\(\int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [364]

Optimal result

Integrand size = 33, antiderivative size = 364 \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=\frac {\left (8 a^2 A-35 A b^2+20 a b B\right ) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a}}\right )}{4 a^{9/2} d}-\frac {(A-i B) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a-i b}}\right )}{(a-i b)^{5/2} d}-\frac {(A+i B) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a+i b}}\right )}{(a+i b)^{5/2} d}+\frac {b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right )}{12 a^3 \left (a^2+b^2\right ) d (a+b \tan (c+d x))^{3/2}}+\frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}+\frac {b \left (11 a^4 A b+62 a^2 A b^3+35 A b^5-4 a^5 B-40 a^3 b^2 B-20 a b^4 B\right )}{4 a^4 \left (a^2+b^2\right )^2 d \sqrt {a+b \tan (c+d x)}} \]

[Out]

1/4*(8*A*a^2-35*A*b^2+20*B*a*b)*arctanh((a+b*tan(d*x+c))^(1/2)/a^(1/2))/a^(9/2)/d-(A-I*B)*arctanh((a+b*tan(d*x
+c))^(1/2)/(a-I*b)^(1/2))/(a-I*b)^(5/2)/d-(A+I*B)*arctanh((a+b*tan(d*x+c))^(1/2)/(a+I*b)^(1/2))/(a+I*b)^(5/2)/
d+1/4*b*(11*A*a^4*b+62*A*a^2*b^3+35*A*b^5-4*B*a^5-40*B*a^3*b^2-20*B*a*b^4)/a^4/(a^2+b^2)^2/d/(a+b*tan(d*x+c))^
(1/2)+1/12*b*(27*A*a^2*b+35*A*b^3-12*B*a^3-20*B*a*b^2)/a^3/(a^2+b^2)/d/(a+b*tan(d*x+c))^(3/2)+1/4*(7*A*b-4*B*a
)*cot(d*x+c)/a^2/d/(a+b*tan(d*x+c))^(3/2)-1/2*A*cot(d*x+c)^2/a/d/(a+b*tan(d*x+c))^(3/2)

Rubi [A] (verified)

Time = 1.86 (sec) , antiderivative size = 364, normalized size of antiderivative = 1.00, number of steps used = 15, number of rules used = 8, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.242, Rules used = {3690, 3730, 3734, 3620, 3618, 65, 214, 3715} \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=\frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}+\frac {\left (8 a^2 A+20 a b B-35 A b^2\right ) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a}}\right )}{4 a^{9/2} d}+\frac {b \left (-12 a^3 B+27 a^2 A b-20 a b^2 B+35 A b^3\right )}{12 a^3 d \left (a^2+b^2\right ) (a+b \tan (c+d x))^{3/2}}+\frac {b \left (-4 a^5 B+11 a^4 A b-40 a^3 b^2 B+62 a^2 A b^3-20 a b^4 B+35 A b^5\right )}{4 a^4 d \left (a^2+b^2\right )^2 \sqrt {a+b \tan (c+d x)}}-\frac {(A-i B) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a-i b}}\right )}{d (a-i b)^{5/2}}-\frac {(A+i B) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a+i b}}\right )}{d (a+i b)^{5/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}} \]

[In]

Int[(Cot[c + d*x]^3*(A + B*Tan[c + d*x]))/(a + b*Tan[c + d*x])^(5/2),x]

[Out]

((8*a^2*A - 35*A*b^2 + 20*a*b*B)*ArcTanh[Sqrt[a + b*Tan[c + d*x]]/Sqrt[a]])/(4*a^(9/2)*d) - ((A - I*B)*ArcTanh
[Sqrt[a + b*Tan[c + d*x]]/Sqrt[a - I*b]])/((a - I*b)^(5/2)*d) - ((A + I*B)*ArcTanh[Sqrt[a + b*Tan[c + d*x]]/Sq
rt[a + I*b]])/((a + I*b)^(5/2)*d) + (b*(27*a^2*A*b + 35*A*b^3 - 12*a^3*B - 20*a*b^2*B))/(12*a^3*(a^2 + b^2)*d*
(a + b*Tan[c + d*x])^(3/2)) + ((7*A*b - 4*a*B)*Cot[c + d*x])/(4*a^2*d*(a + b*Tan[c + d*x])^(3/2)) - (A*Cot[c +
d*x]^2)/(2*a*d*(a + b*Tan[c + d*x])^(3/2)) + (b*(11*a^4*A*b + 62*a^2*A*b^3 + 35*A*b^5 - 4*a^5*B - 40*a^3*b^2*
B - 20*a*b^4*B))/(4*a^4*(a^2 + b^2)^2*d*Sqrt[a + b*Tan[c + d*x]])

Rule 65

Int[((a_.) + (b_.)*(x_))^(m_)*((c_.) + (d_.)*(x_))^(n_), x_Symbol] :> With[{p = Denominator[m]}, Dist[p/b, Sub
st[Int[x^(p*(m + 1) - 1)*(c - a*(d/b) + d*(x^p/b))^n, x], x, (a + b*x)^(1/p)], x]] /; FreeQ[{a, b, c, d}, x] &
& NeQ[b*c - a*d, 0] && LtQ[-1, m, 0] && LeQ[-1, n, 0] && LeQ[Denominator[n], Denominator[m]] && IntLinearQ[a,
b, c, d, m, n, x]

Rule 214

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

Rule 3618

Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_)*((c_) + (d_.)*tan[(e_.) + (f_.)*(x_)]), x_Symbol] :> Dist[c*(
d/f), Subst[Int[(a + (b/d)*x)^m/(d^2 + c*x), x], x, d*Tan[e + f*x]], x] /; FreeQ[{a, b, c, d, e, f, m}, x] &&
NeQ[b*c - a*d, 0] && NeQ[a^2 + b^2, 0] && EqQ[c^2 + d^2, 0]

Rule 3620

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

Rule 3690

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

Rule 3715

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

Rule 3730

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

Rule 3734

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

Rubi steps \begin{align*} \text {integral}& = -\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}-\frac {\int \frac {\cot ^2(c+d x) \left (\frac {1}{2} (7 A b-4 a B)+2 a A \tan (c+d x)+\frac {7}{2} A b \tan ^2(c+d x)\right )}{(a+b \tan (c+d x))^{5/2}} \, dx}{2 a} \\ & = \frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}+\frac {\int \frac {\cot (c+d x) \left (\frac {1}{4} \left (-8 a^2 A+35 A b^2-20 a b B\right )-2 a^2 B \tan (c+d x)+\frac {5}{4} b (7 A b-4 a B) \tan ^2(c+d x)\right )}{(a+b \tan (c+d x))^{5/2}} \, dx}{2 a^2} \\ & = \frac {b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right )}{12 a^3 \left (a^2+b^2\right ) d (a+b \tan (c+d x))^{3/2}}+\frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}+\frac {\int \frac {\cot (c+d x) \left (-\frac {3}{8} \left (a^2+b^2\right ) \left (8 a^2 A-35 A b^2+20 a b B\right )+3 a^3 (A b-a B) \tan (c+d x)+\frac {3}{8} b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right ) \tan ^2(c+d x)\right )}{(a+b \tan (c+d x))^{3/2}} \, dx}{3 a^3 \left (a^2+b^2\right )} \\ & = \frac {b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right )}{12 a^3 \left (a^2+b^2\right ) d (a+b \tan (c+d x))^{3/2}}+\frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}+\frac {b \left (11 a^4 A b+62 a^2 A b^3+35 A b^5-4 a^5 B-40 a^3 b^2 B-20 a b^4 B\right )}{4 a^4 \left (a^2+b^2\right )^2 d \sqrt {a+b \tan (c+d x)}}+\frac {2 \int \frac {\cot (c+d x) \left (-\frac {3}{16} \left (a^2+b^2\right )^2 \left (8 a^2 A-35 A b^2+20 a b B\right )+\frac {3}{2} a^4 \left (2 a A b-a^2 B+b^2 B\right ) \tan (c+d x)+\frac {3}{16} b \left (11 a^4 A b+62 a^2 A b^3+35 A b^5-4 a^5 B-40 a^3 b^2 B-20 a b^4 B\right ) \tan ^2(c+d x)\right )}{\sqrt {a+b \tan (c+d x)}} \, dx}{3 a^4 \left (a^2+b^2\right )^2} \\ & = \frac {b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right )}{12 a^3 \left (a^2+b^2\right ) d (a+b \tan (c+d x))^{3/2}}+\frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}+\frac {b \left (11 a^4 A b+62 a^2 A b^3+35 A b^5-4 a^5 B-40 a^3 b^2 B-20 a b^4 B\right )}{4 a^4 \left (a^2+b^2\right )^2 d \sqrt {a+b \tan (c+d x)}}+\frac {2 \int \frac {\frac {3}{2} a^4 \left (2 a A b-a^2 B+b^2 B\right )+\frac {3}{2} a^4 \left (a^2 A-A b^2+2 a b B\right ) \tan (c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx}{3 a^4 \left (a^2+b^2\right )^2}-\frac {\left (8 a^2 A-35 A b^2+20 a b B\right ) \int \frac {\cot (c+d x) \left (1+\tan ^2(c+d x)\right )}{\sqrt {a+b \tan (c+d x)}} \, dx}{8 a^4} \\ & = \frac {b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right )}{12 a^3 \left (a^2+b^2\right ) d (a+b \tan (c+d x))^{3/2}}+\frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}+\frac {b \left (11 a^4 A b+62 a^2 A b^3+35 A b^5-4 a^5 B-40 a^3 b^2 B-20 a b^4 B\right )}{4 a^4 \left (a^2+b^2\right )^2 d \sqrt {a+b \tan (c+d x)}}+\frac {(i A-B) \int \frac {1-i \tan (c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx}{2 (a+i b)^2}-\frac {(i A+B) \int \frac {1+i \tan (c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx}{2 (a-i b)^2}-\frac {\left (8 a^2 A-35 A b^2+20 a b B\right ) \text {Subst}\left (\int \frac {1}{x \sqrt {a+b x}} \, dx,x,\tan (c+d x)\right )}{8 a^4 d} \\ & = \frac {b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right )}{12 a^3 \left (a^2+b^2\right ) d (a+b \tan (c+d x))^{3/2}}+\frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}+\frac {b \left (11 a^4 A b+62 a^2 A b^3+35 A b^5-4 a^5 B-40 a^3 b^2 B-20 a b^4 B\right )}{4 a^4 \left (a^2+b^2\right )^2 d \sqrt {a+b \tan (c+d x)}}+\frac {(A-i B) \text {Subst}\left (\int \frac {1}{(-1+x) \sqrt {a-i b x}} \, dx,x,i \tan (c+d x)\right )}{2 (a-i b)^2 d}+\frac {(A+i B) \text {Subst}\left (\int \frac {1}{(-1+x) \sqrt {a+i b x}} \, dx,x,-i \tan (c+d x)\right )}{2 (a+i b)^2 d}-\frac {\left (8 a^2 A-35 A b^2+20 a b B\right ) \text {Subst}\left (\int \frac {1}{-\frac {a}{b}+\frac {x^2}{b}} \, dx,x,\sqrt {a+b \tan (c+d x)}\right )}{4 a^4 b d} \\ & = \frac {\left (8 a^2 A-35 A b^2+20 a b B\right ) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a}}\right )}{4 a^{9/2} d}+\frac {b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right )}{12 a^3 \left (a^2+b^2\right ) d (a+b \tan (c+d x))^{3/2}}+\frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}+\frac {b \left (11 a^4 A b+62 a^2 A b^3+35 A b^5-4 a^5 B-40 a^3 b^2 B-20 a b^4 B\right )}{4 a^4 \left (a^2+b^2\right )^2 d \sqrt {a+b \tan (c+d x)}}-\frac {(i (A+i B)) \text {Subst}\left (\int \frac {1}{-1+\frac {i a}{b}-\frac {i x^2}{b}} \, dx,x,\sqrt {a+b \tan (c+d x)}\right )}{(a+i b)^2 b d}+\frac {(i A+B) \text {Subst}\left (\int \frac {1}{-1-\frac {i a}{b}+\frac {i x^2}{b}} \, dx,x,\sqrt {a+b \tan (c+d x)}\right )}{(a-i b)^2 b d} \\ & = \frac {\left (8 a^2 A-35 A b^2+20 a b B\right ) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a}}\right )}{4 a^{9/2} d}-\frac {(A-i B) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a-i b}}\right )}{(a-i b)^{5/2} d}-\frac {(A+i B) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a+i b}}\right )}{(a+i b)^{5/2} d}+\frac {b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right )}{12 a^3 \left (a^2+b^2\right ) d (a+b \tan (c+d x))^{3/2}}+\frac {(7 A b-4 a B) \cot (c+d x)}{4 a^2 d (a+b \tan (c+d x))^{3/2}}-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}+\frac {b \left (11 a^4 A b+62 a^2 A b^3+35 A b^5-4 a^5 B-40 a^3 b^2 B-20 a b^4 B\right )}{4 a^4 \left (a^2+b^2\right )^2 d \sqrt {a+b \tan (c+d x)}} \\ \end{align*}

Mathematica [A] (verified)

Time = 6.36 (sec) , antiderivative size = 593, normalized size of antiderivative = 1.63 \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=-\frac {A \cot ^2(c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}-\frac {-\frac {(7 A b-4 a B) \cot (c+d x)}{2 a d (a+b \tan (c+d x))^{3/2}}-\frac {\frac {2 \left (\frac {1}{4} b^2 \left (-8 a^2 A+35 A b^2-20 a b B\right )-a \left (-2 a^2 b B-\frac {5}{4} a b (7 A b-4 a B)\right )\right )}{3 a \left (a^2+b^2\right ) d (a+b \tan (c+d x))^{3/2}}+\frac {2 \left (\frac {2 \left (\frac {3 \left (a^2+b^2\right )^2 \left (8 a^2 A-35 A b^2+20 a b B\right ) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a}}\right )}{8 \sqrt {a} d}+\frac {i \sqrt {a-i b} \left (-\frac {3}{2} i a^4 \left (a^2 A-A b^2+2 a b B\right )+\frac {3}{2} a^4 \left (2 a A b-a^2 B+b^2 B\right )\right ) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a-i b}}\right )}{(-a+i b) d}-\frac {i \sqrt {a+i b} \left (\frac {3}{2} i a^4 \left (a^2 A-A b^2+2 a b B\right )+\frac {3}{2} a^4 \left (2 a A b-a^2 B+b^2 B\right )\right ) \text {arctanh}\left (\frac {\sqrt {a+b \tan (c+d x)}}{\sqrt {a+i b}}\right )}{(-a-i b) d}\right )}{a \left (a^2+b^2\right )}+\frac {2 \left (-\frac {3}{8} b^2 \left (a^2+b^2\right ) \left (8 a^2 A-35 A b^2+20 a b B\right )-a \left (3 a^3 b (A b-a B)-\frac {3}{8} a b \left (27 a^2 A b+35 A b^3-12 a^3 B-20 a b^2 B\right )\right )\right )}{a \left (a^2+b^2\right ) d \sqrt {a+b \tan (c+d x)}}\right )}{3 a \left (a^2+b^2\right )}}{a}}{2 a} \]

[In]

Integrate[(Cot[c + d*x]^3*(A + B*Tan[c + d*x]))/(a + b*Tan[c + d*x])^(5/2),x]

[Out]

-1/2*(A*Cot[c + d*x]^2)/(a*d*(a + b*Tan[c + d*x])^(3/2)) - (-1/2*((7*A*b - 4*a*B)*Cot[c + d*x])/(a*d*(a + b*Ta
n[c + d*x])^(3/2)) - ((2*((b^2*(-8*a^2*A + 35*A*b^2 - 20*a*b*B))/4 - a*(-2*a^2*b*B - (5*a*b*(7*A*b - 4*a*B))/4
)))/(3*a*(a^2 + b^2)*d*(a + b*Tan[c + d*x])^(3/2)) + (2*((2*((3*(a^2 + b^2)^2*(8*a^2*A - 35*A*b^2 + 20*a*b*B)*
ArcTanh[Sqrt[a + b*Tan[c + d*x]]/Sqrt[a]])/(8*Sqrt[a]*d) + (I*Sqrt[a - I*b]*(((-3*I)/2)*a^4*(a^2*A - A*b^2 + 2
*a*b*B) + (3*a^4*(2*a*A*b - a^2*B + b^2*B))/2)*ArcTanh[Sqrt[a + b*Tan[c + d*x]]/Sqrt[a - I*b]])/((-a + I*b)*d)
- (I*Sqrt[a + I*b]*(((3*I)/2)*a^4*(a^2*A - A*b^2 + 2*a*b*B) + (3*a^4*(2*a*A*b - a^2*B + b^2*B))/2)*ArcTanh[Sq
rt[a + b*Tan[c + d*x]]/Sqrt[a + I*b]])/((-a - I*b)*d)))/(a*(a^2 + b^2)) + (2*((-3*b^2*(a^2 + b^2)*(8*a^2*A - 3
5*A*b^2 + 20*a*b*B))/8 - a*(3*a^3*b*(A*b - a*B) - (3*a*b*(27*a^2*A*b + 35*A*b^3 - 12*a^3*B - 20*a*b^2*B))/8)))
/(a*(a^2 + b^2)*d*Sqrt[a + b*Tan[c + d*x]])))/(3*a*(a^2 + b^2)))/a)/(2*a)

Maple [B] (verified)

Leaf count of result is larger than twice the leaf count of optimal. \(13091\) vs. \(2(322)=644\).

Time = 0.27 (sec) , antiderivative size = 13092, normalized size of antiderivative = 35.97

method	result	size
derivativedivides	\(\text {Expression too large to display}\)	\(13092\)
default	\(\text {Expression too large to display}\)	\(13092\)

[In]

int(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x,method=_RETURNVERBOSE)

[Out]

result too large to display

Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 7654 vs. \(2 (316) = 632\).

Time = 111.45 (sec) , antiderivative size = 15325, normalized size of antiderivative = 42.10 \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=\text {Too large to display} \]

[In]

integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

Too large to include

Sympy [F]

\[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=\int \frac {\left (A + B \tan {\left (c + d x \right )}\right ) \cot ^{3}{\left (c + d x \right )}}{\left (a + b \tan {\left (c + d x \right )}\right )^{\frac {5}{2}}}\, dx \]

[In]

integrate(cot(d*x+c)**3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**(5/2),x)

[Out]

Integral((A + B*tan(c + d*x))*cot(c + d*x)**3/(a + b*tan(c + d*x))**(5/2), x)

Maxima [F(-1)]

Timed out. \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=\text {Timed out} \]

[In]

integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm="maxima")

[Out]

Timed out

Giac [F(-1)]

Timed out. \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=\text {Timed out} \]

[In]

integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Timed out

Mupad [B] (verification not implemented)

Time = 14.67 (sec) , antiderivative size = 71314, normalized size of antiderivative = 195.92 \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=\text {Too large to display} \]

[In]

int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(5/2),x)

[Out]

