\(\int \sin ^5(e+f x) (a+b \tan ^2(e+f x)) \, dx\) [30]

   Optimal result
   Rubi [A] (verified)
   Mathematica [A] (verified)
   Maple [A] (verified)
   Fricas [A] (verification not implemented)
   Sympy [F]
   Maxima [A] (verification not implemented)
   Giac [B] (verification not implemented)
   Mupad [B] (verification not implemented)

Optimal result

Integrand size = 21, antiderivative size = 70 \[ \int \sin ^5(e+f x) \left (a+b \tan ^2(e+f x)\right ) \, dx=-\frac {(a-3 b) \cos (e+f x)}{f}+\frac {(2 a-3 b) \cos ^3(e+f x)}{3 f}-\frac {(a-b) \cos ^5(e+f x)}{5 f}+\frac {b \sec (e+f x)}{f} \]

[Out]

-(a-3*b)*cos(f*x+e)/f+1/3*(2*a-3*b)*cos(f*x+e)^3/f-1/5*(a-b)*cos(f*x+e)^5/f+b*sec(f*x+e)/f

Rubi [A] (verified)

Time = 0.07 (sec) , antiderivative size = 70, normalized size of antiderivative = 1.00, number of steps used = 3, number of rules used = 2, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.095, Rules used = {3745, 459} \[ \int \sin ^5(e+f x) \left (a+b \tan ^2(e+f x)\right ) \, dx=-\frac {(a-b) \cos ^5(e+f x)}{5 f}+\frac {(2 a-3 b) \cos ^3(e+f x)}{3 f}-\frac {(a-3 b) \cos (e+f x)}{f}+\frac {b \sec (e+f x)}{f} \]

[In]

Int[Sin[e + f*x]^5*(a + b*Tan[e + f*x]^2),x]

[Out]

-(((a - 3*b)*Cos[e + f*x])/f) + ((2*a - 3*b)*Cos[e + f*x]^3)/(3*f) - ((a - b)*Cos[e + f*x]^5)/(5*f) + (b*Sec[e
 + f*x])/f

Rule 459

Int[((e_.)*(x_))^(m_.)*((a_) + (b_.)*(x_)^(n_))^(p_.)*((c_) + (d_.)*(x_)^(n_))^(q_.), x_Symbol] :> Int[ExpandI
ntegrand[(e*x)^m*(a + b*x^n)^p*(c + d*x^n)^q, x], x] /; FreeQ[{a, b, c, d, e, m, n}, x] && NeQ[b*c - a*d, 0] &
& IGtQ[p, 0] && IGtQ[q, 0]

Rule 3745

Int[sin[(e_.) + (f_.)*(x_)]^(m_.)*((a_) + (b_.)*tan[(e_.) + (f_.)*(x_)]^2)^(p_.), x_Symbol] :> With[{ff = Free
Factors[Sec[e + f*x], x]}, Dist[1/(f*ff^m), Subst[Int[(-1 + ff^2*x^2)^((m - 1)/2)*((a - b + b*ff^2*x^2)^p/x^(m
 + 1)), x], x, Sec[e + f*x]/ff], x]] /; FreeQ[{a, b, e, f, p}, x] && IntegerQ[(m - 1)/2]

Rubi steps \begin{align*} \text {integral}& = \frac {\text {Subst}\left (\int \frac {\left (-1+x^2\right )^2 \left (a-b+b x^2\right )}{x^6} \, dx,x,\sec (e+f x)\right )}{f} \\ & = \frac {\text {Subst}\left (\int \left (b+\frac {a-b}{x^6}+\frac {-2 a+3 b}{x^4}+\frac {a-3 b}{x^2}\right ) \, dx,x,\sec (e+f x)\right )}{f} \\ & = -\frac {(a-3 b) \cos (e+f x)}{f}+\frac {(2 a-3 b) \cos ^3(e+f x)}{3 f}-\frac {(a-b) \cos ^5(e+f x)}{5 f}+\frac {b \sec (e+f x)}{f} \\ \end{align*}

Mathematica [A] (verified)

Time = 0.44 (sec) , antiderivative size = 104, normalized size of antiderivative = 1.49 \[ \int \sin ^5(e+f x) \left (a+b \tan ^2(e+f x)\right ) \, dx=-\frac {5 a \cos (e+f x)}{8 f}+\frac {19 b \cos (e+f x)}{8 f}+\frac {5 a \cos (3 (e+f x))}{48 f}-\frac {3 b \cos (3 (e+f x))}{16 f}-\frac {a \cos (5 (e+f x))}{80 f}+\frac {b \cos (5 (e+f x))}{80 f}+\frac {b \sec (e+f x)}{f} \]

[In]

Integrate[Sin[e + f*x]^5*(a + b*Tan[e + f*x]^2),x]

[Out]

(-5*a*Cos[e + f*x])/(8*f) + (19*b*Cos[e + f*x])/(8*f) + (5*a*Cos[3*(e + f*x)])/(48*f) - (3*b*Cos[3*(e + f*x)])
/(16*f) - (a*Cos[5*(e + f*x)])/(80*f) + (b*Cos[5*(e + f*x)])/(80*f) + (b*Sec[e + f*x])/f

Maple [A] (verified)

Time = 1.89 (sec) , antiderivative size = 92, normalized size of antiderivative = 1.31

method result size
derivativedivides \(\frac {-\frac {a \left (\frac {8}{3}+\sin \left (f x +e \right )^{4}+\frac {4 \sin \left (f x +e \right )^{2}}{3}\right ) \cos \left (f x +e \right )}{5}+b \left (\frac {\sin \left (f x +e \right )^{8}}{\cos \left (f x +e \right )}+\left (\frac {16}{5}+\sin \left (f x +e \right )^{6}+\frac {6 \sin \left (f x +e \right )^{4}}{5}+\frac {8 \sin \left (f x +e \right )^{2}}{5}\right ) \cos \left (f x +e \right )\right )}{f}\) \(92\)
default \(\frac {-\frac {a \left (\frac {8}{3}+\sin \left (f x +e \right )^{4}+\frac {4 \sin \left (f x +e \right )^{2}}{3}\right ) \cos \left (f x +e \right )}{5}+b \left (\frac {\sin \left (f x +e \right )^{8}}{\cos \left (f x +e \right )}+\left (\frac {16}{5}+\sin \left (f x +e \right )^{6}+\frac {6 \sin \left (f x +e \right )^{4}}{5}+\frac {8 \sin \left (f x +e \right )^{2}}{5}\right ) \cos \left (f x +e \right )\right )}{f}\) \(92\)
risch \(-\frac {5 \,{\mathrm e}^{i \left (f x +e \right )} a}{16 f}+\frac {19 \,{\mathrm e}^{i \left (f x +e \right )} b}{16 f}-\frac {5 \,{\mathrm e}^{-i \left (f x +e \right )} a}{16 f}+\frac {19 \,{\mathrm e}^{-i \left (f x +e \right )} b}{16 f}+\frac {2 b \,{\mathrm e}^{i \left (f x +e \right )}}{f \left ({\mathrm e}^{2 i \left (f x +e \right )}+1\right )}-\frac {\cos \left (5 f x +5 e \right ) a}{80 f}+\frac {\cos \left (5 f x +5 e \right ) b}{80 f}+\frac {5 \cos \left (3 f x +3 e \right ) a}{48 f}-\frac {3 \cos \left (3 f x +3 e \right ) b}{16 f}\) \(150\)

[In]

int(sin(f*x+e)^5*(a+b*tan(f*x+e)^2),x,method=_RETURNVERBOSE)

[Out]

1/f*(-1/5*a*(8/3+sin(f*x+e)^4+4/3*sin(f*x+e)^2)*cos(f*x+e)+b*(sin(f*x+e)^8/cos(f*x+e)+(16/5+sin(f*x+e)^6+6/5*s
in(f*x+e)^4+8/5*sin(f*x+e)^2)*cos(f*x+e)))

Fricas [A] (verification not implemented)

none

Time = 0.31 (sec) , antiderivative size = 64, normalized size of antiderivative = 0.91 \[ \int \sin ^5(e+f x) \left (a+b \tan ^2(e+f x)\right ) \, dx=-\frac {3 \, {\left (a - b\right )} \cos \left (f x + e\right )^{6} - 5 \, {\left (2 \, a - 3 \, b\right )} \cos \left (f x + e\right )^{4} + 15 \, {\left (a - 3 \, b\right )} \cos \left (f x + e\right )^{2} - 15 \, b}{15 \, f \cos \left (f x + e\right )} \]

[In]

integrate(sin(f*x+e)^5*(a+b*tan(f*x+e)^2),x, algorithm="fricas")

[Out]

-1/15*(3*(a - b)*cos(f*x + e)^6 - 5*(2*a - 3*b)*cos(f*x + e)^4 + 15*(a - 3*b)*cos(f*x + e)^2 - 15*b)/(f*cos(f*
x + e))

Sympy [F]

\[ \int \sin ^5(e+f x) \left (a+b \tan ^2(e+f x)\right ) \, dx=\int \left (a + b \tan ^{2}{\left (e + f x \right )}\right ) \sin ^{5}{\left (e + f x \right )}\, dx \]

[In]

integrate(sin(f*x+e)**5*(a+b*tan(f*x+e)**2),x)

[Out]

Integral((a + b*tan(e + f*x)**2)*sin(e + f*x)**5, x)

Maxima [A] (verification not implemented)

none

Time = 0.23 (sec) , antiderivative size = 62, normalized size of antiderivative = 0.89 \[ \int \sin ^5(e+f x) \left (a+b \tan ^2(e+f x)\right ) \, dx=-\frac {3 \, {\left (a - b\right )} \cos \left (f x + e\right )^{5} - 5 \, {\left (2 \, a - 3 \, b\right )} \cos \left (f x + e\right )^{3} + 15 \, {\left (a - 3 \, b\right )} \cos \left (f x + e\right ) - \frac {15 \, b}{\cos \left (f x + e\right )}}{15 \, f} \]

[In]

integrate(sin(f*x+e)^5*(a+b*tan(f*x+e)^2),x, algorithm="maxima")

[Out]

-1/15*(3*(a - b)*cos(f*x + e)^5 - 5*(2*a - 3*b)*cos(f*x + e)^3 + 15*(a - 3*b)*cos(f*x + e) - 15*b/cos(f*x + e)
)/f

Giac [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 54384 vs. \(2 (66) = 132\).

