3.22.61 \(\int \frac {\sqrt {c+d x}}{\sqrt {a+b x} (e+f x)} \, dx\)

Optimal. Leaf size=119 \[ \frac {2 \sqrt {d} \tanh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b} \sqrt {c+d x}}\right )}{\sqrt {b} f}-\frac {2 \sqrt {d e-c f} \tanh ^{-1}\left (\frac {\sqrt {a+b x} \sqrt {d e-c f}}{\sqrt {c+d x} \sqrt {b e-a f}}\right )}{f \sqrt {b e-a f}} \]

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Rubi [A]  time = 0.07, antiderivative size = 119, normalized size of antiderivative = 1.00, number of steps used = 6, number of rules used = 6, integrand size = 26, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.231, Rules used = {105, 63, 217, 206, 93, 208} \begin {gather*} \frac {2 \sqrt {d} \tanh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b} \sqrt {c+d x}}\right )}{\sqrt {b} f}-\frac {2 \sqrt {d e-c f} \tanh ^{-1}\left (\frac {\sqrt {a+b x} \sqrt {d e-c f}}{\sqrt {c+d x} \sqrt {b e-a f}}\right )}{f \sqrt {b e-a f}} \end {gather*}

Antiderivative was successfully verified.

[In]

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

[Out]

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

Rule 63

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

Rule 93

Int[(((a_.) + (b_.)*(x_))^(m_)*((c_.) + (d_.)*(x_))^(n_))/((e_.) + (f_.)*(x_)), x_Symbol] :> With[{q = Denomin
ator[m]}, Dist[q, Subst[Int[x^(q*(m + 1) - 1)/(b*e - a*f - (d*e - c*f)*x^q), x], x, (a + b*x)^(1/q)/(c + d*x)^
(1/q)], x]] /; FreeQ[{a, b, c, d, e, f}, x] && EqQ[m + n + 1, 0] && RationalQ[n] && LtQ[-1, m, 0] && SimplerQ[
a + b*x, c + d*x]

Rule 105

Int[(((a_.) + (b_.)*(x_))^(m_)*((c_.) + (d_.)*(x_))^(n_))/((e_.) + (f_.)*(x_)), x_Symbol] :> Dist[b/f, Int[(a
+ b*x)^(m - 1)*(c + d*x)^n, x], x] - Dist[(b*e - a*f)/f, Int[((a + b*x)^(m - 1)*(c + d*x)^n)/(e + f*x), x], x]
/; FreeQ[{a, b, c, d, e, f, m, n}, x] && IGtQ[Simplify[m + n + 1], 0] && (GtQ[m, 0] || ( !RationalQ[m] && (Su
mSimplerQ[m, -1] ||  !SumSimplerQ[n, -1])))

Rule 206

Int[((a_) + (b_.)*(x_)^2)^(-1), x_Symbol] :> Simp[(1*ArcTanh[(Rt[-b, 2]*x)/Rt[a, 2]])/(Rt[a, 2]*Rt[-b, 2]), x]
/; FreeQ[{a, b}, x] && NegQ[a/b] && (GtQ[a, 0] || LtQ[b, 0])

Rule 208

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

Rule 217

Int[1/Sqrt[(a_) + (b_.)*(x_)^2], x_Symbol] :> Subst[Int[1/(1 - b*x^2), x], x, x/Sqrt[a + b*x^2]] /; FreeQ[{a,
b}, x] &&  !GtQ[a, 0]

Rubi steps

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

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Mathematica [A]  time = 0.45, size = 152, normalized size = 1.28 \begin {gather*} \frac {2 \left (\frac {\sqrt {d} \sqrt {c+d x} \sinh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b c-a d}}\right )}{\sqrt {b c-a d} \sqrt {\frac {b (c+d x)}{b c-a d}}}-\frac {\sqrt {d e-c f} \tanh ^{-1}\left (\frac {\sqrt {a+b x} \sqrt {d e-c f}}{\sqrt {c+d x} \sqrt {b e-a f}}\right )}{\sqrt {b e-a f}}\right )}{f} \end {gather*}

Antiderivative was successfully verified.