(((a + b*tan(c + d*x))^3*(35*A*b^6 + 62*A*a^2*b^4 + 11*A*a^4*b^2 - 40*B*a^3*b^3 - 20*B*a*b^5 - 4*B*a^5*b))/(4*
(a^8 + a^4*b^4 + 2*a^6*b^2)) - ((a + b*tan(c + d*x))^2*(175*A*b^6 + 310*A*a^2*b^4 + 39*A*a^4*b^2 - 208*B*a^3*b
^3 - 100*B*a*b^5 - 12*B*a^5*b))/(12*(a^7 + a^3*b^4 + 2*a^5*b^2)) + (2*(A*b^4 - B*a*b^3))/(3*a*(a^2 + b^2)) + (
2*(a + b*tan(c + d*x))*(7*A*b^6 + 13*A*a^2*b^4 - 10*B*a^3*b^3 - 4*B*a*b^5))/(3*a^2*(a^4 + b^4 + 2*a^2*b^2)))/(
d*(a + b*tan(c + d*x))^(7/2) - 2*a*d*(a + b*tan(c + d*x))^(5/2) + a^2*d*(a + b*tan(c + d*x))^(3/2)) + atan((((
a + b*tan(c + d*x))^(1/2)*(321126400*A^4*a^28*b^44*d^5 + 2422210560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^
40*d^5 - 54989422592*A^4*a^34*b^38*d^5 - 325864914944*A^4*a^36*b^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 20
54783238144*A^4*a^40*b^32*d^5 - 2923490705408*A^4*a^42*b^30*d^5 - 2962565365760*A^4*a^44*b^28*d^5 - 2094150975
488*A^4*a^46*b^26*d^5 - 943762440192*A^4*a^48*b^24*d^5 - 175655354368*A^4*a^50*b^22*d^5 + 74523344896*A^4*a^52
*b^20*d^5 + 62081990656*A^4*a^54*b^18*d^5 + 17307795456*A^4*a^56*b^16*d^5 + 1629487104*A^4*a^58*b^14*d^5 + 443
02336*A^4*a^60*b^12*d^5 + 104857600*A^4*a^62*b^10*d^5 + 25165824*A^4*a^64*b^8*d^5 - 104857600*B^4*a^30*b^42*d^
5 - 838860800*B^4*a^32*b^40*d^5 - 838860800*B^4*a^34*b^38*d^5 + 17624465408*B^4*a^36*b^36*d^5 + 114621939712*B
^4*a^38*b^34*d^5 + 382445027328*B^4*a^40*b^32*d^5 + 842753114112*B^4*a^42*b^30*d^5 + 1327925035008*B^4*a^44*b^
28*d^5 + 1546246946816*B^4*a^46*b^26*d^5 + 1344719028224*B^4*a^48*b^24*d^5 + 868489363456*B^4*a^50*b^22*d^5 +
406872653824*B^4*a^52*b^20*d^5 + 131298492416*B^4*a^54*b^18*d^5 + 26013073408*B^4*a^56*b^16*d^5 + 2214592512*B
^4*a^58*b^14*d^5 - 75497472*B^4*a^60*b^12*d^5 + 12582912*B^4*a^62*b^10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 367001
600*A*B^3*a^29*b^43*d^5 + 2013265920*A*B^3*a^31*b^41*d^5 - 8640266240*A*B^3*a^33*b^39*d^5 - 126919639040*A*B^3
*a^35*b^37*d^5 - 615681884160*A*B^3*a^37*b^35*d^5 - 1778636554240*A*B^3*a^39*b^33*d^5 - 3473303142400*A*B^3*a^
41*b^31*d^5 - 4786288066560*A*B^3*a^43*b^29*d^5 - 4657334190080*A*B^3*a^45*b^27*d^5 - 3034914488320*A*B^3*a^47
*b^25*d^5 - 1043626721280*A*B^3*a^49*b^23*d^5 + 175573565440*A*B^3*a^51*b^21*d^5 + 438933913600*A*B^3*a^53*b^1
9*d^5 + 258956328960*A*B^3*a^55*b^17*d^5 + 81621155840*A*B^3*a^57*b^15*d^5 + 13170114560*A*B^3*a^59*b^13*d^5 +
534773760*A*B^3*a^61*b^11*d^5 - 83886080*A*B^3*a^63*b^9*d^5 - 2936012800*A^3*B*a^29*b^43*d^5 - 35074867200*A^
3*B*a^31*b^41*d^5 - 184945737728*A^3*B*a^33*b^39*d^5 - 550328336384*A^3*B*a^35*b^37*d^5 - 939509415936*A^3*B*a
^37*b^35*d^5 - 615843364864*A^3*B*a^39*b^33*d^5 + 1152106102784*A^3*B*a^41*b^31*d^5 + 3885710180352*A^3*B*a^43
*b^29*d^5 + 5769036562432*A^3*B*a^45*b^27*d^5 + 5404966780928*A^3*B*a^47*b^25*d^5 + 3336906473472*A^3*B*a^49*b
^23*d^5 + 1259358650368*A^3*B*a^51*b^21*d^5 + 183016357888*A^3*B*a^53*b^19*d^5 - 67249373184*A^3*B*a^55*b^17*d
^5 - 37419483136*A^3*B*a^57*b^15*d^5 - 4628414464*A^3*B*a^59*b^13*d^5 + 874512384*A^3*B*a^61*b^11*d^5 + 218103
808*A^3*B*a^63*b^9*d^5 - 321126400*A^2*B^2*a^28*b^44*d^5 + 618659840*A^2*B^2*a^30*b^42*d^5 + 36924555264*A^2*B
^2*a^32*b^40*d^5 + 273177116672*A^2*B^2*a^34*b^38*d^5 + 1058131673088*A^2*B^2*a^36*b^36*d^5 + 2584175706112*A^
2*B^2*a^38*b^34*d^5 + 4186857013248*A^2*B^2*a^40*b^32*d^5 + 4360140488704*A^2*B^2*a^42*b^30*d^5 + 225601807974
4*A^2*B^2*a^44*b^28*d^5 - 932366516224*A^2*B^2*a^46*b^26*d^5 - 2951244414976*A^2*B^2*a^48*b^24*d^5 - 284486428
2624*A^2*B^2*a^50*b^22*d^5 - 1579112464384*A^2*B^2*a^52*b^20*d^5 - 500252540928*A^2*B^2*a^54*b^18*d^5 - 525986
69312*A^2*B^2*a^56*b^16*d^5 + 21875392512*A^2*B^2*a^58*b^14*d^5 + 8872787968*A^2*B^2*a^60*b^12*d^5 + 102341017
6*A^2*B^2*a^62*b^10*d^5) + (-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A
*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*
B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^
(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4
*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10
*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(1926758400*A^3*a^29*b^46*d^6 - ((-(((8*A^2*a^5*d^2 - 8
*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2
- 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^
8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^
3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40
*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^
(1/2)*(22934454272*A*a^66*b^14*d^8 - 587202560*A*a^32*b^48*d^8 - 11022630912*A*a^34*b^46*d^8 - 97861500928*A*a
^36*b^44*d^8 - 545947385856*A*a^38*b^42*d^8 - 2144363085824*A*a^40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8 -
14318951202816*A*a^44*b^36*d^8 - 25781950480384*A*a^46*b^34*d^8 - 37240352800768*A*a^48*b^32*d^8 - 43440607854
592*A*a^50*b^30*d^8 - 40962948595712*A*a^52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^8 - 18723775709184*A*a^56*
b^24*d^8 - 8746768007168*A*a^58*b^22*d^8 - 3015402586112*A*a^60*b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 5346
8987392*A*a^64*b^16*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 +
80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*
b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b
^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*
A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^1
0*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(134217728*a^36*b^46*d^9 + 26
17245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 140324634624*a^42*b^40*d^9 + 574988746752*a^44*b^38*d^9 +
1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*d^9 + 8008771829760*a^50*b^32*d^9 + 12280116805632*a^52
*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598244864*a^56*b^26*d^9 + 13080993988608*a^58*b^24*d^9 + 88986
35366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 2135672487936*a^64*b^18*d^9 + 725581037568*a^66*b^16*d^
9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^9 + 3758096384*a^72*b^10*d^9 + 201326592*a^74*b^8*d^9
) + 9378463744*A*a^68*b^12*d^8 + 1526726656*A*a^70*b^10*d^8 + 100663296*A*a^72*b^8*d^8 + 335544320*B*a^33*b^47
*d^8 + 6375342080*B*a^35*b^45*d^8 + 57411633152*B*a^37*b^43*d^8 + 325578653696*B*a^39*b^41*d^8 + 1302985703424
*B*a^41*b^39*d^8 + 3908420239360*B*a^43*b^37*d^8 + 9108686110720*B*a^45*b^35*d^8 + 16870765756416*B*a^47*b^33*
d^8 + 25190117408768*B*a^49*b^31*d^8 + 30574664220672*B*a^51*b^29*d^8 + 30277170626560*B*a^53*b^27*d^8 + 24449
436876800*B*a^55*b^25*d^8 + 16024522981376*B*a^57*b^23*d^8 + 8444442574848*B*a^59*b^21*d^8 + 3523081142272*B*a
^61*b^19*d^8 + 1136153067520*B*a^63*b^17*d^8 + 272797532160*B*a^65*b^15*d^8 + 45835354112*B*a^67*b^13*d^8 + 47
98283776*B*a^69*b^11*d^8 + 234881024*B*a^71*b^9*d^8) + (a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a^29*b^48*d^
7 + 22533898240*A^2*a^31*b^46*d^7 + 186026819584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7 + 34620498
24768*A^2*a^37*b^40*d^7 + 9267725729792*A^2*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 30611456655360*
A^2*a^43*b^34*d^7 + 38845460512768*A^2*a^45*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 30191101411328*A^2*a
^49*b^28*d^7 + 17505665941504*A^2*a^51*b^26*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^2*a^55*b^22
*d^7 - 795219066880*A^2*a^57*b^20*d^7 - 650033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16*d^7 - 4672
2449408*A^2*a^63*b^14*d^7 - 1836056576*A^2*a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944*A^2*a^69*b
^8*d^7 + 419430400*B^2*a^31*b^46*d^7 + 7549747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7 + 34190288
4864*B^2*a^37*b^40*d^7 + 1279296274432*B^2*a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 7727115927552*B^2
*a^43*b^34*d^7 + 13268563263488*B^2*a^45*b^32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 20795761885184*B^2*a^49
*b^28*d^7 + 19293899063296*B^2*a^51*b^26*d^7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2*a^55*b^22*
d^7 + 4534143287296*B^2*a^57*b^20*d^7 + 1759795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^16*d^7 + 989
35242752*B^2*a^63*b^14*d^7 + 10368319488*B^2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*B^2*a^69*b^
8*d^7 - 1468006400*A*B*a^30*b^47*d^7 - 26088570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d^7 - 114642
0723712*A*B*a^36*b^41*d^7 - 4217892765696*A*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 2445134947942
4*A*B*a^42*b^35*d^7 - 40818563874816*A*B*a^44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 58438298107904*A*B
*a^48*b^29*d^7 - 50283614830592*A*B*a^50*b^27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 17974807232512*A*B*a^54
*b^23*d^7 - 6751889915904*A*B*a^56*b^21*d^7 - 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^60*b^17*d^7
+ 209857806336*A*B*a^62*b^15*d^7 + 77661732864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 + 1140850688
*A*B*a^68*b^9*d^7))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*
d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B
^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) -
4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 +
20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^
6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2) + 29305077760*A^3*a^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*d
^6 + 885212053504*A^3*a^35*b^40*d^6 + 2611820363776*A^3*a^37*b^38*d^6 + 5610907107328*A^3*a^39*b^36*d^6 + 9110
711959552*A^3*a^41*b^34*d^6 + 11499686854656*A^3*a^43*b^32*d^6 + 11589668306944*A^3*a^45*b^30*d^6 + 9612611813
376*A^3*a^47*b^28*d^6 + 6761381625856*A^3*a^49*b^26*d^6 + 4077832372224*A^3*a^51*b^24*d^6 + 2037334933504*A^3*
a^53*b^22*d^6 + 762761445376*A^3*a^55*b^20*d^6 + 166853607424*A^3*a^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^6
- 15236333568*A^3*a^61*b^14*d^6 - 4014473216*A^3*a^63*b^12*d^6 - 276824064*A^3*a^65*b^10*d^6 + 25165824*A^3*a
^67*b^8*d^6 + 209715200*B^3*a^30*b^45*d^6 + 2726297600*B^3*a^32*b^43*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 318
76710400*B^3*a^36*b^39*d^6 - 23672651776*B^3*a^38*b^37*d^6 - 384265355264*B^3*a^40*b^35*d^6 - 1314511650816*B^
3*a^42*b^33*d^6 - 2706232049664*B^3*a^44*b^31*d^6 - 3843425304576*B^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*b
^27*d^6 - 2833386569728*B^3*a^50*b^25*d^6 - 1396736786432*B^3*a^52*b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6 -
23018340352*B^3*a^56*b^19*d^6 + 22464692224*B^3*a^58*b^17*d^6 + 1610612736*B^3*a^60*b^15*d^6 - 4001366016*B^3
*a^62*b^13*d^6 - 1535115264*B^3*a^64*b^11*d^6 - 184549376*B^3*a^66*b^9*d^6 - 734003200*A*B^2*a^29*b^46*d^6 - 8
745123840*A*B^2*a^31*b^44*d^6 - 39007027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 + 3319456071
68*A*B^2*a^37*b^38*d^6 + 1943095214080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 1043899351040
0*A*B^2*a^43*b^32*d^6 + 13925928140800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 973451821056
0*A*B^2*a^49*b^26*d^6 + 5232855613440*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 1035531714560*
A*B^2*a^55*b^20*d^6 + 547801268224*A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 84452311040*A*B^2*
a^61*b^14*d^6 + 15204352000*A*B^2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6
+ 642252800*A^2*B*a^28*b^47*d^6 + 5853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 - 1382400655
36*A^2*B*a^34*b^41*d^6 - 1017280200704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 9034669228032
*A^2*B*a^40*b^35*d^6 - 15573756936192*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 1966321696768
0*A^2*B*a^46*b^29*d^6 - 15338313875456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 593637670912
0*A^2*B*a^52*b^23*d^6 - 3256963039232*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 534383689728*A
^2*B*a^58*b^17*d^6 - 109743439872*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*B*a^64
*b^11*d^6 + 553648128*A^2*B*a^66*b^9*d^6))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^
3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4
- (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 8
0*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^
2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*
a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*1i + ((a + b*tan(c + d*x))^(1/2)*(32112
6400*A^4*a^28*b^44*d^5 + 2422210560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b^
38*d^5 - 325864914944*A^4*a^36*b^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 -
2923490705408*A^4*a^42*b^30*d^5 - 2962565365760*A^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 94376244
0192*A^4*a^48*b^24*d^5 - 175655354368*A^4*a^50*b^22*d^5 + 74523344896*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^54
*b^18*d^5 + 17307795456*A^4*a^56*b^16*d^5 + 1629487104*A^4*a^58*b^14*d^5 + 44302336*A^4*a^60*b^12*d^5 + 104857
600*A^4*a^62*b^10*d^5 + 25165824*A^4*a^64*b^8*d^5 - 104857600*B^4*a^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^5
- 838860800*B^4*a^34*b^38*d^5 + 17624465408*B^4*a^36*b^36*d^5 + 114621939712*B^4*a^38*b^34*d^5 + 382445027328*
B^4*a^40*b^32*d^5 + 842753114112*B^4*a^42*b^30*d^5 + 1327925035008*B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^46*
b^26*d^5 + 1344719028224*B^4*a^48*b^24*d^5 + 868489363456*B^4*a^50*b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5 +
131298492416*B^4*a^54*b^18*d^5 + 26013073408*B^4*a^56*b^16*d^5 + 2214592512*B^4*a^58*b^14*d^5 - 75497472*B^4*
a^60*b^12*d^5 + 12582912*B^4*a^62*b^10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 367001600*A*B^3*a^29*b^43*d^5 + 201326
5920*A*B^3*a^31*b^41*d^5 - 8640266240*A*B^3*a^33*b^39*d^5 - 126919639040*A*B^3*a^35*b^37*d^5 - 615681884160*A*
B^3*a^37*b^35*d^5 - 1778636554240*A*B^3*a^39*b^33*d^5 - 3473303142400*A*B^3*a^41*b^31*d^5 - 4786288066560*A*B^
3*a^43*b^29*d^5 - 4657334190080*A*B^3*a^45*b^27*d^5 - 3034914488320*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^3*
a^49*b^23*d^5 + 175573565440*A*B^3*a^51*b^21*d^5 + 438933913600*A*B^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^55*
b^17*d^5 + 81621155840*A*B^3*a^57*b^15*d^5 + 13170114560*A*B^3*a^59*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5 -
83886080*A*B^3*a^63*b^9*d^5 - 2936012800*A^3*B*a^29*b^43*d^5 - 35074867200*A^3*B*a^31*b^41*d^5 - 184945737728
*A^3*B*a^33*b^39*d^5 - 550328336384*A^3*B*a^35*b^37*d^5 - 939509415936*A^3*B*a^37*b^35*d^5 - 615843364864*A^3*
B*a^39*b^33*d^5 + 1152106102784*A^3*B*a^41*b^31*d^5 + 3885710180352*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*B*
a^45*b^27*d^5 + 5404966780928*A^3*B*a^47*b^25*d^5 + 3336906473472*A^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*a^
51*b^21*d^5 + 183016357888*A^3*B*a^53*b^19*d^5 - 67249373184*A^3*B*a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^15
*d^5 - 4628414464*A^3*B*a^59*b^13*d^5 + 874512384*A^3*B*a^61*b^11*d^5 + 218103808*A^3*B*a^63*b^9*d^5 - 3211264
00*A^2*B^2*a^28*b^44*d^5 + 618659840*A^2*B^2*a^30*b^42*d^5 + 36924555264*A^2*B^2*a^32*b^40*d^5 + 273177116672*
A^2*B^2*a^34*b^38*d^5 + 1058131673088*A^2*B^2*a^36*b^36*d^5 + 2584175706112*A^2*B^2*a^38*b^34*d^5 + 4186857013
248*A^2*B^2*a^40*b^32*d^5 + 4360140488704*A^2*B^2*a^42*b^30*d^5 + 2256018079744*A^2*B^2*a^44*b^28*d^5 - 932366
516224*A^2*B^2*a^46*b^26*d^5 - 2951244414976*A^2*B^2*a^48*b^24*d^5 - 2844864282624*A^2*B^2*a^50*b^22*d^5 - 157
9112464384*A^2*B^2*a^52*b^20*d^5 - 500252540928*A^2*B^2*a^54*b^18*d^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 + 21
875392512*A^2*B^2*a^58*b^14*d^5 + 8872787968*A^2*B^2*a^60*b^12*d^5 + 1023410176*A^2*B^2*a^62*b^10*d^5) - (-(((
8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 -
40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^1
0*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^
5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B
*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 +
5*a^8*b^2*d^4)))^(1/2)*(1926758400*A^3*a^29*b^46*d^6 - ((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^
2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a
^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^
6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 -
8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 +
b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*((a + b*tan(c + d*x))^(1/2
)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4
*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 +
16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4
*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 +
80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4
*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(134217728*a^36*b^46*d^9 + 2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9
+ 140324634624*a^42*b^40*d^9 + 574988746752*a^44*b^38*d^9 + 1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b
^34*d^9 + 8008771829760*a^50*b^32*d^9 + 12280116805632*a^52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598
244864*a^56*b^26*d^9 + 13080993988608*a^58*b^24*d^9 + 8898635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^
9 + 2135672487936*a^64*b^18*d^9 + 725581037568*a^66*b^16*d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b
^12*d^9 + 3758096384*a^72*b^10*d^9 + 201326592*a^74*b^8*d^9) - 587202560*A*a^32*b^48*d^8 - 11022630912*A*a^34*
b^46*d^8 - 97861500928*A*a^36*b^44*d^8 - 545947385856*A*a^38*b^42*d^8 - 2144363085824*A*a^40*b^40*d^8 - 629622
0729344*A*a^42*b^38*d^8 - 14318951202816*A*a^44*b^36*d^8 - 25781950480384*A*a^46*b^34*d^8 - 37240352800768*A*a
^48*b^32*d^8 - 43440607854592*A*a^50*b^30*d^8 - 40962948595712*A*a^52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^
8 - 18723775709184*A*a^56*b^24*d^8 - 8746768007168*A*a^58*b^22*d^8 - 3015402586112*A*a^60*b^20*d^8 - 678671941
632*A*a^62*b^18*d^8 - 53468987392*A*a^64*b^16*d^8 + 22934454272*A*a^66*b^14*d^8 + 9378463744*A*a^68*b^12*d^8 +
1526726656*A*a^70*b^10*d^8 + 100663296*A*a^72*b^8*d^8 + 335544320*B*a^33*b^47*d^8 + 6375342080*B*a^35*b^45*d^
8 + 57411633152*B*a^37*b^43*d^8 + 325578653696*B*a^39*b^41*d^8 + 1302985703424*B*a^41*b^39*d^8 + 3908420239360
*B*a^43*b^37*d^8 + 9108686110720*B*a^45*b^35*d^8 + 16870765756416*B*a^47*b^33*d^8 + 25190117408768*B*a^49*b^31
*d^8 + 30574664220672*B*a^51*b^29*d^8 + 30277170626560*B*a^53*b^27*d^8 + 24449436876800*B*a^55*b^25*d^8 + 1602
4522981376*B*a^57*b^23*d^8 + 8444442574848*B*a^59*b^21*d^8 + 3523081142272*B*a^61*b^19*d^8 + 1136153067520*B*a
^63*b^17*d^8 + 272797532160*B*a^65*b^15*d^8 + 45835354112*B*a^67*b^13*d^8 + 4798283776*B*a^69*b^11*d^8 + 23488
1024*B*a^71*b^9*d^8) - (a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a^29*b^48*d^7 + 22533898240*A^2*a^31*b^46*d^
7 + 186026819584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7 + 3462049824768*A^2*a^37*b^40*d^7 + 926772
5729792*A^2*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 30611456655360*A^2*a^43*b^34*d^7 + 388454605127
68*A^2*a^45*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 30191101411328*A^2*a^49*b^28*d^7 + 17505665941504*A^
2*a^51*b^26*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^2*a^55*b^22*d^7 - 795219066880*A^2*a^57*b^2
0*d^7 - 650033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16*d^7 - 46722449408*A^2*a^63*b^14*d^7 - 1836
056576*A^2*a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944*A^2*a^69*b^8*d^7 + 419430400*B^2*a^31*b^46
*d^7 + 7549747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7 + 341902884864*B^2*a^37*b^40*d^7 + 1279296
274432*B^2*a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 7727115927552*B^2*a^43*b^34*d^7 + 13268563263488*
B^2*a^45*b^32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 20795761885184*B^2*a^49*b^28*d^7 + 19293899063296*B^2*a
^51*b^26*d^7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2*a^55*b^22*d^7 + 4534143287296*B^2*a^57*b^2
0*d^7 + 1759795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^16*d^7 + 98935242752*B^2*a^63*b^14*d^7 + 103
68319488*B^2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*B^2*a^69*b^8*d^7 - 1468006400*A*B*a^30*b^47
*d^7 - 26088570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d^7 - 1146420723712*A*B*a^36*b^41*d^7 - 4217
892765696*A*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 24451349479424*A*B*a^42*b^35*d^7 - 4081856387
4816*A*B*a^44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 58438298107904*A*B*a^48*b^29*d^7 - 50283614830592*
A*B*a^50*b^27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 17974807232512*A*B*a^54*b^23*d^7 - 6751889915904*A*B*a^
56*b^21*d^7 - 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^60*b^17*d^7 + 209857806336*A*B*a^62*b^15*d^
7 + 77661732864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 + 1140850688*A*B*a^68*b^9*d^7))*(-(((8*A^2*a
^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*
a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 +
80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 +
40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^
3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b
^2*d^4)))^(1/2) + 29305077760*A^3*a^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*d^6 + 885212053504*A^3*a^35*b^40*