Time = 17.59 (sec) , antiderivative size = 54384, normalized size of antiderivative = 776.91 \[ \int \sin ^5(e+f x) \left (a+b \tan ^2(e+f x)\right ) \, dx=\text {Too large to display} \]

[In]

integrate(sin(f*x+e)^5*(a+b*tan(f*x+e)^2),x, algorithm="giac")

[Out]

1/1920*(315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2
 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*
e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^12 + 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/
2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*ta
n(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^12 -
315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan
(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^12 + 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1
/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^12 - 630*pi*b*sgn(tan
(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^12*tan(
1/2*e)^12 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2
*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan
(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^10 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*
tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2
- 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)
^10 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2
+ 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e
)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^11 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/
2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*ta
n(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^11 +
1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*ta
n(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 +
2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^12 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)
^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*
f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^12 + 630*pi
*b*tan(1/2*f*x)^12*tan(1/2*e)^12 - 630*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan
(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^12*tan(1/2*e)^12 - 630*b*arctan((tan(1/2*f
*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan
(1/2*f*x)^12*tan(1/2*e)^12 + 630*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f
*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^12*tan(1/2*e)^12 + 630*b*arctan((tan(1/2*f*x)*ta
n(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f
*x)^12*tan(1/2*e)^12 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^
2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^10 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)
^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2
*e)^10 - 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2
 + 1)*tan(1/2*f*x)^12*tan(1/2*e)^10 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2
- tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^11 - 1260*pi*b*sgn(tan(1/2*f*
x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*
f*x)^11*tan(1/2*e)^11 + 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e)
 - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^11*tan(1/2*e)^11 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x
)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^12 + 1260*pi*b
*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x
) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^12 - 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*
f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^10*tan(1/2*e)^12 - 1024*a*tan(1/2*f*x)^12*tan(1/2*e)^12 + 614
4*b*tan(1/2*f*x)^12*tan(1/2*e)^12 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) +
tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^
2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^8 + 1575*pi*b*sgn(tan(1/2*f
*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1
/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan
(1/2*f*x)^12*tan(1/2*e)^8 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*
f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(
1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^9 - 6300*pi*b*sgn(tan(1/2*f*x)^2*ta
n(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^
2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x
)^11*tan(1/2*e)^9 + 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 -
 tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)
^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^10 + 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e
)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1
/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*ta
n(1/2*e)^10 + 2520*pi*b*tan(1/2*f*x)^12*tan(1/2*e)^10 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x)
- tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^12*tan(1/2*e)^10 - 2
520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x)
 - tan(1/2*e) + 1))*tan(1/2*f*x)^12*tan(1/2*e)^10 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + ta
n(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^12*tan(1/2*e)^10 + 2520*
b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + t
an(1/2*e) - 1))*tan(1/2*f*x)^12*tan(1/2*e)^10 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*t
an(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)
*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^11 - 6300*pi*b*s
gn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) -
1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f
*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^11 - 2520*pi*b*tan(1/2*f*x)^11*tan(1/2*e)^11 + 2520*b*arctan((tan(1/2*f*x)*
tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2
*f*x)^11*tan(1/2*e)^11 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)
*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^11*tan(1/2*e)^11 - 2520*b*arctan((tan(1/2*f*x)*tan(
1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x
)^11*tan(1/2*e)^11 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan
(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^11*tan(1/2*e)^11 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2
*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan
(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*t
an(1/2*e)^12 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(
1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 +
tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^12 + 2520*pi*b*tan(1/2*f*x)^10*tan(1/2*e)^12 - 25
20*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x)
+ tan(1/2*e) + 1))*tan(1/2*f*x)^10*tan(1/2*e)^12 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan
(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^10*tan(1/2*e)^12 + 2520*b
*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - ta
n(1/2*e) - 1))*tan(1/2*f*x)^10*tan(1/2*e)^12 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2
*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^10*tan(1/2*e)^12 - 1575*pi*b*
sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x)
 - 1)*tan(1/2*f*x)^12*tan(1/2*e)^8 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 -
 tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^8 - 3150*pi*b*sgn(tan(1/2*f*x)
^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^12*tan(1/2*e)^8
+ 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*
tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^9 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*ta
n(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^9 + 12600*pi*b*sgn
(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^11*
tan(1/2*e)^9 - 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(
1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^10 + 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*t
an(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^10 -
 10080*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*t
an(1/2*f*x)^10*tan(1/2*e)^10 - 4096*a*tan(1/2*f*x)^12*tan(1/2*e)^10 + 24576*b*tan(1/2*f*x)^12*tan(1/2*e)^10 +
6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*ta
n(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^11 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(
1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^11 + 12600*pi*b*sgn(t
an(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^9*tan
(1/2*e)^11 + 4096*a*tan(1/2*f*x)^11*tan(1/2*e)^11 - 24576*b*tan(1/2*f*x)^11*tan(1/2*e)^11 - 1575*pi*b*sgn(tan(
1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*ta
n(1/2*f*x)^8*tan(1/2*e)^12 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2
*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^12 - 3150*pi*b*sgn(tan(1/2*f*x)^2*tan(1
/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^8*tan(1/2*e)^12 - 4096*a
*tan(1/2*f*x)^10*tan(1/2*e)^12 + 24576*b*tan(1/2*f*x)^10*tan(1/2*e)^12 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2
*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan
(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*
tan(1/2*e)^7 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan
(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 +
 tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^7 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 +
 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)
^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2
*e)^8 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^
2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2
*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^8 + 3150*pi*b*tan(1/2*f*x)^12*tan(1/2*e)^8 - 3150*b*arc
tan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/
2*e) + 1))*tan(1/2*f*x)^12*tan(1/2*e)^8 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) +
 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^12*tan(1/2*e)^8 + 3150*b*arctan((t
an(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) -
 1))*tan(1/2*f*x)^12*tan(1/2*e)^8 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(t
an(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^12*tan(1/2*e)^8 - 31500*pi*b*sgn(tan(1/2
*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan
(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*t
an(1/2*f*x)^9*tan(1/2*e)^9 - 31500*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/
2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - ta
n(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^9 - 12600*pi*b*tan(1/2*f*x)^11*tan
(1/2*e)^9 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e)
- tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^11*tan(1/2*e)^9 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan
(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^11*tan(1/2
*e)^9 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - ta
n(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^11*tan(1/2*e)^9 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2
*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^11*tan(1/2*e)^
9 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 +
2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^
2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^10 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f
*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1
/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^10 + 1008
0*pi*b*tan(1/2*f*x)^10*tan(1/2*e)^10 - 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1
)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^10*tan(1/2*e)^10 - 10080*b*arctan((t
an(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) +
 1))*tan(1/2*f*x)^10*tan(1/2*e)^10 + 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/
(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^10*tan(1/2*e)^10 + 10080*b*arctan((tan
(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1
))*tan(1/2*f*x)^10*tan(1/2*e)^10 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) +
tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^
2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^11 - 12600*pi*b*sgn(tan(1/2*
f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(
1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*ta
n(1/2*f*x)^7*tan(1/2*e)^11 - 12600*pi*b*tan(1/2*f*x)^9*tan(1/2*e)^11 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e)
 + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^9*ta
n(1/2*e)^11 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e
) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^9*tan(1/2*e)^11 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + t
an(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/
2*e)^11 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) +
tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/2*e)^11 + 3150*pi*b*tan(1/2*f*x)^8*tan(1/2*e)^12 - 3150*b
*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + ta
n(1/2*e) + 1))*tan(1/2*f*x)^8*tan(1/2*e)^12 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*
e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^8*tan(1/2*e)^12 + 3150*b*arcta
n((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*
e) - 1))*tan(1/2*f*x)^8*tan(1/2*e)^12 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1
)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^8*tan(1/2*e)^12 + 12600*pi*b*sgn(tan
(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*t
an(1/2*f*x)^11*tan(1/2*e)^7 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1
/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^7 + 25200*pi*b*sgn(tan(1/2*f*x)^2*ta
n(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^11*tan(1/2*e)^7 - 630
0*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1
/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^8 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2
*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^8 - 12600*pi*b*sgn(tan(
1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^10*tan(1
/2*e)^8 - 5120*a*tan(1/2*f*x)^12*tan(1/2*e)^8 + 30720*b*tan(1/2*f*x)^12*tan(1/2*e)^8 + 31500*pi*b*sgn(tan(1/2*
f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/
2*f*x)^9*tan(1/2*e)^9 - 31500*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x
)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^9 + 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e
)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^9*tan(1/2*e)^9 + 20480*a*tan
(1/2*f*x)^11*tan(1/2*e)^9 - 122880*b*tan(1/2*f*x)^11*tan(1/2*e)^9 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2
+ 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^
10 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 -
 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^10 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^
2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^8*tan(1/2*e)^10 - 16384*a*tan(1/2*f*x)^10*tan(1
/2*e)^10 + 98304*b*tan(1/2*f*x)^10*tan(1/2*e)^10 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)
*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^11 - 12600*pi*b*
sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x)
 - 1)*tan(1/2*f*x)^7*tan(1/2*e)^11 + 25200*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f
*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^7*tan(1/2*e)^11 + 20480*a*tan(1/2*f*x)^9*tan(1/2*e)^11 - 12288
0*b*tan(1/2*f*x)^9*tan(1/2*e)^11 - 5120*a*tan(1/2*f*x)^8*tan(1/2*e)^12 + 30720*b*tan(1/2*f*x)^8*tan(1/2*e)^12
- 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*
tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
+ 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^4 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x
)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2
*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^4 - 12600*
pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2
*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan
(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^5 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*ta