[In]

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

[Out]

(2*((Sqrt[d]*Sqrt[c + d*x]*ArcSinh[(Sqrt[d]*Sqrt[a + b*x])/Sqrt[b*c - a*d]])/(Sqrt[b*c - a*d]*Sqrt[(b*(c + d*x
))/(b*c - a*d)]) - (Sqrt[d*e - c*f]*ArcTanh[(Sqrt[d*e - c*f]*Sqrt[a + b*x])/(Sqrt[b*e - a*f]*Sqrt[c + d*x])])/
Sqrt[b*e - a*f]))/f

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IntegrateAlgebraic [B]  time = 0.76, size = 307, normalized size = 2.58 \begin {gather*} -\frac {2 \sqrt {d} \sqrt {\frac {b}{d}} \sqrt {c f-d e} \tan ^{-1}\left (\frac {\sqrt {b} f (c+d x)}{\sqrt {d} \sqrt {b e-a f} \sqrt {c f-d e}}-\frac {\sqrt {d} f \sqrt {\frac {b}{d}} \sqrt {c+d x} \sqrt {a+\frac {b (c+d x)}{d}-\frac {b c}{d}}}{\sqrt {b} \sqrt {b e-a f} \sqrt {c f-d e}}+\frac {\sqrt {b} \sqrt {d} e}{\sqrt {b e-a f} \sqrt {c f-d e}}-\frac {\sqrt {b} c f}{\sqrt {d} \sqrt {b e-a f} \sqrt {c f-d e}}\right )}{\sqrt {b} f \sqrt {b e-a f}}-\frac {2 d \sqrt {\frac {b}{d}} \log \left (\sqrt {a+\frac {b (c+d x)}{d}-\frac {b c}{d}}-\sqrt {\frac {b}{d}} \sqrt {c+d x}\right )}{b f} \end {gather*}

Antiderivative was successfully verified.

[In]

IntegrateAlgebraic[Sqrt[c + d*x]/(Sqrt[a + b*x]*(e + f*x)),x]

[Out]

(-2*Sqrt[b/d]*Sqrt[d]*Sqrt[-(d*e) + c*f]*ArcTan[(Sqrt[b]*Sqrt[d]*e)/(Sqrt[b*e - a*f]*Sqrt[-(d*e) + c*f]) - (Sq
rt[b]*c*f)/(Sqrt[d]*Sqrt[b*e - a*f]*Sqrt[-(d*e) + c*f]) + (Sqrt[b]*f*(c + d*x))/(Sqrt[d]*Sqrt[b*e - a*f]*Sqrt[
-(d*e) + c*f]) - (Sqrt[b/d]*Sqrt[d]*f*Sqrt[c + d*x]*Sqrt[a - (b*c)/d + (b*(c + d*x))/d])/(Sqrt[b]*Sqrt[b*e - a
*f]*Sqrt[-(d*e) + c*f])])/(Sqrt[b]*f*Sqrt[b*e - a*f]) - (2*Sqrt[b/d]*d*Log[-(Sqrt[b/d]*Sqrt[c + d*x]) + Sqrt[a
- (b*c)/d + (b*(c + d*x))/d]])/(b*f)

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fricas [B]  time = 20.41, size = 1358, normalized size = 11.41