d^6 + 2611820363776*A^3*a^37*b^38*d^6 + 5610907107328*A^3*a^39*b^36*d^6 + 9110711959552*A^3*a^41*b^34*d^6 + 11
499686854656*A^3*a^43*b^32*d^6 + 11589668306944*A^3*a^45*b^30*d^6 + 9612611813376*A^3*a^47*b^28*d^6 + 67613816
25856*A^3*a^49*b^26*d^6 + 4077832372224*A^3*a^51*b^24*d^6 + 2037334933504*A^3*a^53*b^22*d^6 + 762761445376*A^3
*a^55*b^20*d^6 + 166853607424*A^3*a^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^6 - 15236333568*A^3*a^61*b^14*d^6
- 4014473216*A^3*a^63*b^12*d^6 - 276824064*A^3*a^65*b^10*d^6 + 25165824*A^3*a^67*b^8*d^6 + 209715200*B^3*a^30
*b^45*d^6 + 2726297600*B^3*a^32*b^43*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 31876710400*B^3*a^36*b^39*d^6 - 236
72651776*B^3*a^38*b^37*d^6 - 384265355264*B^3*a^40*b^35*d^6 - 1314511650816*B^3*a^42*b^33*d^6 - 2706232049664*
B^3*a^44*b^31*d^6 - 3843425304576*B^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*b^27*d^6 - 2833386569728*B^3*a^50
*b^25*d^6 - 1396736786432*B^3*a^52*b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6 - 23018340352*B^3*a^56*b^19*d^6 +
22464692224*B^3*a^58*b^17*d^6 + 1610612736*B^3*a^60*b^15*d^6 - 4001366016*B^3*a^62*b^13*d^6 - 1535115264*B^3*
a^64*b^11*d^6 - 184549376*B^3*a^66*b^9*d^6 - 734003200*A*B^2*a^29*b^46*d^6 - 8745123840*A*B^2*a^31*b^44*d^6 -
39007027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 + 331945607168*A*B^2*a^37*b^38*d^6 + 1943095
214080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 10438993510400*A*B^2*a^43*b^32*d^6 + 13925928
140800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 9734518210560*A*B^2*a^49*b^26*d^6 + 52328556
13440*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 1035531714560*A*B^2*a^55*b^20*d^6 + 5478012682
24*A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 84452311040*A*B^2*a^61*b^14*d^6 + 15204352000*A*B^
2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6 + 642252800*A^2*B*a^28*b^47*d^6
+ 5853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 - 138240065536*A^2*B*a^34*b^41*d^6 - 1017280
200704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 9034669228032*A^2*B*a^40*b^35*d^6 - 155737569
36192*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 19663216967680*A^2*B*a^46*b^29*d^6 - 15338313
875456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 5936376709120*A^2*B*a^52*b^23*d^6 - 32569630
39232*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 534383689728*A^2*B*a^58*b^17*d^6 - 10974343987
2*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*B*a^64*b^11*d^6 + 553648128*A^2*B*a^66
*b^9*d^6))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*
A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a
^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^
5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*
b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 1
0*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*1i)/(((a + b*tan(c + d*x))^(1/2)*(321126400*A^4*a^28*b^44*d^5 + 2422210
560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b^38*d^5 - 325864914944*A^4*a^36*b
^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 - 2923490705408*A^4*a^42*b^30*d^5
- 2962565365760*A^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 943762440192*A^4*a^48*b^24*d^5 - 1756553
54368*A^4*a^50*b^22*d^5 + 74523344896*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^54*b^18*d^5 + 17307795456*A^4*a^56
*b^16*d^5 + 1629487104*A^4*a^58*b^14*d^5 + 44302336*A^4*a^60*b^12*d^5 + 104857600*A^4*a^62*b^10*d^5 + 25165824
*A^4*a^64*b^8*d^5 - 104857600*B^4*a^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^5 - 838860800*B^4*a^34*b^38*d^5 +
17624465408*B^4*a^36*b^36*d^5 + 114621939712*B^4*a^38*b^34*d^5 + 382445027328*B^4*a^40*b^32*d^5 + 842753114112
*B^4*a^42*b^30*d^5 + 1327925035008*B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^46*b^26*d^5 + 1344719028224*B^4*a^4
8*b^24*d^5 + 868489363456*B^4*a^50*b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5 + 131298492416*B^4*a^54*b^18*d^5
+ 26013073408*B^4*a^56*b^16*d^5 + 2214592512*B^4*a^58*b^14*d^5 - 75497472*B^4*a^60*b^12*d^5 + 12582912*B^4*a^6
2*b^10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 367001600*A*B^3*a^29*b^43*d^5 + 2013265920*A*B^3*a^31*b^41*d^5 - 86402
66240*A*B^3*a^33*b^39*d^5 - 126919639040*A*B^3*a^35*b^37*d^5 - 615681884160*A*B^3*a^37*b^35*d^5 - 177863655424
0*A*B^3*a^39*b^33*d^5 - 3473303142400*A*B^3*a^41*b^31*d^5 - 4786288066560*A*B^3*a^43*b^29*d^5 - 4657334190080*
A*B^3*a^45*b^27*d^5 - 3034914488320*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^3*a^49*b^23*d^5 + 175573565440*A*B
^3*a^51*b^21*d^5 + 438933913600*A*B^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^55*b^17*d^5 + 81621155840*A*B^3*a^5
7*b^15*d^5 + 13170114560*A*B^3*a^59*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5 - 83886080*A*B^3*a^63*b^9*d^5 - 2
936012800*A^3*B*a^29*b^43*d^5 - 35074867200*A^3*B*a^31*b^41*d^5 - 184945737728*A^3*B*a^33*b^39*d^5 - 550328336
384*A^3*B*a^35*b^37*d^5 - 939509415936*A^3*B*a^37*b^35*d^5 - 615843364864*A^3*B*a^39*b^33*d^5 + 1152106102784*
A^3*B*a^41*b^31*d^5 + 3885710180352*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*B*a^45*b^27*d^5 + 5404966780928*A^
3*B*a^47*b^25*d^5 + 3336906473472*A^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*a^51*b^21*d^5 + 183016357888*A^3*B
*a^53*b^19*d^5 - 67249373184*A^3*B*a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^15*d^5 - 4628414464*A^3*B*a^59*b^1
3*d^5 + 874512384*A^3*B*a^61*b^11*d^5 + 218103808*A^3*B*a^63*b^9*d^5 - 321126400*A^2*B^2*a^28*b^44*d^5 + 61865
9840*A^2*B^2*a^30*b^42*d^5 + 36924555264*A^2*B^2*a^32*b^40*d^5 + 273177116672*A^2*B^2*a^34*b^38*d^5 + 10581316
73088*A^2*B^2*a^36*b^36*d^5 + 2584175706112*A^2*B^2*a^38*b^34*d^5 + 4186857013248*A^2*B^2*a^40*b^32*d^5 + 4360
140488704*A^2*B^2*a^42*b^30*d^5 + 2256018079744*A^2*B^2*a^44*b^28*d^5 - 932366516224*A^2*B^2*a^46*b^26*d^5 - 2
951244414976*A^2*B^2*a^48*b^24*d^5 - 2844864282624*A^2*B^2*a^50*b^22*d^5 - 1579112464384*A^2*B^2*a^52*b^20*d^5
- 500252540928*A^2*B^2*a^54*b^18*d^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 + 21875392512*A^2*B^2*a^58*b^14*d^5
+ 8872787968*A^2*B^2*a^60*b^12*d^5 + 1023410176*A^2*B^2*a^62*b^10*d^5) + (-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 -
80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b
^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4
*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*
B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)
/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(19267584
00*A^3*a^29*b^46*d^6 - ((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*
b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2
+ B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/
2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^
2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^
4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(22934454272*A*a^66*b^14*d^8 - 587202560*A*a^32*b^48*d^8 -
11022630912*A*a^34*b^46*d^8 - 97861500928*A*a^36*b^44*d^8 - 545947385856*A*a^38*b^42*d^8 - 2144363085824*A*a^
40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8 - 14318951202816*A*a^44*b^36*d^8 - 25781950480384*A*a^46*b^34*d^8
- 37240352800768*A*a^48*b^32*d^8 - 43440607854592*A*a^50*b^30*d^8 - 40962948595712*A*a^52*b^28*d^8 - 310715046
95296*A*a^54*b^26*d^8 - 18723775709184*A*a^56*b^24*d^8 - 8746768007168*A*a^58*b^22*d^8 - 3015402586112*A*a^60*
b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 53468987392*A*a^64*b^16*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*
a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2
*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4
+ 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2
+ 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b
^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*
b^2*d^4)))^(1/2)*(134217728*a^36*b^46*d^9 + 2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 14032463462
4*a^42*b^40*d^9 + 574988746752*a^44*b^38*d^9 + 1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*d^9 + 800
8771829760*a^50*b^32*d^9 + 12280116805632*a^52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598244864*a^56*b
^26*d^9 + 13080993988608*a^58*b^24*d^9 + 8898635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 213567248
7936*a^64*b^18*d^9 + 725581037568*a^66*b^16*d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^9 + 375
8096384*a^72*b^10*d^9 + 201326592*a^74*b^8*d^9) + 9378463744*A*a^68*b^12*d^8 + 1526726656*A*a^70*b^10*d^8 + 10
0663296*A*a^72*b^8*d^8 + 335544320*B*a^33*b^47*d^8 + 6375342080*B*a^35*b^45*d^8 + 57411633152*B*a^37*b^43*d^8
+ 325578653696*B*a^39*b^41*d^8 + 1302985703424*B*a^41*b^39*d^8 + 3908420239360*B*a^43*b^37*d^8 + 9108686110720
*B*a^45*b^35*d^8 + 16870765756416*B*a^47*b^33*d^8 + 25190117408768*B*a^49*b^31*d^8 + 30574664220672*B*a^51*b^2
9*d^8 + 30277170626560*B*a^53*b^27*d^8 + 24449436876800*B*a^55*b^25*d^8 + 16024522981376*B*a^57*b^23*d^8 + 844
4442574848*B*a^59*b^21*d^8 + 3523081142272*B*a^61*b^19*d^8 + 1136153067520*B*a^63*b^17*d^8 + 272797532160*B*a^
65*b^15*d^8 + 45835354112*B*a^67*b^13*d^8 + 4798283776*B*a^69*b^11*d^8 + 234881024*B*a^71*b^9*d^8) + (a + b*ta
n(c + d*x))^(1/2)*(1284505600*A^2*a^29*b^48*d^7 + 22533898240*A^2*a^31*b^46*d^7 + 186026819584*A^2*a^33*b^44*d
^7 + 959522537472*A^2*a^35*b^42*d^7 + 3462049824768*A^2*a^37*b^40*d^7 + 9267725729792*A^2*a^39*b^38*d^7 + 1904
1104166912*A^2*a^41*b^36*d^7 + 30611456655360*A^2*a^43*b^34*d^7 + 38845460512768*A^2*a^45*b^32*d^7 + 388568836
99712*A^2*a^47*b^30*d^7 + 30191101411328*A^2*a^49*b^28*d^7 + 17505665941504*A^2*a^51*b^26*d^7 + 6756256186368*
A^2*a^53*b^24*d^7 + 916161822720*A^2*a^55*b^22*d^7 - 795219066880*A^2*a^57*b^20*d^7 - 650033233920*A^2*a^59*b^
18*d^7 - 242161287168*A^2*a^61*b^16*d^7 - 46722449408*A^2*a^63*b^14*d^7 - 1836056576*A^2*a^65*b^12*d^7 + 10234
10176*A^2*a^67*b^10*d^7 + 150994944*A^2*a^69*b^8*d^7 + 419430400*B^2*a^31*b^46*d^7 + 7549747200*B^2*a^33*b^44*
d^7 + 64172851200*B^2*a^35*b^42*d^7 + 341902884864*B^2*a^37*b^40*d^7 + 1279296274432*B^2*a^39*b^38*d^7 + 35723
39048448*B^2*a^41*b^36*d^7 + 7727115927552*B^2*a^43*b^34*d^7 + 13268563263488*B^2*a^45*b^32*d^7 + 183900768829
44*B^2*a^47*b^30*d^7 + 20795761885184*B^2*a^49*b^28*d^7 + 19293899063296*B^2*a^51*b^26*d^7 + 14686674223104*B^
2*a^53*b^24*d^7 + 9110632267776*B^2*a^55*b^22*d^7 + 4534143287296*B^2*a^57*b^20*d^7 + 1759795740672*B^2*a^59*b
^18*d^7 + 507141685248*B^2*a^61*b^16*d^7 + 98935242752*B^2*a^63*b^14*d^7 + 10368319488*B^2*a^65*b^12*d^7 + 167
77216*B^2*a^67*b^10*d^7 - 83886080*B^2*a^69*b^8*d^7 - 1468006400*A*B*a^30*b^47*d^7 - 26088570880*A*B*a^32*b^45
*d^7 - 218565181440*A*B*a^34*b^43*d^7 - 1146420723712*A*B*a^36*b^41*d^7 - 4217892765696*A*B*a^38*b^39*d^7 - 11
558763626496*A*B*a^40*b^37*d^7 - 24451349479424*A*B*a^42*b^35*d^7 - 40818563874816*A*B*a^44*b^33*d^7 - 5447469
7605120*A*B*a^46*b^31*d^7 - 58438298107904*A*B*a^48*b^29*d^7 - 50283614830592*A*B*a^50*b^27*d^7 - 342806841262
08*A*B*a^52*b^25*d^7 - 17974807232512*A*B*a^54*b^23*d^7 - 6751889915904*A*B*a^56*b^21*d^7 - 1433948651520*A*B*
a^58*b^19*d^7 + 109790101504*A*B*a^60*b^17*d^7 + 209857806336*A*B*a^62*b^15*d^7 + 77661732864*A*B*a^64*b^13*d^
7 + 14369685504*A*B*a^66*b^11*d^7 + 1140850688*A*B*a^68*b^9*d^7))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*
a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2
+ 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^
4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3
*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a
^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2) + 29305077760*A^
3*a^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*d^6 + 885212053504*A^3*a^35*b^40*d^6 + 2611820363776*A^3*a^37*b^3
8*d^6 + 5610907107328*A^3*a^39*b^36*d^6 + 9110711959552*A^3*a^41*b^34*d^6 + 11499686854656*A^3*a^43*b^32*d^6 +
11589668306944*A^3*a^45*b^30*d^6 + 9612611813376*A^3*a^47*b^28*d^6 + 6761381625856*A^3*a^49*b^26*d^6 + 407783
2372224*A^3*a^51*b^24*d^6 + 2037334933504*A^3*a^53*b^22*d^6 + 762761445376*A^3*a^55*b^20*d^6 + 166853607424*A^
3*a^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^6 - 15236333568*A^3*a^61*b^14*d^6 - 4014473216*A^3*a^63*b^12*d^6
- 276824064*A^3*a^65*b^10*d^6 + 25165824*A^3*a^67*b^8*d^6 + 209715200*B^3*a^30*b^45*d^6 + 2726297600*B^3*a^32*
b^43*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 31876710400*B^3*a^36*b^39*d^6 - 23672651776*B^3*a^38*b^37*d^6 - 384
265355264*B^3*a^40*b^35*d^6 - 1314511650816*B^3*a^42*b^33*d^6 - 2706232049664*B^3*a^44*b^31*d^6 - 384342530457
6*B^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*b^27*d^6 - 2833386569728*B^3*a^50*b^25*d^6 - 1396736786432*B^3*a^
52*b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6 - 23018340352*B^3*a^56*b^19*d^6 + 22464692224*B^3*a^58*b^17*d^6 +
1610612736*B^3*a^60*b^15*d^6 - 4001366016*B^3*a^62*b^13*d^6 - 1535115264*B^3*a^64*b^11*d^6 - 184549376*B^3*a^
66*b^9*d^6 - 734003200*A*B^2*a^29*b^46*d^6 - 8745123840*A*B^2*a^31*b^44*d^6 - 39007027200*A*B^2*a^33*b^42*d^6
- 43956305920*A*B^2*a^35*b^40*d^6 + 331945607168*A*B^2*a^37*b^38*d^6 + 1943095214080*A*B^2*a^39*b^36*d^6 + 555
6991426560*A*B^2*a^41*b^34*d^6 + 10438993510400*A*B^2*a^43*b^32*d^6 + 13925928140800*A*B^2*a^45*b^30*d^6 + 135
62349092864*A*B^2*a^47*b^28*d^6 + 9734518210560*A*B^2*a^49*b^26*d^6 + 5232855613440*A*B^2*a^51*b^24*d^6 + 2292
816281600*A*B^2*a^53*b^22*d^6 + 1035531714560*A*B^2*a^55*b^20*d^6 + 547801268224*A*B^2*a^57*b^18*d^6 + 2603404
49280*A*B^2*a^59*b^16*d^6 + 84452311040*A*B^2*a^61*b^14*d^6 + 15204352000*A*B^2*a^63*b^12*d^6 + 880803840*A*B^
2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6 + 642252800*A^2*B*a^28*b^47*d^6 + 5853675520*A^2*B*a^30*b^45*d^6
+ 7876902912*A^2*B*a^32*b^43*d^6 - 138240065536*A^2*B*a^34*b^41*d^6 - 1017280200704*A^2*B*a^36*b^39*d^6 - 374
4022396928*A^2*B*a^38*b^37*d^6 - 9034669228032*A^2*B*a^40*b^35*d^6 - 15573756936192*A^2*B*a^42*b^33*d^6 - 1999
0100049920*A^2*B*a^44*b^31*d^6 - 19663216967680*A^2*B*a^46*b^29*d^6 - 15338313875456*A^2*B*a^48*b^27*d^6 - 100
40245223424*A^2*B*a^50*b^25*d^6 - 5936376709120*A^2*B*a^52*b^23*d^6 - 3256963039232*A^2*B*a^54*b^21*d^6 - 1533
802446848*A^2*B*a^56*b^19*d^6 - 534383689728*A^2*B*a^58*b^17*d^6 - 109743439872*A^2*B*a^60*b^15*d^6 - 39358300
16*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*B*a^64*b^11*d^6 + 553648128*A^2*B*a^66*b^9*d^6))*(-(((8*A^2*a^5*d^2 -
8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2
- 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b
^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a
^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 4
0*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))
^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(321126400*A^4*a^28*b^44*d^5 + 2422210560*A^4*a^30*b^42*d^5 + 1411383296*
A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b^38*d^5 - 325864914944*A^4*a^36*b^36*d^5 - 1011294928896*A^4*a^38*b^
34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 - 2923490705408*A^4*a^42*b^30*d^5 - 2962565365760*A^4*a^44*b^28*d^5 -
2094150975488*A^4*a^46*b^26*d^5 - 943762440192*A^4*a^48*b^24*d^5 - 175655354368*A^4*a^50*b^22*d^5 + 745233448
96*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^54*b^18*d^5 + 17307795456*A^4*a^56*b^16*d^5 + 1629487104*A^4*a^58*b^1
4*d^5 + 44302336*A^4*a^60*b^12*d^5 + 104857600*A^4*a^62*b^10*d^5 + 25165824*A^4*a^64*b^8*d^5 - 104857600*B^4*a
^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^5 - 838860800*B^4*a^34*b^38*d^5 + 17624465408*B^4*a^36*b^36*d^5 + 114
621939712*B^4*a^38*b^34*d^5 + 382445027328*B^4*a^40*b^32*d^5 + 842753114112*B^4*a^42*b^30*d^5 + 1327925035008*
B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^46*b^26*d^5 + 1344719028224*B^4*a^48*b^24*d^5 + 868489363456*B^4*a^50*
b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5 + 131298492416*B^4*a^54*b^18*d^5 + 26013073408*B^4*a^56*b^16*d^5 + 2
214592512*B^4*a^58*b^14*d^5 - 75497472*B^4*a^60*b^12*d^5 + 12582912*B^4*a^62*b^10*d^5 + 8388608*B^4*a^64*b^8*d
^5 + 367001600*A*B^3*a^29*b^43*d^5 + 2013265920*A*B^3*a^31*b^41*d^5 - 8640266240*A*B^3*a^33*b^39*d^5 - 1269196
39040*A*B^3*a^35*b^37*d^5 - 615681884160*A*B^3*a^37*b^35*d^5 - 1778636554240*A*B^3*a^39*b^33*d^5 - 34733031424
00*A*B^3*a^41*b^31*d^5 - 4786288066560*A*B^3*a^43*b^29*d^5 - 4657334190080*A*B^3*a^45*b^27*d^5 - 3034914488320
*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^3*a^49*b^23*d^5 + 175573565440*A*B^3*a^51*b^21*d^5 + 438933913600*A*B
^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^55*b^17*d^5 + 81621155840*A*B^3*a^57*b^15*d^5 + 13170114560*A*B^3*a^59
*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5 - 83886080*A*B^3*a^63*b^9*d^5 - 2936012800*A^3*B*a^29*b^43*d^5 - 350
74867200*A^3*B*a^31*b^41*d^5 - 184945737728*A^3*B*a^33*b^39*d^5 - 550328336384*A^3*B*a^35*b^37*d^5 - 939509415
936*A^3*B*a^37*b^35*d^5 - 615843364864*A^3*B*a^39*b^33*d^5 + 1152106102784*A^3*B*a^41*b^31*d^5 + 3885710180352
*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*B*a^45*b^27*d^5 + 5404966780928*A^3*B*a^47*b^25*d^5 + 3336906473472*A
^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*a^51*b^21*d^5 + 183016357888*A^3*B*a^53*b^19*d^5 - 67249373184*A^3*B*
a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^15*d^5 - 4628414464*A^3*B*a^59*b^13*d^5 + 874512384*A^3*B*a^61*b^11*d
^5 + 218103808*A^3*B*a^63*b^9*d^5 - 321126400*A^2*B^2*a^28*b^44*d^5 + 618659840*A^2*B^2*a^30*b^42*d^5 + 369245
55264*A^2*B^2*a^32*b^40*d^5 + 273177116672*A^2*B^2*a^34*b^38*d^5 + 1058131673088*A^2*B^2*a^36*b^36*d^5 + 25841
75706112*A^2*B^2*a^38*b^34*d^5 + 4186857013248*A^2*B^2*a^40*b^32*d^5 + 4360140488704*A^2*B^2*a^42*b^30*d^5 + 2
256018079744*A^2*B^2*a^44*b^28*d^5 - 932366516224*A^2*B^2*a^46*b^26*d^5 - 2951244414976*A^2*B^2*a^48*b^24*d^5
- 2844864282624*A^2*B^2*a^50*b^22*d^5 - 1579112464384*A^2*B^2*a^52*b^20*d^5 - 500252540928*A^2*B^2*a^54*b^18*d
^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 + 21875392512*A^2*B^2*a^58*b^14*d^5 + 8872787968*A^2*B^2*a^60*b^12*d^5
+ 1023410176*A^2*B^2*a^62*b^10*d^5) - (-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2
*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A
^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8
*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 2
0*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b
^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(1926758400*A^3*a^29*b^46*d^6 - ((-(((8*A^2*
a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2
*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4
+ 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2
+ 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b
^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*
b^2*d^4)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*
a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2
/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 +
80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*
d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 +
5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(134217728*a^36*b^46*d^9 + 2617245696
*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 140324634624*a^42*b^40*d^9 + 574988746752*a^44*b^38*d^9 + 1766036
865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*d^9 + 8008771829760*a^50*b^32*d^9 + 12280116805632*a^52*b^30*d^
9 + 15335314948096*a^54*b^28*d^9 + 15661598244864*a^56*b^26*d^9 + 13080993988608*a^58*b^24*d^9 + 8898635366400
*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 2135672487936*a^64*b^18*d^9 + 725581037568*a^66*b^16*d^9 + 1848
17811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^9 + 3758096384*a^72*b^10*d^9 + 201326592*a^74*b^8*d^9) - 5872
02560*A*a^32*b^48*d^8 - 11022630912*A*a^34*b^46*d^8 - 97861500928*A*a^36*b^44*d^8 - 545947385856*A*a^38*b^42*d
^8 - 2144363085824*A*a^40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8 - 14318951202816*A*a^44*b^36*d^8 - 25781950
480384*A*a^46*b^34*d^8 - 37240352800768*A*a^48*b^32*d^8 - 43440607854592*A*a^50*b^30*d^8 - 40962948595712*A*a^
52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^8 - 18723775709184*A*a^56*b^24*d^8 - 8746768007168*A*a^58*b^22*d^8
- 3015402586112*A*a^60*b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 53468987392*A*a^64*b^16*d^8 + 22934454272*A*a
^66*b^14*d^8 + 9378463744*A*a^68*b^12*d^8 + 1526726656*A*a^70*b^10*d^8 + 100663296*A*a^72*b^8*d^8 + 335544320*
B*a^33*b^47*d^8 + 6375342080*B*a^35*b^45*d^8 + 57411633152*B*a^37*b^43*d^8 + 325578653696*B*a^39*b^41*d^8 + 13
02985703424*B*a^41*b^39*d^8 + 3908420239360*B*a^43*b^37*d^8 + 9108686110720*B*a^45*b^35*d^8 + 16870765756416*B
*a^47*b^33*d^8 + 25190117408768*B*a^49*b^31*d^8 + 30574664220672*B*a^51*b^29*d^8 + 30277170626560*B*a^53*b^27*
d^8 + 24449436876800*B*a^55*b^25*d^8 + 16024522981376*B*a^57*b^23*d^8 + 8444442574848*B*a^59*b^21*d^8 + 352308
1142272*B*a^61*b^19*d^8 + 1136153067520*B*a^63*b^17*d^8 + 272797532160*B*a^65*b^15*d^8 + 45835354112*B*a^67*b^
13*d^8 + 4798283776*B*a^69*b^11*d^8 + 234881024*B*a^71*b^9*d^8) - (a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a
^29*b^48*d^7 + 22533898240*A^2*a^31*b^46*d^7 + 186026819584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7