n(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*
tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^5 - 63000*pi*b*s
gn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) -
1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f
*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^7 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e
) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2
*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^7 - 25200*pi*b*tan(1/2*f
*x)^11*tan(1/2*e)^7 + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*t
an(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^11*tan(1/2*e)^7 + 25200*b*arctan((tan(1/2*f*x)*tan(1/
2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^
11*tan(1/2*e)^7 - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1
/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^11*tan(1/2*e)^7 - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e)
 - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^11*t
an(1/2*e)^7 + 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1
/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + t
an(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^8 + 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*
tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2
- 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^
8 + 12600*pi*b*tan(1/2*f*x)^10*tan(1/2*e)^8 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2
*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^10*tan(1/2*e)^8 - 12600*b*arc
tan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/
2*e) + 1))*tan(1/2*f*x)^10*tan(1/2*e)^8 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e)
- 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^10*tan(1/2*e)^8 + 12600*b*arctan(
(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e)
 - 1))*tan(1/2*f*x)^10*tan(1/2*e)^8 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e)
 + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*
e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^9 - 63000*pi*b*sgn(tan(1/
2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(ta
n(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*
tan(1/2*f*x)^7*tan(1/2*e)^9 - 63000*pi*b*tan(1/2*f*x)^9*tan(1/2*e)^9 + 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e)
 + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^9*ta
n(1/2*e)^9 + 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e)
 + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^9*tan(1/2*e)^9 - 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan
(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/2*
e)^9 - 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan
(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/2*e)^9 + 12600*pi*b*tan(1/2*f*x)^8*tan(1/2*e)^10 - 12600*b*a
rctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(
1/2*e) + 1))*tan(1/2*f*x)^8*tan(1/2*e)^10 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e
) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^8*tan(1/2*e)^10 + 12600*b*arcta
n((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*
e) - 1))*tan(1/2*f*x)^8*tan(1/2*e)^10 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) -
1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^8*tan(1/2*e)^10 - 12600*pi*b*sgn(ta
n(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sg
n(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) -
 1)*tan(1/2*f*x)^5*tan(1/2*e)^11 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) +
tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^
2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^11 - 25200*pi*b*tan(1/2*f*x)
^7*tan(1/2*e)^11 + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(
1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^7*tan(1/2*e)^11 + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e
) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^7*t
an(1/2*e)^11 - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*
e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^7*tan(1/2*e)^11 - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) -
tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^7*tan(1
/2*e)^11 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*
e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(
1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^12 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*ta
n(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 -
2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^12
 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2
*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^4 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*t
an(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^4 + 3150*pi*b*sgn
(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^12*
tan(1/2*e)^4 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan
(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^5 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*
tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^5 +
 25200*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*t
an(1/2*f*x)^11*tan(1/2*e)^5 + 20480*a*tan(1/2*f*x)^12*tan(1/2*e)^6 + 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^
2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e
)^7 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^7 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x
)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^9*tan(1/2*e)^7 + 163840*a*tan(1/2*f*x)^11*tan
(1/2*e)^7 - 245760*b*tan(1/2*f*x)^11*tan(1/2*e)^7 - 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)
*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^8 + 7875*pi*b*sg
n(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) -
 1)*tan(1/2*f*x)^8*tan(1/2*e)^8 - 15750*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)
*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^8*tan(1/2*e)^8 + 286720*a*tan(1/2*f*x)^10*tan(1/2*e)^8 + 122880*b
*tan(1/2*f*x)^10*tan(1/2*e)^8 + 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan
(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^9 - 63000*pi*b*sgn(tan(1/2*f*x)^2*t
an(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7
*tan(1/2*e)^9 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan
(1/2*e)^2 + 1)*tan(1/2*f*x)^7*tan(1/2*e)^9 + 512000*a*tan(1/2*f*x)^9*tan(1/2*e)^9 - 614400*b*tan(1/2*f*x)^9*ta
n(1/2*e)^9 + 286720*a*tan(1/2*f*x)^8*tan(1/2*e)^10 + 122880*b*tan(1/2*f*x)^8*tan(1/2*e)^10 + 12600*pi*b*sgn(ta
n(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*
tan(1/2*f*x)^5*tan(1/2*e)^11 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(
1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^11 + 25200*pi*b*sgn(tan(1/2*f*x)^2*t
an(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^5*tan(1/2*e)^11 + 16
3840*a*tan(1/2*f*x)^7*tan(1/2*e)^11 - 245760*b*tan(1/2*f*x)^7*tan(1/2*e)^11 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan
(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*t
an(1/2*e)^12 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(
1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^12 + 3150*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(
1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^4*tan(1/2*e)^12 + 20480*a*tan(1/2*f*x)
^6*tan(1/2*e)^12 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 -
tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^
2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^2 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^
2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2
*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(
1/2*e)^2 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*
e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(
1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^3 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*ta
n(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 -
2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^3
 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2
*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^4 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*
x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/
2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^4 - 3150*
pi*b*tan(1/2*f*x)^12*tan(1/2*e)^4 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(t
an(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^12*tan(1/2*e)^4 + 3150*b*arctan((tan(1/2
*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*t
an(1/2*f*x)^12*tan(1/2*e)^4 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2
*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^12*tan(1/2*e)^4 - 3150*b*arctan((tan(1/2*f*x)*
tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2
*f*x)^12*tan(1/2*e)^4 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x
)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2
*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^5 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1
/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*t
an(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9
*tan(1/2*e)^5 - 25200*pi*b*tan(1/2*f*x)^11*tan(1/2*e)^5 + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*
x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^11*tan(1/2*e)^5 +
 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f
*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^11*tan(1/2*e)^5 - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) +
 tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^11*tan(1/2*e)^5 - 252
00*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x)
+ tan(1/2*e) - 1))*tan(1/2*f*x)^11*tan(1/2*e)^5 - 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)
^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*
f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^7 - 126000*p
i*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*
e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(
1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^7 - 126000*pi*b*tan(1/2*f*x)^9*tan(1/2*e)^7 + 126000*b*arctan((tan(1/2
*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*t
an(1/2*f*x)^9*tan(1/2*e)^7 + 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/
2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^9*tan(1/2*e)^7 - 126000*b*arctan((tan(1/2*f*x
)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1
/2*f*x)^9*tan(1/2*e)^7 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*
x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/2*e)^7 + 15750*pi*b*tan(1/2*f*x)^8*tan(1/
2*e)^8 - 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - t
an(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^8*tan(1/2*e)^8 - 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2
*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^8*tan(1/2*e)^8
 + 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2
*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^8*tan(1/2*e)^8 + 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x)
- tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^8*tan(1/2*e)^8 - 630
00*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(
1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*
tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^9 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*
tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x
)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^9 - 126000*pi*b
*tan(1/2*f*x)^7*tan(1/2*e)^9 + 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(
1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^7*tan(1/2*e)^9 + 126000*b*arctan((tan(1/2*f
*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan
(1/2*f*x)^7*tan(1/2*e)^9 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*
f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^7*tan(1/2*e)^9 - 126000*b*arctan((tan(1/2*f*x)*
tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2
*f*x)^7*tan(1/2*e)^9 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^
2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f
*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^10 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2
*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan
(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*t
an(1/2*e)^10 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(
1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 +
tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^11 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 -
2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^
2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e
)^11 - 25200*pi*b*tan(1/2*f*x)^5*tan(1/2*e)^11 + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(
1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e)^11 + 25200*b*
arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan
(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e)^11 - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*
e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e)^11 - 25200*b*arct
an((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2
*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e)^11 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*
e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/
2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^12 - 1260*pi*b*sgn(tan(
1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(
tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1
)*tan(1/2*f*x)^2*tan(1/2*e)^12 - 3150*pi*b*tan(1/2*f*x)^4*tan(1/2*e)^12 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*
e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^4*
tan(1/2*e)^12 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*
e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^4*tan(1/2*e)^12 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) + t
an(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^4*tan(1/
2*e)^12 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + t
an(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^4*tan(1/2*e)^12 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*ta
n(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^2 - 1
260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan
(1/2*f*x) - 1)*tan(1/2*f*x)^12*tan(1/2*e)^2 + 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*t
an(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^12*tan(1/2*e)^2 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2
*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(
1/2*e)^3 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*
e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e)^3 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2
*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^11*tan(1/2*e)^3 + 6300*pi*b*sgn(tan(1/2*f
*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2
*f*x)^10*tan(1/2*e)^4 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)
^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^4 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e
)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^10*tan(1/2*e)^4 - 5120*a*tan
(1/2*f*x)^12*tan(1/2*e)^4 + 30720*b*tan(1/2*f*x)^12*tan(1/2*e)^4 + 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2
+ 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^
5 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 -
 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^5 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^
2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^9*tan(1/2*e)^5 - 163840*a*tan(1/2*f*x)^11*tan(1
/2*e)^5 + 245760*b*tan(1/2*f*x)^11*tan(1/2*e)^5 - 1024000*a*tan(1/2*f*x)^10*tan(1/2*e)^6 + 1720320*b*tan(1/2*f
*x)^10*tan(1/2*e)^6 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)
