^31*f^6 - 20608*a^5*b^10*c^4*d^29*f^6 - 38976*a^5*b^10*c^6*d^27*f^
6 + 83680*a^5*b^10*c^8*d^25*f^6 + 510496*a^5*b^10*c^10*d^23*f^6 + 1042272*a^5*b^10*c^12*d^21*f^6 + 1178912*a^5
*b^10*c^14*d^19*f^6 + 799904*a^5*b^10*c^16*d^17*f^6 + 319200*a^5*b^10*c^18*d^15*f^6 + 66976*a^5*b^10*c^20*d^13
*f^6 + 5280*a^5*b^10*c^22*d^11*f^6 + 11648*a^6*b^9*c^3*d^30*f^6 + 31808*a^6*b^9*c^5*d^28*f^6 - 38784*a^6*b^9*c
^7*d^26*f^6 - 371840*a^6*b^9*c^9*d^24*f^6 - 877184*a^6*b^9*c^11*d^22*f^6 - 1112832*a^6*b^9*c^13*d^20*f^6 - 848
512*a^6*b^9*c^15*d^18*f^6 - 388864*a^6*b^9*c^17*d^16*f^6 - 98560*a^6*b^9*c^19*d^14*f^6 - 10560*a^6*b^9*c^21*d^
12*f^6 - 3712*a^7*b^8*c^2*d^31*f^6 - 8384*a^7*b^8*c^4*d^29*f^6 + 49280*a^7*b^8*c^6*d^27*f^6 + 294784*a^7*b^8*c
^8*d^25*f^6 + 699776*a^7*b^8*c^10*d^23*f^6 + 947968*a^7*b^8*c^12*d^21*f^6 + 791936*a^7*b^8*c^14*d^19*f^6 + 405
760*a^7*b^8*c^16*d^17*f^6 + 117504*a^7*b^8*c^18*d^15*f^6 + 14784*a^7*b^8*c^20*d^13*f^6 - 2208*a^8*b^7*c^3*d^30
*f^6 - 44576*a^8*b^7*c^5*d^28*f^6 - 207200*a^8*b^7*c^7*d^26*f^6 - 495264*a^8*b^7*c^9*d^24*f^6 - 709408*a^8*b^7
*c^11*d^22*f^6 - 635488*a^8*b^7*c^13*d^20*f^6 - 350496*a^8*b^7*c^15*d^18*f^6 - 109280*a^8*b^7*c^17*d^16*f^6 -
14784*a^8*b^7*c^19*d^14*f^6 + 1760*a^9*b^6*c^2*d^31*f^6 + 22880*a^9*b^6*c^4*d^29*f^6 + 110880*a^9*b^6*c^6*d^27
*f^6 + 283360*a^9*b^6*c^8*d^25*f^6 + 431200*a^9*b^6*c^10*d^23*f^6 + 406560*a^9*b^6*c^12*d^21*f^6 + 234080*a^9*
b^6*c^14*d^19*f^6 + 75680*a^9*b^6*c^16*d^17*f^6 + 10560*a^9*b^6*c^18*d^15*f^6 - 7744*a^10*b^5*c^3*d^30*f^6 - 4
4352*a^10*b^5*c^5*d^28*f^6 - 123200*a^10*b^5*c^7*d^26*f^6 - 197120*a^10*b^5*c^9*d^24*f^6 - 192192*a^10*b^5*c^1
1*d^22*f^6 - 113344*a^10*b^5*c^13*d^20*f^6 - 37312*a^10*b^5*c^15*d^18*f^6 - 5280*a^10*b^5*c^17*d^16*f^6 + 1984
*a^11*b^4*c^2*d^31*f^6 + 12992*a^11*b^4*c^4*d^29*f^6 + 38080*a^11*b^4*c^6*d^27*f^6 + 62720*a^11*b^4*c^8*d^25*f
^6 + 62272*a^11*b^4*c^10*d^23*f^6 + 37184*a^11*b^4*c^12*d^21*f^6 + 12352*a^11*b^4*c^14*d^19*f^6 + 1760*a^11*b^
4*c^16*d^17*f^6 - 2464*a^12*b^3*c^3*d^30*f^6 - 7392*a^12*b^3*c^5*d^28*f^6 - 12320*a^12*b^3*c^7*d^26*f^6 - 1232
0*a^12*b^3*c^9*d^24*f^6 - 7392*a^12*b^3*c^11*d^22*f^6 - 2464*a^12*b^3*c^13*d^20*f^6 - 352*a^12*b^3*c^15*d^18*f
^6 + 224*a^13*b^2*c^2*d^31*f^6 + 672*a^13*b^2*c^4*d^29*f^6 + 1120*a^13*b^2*c^6*d^27*f^6 + 1120*a^13*b^2*c^8*d^
25*f^6 + 672*a^13*b^2*c^10*d^23*f^6 + 224*a^13*b^2*c^12*d^21*f^6 + 32*a^13*b^2*c^14*d^19*f^6 - 896*a*b^14*c^6*
d^27*f^6 - 1408*a*b^14*c^8*d^25*f^6 + 15200*a*b^14*c^10*d^23*f^6 + 70560*a*b^14*c^12*d^21*f^6 + 138208*a*b^14*
c^14*d^19*f^6 + 150304*a*b^14*c^16*d^17*f^6 + 94752*a*b^14*c^18*d^15*f^6 + 32480*a*b^14*c^20*d^13*f^6 + 4640*a
*b^14*c^22*d^11*f^6 - 32*a*b^14*c^24*d^9*f^6 + 896*a^6*b^9*c*d^32*f^6 + 512*a^8*b^7*c*d^32*f^6 - 352*a^10*b^5*
c*d^32*f^6 - 352*a^12*b^3*c*d^32*f^6))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*
f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f)))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^
2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f)))*(-b^5*(a*d - b*c)^3)^(1
/2)*2i)/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3
*c*d^2*f + 3*a^3*b^2*c^2*d*f) - (2*d^2)/(f*(c + d*tan(e + f*x))^(1/2)*(a*d^3 - b*c^3 + a*c^2*d - b*c*d^2))

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sympy [F]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {1}{\left (a + b \tan {\left (e + f x \right )}\right ) \left (c + d \tan {\left (e + f x \right )}\right )^{\frac {3}{2}}}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

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

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