+ 3462049824768*A^2*a^37*b^40*d^7 + 9267725729792*A^2*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 3061
1456655360*A^2*a^43*b^34*d^7 + 38845460512768*A^2*a^45*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 301911014
11328*A^2*a^49*b^28*d^7 + 17505665941504*A^2*a^51*b^26*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^
2*a^55*b^22*d^7 - 795219066880*A^2*a^57*b^20*d^7 - 650033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16
*d^7 - 46722449408*A^2*a^63*b^14*d^7 - 1836056576*A^2*a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944
*A^2*a^69*b^8*d^7 + 419430400*B^2*a^31*b^46*d^7 + 7549747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7
+ 341902884864*B^2*a^37*b^40*d^7 + 1279296274432*B^2*a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 772711
5927552*B^2*a^43*b^34*d^7 + 13268563263488*B^2*a^45*b^32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 207957618851
84*B^2*a^49*b^28*d^7 + 19293899063296*B^2*a^51*b^26*d^7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2
*a^55*b^22*d^7 + 4534143287296*B^2*a^57*b^20*d^7 + 1759795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^1
6*d^7 + 98935242752*B^2*a^63*b^14*d^7 + 10368319488*B^2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*
B^2*a^69*b^8*d^7 - 1468006400*A*B*a^30*b^47*d^7 - 26088570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d
^7 - 1146420723712*A*B*a^36*b^41*d^7 - 4217892765696*A*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 24
451349479424*A*B*a^42*b^35*d^7 - 40818563874816*A*B*a^44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 5843829
8107904*A*B*a^48*b^29*d^7 - 50283614830592*A*B*a^50*b^27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 179748072325
12*A*B*a^54*b^23*d^7 - 6751889915904*A*B*a^56*b^21*d^7 - 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^
60*b^17*d^7 + 209857806336*A*B*a^62*b^15*d^7 + 77661732864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 +
1140850688*A*B*a^68*b^9*d^7))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 +
16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*
A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^
4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a
*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4
+ 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2) + 29305077760*A^3*a^31*b^44*d^6 + 205768359936*A^3*
a^33*b^42*d^6 + 885212053504*A^3*a^35*b^40*d^6 + 2611820363776*A^3*a^37*b^38*d^6 + 5610907107328*A^3*a^39*b^36
*d^6 + 9110711959552*A^3*a^41*b^34*d^6 + 11499686854656*A^3*a^43*b^32*d^6 + 11589668306944*A^3*a^45*b^30*d^6 +
9612611813376*A^3*a^47*b^28*d^6 + 6761381625856*A^3*a^49*b^26*d^6 + 4077832372224*A^3*a^51*b^24*d^6 + 2037334
933504*A^3*a^53*b^22*d^6 + 762761445376*A^3*a^55*b^20*d^6 + 166853607424*A^3*a^57*b^18*d^6 - 4374659072*A^3*a^
59*b^16*d^6 - 15236333568*A^3*a^61*b^14*d^6 - 4014473216*A^3*a^63*b^12*d^6 - 276824064*A^3*a^65*b^10*d^6 + 251
65824*A^3*a^67*b^8*d^6 + 209715200*B^3*a^30*b^45*d^6 + 2726297600*B^3*a^32*b^43*d^6 + 14260633600*B^3*a^34*b^4
1*d^6 + 31876710400*B^3*a^36*b^39*d^6 - 23672651776*B^3*a^38*b^37*d^6 - 384265355264*B^3*a^40*b^35*d^6 - 13145
11650816*B^3*a^42*b^33*d^6 - 2706232049664*B^3*a^44*b^31*d^6 - 3843425304576*B^3*a^46*b^29*d^6 - 3908202135552
*B^3*a^48*b^27*d^6 - 2833386569728*B^3*a^50*b^25*d^6 - 1396736786432*B^3*a^52*b^23*d^6 - 401529110528*B^3*a^54
*b^21*d^6 - 23018340352*B^3*a^56*b^19*d^6 + 22464692224*B^3*a^58*b^17*d^6 + 1610612736*B^3*a^60*b^15*d^6 - 400
1366016*B^3*a^62*b^13*d^6 - 1535115264*B^3*a^64*b^11*d^6 - 184549376*B^3*a^66*b^9*d^6 - 734003200*A*B^2*a^29*b
^46*d^6 - 8745123840*A*B^2*a^31*b^44*d^6 - 39007027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 +
331945607168*A*B^2*a^37*b^38*d^6 + 1943095214080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 10
438993510400*A*B^2*a^43*b^32*d^6 + 13925928140800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 9
734518210560*A*B^2*a^49*b^26*d^6 + 5232855613440*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 103
5531714560*A*B^2*a^55*b^20*d^6 + 547801268224*A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 8445231
1040*A*B^2*a^61*b^14*d^6 + 15204352000*A*B^2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^
67*b^8*d^6 + 642252800*A^2*B*a^28*b^47*d^6 + 5853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 -
138240065536*A^2*B*a^34*b^41*d^6 - 1017280200704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 90
34669228032*A^2*B*a^40*b^35*d^6 - 15573756936192*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 19
663216967680*A^2*B*a^46*b^29*d^6 - 15338313875456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 5
936376709120*A^2*B*a^52*b^23*d^6 - 3256963039232*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 534
383689728*A^2*B*a^58*b^17*d^6 - 109743439872*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152
*A^2*B*a^64*b^11*d^6 + 553648128*A^2*B*a^66*b^9*d^6))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2
+ 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4
*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*
b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8
*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^
10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2) - 321126400*A^5*a^28*b^42*d^
4 - 4027842560*A^5*a^30*b^40*d^4 - 22761701376*A^5*a^32*b^38*d^4 - 75571134464*A^5*a^34*b^36*d^4 - 15932823961
6*A^5*a^36*b^34*d^4 - 207324708864*A^5*a^38*b^32*d^4 - 117820358656*A^5*a^40*b^30*d^4 + 122543669248*A^5*a^42*
b^28*d^4 + 370779881472*A^5*a^44*b^26*d^4 + 452800544768*A^5*a^46*b^24*d^4 + 344539267072*A^5*a^48*b^22*d^4 +
170969530368*A^5*a^50*b^20*d^4 + 50835226624*A^5*a^52*b^18*d^4 + 5260967936*A^5*a^54*b^16*d^4 - 1976303616*A^5
*a^56*b^14*d^4 - 794558464*A^5*a^58*b^12*d^4 - 90177536*A^5*a^60*b^10*d^4 + 209715200*B^5*a^31*b^39*d^4 + 2894
069760*B^5*a^33*b^37*d^4 + 18496880640*B^5*a^35*b^35*d^4 + 72519516160*B^5*a^37*b^33*d^4 + 194657648640*B^5*a^
39*b^31*d^4 + 377864847360*B^5*a^41*b^29*d^4 + 545804779520*B^5*a^43*b^27*d^4 + 593787617280*B^5*a^45*b^25*d^4
+ 485826232320*B^5*a^47*b^23*d^4 + 293894881280*B^5*a^49*b^21*d^4 + 125954949120*B^5*a^51*b^19*d^4 + 34351349
760*B^5*a^53*b^17*d^4 + 3816816640*B^5*a^55*b^15*d^4 - 880803840*B^5*a^57*b^13*d^4 - 377487360*B^5*a^59*b^11*d
^4 - 41943040*B^5*a^61*b^9*d^4 - 838860800*A*B^4*a^30*b^40*d^4 - 11398021120*A*B^4*a^32*b^38*d^4 - 71508688896
*A*B^4*a^34*b^36*d^4 - 274091474944*A*B^4*a^36*b^34*d^4 - 715271438336*A*B^4*a^38*b^32*d^4 - 1339130118144*A*B
^4*a^40*b^30*d^4 - 1843140755456*A*B^4*a^42*b^28*d^4 - 1873429921792*A*B^4*a^44*b^26*d^4 - 1381905727488*A*B^4
*a^46*b^24*d^4 - 697850396672*A*B^4*a^48*b^22*d^4 - 197329420288*A*B^4*a^50*b^20*d^4 + 7442792448*A*B^4*a^52*b
^18*d^4 + 32824623104*A*B^4*a^54*b^16*d^4 + 13637779456*A*B^4*a^56*b^14*d^4 + 2478833664*A*B^4*a^58*b^12*d^4 +
111149056*A*B^4*a^60*b^10*d^4 - 16777216*A*B^4*a^62*b^8*d^4 + 1009254400*A^4*B*a^29*b^41*d^4 + 13385072640*A^
4*B*a^31*b^39*d^4 + 81494802432*A^4*B*a^33*b^37*d^4 + 300677070848*A^4*B*a^35*b^35*d^4 + 746139942912*A^4*B*a^
37*b^33*d^4 + 1302774939648*A^4*B*a^39*b^31*d^4 + 1615897034752*A^4*B*a^41*b^29*d^4 + 1379206692864*A^4*B*a^43
*b^27*d^4 + 702423760896*A^4*B*a^45*b^25*d^4 + 43934285824*A^4*B*a^47*b^23*d^4 - 253484335104*A^4*B*a^49*b^21*
d^4 - 226718908416*A^4*B*a^51*b^19*d^4 - 103578861568*A^4*B*a^53*b^17*d^4 - 26137853952*A^4*B*a^55*b^15*d^4 -
2543321088*A^4*B*a^57*b^13*d^4 + 312475648*A^4*B*a^59*b^11*d^4 + 75497472*A^4*B*a^61*b^9*d^4 + 1009254400*A^2*
B^3*a^29*b^41*d^4 + 13594787840*A^2*B^3*a^31*b^39*d^4 + 84388872192*A^2*B^3*a^33*b^37*d^4 + 319173951488*A^2*B
^3*a^35*b^35*d^4 + 818659459072*A^2*B^3*a^37*b^33*d^4 + 1497432588288*A^2*B^3*a^39*b^31*d^4 + 1993761882112*A^
2*B^3*a^41*b^29*d^4 + 1925011472384*A^2*B^3*a^43*b^27*d^4 + 1296211378176*A^2*B^3*a^45*b^25*d^4 + 529760518144
*A^2*B^3*a^47*b^23*d^4 + 40410546176*A^2*B^3*a^49*b^21*d^4 - 100763959296*A^2*B^3*a^51*b^19*d^4 - 69227511808*
A^2*B^3*a^53*b^17*d^4 - 22321037312*A^2*B^3*a^55*b^15*d^4 - 3424124928*A^2*B^3*a^57*b^13*d^4 - 65011712*A^2*B^
3*a^59*b^11*d^4 + 33554432*A^2*B^3*a^61*b^9*d^4 - 321126400*A^3*B^2*a^28*b^42*d^4 - 4866703360*A^3*B^2*a^30*b^
40*d^4 - 34159722496*A^3*B^2*a^32*b^38*d^4 - 147079823360*A^3*B^2*a^34*b^36*d^4 - 433419714560*A^3*B^2*a^36*b^
34*d^4 - 922596147200*A^3*B^2*a^38*b^32*d^4 - 1456950476800*A^3*B^2*a^40*b^30*d^4 - 1720597086208*A^3*B^2*a^42
*b^28*d^4 - 1502650040320*A^3*B^2*a^44*b^26*d^4 - 929105182720*A^3*B^2*a^46*b^24*d^4 - 353311129600*A^3*B^2*a^
48*b^22*d^4 - 26359889920*A^3*B^2*a^50*b^20*d^4 + 58278019072*A^3*B^2*a^52*b^18*d^4 + 38085591040*A^3*B^2*a^54
*b^16*d^4 + 11661475840*A^3*B^2*a^56*b^14*d^4 + 1684275200*A^3*B^2*a^58*b^12*d^4 + 20971520*A^3*B^2*a^60*b^10*
d^4 - 16777216*A^3*B^2*a^62*b^8*d^4))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2
*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A
^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8
*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 2
0*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b
^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*2i + atan((((a + b*tan(c + d*x))^(1/2)*(3211
26400*A^4*a^28*b^44*d^5 + 2422210560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b
^38*d^5 - 325864914944*A^4*a^36*b^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 -
2923490705408*A^4*a^42*b^30*d^5 - 2962565365760*A^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 9437624
40192*A^4*a^48*b^24*d^5 - 175655354368*A^4*a^50*b^22*d^5 + 74523344896*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^5
4*b^18*d^5 + 17307795456*A^4*a^56*b^16*d^5 + 1629487104*A^4*a^58*b^14*d^5 + 44302336*A^4*a^60*b^12*d^5 + 10485
7600*A^4*a^62*b^10*d^5 + 25165824*A^4*a^64*b^8*d^5 - 104857600*B^4*a^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^5
- 838860800*B^4*a^34*b^38*d^5 + 17624465408*B^4*a^36*b^36*d^5 + 114621939712*B^4*a^38*b^34*d^5 + 382445027328
*B^4*a^40*b^32*d^5 + 842753114112*B^4*a^42*b^30*d^5 + 1327925035008*B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^46
*b^26*d^5 + 1344719028224*B^4*a^48*b^24*d^5 + 868489363456*B^4*a^50*b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5
+ 131298492416*B^4*a^54*b^18*d^5 + 26013073408*B^4*a^56*b^16*d^5 + 2214592512*B^4*a^58*b^14*d^5 - 75497472*B^4
*a^60*b^12*d^5 + 12582912*B^4*a^62*b^10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 367001600*A*B^3*a^29*b^43*d^5 + 20132
65920*A*B^3*a^31*b^41*d^5 - 8640266240*A*B^3*a^33*b^39*d^5 - 126919639040*A*B^3*a^35*b^37*d^5 - 615681884160*A
*B^3*a^37*b^35*d^5 - 1778636554240*A*B^3*a^39*b^33*d^5 - 3473303142400*A*B^3*a^41*b^31*d^5 - 4786288066560*A*B
^3*a^43*b^29*d^5 - 4657334190080*A*B^3*a^45*b^27*d^5 - 3034914488320*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^3
*a^49*b^23*d^5 + 175573565440*A*B^3*a^51*b^21*d^5 + 438933913600*A*B^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^55
*b^17*d^5 + 81621155840*A*B^3*a^57*b^15*d^5 + 13170114560*A*B^3*a^59*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5
- 83886080*A*B^3*a^63*b^9*d^5 - 2936012800*A^3*B*a^29*b^43*d^5 - 35074867200*A^3*B*a^31*b^41*d^5 - 18494573772
8*A^3*B*a^33*b^39*d^5 - 550328336384*A^3*B*a^35*b^37*d^5 - 939509415936*A^3*B*a^37*b^35*d^5 - 615843364864*A^3
*B*a^39*b^33*d^5 + 1152106102784*A^3*B*a^41*b^31*d^5 + 3885710180352*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*B
*a^45*b^27*d^5 + 5404966780928*A^3*B*a^47*b^25*d^5 + 3336906473472*A^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*a
^51*b^21*d^5 + 183016357888*A^3*B*a^53*b^19*d^5 - 67249373184*A^3*B*a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^1
5*d^5 - 4628414464*A^3*B*a^59*b^13*d^5 + 874512384*A^3*B*a^61*b^11*d^5 + 218103808*A^3*B*a^63*b^9*d^5 - 321126
400*A^2*B^2*a^28*b^44*d^5 + 618659840*A^2*B^2*a^30*b^42*d^5 + 36924555264*A^2*B^2*a^32*b^40*d^5 + 273177116672
*A^2*B^2*a^34*b^38*d^5 + 1058131673088*A^2*B^2*a^36*b^36*d^5 + 2584175706112*A^2*B^2*a^38*b^34*d^5 + 418685701
3248*A^2*B^2*a^40*b^32*d^5 + 4360140488704*A^2*B^2*a^42*b^30*d^5 + 2256018079744*A^2*B^2*a^44*b^28*d^5 - 93236
6516224*A^2*B^2*a^46*b^26*d^5 - 2951244414976*A^2*B^2*a^48*b^24*d^5 - 2844864282624*A^2*B^2*a^50*b^22*d^5 - 15
79112464384*A^2*B^2*a^52*b^20*d^5 - 500252540928*A^2*B^2*a^54*b^18*d^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 + 2
1875392512*A^2*B^2*a^58*b^14*d^5 + 8872787968*A^2*B^2*a^60*b^12*d^5 + 1023410176*A^2*B^2*a^62*b^10*d^5) + ((((
8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 -
40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^1
0*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^
5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B
*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 +
5*a^8*b^2*d^4)))^(1/2)*(1926758400*A^3*a^29*b^46*d^6 - (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2
+ 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^
4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6
*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 +
8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b
^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(22934454272*A*a^66*b^14*d^
8 - 587202560*A*a^32*b^48*d^8 - 11022630912*A*a^34*b^46*d^8 - 97861500928*A*a^36*b^44*d^8 - 545947385856*A*a^3
8*b^42*d^8 - 2144363085824*A*a^40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8 - 14318951202816*A*a^44*b^36*d^8 -
25781950480384*A*a^46*b^34*d^8 - 37240352800768*A*a^48*b^32*d^8 - 43440607854592*A*a^50*b^30*d^8 - 40962948595
712*A*a^52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^8 - 18723775709184*A*a^56*b^24*d^8 - 8746768007168*A*a^58*b
^22*d^8 - 3015402586112*A*a^60*b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 53468987392*A*a^64*b^16*d^8 - (a + b*
tan(c + d*x))^(1/2)*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d
^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^
4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) +
4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 2
0*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6
*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(134217728*a^36*b^46*d^9 + 2617245696*a^38*b^44*d^9 + 241591910
40*a^40*b^42*d^9 + 140324634624*a^42*b^40*d^9 + 574988746752*a^44*b^38*d^9 + 1766036865024*a^46*b^36*d^9 + 421
6584142848*a^48*b^34*d^9 + 8008771829760*a^50*b^32*d^9 + 12280116805632*a^52*b^30*d^9 + 15335314948096*a^54*b^
28*d^9 + 15661598244864*a^56*b^26*d^9 + 13080993988608*a^58*b^24*d^9 + 8898635366400*a^60*b^22*d^9 + 488740434
7392*a^62*b^20*d^9 + 2135672487936*a^64*b^18*d^9 + 725581037568*a^66*b^16*d^9 + 184817811456*a^68*b^14*d^9 + 3
3218887680*a^70*b^12*d^9 + 3758096384*a^72*b^10*d^9 + 201326592*a^74*b^8*d^9) + 9378463744*A*a^68*b^12*d^8 + 1
526726656*A*a^70*b^10*d^8 + 100663296*A*a^72*b^8*d^8 + 335544320*B*a^33*b^47*d^8 + 6375342080*B*a^35*b^45*d^8
+ 57411633152*B*a^37*b^43*d^8 + 325578653696*B*a^39*b^41*d^8 + 1302985703424*B*a^41*b^39*d^8 + 3908420239360*B
*a^43*b^37*d^8 + 9108686110720*B*a^45*b^35*d^8 + 16870765756416*B*a^47*b^33*d^8 + 25190117408768*B*a^49*b^31*d
^8 + 30574664220672*B*a^51*b^29*d^8 + 30277170626560*B*a^53*b^27*d^8 + 24449436876800*B*a^55*b^25*d^8 + 160245
22981376*B*a^57*b^23*d^8 + 8444442574848*B*a^59*b^21*d^8 + 3523081142272*B*a^61*b^19*d^8 + 1136153067520*B*a^6
3*b^17*d^8 + 272797532160*B*a^65*b^15*d^8 + 45835354112*B*a^67*b^13*d^8 + 4798283776*B*a^69*b^11*d^8 + 2348810
24*B*a^71*b^9*d^8) + (a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a^29*b^48*d^7 + 22533898240*A^2*a^31*b^46*d^7
+ 186026819584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7 + 3462049824768*A^2*a^37*b^40*d^7 + 92677257
29792*A^2*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 30611456655360*A^2*a^43*b^34*d^7 + 38845460512768
*A^2*a^45*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 30191101411328*A^2*a^49*b^28*d^7 + 17505665941504*A^2*
a^51*b^26*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^2*a^55*b^22*d^7 - 795219066880*A^2*a^57*b^20*
d^7 - 650033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16*d^7 - 46722449408*A^2*a^63*b^14*d^7 - 183605
6576*A^2*a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944*A^2*a^69*b^8*d^7 + 419430400*B^2*a^31*b^46*d
^7 + 7549747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7 + 341902884864*B^2*a^37*b^40*d^7 + 127929627
4432*B^2*a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 7727115927552*B^2*a^43*b^34*d^7 + 13268563263488*B^
2*a^45*b^32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 20795761885184*B^2*a^49*b^28*d^7 + 19293899063296*B^2*a^5
1*b^26*d^7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2*a^55*b^22*d^7 + 4534143287296*B^2*a^57*b^20*
d^7 + 1759795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^16*d^7 + 98935242752*B^2*a^63*b^14*d^7 + 10368
319488*B^2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*B^2*a^69*b^8*d^7 - 1468006400*A*B*a^30*b^47*d
^7 - 26088570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d^7 - 1146420723712*A*B*a^36*b^41*d^7 - 421789
2765696*A*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 24451349479424*A*B*a^42*b^35*d^7 - 408185638748
16*A*B*a^44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 58438298107904*A*B*a^48*b^29*d^7 - 50283614830592*A*
B*a^50*b^27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 17974807232512*A*B*a^54*b^23*d^7 - 6751889915904*A*B*a^56
*b^21*d^7 - 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^60*b^17*d^7 + 209857806336*A*B*a^62*b^15*d^7
+ 77661732864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 + 1140850688*A*B*a^68*b^9*d^7))*((((8*A^2*a^5*
d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b
^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80
*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40
*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d
^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*
d^4)))^(1/2) + 29305077760*A^3*a^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*d^6 + 885212053504*A^3*a^35*b^40*d^6
+ 2611820363776*A^3*a^37*b^38*d^6 + 5610907107328*A^3*a^39*b^36*d^6 + 9110711959552*A^3*a^41*b^34*d^6 + 11499
686854656*A^3*a^43*b^32*d^6 + 11589668306944*A^3*a^45*b^30*d^6 + 9612611813376*A^3*a^47*b^28*d^6 + 67613816258
56*A^3*a^49*b^26*d^6 + 4077832372224*A^3*a^51*b^24*d^6 + 2037334933504*A^3*a^53*b^22*d^6 + 762761445376*A^3*a^
55*b^20*d^6 + 166853607424*A^3*a^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^6 - 15236333568*A^3*a^61*b^14*d^6 -
4014473216*A^3*a^63*b^12*d^6 - 276824064*A^3*a^65*b^10*d^6 + 25165824*A^3*a^67*b^8*d^6 + 209715200*B^3*a^30*b^
45*d^6 + 2726297600*B^3*a^32*b^43*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 31876710400*B^3*a^36*b^39*d^6 - 236726
51776*B^3*a^38*b^37*d^6 - 384265355264*B^3*a^40*b^35*d^6 - 1314511650816*B^3*a^42*b^33*d^6 - 2706232049664*B^3
*a^44*b^31*d^6 - 3843425304576*B^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*b^27*d^6 - 2833386569728*B^3*a^50*b^
25*d^6 - 1396736786432*B^3*a^52*b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6 - 23018340352*B^3*a^56*b^19*d^6 + 22
464692224*B^3*a^58*b^17*d^6 + 1610612736*B^3*a^60*b^15*d^6 - 4001366016*B^3*a^62*b^13*d^6 - 1535115264*B^3*a^6
4*b^11*d^6 - 184549376*B^3*a^66*b^9*d^6 - 734003200*A*B^2*a^29*b^46*d^6 - 8745123840*A*B^2*a^31*b^44*d^6 - 390
07027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 + 331945607168*A*B^2*a^37*b^38*d^6 + 1943095214
080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 10438993510400*A*B^2*a^43*b^32*d^6 + 13925928140
800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 9734518210560*A*B^2*a^49*b^26*d^6 + 52328556134
40*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 1035531714560*A*B^2*a^55*b^20*d^6 + 547801268224*
A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 84452311040*A*B^2*a^61*b^14*d^6 + 15204352000*A*B^2*a
^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6 + 642252800*A^2*B*a^28*b^47*d^6 + 5
853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 - 138240065536*A^2*B*a^34*b^41*d^6 - 1017280200
704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 9034669228032*A^2*B*a^40*b^35*d^6 - 155737569361
92*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 19663216967680*A^2*B*a^46*b^29*d^6 - 15338313875
456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 5936376709120*A^2*B*a^52*b^23*d^6 - 32569630392
32*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 534383689728*A^2*B*a^58*b^17*d^6 - 109743439872*A
^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*B*a^64*b^11*d^6 + 553648128*A^2*B*a^66*b^
9*d^6))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*
a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*
d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^
2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*
d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^
6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*1i + ((a + b*tan(c + d*x))^(1/2)*(321126400*A^4*a^28*b^44*d^5 + 2422210560*
A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b^38*d^5 - 325864914944*A^4*a^36*b^36*