^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^7 - 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e
)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2
*e)^7 + 252000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^
2 + 1)*tan(1/2*f*x)^7*tan(1/2*e)^7 - 2211840*a*tan(1/2*f*x)^9*tan(1/2*e)^7 + 2211840*b*tan(1/2*f*x)^9*tan(1/2*
e)^7 - 3200000*a*tan(1/2*f*x)^8*tan(1/2*e)^8 + 4454400*b*tan(1/2*f*x)^8*tan(1/2*e)^8 + 63000*pi*b*sgn(tan(1/2*
f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/
2*f*x)^5*tan(1/2*e)^9 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x
)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^9 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*
e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^5*tan(1/2*e)^9 - 2211840*a*
tan(1/2*f*x)^7*tan(1/2*e)^9 + 2211840*b*tan(1/2*f*x)^7*tan(1/2*e)^9 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^
2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e
)^10 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^10 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x
)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^4*tan(1/2*e)^10 - 1024000*a*tan(1/2*f*x)^6*ta
n(1/2*e)^10 + 1720320*b*tan(1/2*f*x)^6*tan(1/2*e)^10 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f
*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^11 - 6300*pi*
b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*
x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^11 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2
*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^3*tan(1/2*e)^11 - 163840*a*tan(1/2*f*x)^5*tan(1/2*e)^11 + 24
5760*b*tan(1/2*f*x)^5*tan(1/2*e)^11 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2
- tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^12 - 1260*pi*b*sgn(tan(1/2*f*x
)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f
*x)^2*tan(1/2*e)^12 + 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) -
 tan(1/2*e)^2 + 1)*tan(1/2*f*x)^2*tan(1/2*e)^12 - 5120*a*tan(1/2*f*x)^4*tan(1/2*e)^12 + 30720*b*tan(1/2*f*x)^4
*tan(1/2*e)^12 - 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan
(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 +
 tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12 - 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x
)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2
*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12 - 1260*pi*b*sgn(tan(1
/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(t
an(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)
*tan(1/2*f*x)^11*tan(1/2*e) - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/
2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - ta
n(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e) - 5040*pi*b*sgn(tan(1/2*f*x)^2*ta
n(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^
2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x
)^10*tan(1/2*e)^2 - 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 -
 tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)
^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^2 - 2520*pi*b*tan(1/2*f*x)^12*tan(1/2*e)^2
+ 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f
*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^12*tan(1/2*e)^2 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) +
tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^12*tan(1/2*e)^2 - 2520
*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) -
tan(1/2*e) - 1))*tan(1/2*f*x)^12*tan(1/2*e)^2 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/
2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^12*tan(1/2*e)^2 - 31500*pi*b
*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e)
- 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2
*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^3 - 31500*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2
*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1
/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^3 - 12600*pi*b*tan(1/2
*f*x)^11*tan(1/2*e)^3 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)
*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^11*tan(1/2*e)^3 + 12600*b*arctan((tan(1/2*f*x)*tan(
1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x
)^11*tan(1/2*e)^3 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan
(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^11*tan(1/2*e)^3 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*
e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^11
*tan(1/2*e)^3 - 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan
(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 +
 tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^4 - 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 -
2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^
2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e
)^4 - 12600*pi*b*tan(1/2*f*x)^10*tan(1/2*e)^4 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1
/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^10*tan(1/2*e)^4 + 12600*b*a
rctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(
1/2*e) + 1))*tan(1/2*f*x)^10*tan(1/2*e)^4 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e
) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^10*tan(1/2*e)^4 - 12600*b*arcta
n((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*
e) - 1))*tan(1/2*f*x)^10*tan(1/2*e)^4 - 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2
*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1
/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^5 - 126000*pi*b*sgn(ta
n(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sg
n(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) -
 1)*tan(1/2*f*x)^7*tan(1/2*e)^5 - 126000*pi*b*tan(1/2*f*x)^9*tan(1/2*e)^5 + 126000*b*arctan((tan(1/2*f*x)*tan(
1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x
)^9*tan(1/2*e)^5 + 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan
(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^9*tan(1/2*e)^5 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*
e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^9*
tan(1/2*e)^5 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2
*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/2*e)^5 - 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^
2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2
*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1
/2*e)^7 - 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2
*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan
(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^7 - 252000*pi*b*tan(1/2*f*x)^7*tan(1/2*e)^7 + 252000
*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) +
tan(1/2*e) + 1))*tan(1/2*f*x)^7*tan(1/2*e)^7 + 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1
/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^7*tan(1/2*e)^7 - 252000*b*a
rctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(
1/2*e) - 1))*tan(1/2*f*x)^7*tan(1/2*e)^7 - 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e
) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^7*tan(1/2*e)^7 - 7875*pi*b*sgn(
tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*
sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x)
 - 1)*tan(1/2*f*x)^4*tan(1/2*e)^8 - 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) +
tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^
2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^8 - 31500*pi*b*sgn(tan(1/2*f
*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1
/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan
(1/2*f*x)^3*tan(1/2*e)^9 - 31500*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*
f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(
1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^9 - 126000*pi*b*tan(1/2*f*x)^5*tan(1
/2*e)^9 + 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) -
 tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e)^9 + 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(
1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e
)^9 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan
(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e)^9 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*
f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e)^9
- 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*
tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
+ 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^10 - 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x
)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2
*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^10 - 12600*
pi*b*tan(1/2*f*x)^4*tan(1/2*e)^10 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(
tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^4*tan(1/2*e)^10 + 12600*b*arctan((tan(1
/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))
*tan(1/2*f*x)^4*tan(1/2*e)^10 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(
1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^4*tan(1/2*e)^10 - 12600*b*arctan((tan(1/2*f
*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan
(1/2*f*x)^4*tan(1/2*e)^10 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*
f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(
1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^11 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(
1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*
tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*
tan(1/2*e)^11 - 12600*pi*b*tan(1/2*f*x)^3*tan(1/2*e)^11 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*
x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^3*tan(1/2*e)^11 +
 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f
*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^3*tan(1/2*e)^11 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) +
 tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^3*tan(1/2*e)^11 - 126
00*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x)
+ tan(1/2*e) - 1))*tan(1/2*f*x)^3*tan(1/2*e)^11 - 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*
tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x
)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^12 - 315*pi*b*sgn(tan(1/2*f*x)
^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*
f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/
2*e)^12 - 2520*pi*b*tan(1/2*f*x)^2*tan(1/2*e)^12 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan
(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^2*tan(1/2*e)^12 + 2520*b*
arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan
(1/2*e) + 1))*tan(1/2*f*x)^2*tan(1/2*e)^12 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e
) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^2*tan(1/2*e)^12 - 2520*b*arctan
((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e
) - 1))*tan(1/2*f*x)^2*tan(1/2*e)^12 + 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2
- tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12 - 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)
^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^12 + 630*p
i*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f
*x)^12 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)
^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e) - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*
x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^11*tan(1/2*e) + 2520*pi*b*s
gn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^1
1*tan(1/2*e) + 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(
1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^2 - 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*ta
n(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10*tan(1/2*e)^2 + 1
0080*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan
(1/2*f*x)^10*tan(1/2*e)^2 - 4096*a*tan(1/2*f*x)^12*tan(1/2*e)^2 + 24576*b*tan(1/2*f*x)^12*tan(1/2*e)^2 + 31500
*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/
2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^3 - 31500*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*
e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e)^3 + 63000*pi*b*sgn(tan(1/
2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^9*tan(1/2*
e)^3 - 20480*a*tan(1/2*f*x)^11*tan(1/2*e)^3 + 122880*b*tan(1/2*f*x)^11*tan(1/2*e)^3 + 7875*pi*b*sgn(tan(1/2*f*
x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*
f*x)^8*tan(1/2*e)^4 - 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2
 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^4 + 15750*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2
 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^8*tan(1/2*e)^4 + 286720*a*tan(1
/2*f*x)^10*tan(1/2*e)^4 + 122880*b*tan(1/2*f*x)^10*tan(1/2*e)^4 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2
+ 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^
5 - 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
- 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^5 + 252000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)
^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^7*tan(1/2*e)^5 + 2211840*a*tan(1/2*f*x)^9*tan(
1/2*e)^5 - 2211840*b*tan(1/2*f*x)^9*tan(1/2*e)^5 + 5181440*a*tan(1/2*f*x)^8*tan(1/2*e)^6 - 3440640*b*tan(1/2*f
*x)^8*tan(1/2*e)^6 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^
2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^7 - 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)
^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*
e)^7 + 252000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2
 + 1)*tan(1/2*f*x)^5*tan(1/2*e)^7 + 7356416*a*tan(1/2*f*x)^7*tan(1/2*e)^7 - 7274496*b*tan(1/2*f*x)^7*tan(1/2*e
)^7 + 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
+ 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^8 - 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)
*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^8 + 15750*pi*b*s
gn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^4
*tan(1/2*e)^8 + 5181440*a*tan(1/2*f*x)^6*tan(1/2*e)^8 - 3440640*b*tan(1/2*f*x)^6*tan(1/2*e)^8 + 31500*pi*b*sgn
(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) -
1)*tan(1/2*f*x)^3*tan(1/2*e)^9 - 31500*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - ta
n(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^9 + 63000*pi*b*sgn(tan(1/2*f*x)^2*
tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^3*tan(1/2*e)^9 + 22
11840*a*tan(1/2*f*x)^5*tan(1/2*e)^9 - 2211840*b*tan(1/2*f*x)^5*tan(1/2*e)^9 + 5040*pi*b*sgn(tan(1/2*f*x)^2*tan
(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*t
an(1/2*e)^10 - 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(
1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^10 + 10080*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan
(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^2*tan(1/2*e)^10 + 286720*a*tan(1/2*f*
x)^4*tan(1/2*e)^10 + 122880*b*tan(1/2*f*x)^4*tan(1/2*e)^10 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan
(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^11 - 1260
*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/
2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^11 + 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/
2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)*tan(1/2*e)^11 - 20480*a*tan(1/2*f*x)^3*tan(1/2*e)^11 + 1228
80*b*tan(1/2*f*x)^3*tan(1/2*e)^11 + 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - t
an(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^12 - 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 -
2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*e)^12 + 630*pi*b*sgn
(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*e)^12 -
4096*a*tan(1/2*f*x)^2*tan(1/2*e)^12 + 24576*b*tan(1/2*f*x)^2*tan(1/2*e)^12 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(
1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*
tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^
10 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 -
 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)
^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10 - 630*pi*b*tan(1/2*f*x)^12 + 630*b*arctan((tan(1/2*f*x)*tan(1/2*e) +
tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^12 + 63
0*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) -
 tan(1/2*e) + 1))*tan(1/2*f*x)^12 - 630*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(ta
n(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^12 - 630*b*arctan((tan(1/2*f*x)*tan(1/2*e
) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^12
- 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*
tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
+ 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e) - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2
*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*
x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e) - 2520*pi*b*ta
n(1/2*f*x)^11*tan(1/2*e) + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*
x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^11*tan(1/2*e) + 2520*b*arctan((tan(1/2*f*x)*tan(1
/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)
^11*tan(1/2*e) - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2
*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^11*tan(1/2*e) - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - ta
n(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^11*tan(1/
2*e) - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2
 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*
e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^2 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2
*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan
(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^2 - 100
80*pi*b*tan(1/2*f*x)^10*tan(1/2*e)^2 + 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1
)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^10*tan(1/2*e)^2 + 10080*b*arctan((ta
n(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) +
1))*tan(1/2*f*x)^10*tan(1/2*e)^2 - 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(t
an(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^10*tan(1/2*e)^2 - 10080*b*arctan((tan(1/
2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*
tan(1/2*f*x)^10*tan(1/2*e)^2 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(
1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 -
tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^3 - 63000*pi*b*sgn(tan(1/2*f*x)^
2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f
*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2
*f*x)^7*tan(1/2*e)^3 - 63000*pi*b*tan(1/2*f*x)^9*tan(1/2*e)^3 + 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(
1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^9*tan(1/2*e
)^3 + 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(
1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^9*tan(1/2*e)^3 - 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*
x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/2*e)^3 -
63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*
x) + tan(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/2*e)^3 - 15750*pi*b*tan(1/2*f*x)^8*tan(1/2*e)^4 + 15750*b*arctan((t
an(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) +
 1))*tan(1/2*f*x)^8*tan(1/2*e)^4 + 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(t
an(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^8*tan(1/2*e)^4 - 15750*b*arctan((tan(1/2
*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*t
an(1/2*f*x)^8*tan(1/2*e)^4 - 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2
*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^8*tan(1/2*e)^4 - 126000*pi*b*sgn(tan(1/2*f*x)^
2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f
*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2
*f*x)^5*tan(1/2*e)^5 - 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x
)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2
*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^5 - 252000*pi*b*tan(1/2*f*x)^7*tan(1/2*
e)^5 + 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - ta
n(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^7*tan(1/2*e)^5 + 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2
*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^7*tan(1/2*e)^5
 - 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/
2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^7*tan(1/2*e)^5 - 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x
) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^7*tan(1/2*e)^5 - 6
3000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*ta
n(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 +
2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^7 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^
2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f
*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^7 - 252000*pi
*b*tan(1/2*f*x)^5*tan(1/2*e)^7 + 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(ta
n(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e)^7 + 252000*b*arctan((tan(1/2
*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*t
an(1/2*f*x)^5*tan(1/2*e)^7 - 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/
2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e)^7 - 252000*b*arctan((tan(1/2*f*x
)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1
/2*f*x)^5*tan(1/2*e)^7 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x
)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2
*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^8 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/
2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*ta
n(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*
tan(1/2*e)^8 - 15750*pi*b*tan(1/2*f*x)^4*tan(1/2*e)^8 + 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x)
 - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^4*tan(1/2*e)^8 + 15
750*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x)
 - tan(1/2*e) + 1))*tan(1/2*f*x)^4*tan(1/2*e)^8 - 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan
(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^4*tan(1/2*e)^8 - 15750*b*
arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan
(1/2*e) - 1))*tan(1/2*f*x)^4*tan(1/2*e)^8 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1
/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan
(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^9 - 6300*pi*b*sgn(tan(
1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(
tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1
)*tan(1/2*f*x)*tan(1/2*e)^9 - 63000*pi*b*tan(1/2*f*x)^3*tan(1/2*e)^9 + 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e)
 + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^3*ta
n(1/2*e)^9 + 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e)
 + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^3*tan(1/2*e)^9 - 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan
(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^3*tan(1/2*
e)^9 - 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan
(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^3*tan(1/2*e)^9 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1
/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*t
an(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^10 - 1260*pi*b*sgn(t
an(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*s
gn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x)
- 1)*tan(1/2*e)^10 - 10080*pi*b*tan(1/2*f*x)^2*tan(1/2*e)^10 + 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1
/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^2*tan(1/2*e)
^10 + 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(
1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^2*tan(1/2*e)^10 - 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f
*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^2*tan(1/2*e)^10
- 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*
f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^2*tan(1/2*e)^10 - 2520*pi*b*tan(1/2*f*x)*tan(1/2*e)^11 + 2520*b*arctan((t
an(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) +
 1))*tan(1/2*f*x)*tan(1/2*e)^11 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan
(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)*tan(1/2*e)^11 - 2520*b*arctan((tan(1/2*f*x
)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1
/2*f*x)*tan(1/2*e)^11 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*
tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)*tan(1/2*e)^11 - 630*pi*b*tan(1/2*e)^12 + 630*b*arcta
n((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*
e) + 1))*tan(1/2*e)^12 + 630*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*
tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*e)^12 - 630*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f
*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*e)^12 - 630*b*arctan(
(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e)
 - 1))*tan(1/2*e)^12 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^
2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2
*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^10 + 2520*pi*b*sgn(tan(1
/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^10 - 1024
*a*tan(1/2*f*x)^12 + 6144*b*tan(1/2*f*x)^12 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1
/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^9*tan(1/2*e) - 6300*pi*b*sgn(tan(1/
2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(
1/2*f*x)^9*tan(1/2*e) + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e
) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^9*tan(1/2*e) - 4096*a*tan(1/2*f*x)^11*tan(1/2*e) + 24576*b*tan(1/2*f*x)^11*
tan(1/2*e) + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/
2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^2 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1
/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8*tan(1/2*e)^2 + 12600
*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2
*f*x)^8*tan(1/2*e)^2 - 16384*a*tan(1/2*f*x)^10*tan(1/2*e)^2 + 98304*b*tan(1/2*f*x)^10*tan(1/2*e)^2 + 63000*pi*
b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*
x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^3 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2
 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e)^3 + 126000*pi*b*sgn(tan(1/2*f
*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^7*tan(1/2*e)^
3 - 512000*a*tan(1/2*f*x)^9*tan(1/2*e)^3 + 614400*b*tan(1/2*f*x)^9*tan(1/2*e)^3 - 3200000*a*tan(1/2*f*x)^8*tan
(1/2*e)^4 + 4454400*b*tan(1/2*f*x)^8*tan(1/2*e)^4 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*
x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^5 - 126000*pi*
b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*
x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^5 + 252000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2
*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^5*tan(1/2*e)^5 - 7356416*a*tan(1/2*f*x)^7*tan(1/2*e)^5 + 727
4496*b*tan(1/2*f*x)^7*tan(1/2*e)^5 - 10256384*a*tan(1/2*f*x)^6*tan(1/2*e)^6 + 12386304*b*tan(1/2*f*x)^6*tan(1/
2*e)^6 + 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e
)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^7 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2
*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^7 + 126000*
pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*
f*x)^3*tan(1/2*e)^7 - 7356416*a*tan(1/2*f*x)^5*tan(1/2*e)^7 + 7274496*b*tan(1/2*f*x)^5*tan(1/2*e)^7 + 6300*pi*
b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*
x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^8 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2
- tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^8 + 12600*pi*b*sgn(tan(1/2*f*x
)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^2*tan(1/2*e)^8
- 3200000*a*tan(1/2*f*x)^4*tan(1/2*e)^8 + 4454400*b*tan(1/2*f*x)^4*tan(1/2*e)^8 + 6300*pi*b*sgn(tan(1/2*f*x)^2
*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)
*tan(1/2*e)^9 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan
(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^9 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1
/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)*tan(1/2*e)^9 - 512000*a*tan(1/2*f*x)^3*
tan(1/2*e)^9 + 614400*b*tan(1/2*f*x)^3*tan(1/2*e)^9 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*
x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^10 - 1260*pi*b*sgn(tan(1/2*f*
x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*
e)^10 + 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2
+ 1)*tan(1/2*e)^10 - 16384*a*tan(1/2*f*x)^2*tan(1/2*e)^10 + 98304*b*tan(1/2*f*x)^2*tan(1/2*e)^10 - 4096*a*tan(
1/2*f*x)*tan(1/2*e)^11 + 24576*b*tan(1/2*f*x)*tan(1/2*e)^11 - 1024*a*tan(1/2*e)^12 + 6144*b*tan(1/2*e)^12 - 15
75*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(
1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*
tan(1/2*f*x) - 1)*tan(1/2*f*x)^8 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + t
an(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2
 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8 - 2520*pi*b*tan(1/2*f*x)^10 + 2520*b*arc
tan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/
2*e) + 1))*tan(1/2*f*x)^10 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*
f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^10 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + t
an(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^10 - 252
0*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) +
 tan(1/2*e) - 1))*tan(1/2*f*x)^10 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) +
 tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)
^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e) - 12600*pi*b*sgn(tan(1/2*f*
x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/
2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(
1/2*f*x)^7*tan(1/2*e) - 12600*pi*b*tan(1/2*f*x)^9*tan(1/2*e) + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1
/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^9*tan(1/2*e)
 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2
*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^9*tan(1/2*e) - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) +
tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/2*e) - 12600*b
*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + ta
n(1/2*e) - 1))*tan(1/2*f*x)^9*tan(1/2*e) - 12600*pi*b*tan(1/2*f*x)^8*tan(1/2*e)^2 + 12600*b*arctan((tan(1/2*f*
x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(
1/2*f*x)^8*tan(1/2*e)^2 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*
x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^8*tan(1/2*e)^2 - 12600*b*arctan((tan(1/2*f*x)*tan
(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*
x)^8*tan(1/2*e)^2 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan
(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^8*tan(1/2*e)^2 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*
e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(
1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*ta
n(1/2*e)^3 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1
/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + t
an(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^3 - 126000*pi*b*tan(1/2*f*x)^7*tan(1/2*e)^3 + 1260
00*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x)
+ tan(1/2*e) + 1))*tan(1/2*f*x)^7*tan(1/2*e)^3 + 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan
(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^7*tan(1/2*e)^3 - 126000*b
*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - ta
n(1/2*e) - 1))*tan(1/2*f*x)^7*tan(1/2*e)^3 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2
*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^7*tan(1/2*e)^3 + 7875*pi*b*sg
n(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1
)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*
x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^4 + 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e)
+ tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e
)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^4 - 63000*pi*b*sgn(tan(1/2
*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan
(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*t
an(1/2*f*x)^3*tan(1/2*e)^5 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/
2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - ta
n(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^5 - 252000*pi*b*tan(1/2*f*x)^5*tan
(1/2*e)^5 + 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e)
 - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e)^5 + 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - ta
n(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2
*e)^5 - 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - t
an(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e)^5 - 252000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/
2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e)^
5 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 +
 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)
^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^7 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*
x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/
2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^7 - 126000*p
i*b*tan(1/2*f*x)^3*tan(1/2*e)^7 + 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(t
an(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^3*tan(1/2*e)^7 + 126000*b*arctan((tan(1/
2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*
tan(1/2*f*x)^3*tan(1/2*e)^7 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1
/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^3*tan(1/2*e)^7 - 126000*b*arctan((tan(1/2*f*
x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(
1/2*f*x)^3*tan(1/2*e)^7 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*
x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/
2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^8 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan
(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2
*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*e)^8 - 12600*pi*b*tan
(1/2*f*x)^2*tan(1/2*e)^8 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f
*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^2*tan(1/2*e)^8 + 12600*b*arctan((tan(1/2*f*x)*ta
n(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f
*x)^2*tan(1/2*e)^8 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*ta
n(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^2*tan(1/2*e)^8 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*
e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^2*
tan(1/2*e)^8 - 12600*pi*b*tan(1/2*f*x)*tan(1/2*e)^9 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) -
 tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)*tan(1/2*e)^9 + 12600*
b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - t
an(1/2*e) + 1))*tan(1/2*f*x)*tan(1/2*e)^9 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e
) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)*tan(1/2*e)^9 - 12600*b*arctan((
tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e)
- 1))*tan(1/2*f*x)*tan(1/2*e)^9 - 2520*pi*b*tan(1/2*e)^10 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f
*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*e)^10 + 2520*b*arctan
((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e
) + 1))*tan(1/2*e)^10 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*
tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*e)^10 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*
f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*e)^10 + 1575*pi*b*sg
n(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) -
 1)*tan(1/2*f*x)^8 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2
+ tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^8 + 3150*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)
^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^8 - 4096*a*tan(1/2*f*x)^10 + 24576*b*tan(1/2*f
*x)^10 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e
)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e) - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f
*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^7*tan(1/2*e) + 25200*pi*b*
sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^
7*tan(1/2*e) - 20480*a*tan(1/2*f*x)^9*tan(1/2*e) + 122880*b*tan(1/2*f*x)^9*tan(1/2*e) + 286720*a*tan(1/2*f*x)^
8*tan(1/2*e)^2 + 122880*b*tan(1/2*f*x)^8*tan(1/2*e)^2 + 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2
*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^3 - 63000*p
i*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*
f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e)^3 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1
/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^5*tan(1/2*e)^3 + 2211840*a*tan(1/2*f*x)^7*tan(1/2*e)^3 - 2
211840*b*tan(1/2*f*x)^7*tan(1/2*e)^3 - 7875*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2
 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^4 + 7875*pi*b*sgn(tan(1/2*f*x
)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f
*x)^4*tan(1/2*e)^4 - 15750*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) -
 tan(1/2*e)^2 + 1)*tan(1/2*f*x)^4*tan(1/2*e)^4 + 5181440*a*tan(1/2*f*x)^6*tan(1/2*e)^4 - 3440640*b*tan(1/2*f*x
)^6*tan(1/2*e)^4 + 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 +
 tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^5 - 63000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 -
 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^5
 + 126000*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1
)*tan(1/2*f*x)^3*tan(1/2*e)^5 + 7356416*a*tan(1/2*f*x)^5*tan(1/2*e)^5 - 7274496*b*tan(1/2*f*x)^5*tan(1/2*e)^5
+ 5181440*a*tan(1/2*f*x)^4*tan(1/2*e)^6 - 3440640*b*tan(1/2*f*x)^4*tan(1/2*e)^6 + 12600*pi*b*sgn(tan(1/2*f*x)^
2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x
)*tan(1/2*e)^7 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + t
an(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^7 + 25200*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan
(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)*tan(1/2*e)^7 + 2211840*a*tan(1/2*f*x)
^3*tan(1/2*e)^7 - 2211840*b*tan(1/2*f*x)^3*tan(1/2*e)^7 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/
2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^8 - 1575*pi*b*sgn(tan(1/2
*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1
/2*e)^8 + 3150*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^
2 + 1)*tan(1/2*e)^8 + 286720*a*tan(1/2*f*x)^2*tan(1/2*e)^8 + 122880*b*tan(1/2*f*x)^2*tan(1/2*e)^8 - 20480*a*ta
n(1/2*f*x)*tan(1/2*e)^9 + 122880*b*tan(1/2*f*x)*tan(1/2*e)^9 - 4096*a*tan(1/2*e)^10 + 24576*b*tan(1/2*e)^10 -
3150*pi*b*tan(1/2*f*x)^8 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*
x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^8 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(
1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^8 - 3150*b*
arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan
(1/2*e) - 1))*tan(1/2*f*x)^8 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/
2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^8 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^
2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2
*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1
/2*e) - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)
^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/
2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e) - 25200*pi*b*tan(1/2*f*x)^7*tan(1/2*e) + 25200*b*arctan
((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e
) + 1))*tan(1/2*f*x)^7*tan(1/2*e) + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(
tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^7*tan(1/2*e) - 25200*b*arctan((tan(1/2*
f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*ta
n(1/2*f*x)^7*tan(1/2*e) - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*
x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^7*tan(1/2*e) + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1
/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*t
an(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4
*tan(1/2*e)^2 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan
(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 +
 tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^2 - 31500*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 +
 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)
^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*
e)^3 - 31500*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^
2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2
*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^3 - 126000*pi*b*tan(1/2*f*x)^5*tan(1/2*e)^3 + 126000*b*a
rctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(
1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e)^3 + 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e
) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e)^3 - 126000*b*arcta
n((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*
e) - 1))*tan(1/2*f*x)^5*tan(1/2*e)^3 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) -
1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e)^3 + 6300*pi*b*sgn(tan(
1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(
tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1
)*tan(1/2*f*x)^2*tan(1/2*e)^4 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(
1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 -
tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^4 + 15750*pi*b*tan(1/2*f*x)^4*ta
n(1/2*e)^4 - 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e)
 - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^4*tan(1/2*e)^4 - 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan
(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^4*tan(1/2*
e)^4 + 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan
(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^4*tan(1/2*e)^4 + 15750*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f
*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^4*tan(1/2*e)^4 -
 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*
tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
+ 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^5 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^
2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f
*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^5 - 126000*pi*b
*tan(1/2*f*x)^3*tan(1/2*e)^5 + 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(
1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^3*tan(1/2*e)^5 + 126000*b*arctan((tan(1/2*f
*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan
(1/2*f*x)^3*tan(1/2*e)^5 - 126000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*
f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^3*tan(1/2*e)^5 - 126000*b*arctan((tan(1/2*f*x)*
tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2
*f*x)^3*tan(1/2*e)^5 - 25200*pi*b*tan(1/2*f*x)*tan(1/2*e)^7 + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/
2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)*tan(1/2*e)^7
+ 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*
f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)*tan(1/2*e)^7 - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + t
an(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)*tan(1/2*e)^7 - 25200*b*
arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan
(1/2*e) - 1))*tan(1/2*f*x)*tan(1/2*e)^7 - 3150*pi*b*tan(1/2*e)^8 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) + ta
n(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*e)^8 + 3150*b*
arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan
(1/2*e) + 1))*tan(1/2*e)^8 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*
f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*e)^8 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(
1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*e)^8 - 5120*a*ta
n(1/2*f*x)^8 + 30720*b*tan(1/2*f*x)^8 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)
^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^5*tan(1/2*e) - 12600*pi*b*sgn(tan(1/2*f*
x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*
f*x)^5*tan(1/2*e) + 25200*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) -
tan(1/2*e)^2 + 1)*tan(1/2*f*x)^5*tan(1/2*e) - 163840*a*tan(1/2*f*x)^7*tan(1/2*e) + 245760*b*tan(1/2*f*x)^7*tan
(1/2*e) - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e
)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^2 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*
f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4*tan(1/2*e)^2 - 12600*pi
*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*
x)^4*tan(1/2*e)^2 - 1024000*a*tan(1/2*f*x)^6*tan(1/2*e)^2 + 1720320*b*tan(1/2*f*x)^6*tan(1/2*e)^2 + 31500*pi*b
*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x
) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^3 - 31500*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2
- tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e)^3 + 63000*pi*b*sgn(tan(1/2*f*x
)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^3*tan(1/2*e)^3
- 2211840*a*tan(1/2*f*x)^5*tan(1/2*e)^3 + 2211840*b*tan(1/2*f*x)^5*tan(1/2*e)^3 - 6300*pi*b*sgn(tan(1/2*f*x)^2
*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)
^2*tan(1/2*e)^4 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + t
an(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^4 - 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - t
an(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^2*tan(1/2*e)^4 - 3200000*a*tan(1/2*
f*x)^4*tan(1/2*e)^4 + 4454400*b*tan(1/2*f*x)^4*tan(1/2*e)^4 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*t
an(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^5 - 126
00*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(
1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^5 + 25200*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(
1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)*tan(1/2*e)^5 - 2211840*a*tan(1/2*f*x)^3*tan(1/2*e)^5 + 22
11840*b*tan(1/2*f*x)^3*tan(1/2*e)^5 - 1024000*a*tan(1/2*f*x)^2*tan(1/2*e)^6 + 1720320*b*tan(1/2*f*x)^2*tan(1/2
*e)^6 - 163840*a*tan(1/2*f*x)*tan(1/2*e)^7 + 245760*b*tan(1/2*f*x)*tan(1/2*e)^7 - 5120*a*tan(1/2*e)^8 + 30720*
b*tan(1/2*e)^8 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - ta
n(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2
+ tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*
x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/
2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4 - 6300*pi*b*sgn(tan(1
/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(t
an(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)
*tan(1/2*f*x)^3*tan(1/2*e) - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2
*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan
(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e) - 25200*pi*b*tan(1/2*f*x)^5*tan(1/2
*e) + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(