d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 - 2923490705408*A^4*a^42*b^30*d^5 - 29
62565365760*A^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 943762440192*A^4*a^48*b^24*d^5 - 17565535436
8*A^4*a^50*b^22*d^5 + 74523344896*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^54*b^18*d^5 + 17307795456*A^4*a^56*b^1
6*d^5 + 1629487104*A^4*a^58*b^14*d^5 + 44302336*A^4*a^60*b^12*d^5 + 104857600*A^4*a^62*b^10*d^5 + 25165824*A^4
*a^64*b^8*d^5 - 104857600*B^4*a^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^5 - 838860800*B^4*a^34*b^38*d^5 + 1762
4465408*B^4*a^36*b^36*d^5 + 114621939712*B^4*a^38*b^34*d^5 + 382445027328*B^4*a^40*b^32*d^5 + 842753114112*B^4
*a^42*b^30*d^5 + 1327925035008*B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^46*b^26*d^5 + 1344719028224*B^4*a^48*b^
24*d^5 + 868489363456*B^4*a^50*b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5 + 131298492416*B^4*a^54*b^18*d^5 + 26
013073408*B^4*a^56*b^16*d^5 + 2214592512*B^4*a^58*b^14*d^5 - 75497472*B^4*a^60*b^12*d^5 + 12582912*B^4*a^62*b^
10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 367001600*A*B^3*a^29*b^43*d^5 + 2013265920*A*B^3*a^31*b^41*d^5 - 864026624
0*A*B^3*a^33*b^39*d^5 - 126919639040*A*B^3*a^35*b^37*d^5 - 615681884160*A*B^3*a^37*b^35*d^5 - 1778636554240*A*
B^3*a^39*b^33*d^5 - 3473303142400*A*B^3*a^41*b^31*d^5 - 4786288066560*A*B^3*a^43*b^29*d^5 - 4657334190080*A*B^
3*a^45*b^27*d^5 - 3034914488320*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^3*a^49*b^23*d^5 + 175573565440*A*B^3*a
^51*b^21*d^5 + 438933913600*A*B^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^55*b^17*d^5 + 81621155840*A*B^3*a^57*b^
15*d^5 + 13170114560*A*B^3*a^59*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5 - 83886080*A*B^3*a^63*b^9*d^5 - 29360
12800*A^3*B*a^29*b^43*d^5 - 35074867200*A^3*B*a^31*b^41*d^5 - 184945737728*A^3*B*a^33*b^39*d^5 - 550328336384*
A^3*B*a^35*b^37*d^5 - 939509415936*A^3*B*a^37*b^35*d^5 - 615843364864*A^3*B*a^39*b^33*d^5 + 1152106102784*A^3*
B*a^41*b^31*d^5 + 3885710180352*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*B*a^45*b^27*d^5 + 5404966780928*A^3*B*
a^47*b^25*d^5 + 3336906473472*A^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*a^51*b^21*d^5 + 183016357888*A^3*B*a^5
3*b^19*d^5 - 67249373184*A^3*B*a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^15*d^5 - 4628414464*A^3*B*a^59*b^13*d^
5 + 874512384*A^3*B*a^61*b^11*d^5 + 218103808*A^3*B*a^63*b^9*d^5 - 321126400*A^2*B^2*a^28*b^44*d^5 + 618659840
*A^2*B^2*a^30*b^42*d^5 + 36924555264*A^2*B^2*a^32*b^40*d^5 + 273177116672*A^2*B^2*a^34*b^38*d^5 + 105813167308
8*A^2*B^2*a^36*b^36*d^5 + 2584175706112*A^2*B^2*a^38*b^34*d^5 + 4186857013248*A^2*B^2*a^40*b^32*d^5 + 43601404
88704*A^2*B^2*a^42*b^30*d^5 + 2256018079744*A^2*B^2*a^44*b^28*d^5 - 932366516224*A^2*B^2*a^46*b^26*d^5 - 29512
44414976*A^2*B^2*a^48*b^24*d^5 - 2844864282624*A^2*B^2*a^50*b^22*d^5 - 1579112464384*A^2*B^2*a^52*b^20*d^5 - 5
00252540928*A^2*B^2*a^54*b^18*d^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 + 21875392512*A^2*B^2*a^58*b^14*d^5 + 88
72787968*A^2*B^2*a^60*b^12*d^5 + 1023410176*A^2*B^2*a^62*b^10*d^5) - ((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^
2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^
2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*
d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a
^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*
(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(1926758400*A^
3*a^29*b^46*d^6 - (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^
2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4
)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4
*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20
*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*
d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 -
80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b
^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4
*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*
B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)
/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(13421772
8*a^36*b^46*d^9 + 2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 140324634624*a^42*b^40*d^9 + 57498874
6752*a^44*b^38*d^9 + 1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*d^9 + 8008771829760*a^50*b^32*d^9 +
12280116805632*a^52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598244864*a^56*b^26*d^9 + 13080993988608*a
^58*b^24*d^9 + 8898635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 2135672487936*a^64*b^18*d^9 + 72558
1037568*a^66*b^16*d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^9 + 3758096384*a^72*b^10*d^9 + 20
1326592*a^74*b^8*d^9) - 587202560*A*a^32*b^48*d^8 - 11022630912*A*a^34*b^46*d^8 - 97861500928*A*a^36*b^44*d^8
- 545947385856*A*a^38*b^42*d^8 - 2144363085824*A*a^40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8 - 1431895120281
6*A*a^44*b^36*d^8 - 25781950480384*A*a^46*b^34*d^8 - 37240352800768*A*a^48*b^32*d^8 - 43440607854592*A*a^50*b^
30*d^8 - 40962948595712*A*a^52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^8 - 18723775709184*A*a^56*b^24*d^8 - 87
46768007168*A*a^58*b^22*d^8 - 3015402586112*A*a^60*b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 53468987392*A*a^6
4*b^16*d^8 + 22934454272*A*a^66*b^14*d^8 + 9378463744*A*a^68*b^12*d^8 + 1526726656*A*a^70*b^10*d^8 + 100663296
*A*a^72*b^8*d^8 + 335544320*B*a^33*b^47*d^8 + 6375342080*B*a^35*b^45*d^8 + 57411633152*B*a^37*b^43*d^8 + 32557
8653696*B*a^39*b^41*d^8 + 1302985703424*B*a^41*b^39*d^8 + 3908420239360*B*a^43*b^37*d^8 + 9108686110720*B*a^45
*b^35*d^8 + 16870765756416*B*a^47*b^33*d^8 + 25190117408768*B*a^49*b^31*d^8 + 30574664220672*B*a^51*b^29*d^8 +
30277170626560*B*a^53*b^27*d^8 + 24449436876800*B*a^55*b^25*d^8 + 16024522981376*B*a^57*b^23*d^8 + 8444442574
848*B*a^59*b^21*d^8 + 3523081142272*B*a^61*b^19*d^8 + 1136153067520*B*a^63*b^17*d^8 + 272797532160*B*a^65*b^15
*d^8 + 45835354112*B*a^67*b^13*d^8 + 4798283776*B*a^69*b^11*d^8 + 234881024*B*a^71*b^9*d^8) - (a + b*tan(c + d
*x))^(1/2)*(1284505600*A^2*a^29*b^48*d^7 + 22533898240*A^2*a^31*b^46*d^7 + 186026819584*A^2*a^33*b^44*d^7 + 95
9522537472*A^2*a^35*b^42*d^7 + 3462049824768*A^2*a^37*b^40*d^7 + 9267725729792*A^2*a^39*b^38*d^7 + 19041104166
912*A^2*a^41*b^36*d^7 + 30611456655360*A^2*a^43*b^34*d^7 + 38845460512768*A^2*a^45*b^32*d^7 + 38856883699712*A
^2*a^47*b^30*d^7 + 30191101411328*A^2*a^49*b^28*d^7 + 17505665941504*A^2*a^51*b^26*d^7 + 6756256186368*A^2*a^5
3*b^24*d^7 + 916161822720*A^2*a^55*b^22*d^7 - 795219066880*A^2*a^57*b^20*d^7 - 650033233920*A^2*a^59*b^18*d^7
- 242161287168*A^2*a^61*b^16*d^7 - 46722449408*A^2*a^63*b^14*d^7 - 1836056576*A^2*a^65*b^12*d^7 + 1023410176*A
^2*a^67*b^10*d^7 + 150994944*A^2*a^69*b^8*d^7 + 419430400*B^2*a^31*b^46*d^7 + 7549747200*B^2*a^33*b^44*d^7 + 6
4172851200*B^2*a^35*b^42*d^7 + 341902884864*B^2*a^37*b^40*d^7 + 1279296274432*B^2*a^39*b^38*d^7 + 357233904844
8*B^2*a^41*b^36*d^7 + 7727115927552*B^2*a^43*b^34*d^7 + 13268563263488*B^2*a^45*b^32*d^7 + 18390076882944*B^2*
a^47*b^30*d^7 + 20795761885184*B^2*a^49*b^28*d^7 + 19293899063296*B^2*a^51*b^26*d^7 + 14686674223104*B^2*a^53*
b^24*d^7 + 9110632267776*B^2*a^55*b^22*d^7 + 4534143287296*B^2*a^57*b^20*d^7 + 1759795740672*B^2*a^59*b^18*d^7
+ 507141685248*B^2*a^61*b^16*d^7 + 98935242752*B^2*a^63*b^14*d^7 + 10368319488*B^2*a^65*b^12*d^7 + 16777216*B
^2*a^67*b^10*d^7 - 83886080*B^2*a^69*b^8*d^7 - 1468006400*A*B*a^30*b^47*d^7 - 26088570880*A*B*a^32*b^45*d^7 -
218565181440*A*B*a^34*b^43*d^7 - 1146420723712*A*B*a^36*b^41*d^7 - 4217892765696*A*B*a^38*b^39*d^7 - 115587636
26496*A*B*a^40*b^37*d^7 - 24451349479424*A*B*a^42*b^35*d^7 - 40818563874816*A*B*a^44*b^33*d^7 - 54474697605120
*A*B*a^46*b^31*d^7 - 58438298107904*A*B*a^48*b^29*d^7 - 50283614830592*A*B*a^50*b^27*d^7 - 34280684126208*A*B*
a^52*b^25*d^7 - 17974807232512*A*B*a^54*b^23*d^7 - 6751889915904*A*B*a^56*b^21*d^7 - 1433948651520*A*B*a^58*b^
19*d^7 + 109790101504*A*B*a^60*b^17*d^7 + 209857806336*A*B*a^62*b^15*d^7 + 77661732864*A*B*a^64*b^13*d^7 + 143
69685504*A*B*a^66*b^11*d^7 + 1140850688*A*B*a^68*b^9*d^7))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*
d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B
*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*
a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2
+ 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4
+ b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2) + 29305077760*A^3*a^31*b
^44*d^6 + 205768359936*A^3*a^33*b^42*d^6 + 885212053504*A^3*a^35*b^40*d^6 + 2611820363776*A^3*a^37*b^38*d^6 +
5610907107328*A^3*a^39*b^36*d^6 + 9110711959552*A^3*a^41*b^34*d^6 + 11499686854656*A^3*a^43*b^32*d^6 + 1158966
8306944*A^3*a^45*b^30*d^6 + 9612611813376*A^3*a^47*b^28*d^6 + 6761381625856*A^3*a^49*b^26*d^6 + 4077832372224*
A^3*a^51*b^24*d^6 + 2037334933504*A^3*a^53*b^22*d^6 + 762761445376*A^3*a^55*b^20*d^6 + 166853607424*A^3*a^57*b
^18*d^6 - 4374659072*A^3*a^59*b^16*d^6 - 15236333568*A^3*a^61*b^14*d^6 - 4014473216*A^3*a^63*b^12*d^6 - 276824
064*A^3*a^65*b^10*d^6 + 25165824*A^3*a^67*b^8*d^6 + 209715200*B^3*a^30*b^45*d^6 + 2726297600*B^3*a^32*b^43*d^6
+ 14260633600*B^3*a^34*b^41*d^6 + 31876710400*B^3*a^36*b^39*d^6 - 23672651776*B^3*a^38*b^37*d^6 - 38426535526
4*B^3*a^40*b^35*d^6 - 1314511650816*B^3*a^42*b^33*d^6 - 2706232049664*B^3*a^44*b^31*d^6 - 3843425304576*B^3*a^
46*b^29*d^6 - 3908202135552*B^3*a^48*b^27*d^6 - 2833386569728*B^3*a^50*b^25*d^6 - 1396736786432*B^3*a^52*b^23*
d^6 - 401529110528*B^3*a^54*b^21*d^6 - 23018340352*B^3*a^56*b^19*d^6 + 22464692224*B^3*a^58*b^17*d^6 + 1610612
736*B^3*a^60*b^15*d^6 - 4001366016*B^3*a^62*b^13*d^6 - 1535115264*B^3*a^64*b^11*d^6 - 184549376*B^3*a^66*b^9*d
^6 - 734003200*A*B^2*a^29*b^46*d^6 - 8745123840*A*B^2*a^31*b^44*d^6 - 39007027200*A*B^2*a^33*b^42*d^6 - 439563
05920*A*B^2*a^35*b^40*d^6 + 331945607168*A*B^2*a^37*b^38*d^6 + 1943095214080*A*B^2*a^39*b^36*d^6 + 55569914265
60*A*B^2*a^41*b^34*d^6 + 10438993510400*A*B^2*a^43*b^32*d^6 + 13925928140800*A*B^2*a^45*b^30*d^6 + 13562349092
864*A*B^2*a^47*b^28*d^6 + 9734518210560*A*B^2*a^49*b^26*d^6 + 5232855613440*A*B^2*a^51*b^24*d^6 + 229281628160
0*A*B^2*a^53*b^22*d^6 + 1035531714560*A*B^2*a^55*b^20*d^6 + 547801268224*A*B^2*a^57*b^18*d^6 + 260340449280*A*
B^2*a^59*b^16*d^6 + 84452311040*A*B^2*a^61*b^14*d^6 + 15204352000*A*B^2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b
^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6 + 642252800*A^2*B*a^28*b^47*d^6 + 5853675520*A^2*B*a^30*b^45*d^6 + 78769
02912*A^2*B*a^32*b^43*d^6 - 138240065536*A^2*B*a^34*b^41*d^6 - 1017280200704*A^2*B*a^36*b^39*d^6 - 37440223969
28*A^2*B*a^38*b^37*d^6 - 9034669228032*A^2*B*a^40*b^35*d^6 - 15573756936192*A^2*B*a^42*b^33*d^6 - 199901000499
20*A^2*B*a^44*b^31*d^6 - 19663216967680*A^2*B*a^46*b^29*d^6 - 15338313875456*A^2*B*a^48*b^27*d^6 - 10040245223
424*A^2*B*a^50*b^25*d^6 - 5936376709120*A^2*B*a^52*b^23*d^6 - 3256963039232*A^2*B*a^54*b^21*d^6 - 153380244684
8*A^2*B*a^56*b^19*d^6 - 534383689728*A^2*B*a^58*b^17*d^6 - 109743439872*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B
*a^62*b^13*d^6 + 3409969152*A^2*B*a^64*b^11*d^6 + 553648128*A^2*B*a^66*b^9*d^6))*((((8*A^2*a^5*d^2 - 8*B^2*a^5
*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*
B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 +
160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^
2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4
*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*1i
)/(((a + b*tan(c + d*x))^(1/2)*(321126400*A^4*a^28*b^44*d^5 + 2422210560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^
32*b^40*d^5 - 54989422592*A^4*a^34*b^38*d^5 - 325864914944*A^4*a^36*b^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5
- 2054783238144*A^4*a^40*b^32*d^5 - 2923490705408*A^4*a^42*b^30*d^5 - 2962565365760*A^4*a^44*b^28*d^5 - 20941
50975488*A^4*a^46*b^26*d^5 - 943762440192*A^4*a^48*b^24*d^5 - 175655354368*A^4*a^50*b^22*d^5 + 74523344896*A^4
*a^52*b^20*d^5 + 62081990656*A^4*a^54*b^18*d^5 + 17307795456*A^4*a^56*b^16*d^5 + 1629487104*A^4*a^58*b^14*d^5
+ 44302336*A^4*a^60*b^12*d^5 + 104857600*A^4*a^62*b^10*d^5 + 25165824*A^4*a^64*b^8*d^5 - 104857600*B^4*a^30*b^
42*d^5 - 838860800*B^4*a^32*b^40*d^5 - 838860800*B^4*a^34*b^38*d^5 + 17624465408*B^4*a^36*b^36*d^5 + 114621939
712*B^4*a^38*b^34*d^5 + 382445027328*B^4*a^40*b^32*d^5 + 842753114112*B^4*a^42*b^30*d^5 + 1327925035008*B^4*a^
44*b^28*d^5 + 1546246946816*B^4*a^46*b^26*d^5 + 1344719028224*B^4*a^48*b^24*d^5 + 868489363456*B^4*a^50*b^22*d
^5 + 406872653824*B^4*a^52*b^20*d^5 + 131298492416*B^4*a^54*b^18*d^5 + 26013073408*B^4*a^56*b^16*d^5 + 2214592
512*B^4*a^58*b^14*d^5 - 75497472*B^4*a^60*b^12*d^5 + 12582912*B^4*a^62*b^10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 3
67001600*A*B^3*a^29*b^43*d^5 + 2013265920*A*B^3*a^31*b^41*d^5 - 8640266240*A*B^3*a^33*b^39*d^5 - 126919639040*
A*B^3*a^35*b^37*d^5 - 615681884160*A*B^3*a^37*b^35*d^5 - 1778636554240*A*B^3*a^39*b^33*d^5 - 3473303142400*A*B
^3*a^41*b^31*d^5 - 4786288066560*A*B^3*a^43*b^29*d^5 - 4657334190080*A*B^3*a^45*b^27*d^5 - 3034914488320*A*B^3
*a^47*b^25*d^5 - 1043626721280*A*B^3*a^49*b^23*d^5 + 175573565440*A*B^3*a^51*b^21*d^5 + 438933913600*A*B^3*a^5
3*b^19*d^5 + 258956328960*A*B^3*a^55*b^17*d^5 + 81621155840*A*B^3*a^57*b^15*d^5 + 13170114560*A*B^3*a^59*b^13*
d^5 + 534773760*A*B^3*a^61*b^11*d^5 - 83886080*A*B^3*a^63*b^9*d^5 - 2936012800*A^3*B*a^29*b^43*d^5 - 350748672
00*A^3*B*a^31*b^41*d^5 - 184945737728*A^3*B*a^33*b^39*d^5 - 550328336384*A^3*B*a^35*b^37*d^5 - 939509415936*A^
3*B*a^37*b^35*d^5 - 615843364864*A^3*B*a^39*b^33*d^5 + 1152106102784*A^3*B*a^41*b^31*d^5 + 3885710180352*A^3*B
*a^43*b^29*d^5 + 5769036562432*A^3*B*a^45*b^27*d^5 + 5404966780928*A^3*B*a^47*b^25*d^5 + 3336906473472*A^3*B*a
^49*b^23*d^5 + 1259358650368*A^3*B*a^51*b^21*d^5 + 183016357888*A^3*B*a^53*b^19*d^5 - 67249373184*A^3*B*a^55*b
^17*d^5 - 37419483136*A^3*B*a^57*b^15*d^5 - 4628414464*A^3*B*a^59*b^13*d^5 + 874512384*A^3*B*a^61*b^11*d^5 + 2
18103808*A^3*B*a^63*b^9*d^5 - 321126400*A^2*B^2*a^28*b^44*d^5 + 618659840*A^2*B^2*a^30*b^42*d^5 + 36924555264*
A^2*B^2*a^32*b^40*d^5 + 273177116672*A^2*B^2*a^34*b^38*d^5 + 1058131673088*A^2*B^2*a^36*b^36*d^5 + 25841757061
12*A^2*B^2*a^38*b^34*d^5 + 4186857013248*A^2*B^2*a^40*b^32*d^5 + 4360140488704*A^2*B^2*a^42*b^30*d^5 + 2256018
079744*A^2*B^2*a^44*b^28*d^5 - 932366516224*A^2*B^2*a^46*b^26*d^5 - 2951244414976*A^2*B^2*a^48*b^24*d^5 - 2844
864282624*A^2*B^2*a^50*b^22*d^5 - 1579112464384*A^2*B^2*a^52*b^20*d^5 - 500252540928*A^2*B^2*a^54*b^18*d^5 - 5
2598669312*A^2*B^2*a^56*b^16*d^5 + 21875392512*A^2*B^2*a^58*b^14*d^5 + 8872787968*A^2*B^2*a^60*b^12*d^5 + 1023
410176*A^2*B^2*a^62*b^10*d^5) + ((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 +
16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*
A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^
4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a
*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4
+ 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(1926758400*A^3*a^29*b^46*d^6 - (((((8*A^2*a^5*d^2
- 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d
^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2
*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2
*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 +
40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)
))^(1/2)*(22934454272*A*a^66*b^14*d^8 - 587202560*A*a^32*b^48*d^8 - 11022630912*A*a^34*b^46*d^8 - 97861500928*
A*a^36*b^44*d^8 - 545947385856*A*a^38*b^42*d^8 - 2144363085824*A*a^40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8
- 14318951202816*A*a^44*b^36*d^8 - 25781950480384*A*a^46*b^34*d^8 - 37240352800768*A*a^48*b^32*d^8 - 43440607
854592*A*a^50*b^30*d^8 - 40962948595712*A*a^52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^8 - 18723775709184*A*a^
56*b^24*d^8 - 8746768007168*A*a^58*b^22*d^8 - 3015402586112*A*a^60*b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 5
3468987392*A*a^64*b^16*d^8 - (a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2
+ 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^
4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6
*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 +
8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b
^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*(134217728*a^36*b^46*d^9 +
2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 140324634624*a^42*b^40*d^9 + 574988746752*a^44*b^38*d^9
+ 1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*d^9 + 8008771829760*a^50*b^32*d^9 + 12280116805632*a^
52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598244864*a^56*b^26*d^9 + 13080993988608*a^58*b^24*d^9 + 889
8635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 2135672487936*a^64*b^18*d^9 + 725581037568*a^66*b^16*
d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^9 + 3758096384*a^72*b^10*d^9 + 201326592*a^74*b^8*d
^9) + 9378463744*A*a^68*b^12*d^8 + 1526726656*A*a^70*b^10*d^8 + 100663296*A*a^72*b^8*d^8 + 335544320*B*a^33*b^
47*d^8 + 6375342080*B*a^35*b^45*d^8 + 57411633152*B*a^37*b^43*d^8 + 325578653696*B*a^39*b^41*d^8 + 13029857034
24*B*a^41*b^39*d^8 + 3908420239360*B*a^43*b^37*d^8 + 9108686110720*B*a^45*b^35*d^8 + 16870765756416*B*a^47*b^3
3*d^8 + 25190117408768*B*a^49*b^31*d^8 + 30574664220672*B*a^51*b^29*d^8 + 30277170626560*B*a^53*b^27*d^8 + 244
49436876800*B*a^55*b^25*d^8 + 16024522981376*B*a^57*b^23*d^8 + 8444442574848*B*a^59*b^21*d^8 + 3523081142272*B
*a^61*b^19*d^8 + 1136153067520*B*a^63*b^17*d^8 + 272797532160*B*a^65*b^15*d^8 + 45835354112*B*a^67*b^13*d^8 +
4798283776*B*a^69*b^11*d^8 + 234881024*B*a^71*b^9*d^8) + (a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a^29*b^48*
d^7 + 22533898240*A^2*a^31*b^46*d^7 + 186026819584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7 + 346204
9824768*A^2*a^37*b^40*d^7 + 9267725729792*A^2*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 3061145665536
0*A^2*a^43*b^34*d^7 + 38845460512768*A^2*a^45*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 30191101411328*A^2
*a^49*b^28*d^7 + 17505665941504*A^2*a^51*b^26*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^2*a^55*b^
22*d^7 - 795219066880*A^2*a^57*b^20*d^7 - 650033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16*d^7 - 46
722449408*A^2*a^63*b^14*d^7 - 1836056576*A^2*a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944*A^2*a^69
*b^8*d^7 + 419430400*B^2*a^31*b^46*d^7 + 7549747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7 + 341902
884864*B^2*a^37*b^40*d^7 + 1279296274432*B^2*a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 7727115927552*B
^2*a^43*b^34*d^7 + 13268563263488*B^2*a^45*b^32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 20795761885184*B^2*a^
49*b^28*d^7 + 19293899063296*B^2*a^51*b^26*d^7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2*a^55*b^2
2*d^7 + 4534143287296*B^2*a^57*b^20*d^7 + 1759795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^16*d^7 + 9
8935242752*B^2*a^63*b^14*d^7 + 10368319488*B^2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*B^2*a^69*
b^8*d^7 - 1468006400*A*B*a^30*b^47*d^7 - 26088570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d^7 - 1146
420723712*A*B*a^36*b^41*d^7 - 4217892765696*A*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 24451349479
424*A*B*a^42*b^35*d^7 - 40818563874816*A*B*a^44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 58438298107904*A
*B*a^48*b^29*d^7 - 50283614830592*A*B*a^50*b^27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 17974807232512*A*B*a^
54*b^23*d^7 - 6751889915904*A*B*a^56*b^21*d^7 - 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^60*b^17*d
^7 + 209857806336*A*B*a^62*b^15*d^7 + 77661732864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 + 11408506
88*A*B*a^68*b^9*d^7))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5
*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 +
B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)
+ 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 -
20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b
^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2) + 29305077760*A^3*a^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*
d^6 + 885212053504*A^3*a^35*b^40*d^6 + 2611820363776*A^3*a^37*b^38*d^6 + 5610907107328*A^3*a^39*b^36*d^6 + 911
0711959552*A^3*a^41*b^34*d^6 + 11499686854656*A^3*a^43*b^32*d^6 + 11589668306944*A^3*a^45*b^30*d^6 + 961261181
3376*A^3*a^47*b^28*d^6 + 6761381625856*A^3*a^49*b^26*d^6 + 4077832372224*A^3*a^51*b^24*d^6 + 2037334933504*A^3
*a^53*b^22*d^6 + 762761445376*A^3*a^55*b^20*d^6 + 166853607424*A^3*a^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^
6 - 15236333568*A^3*a^61*b^14*d^6 - 4014473216*A^3*a^63*b^12*d^6 - 276824064*A^3*a^65*b^10*d^6 + 25165824*A^3*
a^67*b^8*d^6 + 209715200*B^3*a^30*b^45*d^6 + 2726297600*B^3*a^32*b^43*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 31
876710400*B^3*a^36*b^39*d^6 - 23672651776*B^3*a^38*b^37*d^6 - 384265355264*B^3*a^40*b^35*d^6 - 1314511650816*B
^3*a^42*b^33*d^6 - 2706232049664*B^3*a^44*b^31*d^6 - 3843425304576*B^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*