1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e) + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x)
 + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^5*tan(1/2*e) - 2520
0*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) -
 tan(1/2*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e) - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2
*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^5*tan(1/2*e) + 5040*pi*b*sgn(
tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*
sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x)
 - 1)*tan(1/2*f*x)^2*tan(1/2*e)^2 + 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) +
tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^
2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^2 + 12600*pi*b*tan(1/2*f*x)^
4*tan(1/2*e)^2 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/
2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^4*tan(1/2*e)^2 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) -
 tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^4*tan(
1/2*e)^2 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) -
 tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^4*tan(1/2*e)^2 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1
/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^4*tan(1/2*e)
^2 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 +
 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)
^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^3 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x
)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2
*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^3 - 63000*pi*
b*tan(1/2*f*x)^3*tan(1/2*e)^3 + 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(
1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^3*tan(1/2*e)^3 + 63000*b*arctan((tan(1/2*f*
x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(
1/2*f*x)^3*tan(1/2*e)^3 - 63000*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*
x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^3*tan(1/2*e)^3 - 63000*b*arctan((tan(1/2*f*x)*tan
(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*
x)^3*tan(1/2*e)^3 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 -
 tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)
^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^4 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f
*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1
/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*e)^4 + 12600*pi*b*tan(1/2*f
*x)^2*tan(1/2*e)^4 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*ta
n(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^2*tan(1/2*e)^4 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*
e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^2*
tan(1/2*e)^4 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*
e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^2*tan(1/2*e)^4 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - t
an(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^2*tan(1/
2*e)^4 - 25200*pi*b*tan(1/2*f*x)*tan(1/2*e)^5 + 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1
/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)*tan(1/2*e)^5 + 25200*b*arct
an((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2
*e) + 1))*tan(1/2*f*x)*tan(1/2*e)^5 - 25200*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)
/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)*tan(1/2*e)^5 - 25200*b*arctan((tan(1/
2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*
tan(1/2*f*x)*tan(1/2*e)^5 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*
f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4 + 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan
(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^4 - 3150*pi*b*sgn(ta
n(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^4 + 20
480*a*tan(1/2*f*x)^6 + 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^
2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e) - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 -
 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^3*tan(1/2*e) +
 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*t
an(1/2*f*x)^3*tan(1/2*e) + 163840*a*tan(1/2*f*x)^5*tan(1/2*e) - 245760*b*tan(1/2*f*x)^5*tan(1/2*e) - 5040*pi*b
*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x
) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^2 + 5040*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 -
 tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2*tan(1/2*e)^2 - 10080*pi*b*sgn(tan(1/2*f*x)
^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^2*tan(1/2*e)^2 +
 286720*a*tan(1/2*f*x)^4*tan(1/2*e)^2 + 122880*b*tan(1/2*f*x)^4*tan(1/2*e)^2 + 6300*pi*b*sgn(tan(1/2*f*x)^2*ta
n(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*ta
n(1/2*e)^3 - 6300*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/
2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e)^3 + 12600*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*
f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)*tan(1/2*e)^3 + 512000*a*tan(1/2*f*x)^3*tan
(1/2*e)^3 - 614400*b*tan(1/2*f*x)^3*tan(1/2*e)^3 - 1575*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*
tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^4 + 1575*pi*b*sgn(tan(1/2*f*x)^2
*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*e)^4
 - 3150*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*
tan(1/2*e)^4 + 286720*a*tan(1/2*f*x)^2*tan(1/2*e)^4 + 122880*b*tan(1/2*f*x)^2*tan(1/2*e)^4 + 163840*a*tan(1/2*
f*x)*tan(1/2*e)^5 - 245760*b*tan(1/2*f*x)*tan(1/2*e)^5 + 20480*a*tan(1/2*e)^6 + 1260*pi*b*sgn(tan(1/2*f*x)^2*t
an(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)
^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*
x)^2 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2
 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*
e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2 + 3150*pi*b*tan(1/2*f*x)^4 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e)
+ tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^4 - 3
150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x)
 - tan(1/2*e) + 1))*tan(1/2*f*x)^4 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(
tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^4 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2
*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^4
 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2
*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2
 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e) - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*
tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x
)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e) - 12600*pi*b*tan(
1/2*f*x)^3*tan(1/2*e) + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)
*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^3*tan(1/2*e) + 12600*b*arctan((tan(1/2*f*x)*tan(1/2
*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^3
*tan(1/2*e) - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e
) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^3*tan(1/2*e) - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(
1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^3*tan(1/2*e
) + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 +
2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^
2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^2 + 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e)
 + tan(1/2*f*x)^2 - tan(1/2*e)^2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*
e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*e)^2 + 10080*pi*b*tan(1/2*f*x)^2*tan(1/2*e)
^2 - 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1
/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^2*tan(1/2*e)^2 - 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x
) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)^2*tan(1/2*e)^2 + 1
0080*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x
) - tan(1/2*e) - 1))*tan(1/2*f*x)^2*tan(1/2*e)^2 + 10080*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - ta
n(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^2*tan(1/2*e)^2 - 12600*p
i*b*tan(1/2*f*x)*tan(1/2*e)^3 + 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(
1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)*tan(1/2*e)^3 + 12600*b*arctan((tan(1/2*f*x)
*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/
2*f*x)*tan(1/2*e)^3 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*t
an(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)*tan(1/2*e)^3 - 12600*b*arctan((tan(1/2*f*x)*tan(1/2*e
) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)*tan
(1/2*e)^3 + 3150*pi*b*tan(1/2*e)^4 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(
tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*e)^4 - 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e
) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*e)^4 + 3
150*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x)
 - tan(1/2*e) - 1))*tan(1/2*e)^4 + 3150*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(ta
n(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*e)^4 - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)
^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)^2 + 1260*p
i*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*
f*x) - 1)*tan(1/2*f*x)^2 - 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2
*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)^2 - 5120*a*tan(1/2*f*x)^4 + 30720*b*tan(1/2*f*x)^4 + 1260*pi*b*sgn(tan(1/
2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(
1/2*f*x)*tan(1/2*e) - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2
 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*f*x)*tan(1/2*e) + 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - ta
n(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*tan(1/2*f*x)*tan(1/2*e) + 20480*a*tan(1/2*f*x)^3*
tan(1/2*e) - 122880*b*tan(1/2*f*x)^3*tan(1/2*e) - 1260*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*t
an(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1)*tan(1/2*e)^2 + 1260*pi*b*sgn(tan(1/2*f*x)^2*
tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1)*tan(1/2*e)^2
- 2520*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1)*t
an(1/2*e)^2 - 16384*a*tan(1/2*f*x)^2*tan(1/2*e)^2 + 98304*b*tan(1/2*f*x)^2*tan(1/2*e)^2 + 20480*a*tan(1/2*f*x)
*tan(1/2*e)^3 - 122880*b*tan(1/2*f*x)*tan(1/2*e)^3 - 5120*a*tan(1/2*e)^4 + 30720*b*tan(1/2*e)^4 + 315*pi*b*sgn
(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^2 + 2*tan(1/2*e) - 1)
*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x
) - 1) + 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^2*tan(1/2*e) + tan(1/2*f*x)^2 - tan(1/2*e)^
2 - 2*tan(1/2*e) - 1)*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2
*e)^2 - 2*tan(1/2*f*x) - 1) + 2520*pi*b*tan(1/2*f*x)^2 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x)
 - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)^2 - 2520*b*arctan((
tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e)
+ 1))*tan(1/2*f*x)^2 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*t
an(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)^2 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*
f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)^2 - 2520*pi*b*t
an(1/2*f*x)*tan(1/2*e) + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)
*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*f*x)*tan(1/2*e) + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e)
 - tan(1/2*f*x) + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*f*x)*tan(
1/2*e) - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - ta
n(1/2*f*x) - tan(1/2*e) - 1))*tan(1/2*f*x)*tan(1/2*e) - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x)
- tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*f*x)*tan(1/2*e) + 2520*pi
*b*tan(1/2*e)^2 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/
2*e) - tan(1/2*f*x) + tan(1/2*e) + 1))*tan(1/2*e)^2 - 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) +
tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1))*tan(1/2*e)^2 + 2520*b*arctan((tan(1
/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1))
*tan(1/2*e)^2 + 2520*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*
e) + tan(1/2*f*x) + tan(1/2*e) - 1))*tan(1/2*e)^2 - 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)*
tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) - 1) + 315*pi*b*sgn(tan(1/2*f*x)^2*tan(1/2*e)^2
- 2*tan(1/2*f*x)*tan(1/2*e)^2 - tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 1) - 630*pi*b*sgn(tan(1/2*f*x
)^2*tan(1/2*e)^2 - tan(1/2*f*x)^2 - 4*tan(1/2*f*x)*tan(1/2*e) - tan(1/2*e)^2 + 1) - 4096*a*tan(1/2*f*x)^2 + 24
576*b*tan(1/2*f*x)^2 + 4096*a*tan(1/2*f*x)*tan(1/2*e) - 24576*b*tan(1/2*f*x)*tan(1/2*e) - 4096*a*tan(1/2*e)^2
+ 24576*b*tan(1/2*e)^2 + 630*pi*b - 630*b*arctan((tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)/(ta
n(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) + tan(1/2*e) + 1)) - 630*b*arctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x)
 + tan(1/2*e) + 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) - tan(1/2*e) + 1)) + 630*b*arctan((tan(1/2*f*x)*tan
(1/2*e) + tan(1/2*f*x) + tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)) + 630*b*ar
ctan((tan(1/2*f*x)*tan(1/2*e) - tan(1/2*f*x) - tan(1/2*e) - 1)/(tan(1/2*f*x)*tan(1/2*e) + tan(1/2*f*x) + tan(1
/2*e) - 1)) - 1024*a + 6144*b)/(f*tan(1/2*f*x)^12*tan(1/2*e)^12 + 4*f*tan(1/2*f*x)^12*tan(1/2*e)^10 - 4*f*tan(
1/2*f*x)^11*tan(1/2*e)^11 + 4*f*tan(1/2*f*x)^10*tan(1/2*e)^12 + 5*f*tan(1/2*f*x)^12*tan(1/2*e)^8 - 20*f*tan(1/
2*f*x)^11*tan(1/2*e)^9 + 16*f*tan(1/2*f*x)^10*tan(1/2*e)^10 - 20*f*tan(1/2*f*x)^9*tan(1/2*e)^11 + 5*f*tan(1/2*
f*x)^8*tan(1/2*e)^12 - 40*f*tan(1/2*f*x)^11*tan(1/2*e)^7 + 20*f*tan(1/2*f*x)^10*tan(1/2*e)^8 - 100*f*tan(1/2*f
*x)^9*tan(1/2*e)^9 + 20*f*tan(1/2*f*x)^8*tan(1/2*e)^10 - 40*f*tan(1/2*f*x)^7*tan(1/2*e)^11 - 5*f*tan(1/2*f*x)^
12*tan(1/2*e)^4 - 40*f*tan(1/2*f*x)^11*tan(1/2*e)^5 - 200*f*tan(1/2*f*x)^9*tan(1/2*e)^7 + 25*f*tan(1/2*f*x)^8*
tan(1/2*e)^8 - 200*f*tan(1/2*f*x)^7*tan(1/2*e)^9 - 40*f*tan(1/2*f*x)^5*tan(1/2*e)^11 - 5*f*tan(1/2*f*x)^4*tan(
1/2*e)^12 - 4*f*tan(1/2*f*x)^12*tan(1/2*e)^2 - 20*f*tan(1/2*f*x)^11*tan(1/2*e)^3 - 20*f*tan(1/2*f*x)^10*tan(1/
2*e)^4 - 200*f*tan(1/2*f*x)^9*tan(1/2*e)^5 - 400*f*tan(1/2*f*x)^7*tan(1/2*e)^7 - 200*f*tan(1/2*f*x)^5*tan(1/2*
e)^9 - 20*f*tan(1/2*f*x)^4*tan(1/2*e)^10 - 20*f*tan(1/2*f*x)^3*tan(1/2*e)^11 - 4*f*tan(1/2*f*x)^2*tan(1/2*e)^1
2 - f*tan(1/2*f*x)^12 - 4*f*tan(1/2*f*x)^11*tan(1/2*e) - 16*f*tan(1/2*f*x)^10*tan(1/2*e)^2 - 100*f*tan(1/2*f*x
)^9*tan(1/2*e)^3 - 25*f*tan(1/2*f*x)^8*tan(1/2*e)^4 - 400*f*tan(1/2*f*x)^7*tan(1/2*e)^5 - 400*f*tan(1/2*f*x)^5
*tan(1/2*e)^7 - 25*f*tan(1/2*f*x)^4*tan(1/2*e)^8 - 100*f*tan(1/2*f*x)^3*tan(1/2*e)^9 - 16*f*tan(1/2*f*x)^2*tan
(1/2*e)^10 - 4*f*tan(1/2*f*x)*tan(1/2*e)^11 - f*tan(1/2*e)^12 - 4*f*tan(1/2*f*x)^10 - 20*f*tan(1/2*f*x)^9*tan(
1/2*e) - 20*f*tan(1/2*f*x)^8*tan(1/2*e)^2 - 200*f*tan(1/2*f*x)^7*tan(1/2*e)^3 - 400*f*tan(1/2*f*x)^5*tan(1/2*e
)^5 - 200*f*tan(1/2*f*x)^3*tan(1/2*e)^7 - 20*f*tan(1/2*f*x)^2*tan(1/2*e)^8 - 20*f*tan(1/2*f*x)*tan(1/2*e)^9 -
4*f*tan(1/2*e)^10 - 5*f*tan(1/2*f*x)^8 - 40*f*tan(1/2*f*x)^7*tan(1/2*e) - 200*f*tan(1/2*f*x)^5*tan(1/2*e)^3 +
25*f*tan(1/2*f*x)^4*tan(1/2*e)^4 - 200*f*tan(1/2*f*x)^3*tan(1/2*e)^5 - 40*f*tan(1/2*f*x)*tan(1/2*e)^7 - 5*f*ta
n(1/2*e)^8 - 40*f*tan(1/2*f*x)^5*tan(1/2*e) + 20*f*tan(1/2*f*x)^4*tan(1/2*e)^2 - 100*f*tan(1/2*f*x)^3*tan(1/2*
e)^3 + 20*f*tan(1/2*f*x)^2*tan(1/2*e)^4 - 40*f*tan(1/2*f*x)*tan(1/2*e)^5 + 5*f*tan(1/2*f*x)^4 - 20*f*tan(1/2*f
*x)^3*tan(1/2*e) + 16*f*tan(1/2*f*x)^2*tan(1/2*e)^2 - 20*f*tan(1/2*f*x)*tan(1/2*e)^3 + 5*f*tan(1/2*e)^4 + 4*f*
tan(1/2*f*x)^2 - 4*f*tan(1/2*f*x)*tan(1/2*e) + 4*f*tan(1/2*e)^2 + f)

Mupad [B] (verification not implemented)

Time = 10.47 (sec) , antiderivative size = 92, normalized size of antiderivative = 1.31 \[ \int \sin ^5(e+f x) \left (a+b \tan ^2(e+f x)\right ) \, dx=-\frac {\frac {5\,a}{16}-\frac {35\,b}{16}+\frac {25\,a\,\cos \left (2\,e+2\,f\,x\right )}{96}-\frac {11\,a\,\cos \left (4\,e+4\,f\,x\right )}{240}+\frac {a\,\cos \left (6\,e+6\,f\,x\right )}{160}-\frac {35\,b\,\cos \left (2\,e+2\,f\,x\right )}{32}+\frac {7\,b\,\cos \left (4\,e+4\,f\,x\right )}{80}-\frac {b\,\cos \left (6\,e+6\,f\,x\right )}{160}}{f\,\cos \left (e+f\,x\right )} \]

[In]

int(sin(e + f*x)^5*(a + b*tan(e + f*x)^2),x)

[Out]

-((5*a)/16 - (35*b)/16 + (25*a*cos(2*e + 2*f*x))/96 - (11*a*cos(4*e + 4*f*x))/240 + (a*cos(6*e + 6*f*x))/160 -
 (35*b*cos(2*e + 2*f*x))/32 + (7*b*cos(4*e + 4*f*x))/80 - (b*cos(6*e + 6*f*x))/160)/(f*cos(e + f*x))