b^27*d^6 - 2833386569728*B^3*a^50*b^25*d^6 - 1396736786432*B^3*a^52*b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6
- 23018340352*B^3*a^56*b^19*d^6 + 22464692224*B^3*a^58*b^17*d^6 + 1610612736*B^3*a^60*b^15*d^6 - 4001366016*B^
3*a^62*b^13*d^6 - 1535115264*B^3*a^64*b^11*d^6 - 184549376*B^3*a^66*b^9*d^6 - 734003200*A*B^2*a^29*b^46*d^6 -
8745123840*A*B^2*a^31*b^44*d^6 - 39007027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 + 331945607
168*A*B^2*a^37*b^38*d^6 + 1943095214080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 104389935104
00*A*B^2*a^43*b^32*d^6 + 13925928140800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 97345182105
60*A*B^2*a^49*b^26*d^6 + 5232855613440*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 1035531714560
*A*B^2*a^55*b^20*d^6 + 547801268224*A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 84452311040*A*B^2
*a^61*b^14*d^6 + 15204352000*A*B^2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6
+ 642252800*A^2*B*a^28*b^47*d^6 + 5853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 - 138240065
536*A^2*B*a^34*b^41*d^6 - 1017280200704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 903466922803
2*A^2*B*a^40*b^35*d^6 - 15573756936192*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 196632169676
80*A^2*B*a^46*b^29*d^6 - 15338313875456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 59363767091
20*A^2*B*a^52*b^23*d^6 - 3256963039232*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 534383689728*
A^2*B*a^58*b^17*d^6 - 109743439872*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*B*a^6
4*b^11*d^6 + 553648128*A^2*B*a^66*b^9*d^6))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^
3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4
- (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 8
0*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^
2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*
a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(32112640
0*A^4*a^28*b^44*d^5 + 2422210560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b^38*
d^5 - 325864914944*A^4*a^36*b^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 - 292
3490705408*A^4*a^42*b^30*d^5 - 2962565365760*A^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 94376244019
2*A^4*a^48*b^24*d^5 - 175655354368*A^4*a^50*b^22*d^5 + 74523344896*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^54*b^
18*d^5 + 17307795456*A^4*a^56*b^16*d^5 + 1629487104*A^4*a^58*b^14*d^5 + 44302336*A^4*a^60*b^12*d^5 + 104857600
*A^4*a^62*b^10*d^5 + 25165824*A^4*a^64*b^8*d^5 - 104857600*B^4*a^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^5 - 8
38860800*B^4*a^34*b^38*d^5 + 17624465408*B^4*a^36*b^36*d^5 + 114621939712*B^4*a^38*b^34*d^5 + 382445027328*B^4
*a^40*b^32*d^5 + 842753114112*B^4*a^42*b^30*d^5 + 1327925035008*B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^46*b^2
6*d^5 + 1344719028224*B^4*a^48*b^24*d^5 + 868489363456*B^4*a^50*b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5 + 13
1298492416*B^4*a^54*b^18*d^5 + 26013073408*B^4*a^56*b^16*d^5 + 2214592512*B^4*a^58*b^14*d^5 - 75497472*B^4*a^6
0*b^12*d^5 + 12582912*B^4*a^62*b^10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 367001600*A*B^3*a^29*b^43*d^5 + 201326592
0*A*B^3*a^31*b^41*d^5 - 8640266240*A*B^3*a^33*b^39*d^5 - 126919639040*A*B^3*a^35*b^37*d^5 - 615681884160*A*B^3
*a^37*b^35*d^5 - 1778636554240*A*B^3*a^39*b^33*d^5 - 3473303142400*A*B^3*a^41*b^31*d^5 - 4786288066560*A*B^3*a
^43*b^29*d^5 - 4657334190080*A*B^3*a^45*b^27*d^5 - 3034914488320*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^3*a^4
9*b^23*d^5 + 175573565440*A*B^3*a^51*b^21*d^5 + 438933913600*A*B^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^55*b^1
7*d^5 + 81621155840*A*B^3*a^57*b^15*d^5 + 13170114560*A*B^3*a^59*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5 - 83
886080*A*B^3*a^63*b^9*d^5 - 2936012800*A^3*B*a^29*b^43*d^5 - 35074867200*A^3*B*a^31*b^41*d^5 - 184945737728*A^
3*B*a^33*b^39*d^5 - 550328336384*A^3*B*a^35*b^37*d^5 - 939509415936*A^3*B*a^37*b^35*d^5 - 615843364864*A^3*B*a
^39*b^33*d^5 + 1152106102784*A^3*B*a^41*b^31*d^5 + 3885710180352*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*B*a^4
5*b^27*d^5 + 5404966780928*A^3*B*a^47*b^25*d^5 + 3336906473472*A^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*a^51*
b^21*d^5 + 183016357888*A^3*B*a^53*b^19*d^5 - 67249373184*A^3*B*a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^15*d^
5 - 4628414464*A^3*B*a^59*b^13*d^5 + 874512384*A^3*B*a^61*b^11*d^5 + 218103808*A^3*B*a^63*b^9*d^5 - 321126400*
A^2*B^2*a^28*b^44*d^5 + 618659840*A^2*B^2*a^30*b^42*d^5 + 36924555264*A^2*B^2*a^32*b^40*d^5 + 273177116672*A^2
*B^2*a^34*b^38*d^5 + 1058131673088*A^2*B^2*a^36*b^36*d^5 + 2584175706112*A^2*B^2*a^38*b^34*d^5 + 4186857013248
*A^2*B^2*a^40*b^32*d^5 + 4360140488704*A^2*B^2*a^42*b^30*d^5 + 2256018079744*A^2*B^2*a^44*b^28*d^5 - 932366516
224*A^2*B^2*a^46*b^26*d^5 - 2951244414976*A^2*B^2*a^48*b^24*d^5 - 2844864282624*A^2*B^2*a^50*b^22*d^5 - 157911
2464384*A^2*B^2*a^52*b^20*d^5 - 500252540928*A^2*B^2*a^54*b^18*d^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 + 21875
392512*A^2*B^2*a^58*b^14*d^5 + 8872787968*A^2*B^2*a^60*b^12*d^5 + 1023410176*A^2*B^2*a^62*b^10*d^5) - ((((8*A^
2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B
^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^
4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^
2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2
*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^
8*b^2*d^4)))^(1/2)*(1926758400*A^3*a^29*b^46*d^6 - (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 8
0*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*
d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4
*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*
B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*
d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(((
(8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 -
40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^
10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a
^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*
B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 +
5*a^8*b^2*d^4)))^(1/2)*(134217728*a^36*b^46*d^9 + 2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 1403
24634624*a^42*b^40*d^9 + 574988746752*a^44*b^38*d^9 + 1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*d^
9 + 8008771829760*a^50*b^32*d^9 + 12280116805632*a^52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598244864
*a^56*b^26*d^9 + 13080993988608*a^58*b^24*d^9 + 8898635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 21
35672487936*a^64*b^18*d^9 + 725581037568*a^66*b^16*d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^
9 + 3758096384*a^72*b^10*d^9 + 201326592*a^74*b^8*d^9) - 587202560*A*a^32*b^48*d^8 - 11022630912*A*a^34*b^46*d
^8 - 97861500928*A*a^36*b^44*d^8 - 545947385856*A*a^38*b^42*d^8 - 2144363085824*A*a^40*b^40*d^8 - 629622072934
4*A*a^42*b^38*d^8 - 14318951202816*A*a^44*b^36*d^8 - 25781950480384*A*a^46*b^34*d^8 - 37240352800768*A*a^48*b^
32*d^8 - 43440607854592*A*a^50*b^30*d^8 - 40962948595712*A*a^52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^8 - 18
723775709184*A*a^56*b^24*d^8 - 8746768007168*A*a^58*b^22*d^8 - 3015402586112*A*a^60*b^20*d^8 - 678671941632*A*
a^62*b^18*d^8 - 53468987392*A*a^64*b^16*d^8 + 22934454272*A*a^66*b^14*d^8 + 9378463744*A*a^68*b^12*d^8 + 15267
26656*A*a^70*b^10*d^8 + 100663296*A*a^72*b^8*d^8 + 335544320*B*a^33*b^47*d^8 + 6375342080*B*a^35*b^45*d^8 + 57
411633152*B*a^37*b^43*d^8 + 325578653696*B*a^39*b^41*d^8 + 1302985703424*B*a^41*b^39*d^8 + 3908420239360*B*a^4
3*b^37*d^8 + 9108686110720*B*a^45*b^35*d^8 + 16870765756416*B*a^47*b^33*d^8 + 25190117408768*B*a^49*b^31*d^8 +
30574664220672*B*a^51*b^29*d^8 + 30277170626560*B*a^53*b^27*d^8 + 24449436876800*B*a^55*b^25*d^8 + 1602452298
1376*B*a^57*b^23*d^8 + 8444442574848*B*a^59*b^21*d^8 + 3523081142272*B*a^61*b^19*d^8 + 1136153067520*B*a^63*b^
17*d^8 + 272797532160*B*a^65*b^15*d^8 + 45835354112*B*a^67*b^13*d^8 + 4798283776*B*a^69*b^11*d^8 + 234881024*B
*a^71*b^9*d^8) - (a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a^29*b^48*d^7 + 22533898240*A^2*a^31*b^46*d^7 + 18
6026819584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7 + 3462049824768*A^2*a^37*b^40*d^7 + 926772572979
2*A^2*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 30611456655360*A^2*a^43*b^34*d^7 + 38845460512768*A^2
*a^45*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 30191101411328*A^2*a^49*b^28*d^7 + 17505665941504*A^2*a^51
*b^26*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^2*a^55*b^22*d^7 - 795219066880*A^2*a^57*b^20*d^7
- 650033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16*d^7 - 46722449408*A^2*a^63*b^14*d^7 - 1836056576
*A^2*a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944*A^2*a^69*b^8*d^7 + 419430400*B^2*a^31*b^46*d^7 +
7549747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7 + 341902884864*B^2*a^37*b^40*d^7 + 1279296274432
*B^2*a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 7727115927552*B^2*a^43*b^34*d^7 + 13268563263488*B^2*a^
45*b^32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 20795761885184*B^2*a^49*b^28*d^7 + 19293899063296*B^2*a^51*b^
26*d^7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2*a^55*b^22*d^7 + 4534143287296*B^2*a^57*b^20*d^7
+ 1759795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^16*d^7 + 98935242752*B^2*a^63*b^14*d^7 + 103683194
88*B^2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*B^2*a^69*b^8*d^7 - 1468006400*A*B*a^30*b^47*d^7 -
26088570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d^7 - 1146420723712*A*B*a^36*b^41*d^7 - 4217892765
696*A*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 24451349479424*A*B*a^42*b^35*d^7 - 40818563874816*A
*B*a^44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 58438298107904*A*B*a^48*b^29*d^7 - 50283614830592*A*B*a^
50*b^27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 17974807232512*A*B*a^54*b^23*d^7 - 6751889915904*A*B*a^56*b^2
1*d^7 - 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^60*b^17*d^7 + 209857806336*A*B*a^62*b^15*d^7 + 77
661732864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 + 1140850688*A*B*a^68*b^9*d^7))*((((8*A^2*a^5*d^2
- 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d
^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2
*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2
*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 +
40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4)
))^(1/2) + 29305077760*A^3*a^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*d^6 + 885212053504*A^3*a^35*b^40*d^6 + 2
611820363776*A^3*a^37*b^38*d^6 + 5610907107328*A^3*a^39*b^36*d^6 + 9110711959552*A^3*a^41*b^34*d^6 + 114996868
54656*A^3*a^43*b^32*d^6 + 11589668306944*A^3*a^45*b^30*d^6 + 9612611813376*A^3*a^47*b^28*d^6 + 6761381625856*A
^3*a^49*b^26*d^6 + 4077832372224*A^3*a^51*b^24*d^6 + 2037334933504*A^3*a^53*b^22*d^6 + 762761445376*A^3*a^55*b
^20*d^6 + 166853607424*A^3*a^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^6 - 15236333568*A^3*a^61*b^14*d^6 - 4014
473216*A^3*a^63*b^12*d^6 - 276824064*A^3*a^65*b^10*d^6 + 25165824*A^3*a^67*b^8*d^6 + 209715200*B^3*a^30*b^45*d
^6 + 2726297600*B^3*a^32*b^43*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 31876710400*B^3*a^36*b^39*d^6 - 2367265177
6*B^3*a^38*b^37*d^6 - 384265355264*B^3*a^40*b^35*d^6 - 1314511650816*B^3*a^42*b^33*d^6 - 2706232049664*B^3*a^4
4*b^31*d^6 - 3843425304576*B^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*b^27*d^6 - 2833386569728*B^3*a^50*b^25*d
^6 - 1396736786432*B^3*a^52*b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6 - 23018340352*B^3*a^56*b^19*d^6 + 224646
92224*B^3*a^58*b^17*d^6 + 1610612736*B^3*a^60*b^15*d^6 - 4001366016*B^3*a^62*b^13*d^6 - 1535115264*B^3*a^64*b^
11*d^6 - 184549376*B^3*a^66*b^9*d^6 - 734003200*A*B^2*a^29*b^46*d^6 - 8745123840*A*B^2*a^31*b^44*d^6 - 3900702
7200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 + 331945607168*A*B^2*a^37*b^38*d^6 + 1943095214080*
A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 10438993510400*A*B^2*a^43*b^32*d^6 + 13925928140800*
A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 9734518210560*A*B^2*a^49*b^26*d^6 + 5232855613440*A
*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 1035531714560*A*B^2*a^55*b^20*d^6 + 547801268224*A*B^
2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 84452311040*A*B^2*a^61*b^14*d^6 + 15204352000*A*B^2*a^63*
b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6 + 642252800*A^2*B*a^28*b^47*d^6 + 58536
75520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 - 138240065536*A^2*B*a^34*b^41*d^6 - 1017280200704*
A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 9034669228032*A^2*B*a^40*b^35*d^6 - 15573756936192*A
^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 19663216967680*A^2*B*a^46*b^29*d^6 - 15338313875456*
A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 5936376709120*A^2*B*a^52*b^23*d^6 - 3256963039232*A
^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 534383689728*A^2*B*a^58*b^17*d^6 - 109743439872*A^2*B
*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*B*a^64*b^11*d^6 + 553648128*A^2*B*a^66*b^9*d^
6))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^
4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4
+ 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 -
4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2
- 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^
4*d^4 + 5*a^8*b^2*d^4)))^(1/2) - 321126400*A^5*a^28*b^42*d^4 - 4027842560*A^5*a^30*b^40*d^4 - 22761701376*A^5*
a^32*b^38*d^4 - 75571134464*A^5*a^34*b^36*d^4 - 159328239616*A^5*a^36*b^34*d^4 - 207324708864*A^5*a^38*b^32*d^
4 - 117820358656*A^5*a^40*b^30*d^4 + 122543669248*A^5*a^42*b^28*d^4 + 370779881472*A^5*a^44*b^26*d^4 + 4528005
44768*A^5*a^46*b^24*d^4 + 344539267072*A^5*a^48*b^22*d^4 + 170969530368*A^5*a^50*b^20*d^4 + 50835226624*A^5*a^
52*b^18*d^4 + 5260967936*A^5*a^54*b^16*d^4 - 1976303616*A^5*a^56*b^14*d^4 - 794558464*A^5*a^58*b^12*d^4 - 9017
7536*A^5*a^60*b^10*d^4 + 209715200*B^5*a^31*b^39*d^4 + 2894069760*B^5*a^33*b^37*d^4 + 18496880640*B^5*a^35*b^3
5*d^4 + 72519516160*B^5*a^37*b^33*d^4 + 194657648640*B^5*a^39*b^31*d^4 + 377864847360*B^5*a^41*b^29*d^4 + 5458
04779520*B^5*a^43*b^27*d^4 + 593787617280*B^5*a^45*b^25*d^4 + 485826232320*B^5*a^47*b^23*d^4 + 293894881280*B^
5*a^49*b^21*d^4 + 125954949120*B^5*a^51*b^19*d^4 + 34351349760*B^5*a^53*b^17*d^4 + 3816816640*B^5*a^55*b^15*d^
4 - 880803840*B^5*a^57*b^13*d^4 - 377487360*B^5*a^59*b^11*d^4 - 41943040*B^5*a^61*b^9*d^4 - 838860800*A*B^4*a^
30*b^40*d^4 - 11398021120*A*B^4*a^32*b^38*d^4 - 71508688896*A*B^4*a^34*b^36*d^4 - 274091474944*A*B^4*a^36*b^34
*d^4 - 715271438336*A*B^4*a^38*b^32*d^4 - 1339130118144*A*B^4*a^40*b^30*d^4 - 1843140755456*A*B^4*a^42*b^28*d^
4 - 1873429921792*A*B^4*a^44*b^26*d^4 - 1381905727488*A*B^4*a^46*b^24*d^4 - 697850396672*A*B^4*a^48*b^22*d^4 -
197329420288*A*B^4*a^50*b^20*d^4 + 7442792448*A*B^4*a^52*b^18*d^4 + 32824623104*A*B^4*a^54*b^16*d^4 + 1363777
9456*A*B^4*a^56*b^14*d^4 + 2478833664*A*B^4*a^58*b^12*d^4 + 111149056*A*B^4*a^60*b^10*d^4 - 16777216*A*B^4*a^6
2*b^8*d^4 + 1009254400*A^4*B*a^29*b^41*d^4 + 13385072640*A^4*B*a^31*b^39*d^4 + 81494802432*A^4*B*a^33*b^37*d^4
+ 300677070848*A^4*B*a^35*b^35*d^4 + 746139942912*A^4*B*a^37*b^33*d^4 + 1302774939648*A^4*B*a^39*b^31*d^4 + 1
615897034752*A^4*B*a^41*b^29*d^4 + 1379206692864*A^4*B*a^43*b^27*d^4 + 702423760896*A^4*B*a^45*b^25*d^4 + 4393
4285824*A^4*B*a^47*b^23*d^4 - 253484335104*A^4*B*a^49*b^21*d^4 - 226718908416*A^4*B*a^51*b^19*d^4 - 1035788615
68*A^4*B*a^53*b^17*d^4 - 26137853952*A^4*B*a^55*b^15*d^4 - 2543321088*A^4*B*a^57*b^13*d^4 + 312475648*A^4*B*a^
59*b^11*d^4 + 75497472*A^4*B*a^61*b^9*d^4 + 1009254400*A^2*B^3*a^29*b^41*d^4 + 13594787840*A^2*B^3*a^31*b^39*d
^4 + 84388872192*A^2*B^3*a^33*b^37*d^4 + 319173951488*A^2*B^3*a^35*b^35*d^4 + 818659459072*A^2*B^3*a^37*b^33*d
^4 + 1497432588288*A^2*B^3*a^39*b^31*d^4 + 1993761882112*A^2*B^3*a^41*b^29*d^4 + 1925011472384*A^2*B^3*a^43*b^
27*d^4 + 1296211378176*A^2*B^3*a^45*b^25*d^4 + 529760518144*A^2*B^3*a^47*b^23*d^4 + 40410546176*A^2*B^3*a^49*b
^21*d^4 - 100763959296*A^2*B^3*a^51*b^19*d^4 - 69227511808*A^2*B^3*a^53*b^17*d^4 - 22321037312*A^2*B^3*a^55*b^
15*d^4 - 3424124928*A^2*B^3*a^57*b^13*d^4 - 65011712*A^2*B^3*a^59*b^11*d^4 + 33554432*A^2*B^3*a^61*b^9*d^4 - 3
21126400*A^3*B^2*a^28*b^42*d^4 - 4866703360*A^3*B^2*a^30*b^40*d^4 - 34159722496*A^3*B^2*a^32*b^38*d^4 - 147079
823360*A^3*B^2*a^34*b^36*d^4 - 433419714560*A^3*B^2*a^36*b^34*d^4 - 922596147200*A^3*B^2*a^38*b^32*d^4 - 14569
50476800*A^3*B^2*a^40*b^30*d^4 - 1720597086208*A^3*B^2*a^42*b^28*d^4 - 1502650040320*A^3*B^2*a^44*b^26*d^4 - 9
29105182720*A^3*B^2*a^46*b^24*d^4 - 353311129600*A^3*B^2*a^48*b^22*d^4 - 26359889920*A^3*B^2*a^50*b^20*d^4 + 5
8278019072*A^3*B^2*a^52*b^18*d^4 + 38085591040*A^3*B^2*a^54*b^16*d^4 + 11661475840*A^3*B^2*a^56*b^14*d^4 + 168
4275200*A^3*B^2*a^58*b^12*d^4 + 20971520*A^3*B^2*a^60*b^10*d^4 - 16777216*A^3*B^2*a^62*b^8*d^4))*((((8*A^2*a^5
*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*
b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 8
0*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 4
0*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*
d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2
*d^4)))^(1/2)*2i + (atan(((((a + b*tan(c + d*x))^(1/2)*(321126400*A^4*a^28*b^44*d^5 + 2422210560*A^4*a^30*b^42
*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b^38*d^5 - 325864914944*A^4*a^36*b^36*d^5 - 1011294
928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 - 2923490705408*A^4*a^42*b^30*d^5 - 2962565365760*A
^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 943762440192*A^4*a^48*b^24*d^5 - 175655354368*A^4*a^50*b^
22*d^5 + 74523344896*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^54*b^18*d^5 + 17307795456*A^4*a^56*b^16*d^5 + 16294
87104*A^4*a^58*b^14*d^5 + 44302336*A^4*a^60*b^12*d^5 + 104857600*A^4*a^62*b^10*d^5 + 25165824*A^4*a^64*b^8*d^5
- 104857600*B^4*a^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^5 - 838860800*B^4*a^34*b^38*d^5 + 17624465408*B^4*a
^36*b^36*d^5 + 114621939712*B^4*a^38*b^34*d^5 + 382445027328*B^4*a^40*b^32*d^5 + 842753114112*B^4*a^42*b^30*d^
5 + 1327925035008*B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^46*b^26*d^5 + 1344719028224*B^4*a^48*b^24*d^5 + 8684
89363456*B^4*a^50*b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5 + 131298492416*B^4*a^54*b^18*d^5 + 26013073408*B^4
*a^56*b^16*d^5 + 2214592512*B^4*a^58*b^14*d^5 - 75497472*B^4*a^60*b^12*d^5 + 12582912*B^4*a^62*b^10*d^5 + 8388
608*B^4*a^64*b^8*d^5 + 367001600*A*B^3*a^29*b^43*d^5 + 2013265920*A*B^3*a^31*b^41*d^5 - 8640266240*A*B^3*a^33*
b^39*d^5 - 126919639040*A*B^3*a^35*b^37*d^5 - 615681884160*A*B^3*a^37*b^35*d^5 - 1778636554240*A*B^3*a^39*b^33
*d^5 - 3473303142400*A*B^3*a^41*b^31*d^5 - 4786288066560*A*B^3*a^43*b^29*d^5 - 4657334190080*A*B^3*a^45*b^27*d
^5 - 3034914488320*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^3*a^49*b^23*d^5 + 175573565440*A*B^3*a^51*b^21*d^5
+ 438933913600*A*B^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^55*b^17*d^5 + 81621155840*A*B^3*a^57*b^15*d^5 + 1317
0114560*A*B^3*a^59*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5 - 83886080*A*B^3*a^63*b^9*d^5 - 2936012800*A^3*B*a
^29*b^43*d^5 - 35074867200*A^3*B*a^31*b^41*d^5 - 184945737728*A^3*B*a^33*b^39*d^5 - 550328336384*A^3*B*a^35*b^
37*d^5 - 939509415936*A^3*B*a^37*b^35*d^5 - 615843364864*A^3*B*a^39*b^33*d^5 + 1152106102784*A^3*B*a^41*b^31*d
^5 + 3885710180352*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*B*a^45*b^27*d^5 + 5404966780928*A^3*B*a^47*b^25*d^5
+ 3336906473472*A^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*a^51*b^21*d^5 + 183016357888*A^3*B*a^53*b^19*d^5 -
67249373184*A^3*B*a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^15*d^5 - 4628414464*A^3*B*a^59*b^13*d^5 + 874512384
*A^3*B*a^61*b^11*d^5 + 218103808*A^3*B*a^63*b^9*d^5 - 321126400*A^2*B^2*a^28*b^44*d^5 + 618659840*A^2*B^2*a^30
*b^42*d^5 + 36924555264*A^2*B^2*a^32*b^40*d^5 + 273177116672*A^2*B^2*a^34*b^38*d^5 + 1058131673088*A^2*B^2*a^3
6*b^36*d^5 + 2584175706112*A^2*B^2*a^38*b^34*d^5 + 4186857013248*A^2*B^2*a^40*b^32*d^5 + 4360140488704*A^2*B^2
*a^42*b^30*d^5 + 2256018079744*A^2*B^2*a^44*b^28*d^5 - 932366516224*A^2*B^2*a^46*b^26*d^5 - 2951244414976*A^2*
B^2*a^48*b^24*d^5 - 2844864282624*A^2*B^2*a^50*b^22*d^5 - 1579112464384*A^2*B^2*a^52*b^20*d^5 - 500252540928*A
^2*B^2*a^54*b^18*d^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 + 21875392512*A^2*B^2*a^58*b^14*d^5 + 8872787968*A^2*
B^2*a^60*b^12*d^5 + 1023410176*A^2*B^2*a^62*b^10*d^5) + ((64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 +
400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)*(1926758400*A^3*a^29*b^46*d^6 + 29305077760*A^3*a
^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*d^6 + 885212053504*A^3*a^35*b^40*d^6 + 2611820363776*A^3*a^37*b^38*d
^6 + 5610907107328*A^3*a^39*b^36*d^6 + 9110711959552*A^3*a^41*b^34*d^6 + 11499686854656*A^3*a^43*b^32*d^6 + 11
589668306944*A^3*a^45*b^30*d^6 + 9612611813376*A^3*a^47*b^28*d^6 + 6761381625856*A^3*a^49*b^26*d^6 + 407783237
2224*A^3*a^51*b^24*d^6 + 2037334933504*A^3*a^53*b^22*d^6 + 762761445376*A^3*a^55*b^20*d^6 + 166853607424*A^3*a
^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^6 - 15236333568*A^3*a^61*b^14*d^6 - 4014473216*A^3*a^63*b^12*d^6 - 2
76824064*A^3*a^65*b^10*d^6 + 25165824*A^3*a^67*b^8*d^6 + 209715200*B^3*a^30*b^45*d^6 + 2726297600*B^3*a^32*b^4
3*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 31876710400*B^3*a^36*b^39*d^6 - 23672651776*B^3*a^38*b^37*d^6 - 384265
355264*B^3*a^40*b^35*d^6 - 1314511650816*B^3*a^42*b^33*d^6 - 2706232049664*B^3*a^44*b^31*d^6 - 3843425304576*B
^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*b^27*d^6 - 2833386569728*B^3*a^50*b^25*d^6 - 1396736786432*B^3*a^52*
b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6 - 23018340352*B^3*a^56*b^19*d^6 + 22464692224*B^3*a^58*b^17*d^6 + 16
10612736*B^3*a^60*b^15*d^6 - 4001366016*B^3*a^62*b^13*d^6 - 1535115264*B^3*a^64*b^11*d^6 - 184549376*B^3*a^66*
b^9*d^6 - (((a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a^29*b^48*d^7 + 22533898240*A^2*a^31*b^46*d^7 + 1860268
19584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7 + 3462049824768*A^2*a^37*b^40*d^7 + 9267725729792*A^2
*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 30611456655360*A^2*a^43*b^34*d^7 + 38845460512768*A^2*a^45
*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 30191101411328*A^2*a^49*b^28*d^7 + 17505665941504*A^2*a^51*b^26
*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^2*a^55*b^22*d^7 - 795219066880*A^2*a^57*b^20*d^7 - 650
033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16*d^7 - 46722449408*A^2*a^63*b^14*d^7 - 1836056576*A^2*
a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944*A^2*a^69*b^8*d^7 + 419430400*B^2*a^31*b^46*d^7 + 7549
747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7 + 341902884864*B^2*a^37*b^40*d^7 + 1279296274432*B^2*
a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 7727115927552*B^2*a^43*b^34*d^7 + 13268563263488*B^2*a^45*b^
32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 20795761885184*B^2*a^49*b^28*d^7 + 19293899063296*B^2*a^51*b^26*d^
7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2*a^55*b^22*d^7 + 4534143287296*B^2*a^57*b^20*d^7 + 175
9795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^16*d^7 + 98935242752*B^2*a^63*b^14*d^7 + 10368319488*B^
2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*B^2*a^69*b^8*d^7 - 1468006400*A*B*a^30*b^47*d^7 - 2608
8570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d^7 - 1146420723712*A*B*a^36*b^41*d^7 - 4217892765696*A
*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 24451349479424*A*B*a^42*b^35*d^7 - 40818563874816*A*B*a^
44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 58438298107904*A*B*a^48*b^29*d^7 - 50283614830592*A*B*a^50*b^
27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 17974807232512*A*B*a^54*b^23*d^7 - 6751889915904*A*B*a^56*b^21*d^7
- 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^60*b^17*d^7 + 209857806336*A*B*a^62*b^15*d^7 + 7766173
2864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 + 1140850688*A*B*a^68*b^9*d^7) + ((64*A^2*a^13 + 1225*A
^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)*(22934454272*A*a^
66*b^14*d^8 - 11022630912*A*a^34*b^46*d^8 - 97861500928*A*a^36*b^44*d^8 - 545947385856*A*a^38*b^42*d^8 - 21443
63085824*A*a^40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8 - 14318951202816*A*a^44*b^36*d^8 - 25781950480384*A*a
^46*b^34*d^8 - 37240352800768*A*a^48*b^32*d^8 - 43440607854592*A*a^50*b^30*d^8 - 40962948595712*A*a^52*b^28*d^
8 - 31071504695296*A*a^54*b^26*d^8 - 18723775709184*A*a^56*b^24*d^8 - 8746768007168*A*a^58*b^22*d^8 - 30154025
86112*A*a^60*b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 53468987392*A*a^64*b^16*d^8 - 587202560*A*a^32*b^48*d^8
+ 9378463744*A*a^68*b^12*d^8 + 1526726656*A*a^70*b^10*d^8 + 100663296*A*a^72*b^8*d^8 + 335544320*B*a^33*b^47*
d^8 + 6375342080*B*a^35*b^45*d^8 + 57411633152*B*a^37*b^43*d^8 + 325578653696*B*a^39*b^41*d^8 + 1302985703424*
B*a^41*b^39*d^8 + 3908420239360*B*a^43*b^37*d^8 + 9108686110720*B*a^45*b^35*d^8 + 16870765756416*B*a^47*b^33*d
^8 + 25190117408768*B*a^49*b^31*d^8 + 30574664220672*B*a^51*b^29*d^8 + 30277170626560*B*a^53*b^27*d^8 + 244494
36876800*B*a^55*b^25*d^8 + 16024522981376*B*a^57*b^23*d^8 + 8444442574848*B*a^59*b^21*d^8 + 3523081142272*B*a^
61*b^19*d^8 + 1136153067520*B*a^63*b^17*d^8 + 272797532160*B*a^65*b^15*d^8 + 45835354112*B*a^67*b^13*d^8 + 479
8283776*B*a^69*b^11*d^8 + 234881024*B*a^71*b^9*d^8 - ((a + b*tan(c + d*x))^(1/2)*(64*A^2*a^13 + 1225*A^2*a^9*b
^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)*(134217728*a^36*b^46*d^9
+ 2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 140324634624*a^42*b^40*d^9 + 574988746752*a^44*b^38*d
^9 + 1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*d^9 + 8008771829760*a^50*b^32*d^9 + 12280116805632*
a^52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598244864*a^56*b^26*d^9 + 13080993988608*a^58*b^24*d^9 + 8
898635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 2135672487936*a^64*b^18*d^9 + 725581037568*a^66*b^1
6*d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^9 + 3758096384*a^72*b^10*d^9 + 201326592*a^74*b^8
*d^9))/(8*a^9*d)))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*
a^12*b - 1400*A*B*a^10*b^3)^(1/2))/(8*a^9*d) - 734003200*A*B^2*a^29*b^46*d^6 - 8745123840*A*B^2*a^31*b^44*d^6
- 39007027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 + 331945607168*A*B^2*a^37*b^38*d^6 + 19430
95214080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 10438993510400*A*B^2*a^43*b^32*d^6 + 139259
28140800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 9734518210560*A*B^2*a^49*b^26*d^6 + 523285
5613440*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 1035531714560*A*B^2*a^55*b^20*d^6 + 54780126
8224*A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 84452311040*A*B^2*a^61*b^14*d^6 + 15204352000*A*
B^2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6 + 642252800*A^2*B*a^28*b^47*d^
6 + 5853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 - 138240065536*A^2*B*a^34*b^41*d^6 - 10172
80200704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 9034669228032*A^2*B*a^40*b^35*d^6 - 1557375
6936192*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 19663216967680*A^2*B*a^46*b^29*d^6 - 153383
13875456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 5936376709120*A^2*B*a^52*b^23*d^6 - 325696
3039232*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 534383689728*A^2*B*a^58*b^17*d^6 - 109743439
872*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*B*a^64*b^11*d^6 + 553648128*A^2*B*a^
66*b^9*d^6))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b
- 1400*A*B*a^10*b^3)^(1/2)*1i)/(8*a^9*d) + (((a + b*tan(c + d*x))^(1/2)*(321126400*A^4*a^28*b^44*d^5 + 242221
0560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b^38*d^5 - 325864914944*A^4*a^36*
b^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 - 2923490705408*A^4*a^42*b^30*d^5
- 2962565365760*A^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 943762440192*A^4*a^48*b^24*d^5 - 175655
354368*A^4*a^50*b^22*d^5 + 74523344896*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^54*b^18*d^5 + 17307795456*A^4*a^5
6*b^16*d^5 + 1629487104*A^4*a^58*b^14*d^5 + 44302336*A^4*a^60*b^12*d^5 + 104857600*A^4*a^62*b^10*d^5 + 2516582
4*A^4*a^64*b^8*d^5 - 104857600*B^4*a^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^5 - 838860800*B^4*a^34*b^38*d^5 +
17624465408*B^4*a^36*b^36*d^5 + 114621939712*B^4*a^38*b^34*d^5 + 382445027328*B^4*a^40*b^32*d^5 + 84275311411
2*B^4*a^42*b^30*d^5 + 1327925035008*B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^46*b^26*d^5 + 1344719028224*B^4*a^
48*b^24*d^5 + 868489363456*B^4*a^50*b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5 + 131298492416*B^4*a^54*b^18*d^5
+ 26013073408*B^4*a^56*b^16*d^5 + 2214592512*B^4*a^58*b^14*d^5 - 75497472*B^4*a^60*b^12*d^5 + 12582912*B^4*a^
62*b^10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 367001600*A*B^3*a^29*b^43*d^5 + 2013265920*A*B^3*a^31*b^41*d^5 - 8640
266240*A*B^3*a^33*b^39*d^5 - 126919639040*A*B^3*a^35*b^37*d^5 - 615681884160*A*B^3*a^37*b^35*d^5 - 17786365542
40*A*B^3*a^39*b^33*d^5 - 3473303142400*A*B^3*a^41*b^31*d^5 - 4786288066560*A*B^3*a^43*b^29*d^5 - 4657334190080
*A*B^3*a^45*b^27*d^5 - 3034914488320*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^3*a^49*b^23*d^5 + 175573565440*A*
B^3*a^51*b^21*d^5 + 438933913600*A*B^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^55*b^17*d^5 + 81621155840*A*B^3*a^
57*b^15*d^5 + 13170114560*A*B^3*a^59*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5 - 83886080*A*B^3*a^63*b^9*d^5 -
2936012800*A^3*B*a^29*b^43*d^5 - 35074867200*A^3*B*a^31*b^41*d^5 - 184945737728*A^3*B*a^33*b^39*d^5 - 55032833
6384*A^3*B*a^35*b^37*d^5 - 939509415936*A^3*B*a^37*b^35*d^5 - 615843364864*A^3*B*a^39*b^33*d^5 + 1152106102784
*A^3*B*a^41*b^31*d^5 + 3885710180352*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*B*a^45*b^27*d^5 + 5404966780928*A
^3*B*a^47*b^25*d^5 + 3336906473472*A^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*a^51*b^21*d^5 + 183016357888*A^3*
B*a^53*b^19*d^5 - 67249373184*A^3*B*a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^15*d^5 - 4628414464*A^3*B*a^59*b^
13*d^5 + 874512384*A^3*B*a^61*b^11*d^5 + 218103808*A^3*B*a^63*b^9*d^5 - 321126400*A^2*B^2*a^28*b^44*d^5 + 6186
59840*A^2*B^2*a^30*b^42*d^5 + 36924555264*A^2*B^2*a^32*b^40*d^5 + 273177116672*A^2*B^2*a^34*b^38*d^5 + 1058131
673088*A^2*B^2*a^36*b^36*d^5 + 2584175706112*A^2*B^2*a^38*b^34*d^5 + 4186857013248*A^2*B^2*a^40*b^32*d^5 + 436
0140488704*A^2*B^2*a^42*b^30*d^5 + 2256018079744*A^2*B^2*a^44*b^28*d^5 - 932366516224*A^2*B^2*a^46*b^26*d^5 -
2951244414976*A^2*B^2*a^48*b^24*d^5 - 2844864282624*A^2*B^2*a^50*b^22*d^5 - 1579112464384*A^2*B^2*a^52*b^20*d^
5 - 500252540928*A^2*B^2*a^54*b^18*d^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 + 21875392512*A^2*B^2*a^58*b^14*d^5
+ 8872787968*A^2*B^2*a^60*b^12*d^5 + 1023410176*A^2*B^2*a^62*b^10*d^5) - ((64*A^2*a^13 + 1225*A^2*a^9*b^4 - 5
60*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)*(1926758400*A^3*a^29*b^46*d^6 +
29305077760*A^3*a^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*d^6 + 885212053504*A^3*a^35*b^40*d^6 + 26118203637
76*A^3*a^37*b^38*d^6 + 5610907107328*A^3*a^39*b^36*d^6 + 9110711959552*A^3*a^41*b^34*d^6 + 11499686854656*A^3*
a^43*b^32*d^6 + 11589668306944*A^3*a^45*b^30*d^6 + 9612611813376*A^3*a^47*b^28*d^6 + 6761381625856*A^3*a^49*b^
26*d^6 + 4077832372224*A^3*a^51*b^24*d^6 + 2037334933504*A^3*a^53*b^22*d^6 + 762761445376*A^3*a^55*b^20*d^6 +
166853607424*A^3*a^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^6 - 15236333568*A^3*a^61*b^14*d^6 - 4014473216*A^3
*a^63*b^12*d^6 - 276824064*A^3*a^65*b^10*d^6 + 25165824*A^3*a^67*b^8*d^6 + 209715200*B^3*a^30*b^45*d^6 + 27262
97600*B^3*a^32*b^43*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 31876710400*B^3*a^36*b^39*d^6 - 23672651776*B^3*a^38
*b^37*d^6 - 384265355264*B^3*a^40*b^35*d^6 - 1314511650816*B^3*a^42*b^33*d^6 - 2706232049664*B^3*a^44*b^31*d^6
- 3843425304576*B^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*b^27*d^6 - 2833386569728*B^3*a^50*b^25*d^6 - 13967
36786432*B^3*a^52*b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6 - 23018340352*B^3*a^56*b^19*d^6 + 22464692224*B^3*
a^58*b^17*d^6 + 1610612736*B^3*a^60*b^15*d^6 - 4001366016*B^3*a^62*b^13*d^6 - 1535115264*B^3*a^64*b^11*d^6 - 1
84549376*B^3*a^66*b^9*d^6 + (((a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a^29*b^48*d^7 + 22533898240*A^2*a^31*
b^46*d^7 + 186026819584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7 + 3462049824768*A^2*a^37*b^40*d^7 +
9267725729792*A^2*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 30611456655360*A^2*a^43*b^34*d^7 + 38845
460512768*A^2*a^45*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 30191101411328*A^2*a^49*b^28*d^7 + 1750566594
1504*A^2*a^51*b^26*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^2*a^55*b^22*d^7 - 795219066880*A^2*a
^57*b^20*d^7 - 650033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16*d^7 - 46722449408*A^2*a^63*b^14*d^7
- 1836056576*A^2*a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944*A^2*a^69*b^8*d^7 + 419430400*B^2*a^
31*b^46*d^7 + 7549747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7 + 341902884864*B^2*a^37*b^40*d^7 +
1279296274432*B^2*a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 7727115927552*B^2*a^43*b^34*d^7 + 13268563
263488*B^2*a^45*b^32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 20795761885184*B^2*a^49*b^28*d^7 + 1929389906329
6*B^2*a^51*b^26*d^7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2*a^55*b^22*d^7 + 4534143287296*B^2*a
^57*b^20*d^7 + 1759795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^16*d^7 + 98935242752*B^2*a^63*b^14*d^
7 + 10368319488*B^2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*B^2*a^69*b^8*d^7 - 1468006400*A*B*a^
30*b^47*d^7 - 26088570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d^7 - 1146420723712*A*B*a^36*b^41*d^7
- 4217892765696*A*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 24451349479424*A*B*a^42*b^35*d^7 - 408
18563874816*A*B*a^44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 58438298107904*A*B*a^48*b^29*d^7 - 50283614
830592*A*B*a^50*b^27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 17974807232512*A*B*a^54*b^23*d^7 - 6751889915904
*A*B*a^56*b^21*d^7 - 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^60*b^17*d^7 + 209857806336*A*B*a^62*
b^15*d^7 + 77661732864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 + 1140850688*A*B*a^68*b^9*d^7) - ((64
*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)
*(22934454272*A*a^66*b^14*d^8 - 11022630912*A*a^34*b^46*d^8 - 97861500928*A*a^36*b^44*d^8 - 545947385856*A*a^3
8*b^42*d^8 - 2144363085824*A*a^40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8 - 14318951202816*A*a^44*b^36*d^8 -
25781950480384*A*a^46*b^34*d^8 - 37240352800768*A*a^48*b^32*d^8 - 43440607854592*A*a^50*b^30*d^8 - 40962948595
712*A*a^52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^8 - 18723775709184*A*a^56*b^24*d^8 - 8746768007168*A*a^58*b
^22*d^8 - 3015402586112*A*a^60*b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 53468987392*A*a^64*b^16*d^8 - 5872025
60*A*a^32*b^48*d^8 + 9378463744*A*a^68*b^12*d^8 + 1526726656*A*a^70*b^10*d^8 + 100663296*A*a^72*b^8*d^8 + 3355
44320*B*a^33*b^47*d^8 + 6375342080*B*a^35*b^45*d^8 + 57411633152*B*a^37*b^43*d^8 + 325578653696*B*a^39*b^41*d^
8 + 1302985703424*B*a^41*b^39*d^8 + 3908420239360*B*a^43*b^37*d^8 + 9108686110720*B*a^45*b^35*d^8 + 1687076575
6416*B*a^47*b^33*d^8 + 25190117408768*B*a^49*b^31*d^8 + 30574664220672*B*a^51*b^29*d^8 + 30277170626560*B*a^53
*b^27*d^8 + 24449436876800*B*a^55*b^25*d^8 + 16024522981376*B*a^57*b^23*d^8 + 8444442574848*B*a^59*b^21*d^8 +
3523081142272*B*a^61*b^19*d^8 + 1136153067520*B*a^63*b^17*d^8 + 272797532160*B*a^65*b^15*d^8 + 45835354112*B*a
^67*b^13*d^8 + 4798283776*B*a^69*b^11*d^8 + 234881024*B*a^71*b^9*d^8 + ((a + b*tan(c + d*x))^(1/2)*(64*A^2*a^1
3 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)*(134217
728*a^36*b^46*d^9 + 2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 140324634624*a^42*b^40*d^9 + 574988
746752*a^44*b^38*d^9 + 1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*d^9 + 8008771829760*a^50*b^32*d^9
+ 12280116805632*a^52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598244864*a^56*b^26*d^9 + 13080993988608
*a^58*b^24*d^9 + 8898635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 2135672487936*a^64*b^18*d^9 + 725
581037568*a^66*b^16*d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^9 + 3758096384*a^72*b^10*d^9 +
201326592*a^74*b^8*d^9))/(8*a^9*d)))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a
^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2))/(8*a^9*d) - 734003200*A*B^2*a^29*b^46*d^6 - 8745123840*A*
B^2*a^31*b^44*d^6 - 39007027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 + 331945607168*A*B^2*a^3
7*b^38*d^6 + 1943095214080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 10438993510400*A*B^2*a^43
*b^32*d^6 + 13925928140800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 9734518210560*A*B^2*a^49
*b^26*d^6 + 5232855613440*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 1035531714560*A*B^2*a^55*b
^20*d^6 + 547801268224*A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 84452311040*A*B^2*a^61*b^14*d^
6 + 15204352000*A*B^2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6 + 642252800*
A^2*B*a^28*b^47*d^6 + 5853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 - 138240065536*A^2*B*a^3
4*b^41*d^6 - 1017280200704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 9034669228032*A^2*B*a^40*
b^35*d^6 - 15573756936192*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 19663216967680*A^2*B*a^46
*b^29*d^6 - 15338313875456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 5936376709120*A^2*B*a^52
*b^23*d^6 - 3256963039232*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 534383689728*A^2*B*a^58*b^
17*d^6 - 109743439872*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*B*a^64*b^11*d^6 +
553648128*A^2*B*a^66*b^9*d^6))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^
2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)*1i)/(8*a^9*d))/((((a + b*tan(c + d*x))^(1/2)*(321126400*A^4*a^28
*b^44*d^5 + 2422210560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b^38*d^5 - 3258
64914944*A^4*a^36*b^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 - 2923490705408
*A^4*a^42*b^30*d^5 - 2962565365760*A^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 943762440192*A^4*a^48
*b^24*d^5 - 175655354368*A^4*a^50*b^22*d^5 + 74523344896*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^54*b^18*d^5 + 1
7307795456*A^4*a^56*b^16*d^5 + 1629487104*A^4*a^58*b^14*d^5 + 44302336*A^4*a^60*b^12*d^5 + 104857600*A^4*a^62*
b^10*d^5 + 25165824*A^4*a^64*b^8*d^5 - 104857600*B^4*a^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^5 - 838860800*B
^4*a^34*b^38*d^5 + 17624465408*B^4*a^36*b^36*d^5 + 114621939712*B^4*a^38*b^34*d^5 + 382445027328*B^4*a^40*b^32
*d^5 + 842753114112*B^4*a^42*b^30*d^5 + 1327925035008*B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^46*b^26*d^5 + 13
44719028224*B^4*a^48*b^24*d^5 + 868489363456*B^4*a^50*b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5 + 131298492416
*B^4*a^54*b^18*d^5 + 26013073408*B^4*a^56*b^16*d^5 + 2214592512*B^4*a^58*b^14*d^5 - 75497472*B^4*a^60*b^12*d^5
+ 12582912*B^4*a^62*b^10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 367001600*A*B^3*a^29*b^43*d^5 + 2013265920*A*B^3*a^
31*b^41*d^5 - 8640266240*A*B^3*a^33*b^39*d^5 - 126919639040*A*B^3*a^35*b^37*d^5 - 615681884160*A*B^3*a^37*b^35
*d^5 - 1778636554240*A*B^3*a^39*b^33*d^5 - 3473303142400*A*B^3*a^41*b^31*d^5 - 4786288066560*A*B^3*a^43*b^29*d
^5 - 4657334190080*A*B^3*a^45*b^27*d^5 - 3034914488320*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^3*a^49*b^23*d^5
+ 175573565440*A*B^3*a^51*b^21*d^5 + 438933913600*A*B^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^55*b^17*d^5 + 81
621155840*A*B^3*a^57*b^15*d^5 + 13170114560*A*B^3*a^59*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5 - 83886080*A*B
^3*a^63*b^9*d^5 - 2936012800*A^3*B*a^29*b^43*d^5 - 35074867200*A^3*B*a^31*b^41*d^5 - 184945737728*A^3*B*a^33*b
^39*d^5 - 550328336384*A^3*B*a^35*b^37*d^5 - 939509415936*A^3*B*a^37*b^35*d^5 - 615843364864*A^3*B*a^39*b^33*d
^5 + 1152106102784*A^3*B*a^41*b^31*d^5 + 3885710180352*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*B*a^45*b^27*d^5
+ 5404966780928*A^3*B*a^47*b^25*d^5 + 3336906473472*A^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*a^51*b^21*d^5 +
183016357888*A^3*B*a^53*b^19*d^5 - 67249373184*A^3*B*a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^15*d^5 - 462841
4464*A^3*B*a^59*b^13*d^5 + 874512384*A^3*B*a^61*b^11*d^5 + 218103808*A^3*B*a^63*b^9*d^5 - 321126400*A^2*B^2*a^
28*b^44*d^5 + 618659840*A^2*B^2*a^30*b^42*d^5 + 36924555264*A^2*B^2*a^32*b^40*d^5 + 273177116672*A^2*B^2*a^34*
b^38*d^5 + 1058131673088*A^2*B^2*a^36*b^36*d^5 + 2584175706112*A^2*B^2*a^38*b^34*d^5 + 4186857013248*A^2*B^2*a
^40*b^32*d^5 + 4360140488704*A^2*B^2*a^42*b^30*d^5 + 2256018079744*A^2*B^2*a^44*b^28*d^5 - 932366516224*A^2*B^
2*a^46*b^26*d^5 - 2951244414976*A^2*B^2*a^48*b^24*d^5 - 2844864282624*A^2*B^2*a^50*b^22*d^5 - 1579112464384*A^
2*B^2*a^52*b^20*d^5 - 500252540928*A^2*B^2*a^54*b^18*d^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 + 21875392512*A^2
*B^2*a^58*b^14*d^5 + 8872787968*A^2*B^2*a^60*b^12*d^5 + 1023410176*A^2*B^2*a^62*b^10*d^5) + ((64*A^2*a^13 + 12
25*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)*(1926758400*A
^3*a^29*b^46*d^6 + 29305077760*A^3*a^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*d^6 + 885212053504*A^3*a^35*b^40
*d^6 + 2611820363776*A^3*a^37*b^38*d^6 + 5610907107328*A^3*a^39*b^36*d^6 + 9110711959552*A^3*a^41*b^34*d^6 + 1
1499686854656*A^3*a^43*b^32*d^6 + 11589668306944*A^3*a^45*b^30*d^6 + 9612611813376*A^3*a^47*b^28*d^6 + 6761381
625856*A^3*a^49*b^26*d^6 + 4077832372224*A^3*a^51*b^24*d^6 + 2037334933504*A^3*a^53*b^22*d^6 + 762761445376*A^
3*a^55*b^20*d^6 + 166853607424*A^3*a^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^6 - 15236333568*A^3*a^61*b^14*d^
6 - 4014473216*A^3*a^63*b^12*d^6 - 276824064*A^3*a^65*b^10*d^6 + 25165824*A^3*a^67*b^8*d^6 + 209715200*B^3*a^3
0*b^45*d^6 + 2726297600*B^3*a^32*b^43*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 31876710400*B^3*a^36*b^39*d^6 - 23
672651776*B^3*a^38*b^37*d^6 - 384265355264*B^3*a^40*b^35*d^6 - 1314511650816*B^3*a^42*b^33*d^6 - 2706232049664
*B^3*a^44*b^31*d^6 - 3843425304576*B^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*b^27*d^6 - 2833386569728*B^3*a^5
0*b^25*d^6 - 1396736786432*B^3*a^52*b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6 - 23018340352*B^3*a^56*b^19*d^6
+ 22464692224*B^3*a^58*b^17*d^6 + 1610612736*B^3*a^60*b^15*d^6 - 4001366016*B^3*a^62*b^13*d^6 - 1535115264*B^3
*a^64*b^11*d^6 - 184549376*B^3*a^66*b^9*d^6 - (((a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a^29*b^48*d^7 + 225
33898240*A^2*a^31*b^46*d^7 + 186026819584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7 + 3462049824768*A
^2*a^37*b^40*d^7 + 9267725729792*A^2*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 30611456655360*A^2*a^4
3*b^34*d^7 + 38845460512768*A^2*a^45*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 30191101411328*A^2*a^49*b^2
8*d^7 + 17505665941504*A^2*a^51*b^26*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^2*a^55*b^22*d^7 -
795219066880*A^2*a^57*b^20*d^7 - 650033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16*d^7 - 46722449408
*A^2*a^63*b^14*d^7 - 1836056576*A^2*a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944*A^2*a^69*b^8*d^7
+ 419430400*B^2*a^31*b^46*d^7 + 7549747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7 + 341902884864*B^
2*a^37*b^40*d^7 + 1279296274432*B^2*a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 7727115927552*B^2*a^43*b
^34*d^7 + 13268563263488*B^2*a^45*b^32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 20795761885184*B^2*a^49*b^28*d
^7 + 19293899063296*B^2*a^51*b^26*d^7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2*a^55*b^22*d^7 + 4
534143287296*B^2*a^57*b^20*d^7 + 1759795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^16*d^7 + 9893524275
2*B^2*a^63*b^14*d^7 + 10368319488*B^2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*B^2*a^69*b^8*d^7 -
1468006400*A*B*a^30*b^47*d^7 - 26088570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d^7 - 1146420723712
*A*B*a^36*b^41*d^7 - 4217892765696*A*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 24451349479424*A*B*a
^42*b^35*d^7 - 40818563874816*A*B*a^44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 58438298107904*A*B*a^48*b
^29*d^7 - 50283614830592*A*B*a^50*b^27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 17974807232512*A*B*a^54*b^23*d
^7 - 6751889915904*A*B*a^56*b^21*d^7 - 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^60*b^17*d^7 + 2098
57806336*A*B*a^62*b^15*d^7 + 77661732864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 + 1140850688*A*B*a^
68*b^9*d^7) + ((64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A
*B*a^10*b^3)^(1/2)*(22934454272*A*a^66*b^14*d^8 - 11022630912*A*a^34*b^46*d^8 - 97861500928*A*a^36*b^44*d^8 -
545947385856*A*a^38*b^42*d^8 - 2144363085824*A*a^40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8 - 14318951202816*
A*a^44*b^36*d^8 - 25781950480384*A*a^46*b^34*d^8 - 37240352800768*A*a^48*b^32*d^8 - 43440607854592*A*a^50*b^30
*d^8 - 40962948595712*A*a^52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^8 - 18723775709184*A*a^56*b^24*d^8 - 8746
768007168*A*a^58*b^22*d^8 - 3015402586112*A*a^60*b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 53468987392*A*a^64*
b^16*d^8 - 587202560*A*a^32*b^48*d^8 + 9378463744*A*a^68*b^12*d^8 + 1526726656*A*a^70*b^10*d^8 + 100663296*A*a
^72*b^8*d^8 + 335544320*B*a^33*b^47*d^8 + 6375342080*B*a^35*b^45*d^8 + 57411633152*B*a^37*b^43*d^8 + 325578653
696*B*a^39*b^41*d^8 + 1302985703424*B*a^41*b^39*d^8 + 3908420239360*B*a^43*b^37*d^8 + 9108686110720*B*a^45*b^3
5*d^8 + 16870765756416*B*a^47*b^33*d^8 + 25190117408768*B*a^49*b^31*d^8 + 30574664220672*B*a^51*b^29*d^8 + 302
77170626560*B*a^53*b^27*d^8 + 24449436876800*B*a^55*b^25*d^8 + 16024522981376*B*a^57*b^23*d^8 + 8444442574848*
B*a^59*b^21*d^8 + 3523081142272*B*a^61*b^19*d^8 + 1136153067520*B*a^63*b^17*d^8 + 272797532160*B*a^65*b^15*d^8
+ 45835354112*B*a^67*b^13*d^8 + 4798283776*B*a^69*b^11*d^8 + 234881024*B*a^71*b^9*d^8 - ((a + b*tan(c + d*x))
^(1/2)*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*
b^3)^(1/2)*(134217728*a^36*b^46*d^9 + 2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 140324634624*a^42
*b^40*d^9 + 574988746752*a^44*b^38*d^9 + 1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*d^9 + 800877182
9760*a^50*b^32*d^9 + 12280116805632*a^52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598244864*a^56*b^26*d^
9 + 13080993988608*a^58*b^24*d^9 + 8898635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 2135672487936*a
^64*b^18*d^9 + 725581037568*a^66*b^16*d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^9 + 375809638
4*a^72*b^10*d^9 + 201326592*a^74*b^8*d^9))/(8*a^9*d)))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^
11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2))/(8*a^9*d) - 734003200*A*B^2*a^29*b^46*d
^6 - 8745123840*A*B^2*a^31*b^44*d^6 - 39007027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 + 3319
45607168*A*B^2*a^37*b^38*d^6 + 1943095214080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 1043899
3510400*A*B^2*a^43*b^32*d^6 + 13925928140800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 973451
8210560*A*B^2*a^49*b^26*d^6 + 5232855613440*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 10355317
14560*A*B^2*a^55*b^20*d^6 + 547801268224*A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 84452311040*
A*B^2*a^61*b^14*d^6 + 15204352000*A*B^2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^
8*d^6 + 642252800*A^2*B*a^28*b^47*d^6 + 5853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 - 1382
40065536*A^2*B*a^34*b^41*d^6 - 1017280200704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 9034669
228032*A^2*B*a^40*b^35*d^6 - 15573756936192*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 1966321
6967680*A^2*B*a^46*b^29*d^6 - 15338313875456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 593637
6709120*A^2*B*a^52*b^23*d^6 - 3256963039232*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 53438368
9728*A^2*B*a^58*b^17*d^6 - 109743439872*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*
B*a^64*b^11*d^6 + 553648128*A^2*B*a^66*b^9*d^6))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2
+ 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2))/(8*a^9*d) - (((a + b*tan(c + d*x))^(1/2)*(321
126400*A^4*a^28*b^44*d^5 + 2422210560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*
b^38*d^5 - 325864914944*A^4*a^36*b^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5
- 2923490705408*A^4*a^42*b^30*d^5 - 2962565365760*A^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 943762
440192*A^4*a^48*b^24*d^5 - 175655354368*A^4*a^50*b^22*d^5 + 74523344896*A^4*a^52*b^20*d^5 + 62081990656*A^4*a^
54*b^18*d^5 + 17307795456*A^4*a^56*b^16*d^5 + 1629487104*A^4*a^58*b^14*d^5 + 44302336*A^4*a^60*b^12*d^5 + 1048
57600*A^4*a^62*b^10*d^5 + 25165824*A^4*a^64*b^8*d^5 - 104857600*B^4*a^30*b^42*d^5 - 838860800*B^4*a^32*b^40*d^
5 - 838860800*B^4*a^34*b^38*d^5 + 17624465408*B^4*a^36*b^36*d^5 + 114621939712*B^4*a^38*b^34*d^5 + 38244502732
8*B^4*a^40*b^32*d^5 + 842753114112*B^4*a^42*b^30*d^5 + 1327925035008*B^4*a^44*b^28*d^5 + 1546246946816*B^4*a^4
6*b^26*d^5 + 1344719028224*B^4*a^48*b^24*d^5 + 868489363456*B^4*a^50*b^22*d^5 + 406872653824*B^4*a^52*b^20*d^5
+ 131298492416*B^4*a^54*b^18*d^5 + 26013073408*B^4*a^56*b^16*d^5 + 2214592512*B^4*a^58*b^14*d^5 - 75497472*B^
4*a^60*b^12*d^5 + 12582912*B^4*a^62*b^10*d^5 + 8388608*B^4*a^64*b^8*d^5 + 367001600*A*B^3*a^29*b^43*d^5 + 2013
265920*A*B^3*a^31*b^41*d^5 - 8640266240*A*B^3*a^33*b^39*d^5 - 126919639040*A*B^3*a^35*b^37*d^5 - 615681884160*
A*B^3*a^37*b^35*d^5 - 1778636554240*A*B^3*a^39*b^33*d^5 - 3473303142400*A*B^3*a^41*b^31*d^5 - 4786288066560*A*
B^3*a^43*b^29*d^5 - 4657334190080*A*B^3*a^45*b^27*d^5 - 3034914488320*A*B^3*a^47*b^25*d^5 - 1043626721280*A*B^
3*a^49*b^23*d^5 + 175573565440*A*B^3*a^51*b^21*d^5 + 438933913600*A*B^3*a^53*b^19*d^5 + 258956328960*A*B^3*a^5
5*b^17*d^5 + 81621155840*A*B^3*a^57*b^15*d^5 + 13170114560*A*B^3*a^59*b^13*d^5 + 534773760*A*B^3*a^61*b^11*d^5
- 83886080*A*B^3*a^63*b^9*d^5 - 2936012800*A^3*B*a^29*b^43*d^5 - 35074867200*A^3*B*a^31*b^41*d^5 - 1849457377
28*A^3*B*a^33*b^39*d^5 - 550328336384*A^3*B*a^35*b^37*d^5 - 939509415936*A^3*B*a^37*b^35*d^5 - 615843364864*A^
3*B*a^39*b^33*d^5 + 1152106102784*A^3*B*a^41*b^31*d^5 + 3885710180352*A^3*B*a^43*b^29*d^5 + 5769036562432*A^3*
B*a^45*b^27*d^5 + 5404966780928*A^3*B*a^47*b^25*d^5 + 3336906473472*A^3*B*a^49*b^23*d^5 + 1259358650368*A^3*B*
a^51*b^21*d^5 + 183016357888*A^3*B*a^53*b^19*d^5 - 67249373184*A^3*B*a^55*b^17*d^5 - 37419483136*A^3*B*a^57*b^
15*d^5 - 4628414464*A^3*B*a^59*b^13*d^5 + 874512384*A^3*B*a^61*b^11*d^5 + 218103808*A^3*B*a^63*b^9*d^5 - 32112
6400*A^2*B^2*a^28*b^44*d^5 + 618659840*A^2*B^2*a^30*b^42*d^5 + 36924555264*A^2*B^2*a^32*b^40*d^5 + 27317711667
2*A^2*B^2*a^34*b^38*d^5 + 1058131673088*A^2*B^2*a^36*b^36*d^5 + 2584175706112*A^2*B^2*a^38*b^34*d^5 + 41868570
13248*A^2*B^2*a^40*b^32*d^5 + 4360140488704*A^2*B^2*a^42*b^30*d^5 + 2256018079744*A^2*B^2*a^44*b^28*d^5 - 9323
66516224*A^2*B^2*a^46*b^26*d^5 - 2951244414976*A^2*B^2*a^48*b^24*d^5 - 2844864282624*A^2*B^2*a^50*b^22*d^5 - 1
579112464384*A^2*B^2*a^52*b^20*d^5 - 500252540928*A^2*B^2*a^54*b^18*d^5 - 52598669312*A^2*B^2*a^56*b^16*d^5 +
21875392512*A^2*B^2*a^58*b^14*d^5 + 8872787968*A^2*B^2*a^60*b^12*d^5 + 1023410176*A^2*B^2*a^62*b^10*d^5) - ((6
4*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2
)*(1926758400*A^3*a^29*b^46*d^6 + 29305077760*A^3*a^31*b^44*d^6 + 205768359936*A^3*a^33*b^42*d^6 + 88521205350
4*A^3*a^35*b^40*d^6 + 2611820363776*A^3*a^37*b^38*d^6 + 5610907107328*A^3*a^39*b^36*d^6 + 9110711959552*A^3*a^
41*b^34*d^6 + 11499686854656*A^3*a^43*b^32*d^6 + 11589668306944*A^3*a^45*b^30*d^6 + 9612611813376*A^3*a^47*b^2
8*d^6 + 6761381625856*A^3*a^49*b^26*d^6 + 4077832372224*A^3*a^51*b^24*d^6 + 2037334933504*A^3*a^53*b^22*d^6 +
762761445376*A^3*a^55*b^20*d^6 + 166853607424*A^3*a^57*b^18*d^6 - 4374659072*A^3*a^59*b^16*d^6 - 15236333568*A
^3*a^61*b^14*d^6 - 4014473216*A^3*a^63*b^12*d^6 - 276824064*A^3*a^65*b^10*d^6 + 25165824*A^3*a^67*b^8*d^6 + 20
9715200*B^3*a^30*b^45*d^6 + 2726297600*B^3*a^32*b^43*d^6 + 14260633600*B^3*a^34*b^41*d^6 + 31876710400*B^3*a^3
6*b^39*d^6 - 23672651776*B^3*a^38*b^37*d^6 - 384265355264*B^3*a^40*b^35*d^6 - 1314511650816*B^3*a^42*b^33*d^6
- 2706232049664*B^3*a^44*b^31*d^6 - 3843425304576*B^3*a^46*b^29*d^6 - 3908202135552*B^3*a^48*b^27*d^6 - 283338
6569728*B^3*a^50*b^25*d^6 - 1396736786432*B^3*a^52*b^23*d^6 - 401529110528*B^3*a^54*b^21*d^6 - 23018340352*B^3
*a^56*b^19*d^6 + 22464692224*B^3*a^58*b^17*d^6 + 1610612736*B^3*a^60*b^15*d^6 - 4001366016*B^3*a^62*b^13*d^6 -
1535115264*B^3*a^64*b^11*d^6 - 184549376*B^3*a^66*b^9*d^6 + (((a + b*tan(c + d*x))^(1/2)*(1284505600*A^2*a^29
*b^48*d^7 + 22533898240*A^2*a^31*b^46*d^7 + 186026819584*A^2*a^33*b^44*d^7 + 959522537472*A^2*a^35*b^42*d^7 +
3462049824768*A^2*a^37*b^40*d^7 + 9267725729792*A^2*a^39*b^38*d^7 + 19041104166912*A^2*a^41*b^36*d^7 + 3061145
6655360*A^2*a^43*b^34*d^7 + 38845460512768*A^2*a^45*b^32*d^7 + 38856883699712*A^2*a^47*b^30*d^7 + 301911014113
28*A^2*a^49*b^28*d^7 + 17505665941504*A^2*a^51*b^26*d^7 + 6756256186368*A^2*a^53*b^24*d^7 + 916161822720*A^2*a
^55*b^22*d^7 - 795219066880*A^2*a^57*b^20*d^7 - 650033233920*A^2*a^59*b^18*d^7 - 242161287168*A^2*a^61*b^16*d^
7 - 46722449408*A^2*a^63*b^14*d^7 - 1836056576*A^2*a^65*b^12*d^7 + 1023410176*A^2*a^67*b^10*d^7 + 150994944*A^
2*a^69*b^8*d^7 + 419430400*B^2*a^31*b^46*d^7 + 7549747200*B^2*a^33*b^44*d^7 + 64172851200*B^2*a^35*b^42*d^7 +
341902884864*B^2*a^37*b^40*d^7 + 1279296274432*B^2*a^39*b^38*d^7 + 3572339048448*B^2*a^41*b^36*d^7 + 772711592
7552*B^2*a^43*b^34*d^7 + 13268563263488*B^2*a^45*b^32*d^7 + 18390076882944*B^2*a^47*b^30*d^7 + 20795761885184*
B^2*a^49*b^28*d^7 + 19293899063296*B^2*a^51*b^26*d^7 + 14686674223104*B^2*a^53*b^24*d^7 + 9110632267776*B^2*a^
55*b^22*d^7 + 4534143287296*B^2*a^57*b^20*d^7 + 1759795740672*B^2*a^59*b^18*d^7 + 507141685248*B^2*a^61*b^16*d
^7 + 98935242752*B^2*a^63*b^14*d^7 + 10368319488*B^2*a^65*b^12*d^7 + 16777216*B^2*a^67*b^10*d^7 - 83886080*B^2
*a^69*b^8*d^7 - 1468006400*A*B*a^30*b^47*d^7 - 26088570880*A*B*a^32*b^45*d^7 - 218565181440*A*B*a^34*b^43*d^7
- 1146420723712*A*B*a^36*b^41*d^7 - 4217892765696*A*B*a^38*b^39*d^7 - 11558763626496*A*B*a^40*b^37*d^7 - 24451
349479424*A*B*a^42*b^35*d^7 - 40818563874816*A*B*a^44*b^33*d^7 - 54474697605120*A*B*a^46*b^31*d^7 - 5843829810
7904*A*B*a^48*b^29*d^7 - 50283614830592*A*B*a^50*b^27*d^7 - 34280684126208*A*B*a^52*b^25*d^7 - 17974807232512*
A*B*a^54*b^23*d^7 - 6751889915904*A*B*a^56*b^21*d^7 - 1433948651520*A*B*a^58*b^19*d^7 + 109790101504*A*B*a^60*
b^17*d^7 + 209857806336*A*B*a^62*b^15*d^7 + 77661732864*A*B*a^64*b^13*d^7 + 14369685504*A*B*a^66*b^11*d^7 + 11
40850688*A*B*a^68*b^9*d^7) - ((64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*
a^12*b - 1400*A*B*a^10*b^3)^(1/2)*(22934454272*A*a^66*b^14*d^8 - 11022630912*A*a^34*b^46*d^8 - 97861500928*A*a
^36*b^44*d^8 - 545947385856*A*a^38*b^42*d^8 - 2144363085824*A*a^40*b^40*d^8 - 6296220729344*A*a^42*b^38*d^8 -
14318951202816*A*a^44*b^36*d^8 - 25781950480384*A*a^46*b^34*d^8 - 37240352800768*A*a^48*b^32*d^8 - 43440607854
592*A*a^50*b^30*d^8 - 40962948595712*A*a^52*b^28*d^8 - 31071504695296*A*a^54*b^26*d^8 - 18723775709184*A*a^56*
b^24*d^8 - 8746768007168*A*a^58*b^22*d^8 - 3015402586112*A*a^60*b^20*d^8 - 678671941632*A*a^62*b^18*d^8 - 5346
8987392*A*a^64*b^16*d^8 - 587202560*A*a^32*b^48*d^8 + 9378463744*A*a^68*b^12*d^8 + 1526726656*A*a^70*b^10*d^8
+ 100663296*A*a^72*b^8*d^8 + 335544320*B*a^33*b^47*d^8 + 6375342080*B*a^35*b^45*d^8 + 57411633152*B*a^37*b^43*
d^8 + 325578653696*B*a^39*b^41*d^8 + 1302985703424*B*a^41*b^39*d^8 + 3908420239360*B*a^43*b^37*d^8 + 910868611
0720*B*a^45*b^35*d^8 + 16870765756416*B*a^47*b^33*d^8 + 25190117408768*B*a^49*b^31*d^8 + 30574664220672*B*a^51
*b^29*d^8 + 30277170626560*B*a^53*b^27*d^8 + 24449436876800*B*a^55*b^25*d^8 + 16024522981376*B*a^57*b^23*d^8 +
8444442574848*B*a^59*b^21*d^8 + 3523081142272*B*a^61*b^19*d^8 + 1136153067520*B*a^63*b^17*d^8 + 272797532160*
B*a^65*b^15*d^8 + 45835354112*B*a^67*b^13*d^8 + 4798283776*B*a^69*b^11*d^8 + 234881024*B*a^71*b^9*d^8 + ((a +
b*tan(c + d*x))^(1/2)*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b -
1400*A*B*a^10*b^3)^(1/2)*(134217728*a^36*b^46*d^9 + 2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 14
0324634624*a^42*b^40*d^9 + 574988746752*a^44*b^38*d^9 + 1766036865024*a^46*b^36*d^9 + 4216584142848*a^48*b^34*
d^9 + 8008771829760*a^50*b^32*d^9 + 12280116805632*a^52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 156615982448
64*a^56*b^26*d^9 + 13080993988608*a^58*b^24*d^9 + 8898635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 +
2135672487936*a^64*b^18*d^9 + 725581037568*a^66*b^16*d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*
d^9 + 3758096384*a^72*b^10*d^9 + 201326592*a^74*b^8*d^9))/(8*a^9*d)))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b
^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2))/(8*a^9*d) - 734003200*A*
B^2*a^29*b^46*d^6 - 8745123840*A*B^2*a^31*b^44*d^6 - 39007027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*
b^40*d^6 + 331945607168*A*B^2*a^37*b^38*d^6 + 1943095214080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^3
4*d^6 + 10438993510400*A*B^2*a^43*b^32*d^6 + 13925928140800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^
28*d^6 + 9734518210560*A*B^2*a^49*b^26*d^6 + 5232855613440*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22
*d^6 + 1035531714560*A*B^2*a^55*b^20*d^6 + 547801268224*A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6
+ 84452311040*A*B^2*a^61*b^14*d^6 + 15204352000*A*B^2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 7549747
2*A*B^2*a^67*b^8*d^6 + 642252800*A^2*B*a^28*b^47*d^6 + 5853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*
b^43*d^6 - 138240065536*A^2*B*a^34*b^41*d^6 - 1017280200704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^3
7*d^6 - 9034669228032*A^2*B*a^40*b^35*d^6 - 15573756936192*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^3
1*d^6 - 19663216967680*A^2*B*a^46*b^29*d^6 - 15338313875456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^
25*d^6 - 5936376709120*A^2*B*a^52*b^23*d^6 - 3256963039232*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19
*d^6 - 534383689728*A^2*B*a^58*b^17*d^6 - 109743439872*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 +
3409969152*A^2*B*a^64*b^11*d^6 + 553648128*A^2*B*a^66*b^9*d^6))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 5
60*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2))/(8*a^9*d) - 321126400*A^5*a^28
*b^42*d^4 - 4027842560*A^5*a^30*b^40*d^4 - 22761701376*A^5*a^32*b^38*d^4 - 75571134464*A^5*a^34*b^36*d^4 - 159
328239616*A^5*a^36*b^34*d^4 - 207324708864*A^5*a^38*b^32*d^4 - 117820358656*A^5*a^40*b^30*d^4 + 122543669248*A
^5*a^42*b^28*d^4 + 370779881472*A^5*a^44*b^26*d^4 + 452800544768*A^5*a^46*b^24*d^4 + 344539267072*A^5*a^48*b^2
2*d^4 + 170969530368*A^5*a^50*b^20*d^4 + 50835226624*A^5*a^52*b^18*d^4 + 5260967936*A^5*a^54*b^16*d^4 - 197630
3616*A^5*a^56*b^14*d^4 - 794558464*A^5*a^58*b^12*d^4 - 90177536*A^5*a^60*b^10*d^4 + 209715200*B^5*a^31*b^39*d^
4 + 2894069760*B^5*a^33*b^37*d^4 + 18496880640*B^5*a^35*b^35*d^4 + 72519516160*B^5*a^37*b^33*d^4 + 19465764864
0*B^5*a^39*b^31*d^4 + 377864847360*B^5*a^41*b^29*d^4 + 545804779520*B^5*a^43*b^27*d^4 + 593787617280*B^5*a^45*
b^25*d^4 + 485826232320*B^5*a^47*b^23*d^4 + 293894881280*B^5*a^49*b^21*d^4 + 125954949120*B^5*a^51*b^19*d^4 +
34351349760*B^5*a^53*b^17*d^4 + 3816816640*B^5*a^55*b^15*d^4 - 880803840*B^5*a^57*b^13*d^4 - 377487360*B^5*a^5
9*b^11*d^4 - 41943040*B^5*a^61*b^9*d^4 - 838860800*A*B^4*a^30*b^40*d^4 - 11398021120*A*B^4*a^32*b^38*d^4 - 715
08688896*A*B^4*a^34*b^36*d^4 - 274091474944*A*B^4*a^36*b^34*d^4 - 715271438336*A*B^4*a^38*b^32*d^4 - 133913011
8144*A*B^4*a^40*b^30*d^4 - 1843140755456*A*B^4*a^42*b^28*d^4 - 1873429921792*A*B^4*a^44*b^26*d^4 - 13819057274
88*A*B^4*a^46*b^24*d^4 - 697850396672*A*B^4*a^48*b^22*d^4 - 197329420288*A*B^4*a^50*b^20*d^4 + 7442792448*A*B^
4*a^52*b^18*d^4 + 32824623104*A*B^4*a^54*b^16*d^4 + 13637779456*A*B^4*a^56*b^14*d^4 + 2478833664*A*B^4*a^58*b^
12*d^4 + 111149056*A*B^4*a^60*b^10*d^4 - 16777216*A*B^4*a^62*b^8*d^4 + 1009254400*A^4*B*a^29*b^41*d^4 + 133850
72640*A^4*B*a^31*b^39*d^4 + 81494802432*A^4*B*a^33*b^37*d^4 + 300677070848*A^4*B*a^35*b^35*d^4 + 746139942912*
A^4*B*a^37*b^33*d^4 + 1302774939648*A^4*B*a^39*b^31*d^4 + 1615897034752*A^4*B*a^41*b^29*d^4 + 1379206692864*A^
4*B*a^43*b^27*d^4 + 702423760896*A^4*B*a^45*b^25*d^4 + 43934285824*A^4*B*a^47*b^23*d^4 - 253484335104*A^4*B*a^
49*b^21*d^4 - 226718908416*A^4*B*a^51*b^19*d^4 - 103578861568*A^4*B*a^53*b^17*d^4 - 26137853952*A^4*B*a^55*b^1
5*d^4 - 2543321088*A^4*B*a^57*b^13*d^4 + 312475648*A^4*B*a^59*b^11*d^4 + 75497472*A^4*B*a^61*b^9*d^4 + 1009254
400*A^2*B^3*a^29*b^41*d^4 + 13594787840*A^2*B^3*a^31*b^39*d^4 + 84388872192*A^2*B^3*a^33*b^37*d^4 + 3191739514
88*A^2*B^3*a^35*b^35*d^4 + 818659459072*A^2*B^3*a^37*b^33*d^4 + 1497432588288*A^2*B^3*a^39*b^31*d^4 + 19937618
82112*A^2*B^3*a^41*b^29*d^4 + 1925011472384*A^2*B^3*a^43*b^27*d^4 + 1296211378176*A^2*B^3*a^45*b^25*d^4 + 5297
60518144*A^2*B^3*a^47*b^23*d^4 + 40410546176*A^2*B^3*a^49*b^21*d^4 - 100763959296*A^2*B^3*a^51*b^19*d^4 - 6922
7511808*A^2*B^3*a^53*b^17*d^4 - 22321037312*A^2*B^3*a^55*b^15*d^4 - 3424124928*A^2*B^3*a^57*b^13*d^4 - 6501171
2*A^2*B^3*a^59*b^11*d^4 + 33554432*A^2*B^3*a^61*b^9*d^4 - 321126400*A^3*B^2*a^28*b^42*d^4 - 4866703360*A^3*B^2
*a^30*b^40*d^4 - 34159722496*A^3*B^2*a^32*b^38*d^4 - 147079823360*A^3*B^2*a^34*b^36*d^4 - 433419714560*A^3*B^2
*a^36*b^34*d^4 - 922596147200*A^3*B^2*a^38*b^32*d^4 - 1456950476800*A^3*B^2*a^40*b^30*d^4 - 1720597086208*A^3*
B^2*a^42*b^28*d^4 - 1502650040320*A^3*B^2*a^44*b^26*d^4 - 929105182720*A^3*B^2*a^46*b^24*d^4 - 353311129600*A^
3*B^2*a^48*b^22*d^4 - 26359889920*A^3*B^2*a^50*b^20*d^4 + 58278019072*A^3*B^2*a^52*b^18*d^4 + 38085591040*A^3*
B^2*a^54*b^16*d^4 + 11661475840*A^3*B^2*a^56*b^14*d^4 + 1684275200*A^3*B^2*a^58*b^12*d^4 + 20971520*A^3*B^2*a^
60*b^10*d^4 - 16777216*A^3*B^2*a^62*b^8*d^4))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^1
1*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)*1i)/(4*a^9*d)