result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

[1/2*(sqrt(d/b)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b^2*d*x + b^2*c + a*b*d)*sqrt(b*x + a
)*sqrt(d*x + c)*sqrt(d/b) + 8*(b^2*c*d + a*b*d^2)*x) + sqrt((d*e - c*f)/(b*e - a*f))*log((8*a^2*c^2*f^2 + (b^2
*c^2 + 6*a*b*c*d + a^2*d^2)*e^2 - 8*(a*b*c^2 + a^2*c*d)*e*f + (8*b^2*d^2*e^2 - 8*(b^2*c*d + a*b*d^2)*e*f + (b^
2*c^2 + 6*a*b*c*d + a^2*d^2)*f^2)*x^2 - 4*(2*a^2*c*f^2 + (b^2*c + a*b*d)*e^2 - (3*a*b*c + a^2*d)*e*f + (2*b^2*
d*e^2 - (b^2*c + 3*a*b*d)*e*f + (a*b*c + a^2*d)*f^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt((d*e - c*f)/(b*e - a*
f)) + 2*(4*(b^2*c*d + a*b*d^2)*e^2 - (3*b^2*c^2 + 10*a*b*c*d + 3*a^2*d^2)*e*f + 4*(a*b*c^2 + a^2*c*d)*f^2)*x)/
(f^2*x^2 + 2*e*f*x + e^2)))/f, 1/2*(2*sqrt(-(d*e - c*f)/(b*e - a*f))*arctan(-1/2*(2*a*c*f - (b*c + a*d)*e - (2
*b*d*e - (b*c + a*d)*f)*x)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-(d*e - c*f)/(b*e - a*f))/(a*c*d*e - a*c^2*f + (b*
d^2*e - b*c*d*f)*x^2 + ((b*c*d + a*d^2)*e - (b*c^2 + a*c*d)*f)*x)) + sqrt(d/b)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6
*a*b*c*d + a^2*d^2 + 4*(2*b^2*d*x + b^2*c + a*b*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(d/b) + 8*(b^2*c*d + a*b*d^
2)*x))/f, -1/2*(2*sqrt(-d/b)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-d/b)/(b*d^2*x^
2 + a*c*d + (b*c*d + a*d^2)*x)) - sqrt((d*e - c*f)/(b*e - a*f))*log((8*a^2*c^2*f^2 + (b^2*c^2 + 6*a*b*c*d + a^
2*d^2)*e^2 - 8*(a*b*c^2 + a^2*c*d)*e*f + (8*b^2*d^2*e^2 - 8*(b^2*c*d + a*b*d^2)*e*f + (b^2*c^2 + 6*a*b*c*d + a
^2*d^2)*f^2)*x^2 - 4*(2*a^2*c*f^2 + (b^2*c + a*b*d)*e^2 - (3*a*b*c + a^2*d)*e*f + (2*b^2*d*e^2 - (b^2*c + 3*a*
b*d)*e*f + (a*b*c + a^2*d)*f^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt((d*e - c*f)/(b*e - a*f)) + 2*(4*(b^2*c*d +
a*b*d^2)*e^2 - (3*b^2*c^2 + 10*a*b*c*d + 3*a^2*d^2)*e*f + 4*(a*b*c^2 + a^2*c*d)*f^2)*x)/(f^2*x^2 + 2*e*f*x +
e^2)))/f, (sqrt(-(d*e - c*f)/(b*e - a*f))*arctan(-1/2*(2*a*c*f - (b*c + a*d)*e - (2*b*d*e - (b*c + a*d)*f)*x)*
sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-(d*e - c*f)/(b*e - a*f))/(a*c*d*e - a*c^2*f + (b*d^2*e - b*c*d*f)*x^2 + ((b*
c*d + a*d^2)*e - (b*c^2 + a*c*d)*f)*x)) - sqrt(-d/b)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x +
c)*sqrt(-d/b)/(b*d^2*x^2 + a*c*d + (b*c*d + a*d^2)*x)))/f]

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giac [F(-2)]  time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Exception raised: TypeError} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:

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maple [B]  time = 0.03, size = 300, normalized size = 2.52 \begin {gather*} \frac {\left (-\sqrt {b d}\, c f \ln \left (\frac {a d f x +b c f x -2 b d e x +2 a c f -a d e -b c e +2 \sqrt {\left (b x +a \right ) \left (d x +c \right )}\, \sqrt {\frac {\left (c f -d e \right ) \left (a f -b e \right )}{f^{2}}}\, f}{f x +e}\right )+\sqrt {b d}\, d e \ln \left (\frac {a d f x +b c f x -2 b d e x +2 a c f -a d e -b c e +2 \sqrt {\left (b x +a \right ) \left (d x +c \right )}\, \sqrt {\frac {\left (c f -d e \right ) \left (a f -b e \right )}{f^{2}}}\, f}{f x +e}\right )+\sqrt {\frac {\left (c f -d e \right ) \left (a f -b e \right )}{f^{2}}}\, d f \ln \left (\frac {2 b d x +a d +b c +2 \sqrt {\left (b x +a \right ) \left (d x +c \right )}\, \sqrt {b d}}{2 \sqrt {b d}}\right )\right ) \sqrt {b x +a}\, \sqrt {d x +c}}{\sqrt {\frac {\left (c f -d e \right ) \left (a f -b e \right )}{f^{2}}}\, \sqrt {b d}\, \sqrt {\left (b x +a \right ) \left (d x +c \right )}\, f^{2}} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

(ln(1/2*(2*b*d*x+a*d+b*c+2*((b*x+a)*(d*x+c))^(1/2)*(b*d)^(1/2))/(b*d)^(1/2))*d*f*((c*f-d*e)*(a*f-b*e)/f^2)^(1/
2)-ln((a*d*f*x+b*c*f*x-2*b*d*e*x+2*a*c*f-a*d*e-b*c*e+2*((b*x+a)*(d*x+c))^(1/2)*((c*f-d*e)*(a*f-b*e)/f^2)^(1/2)
*f)/(f*x+e))*c*f*(b*d)^(1/2)+ln((a*d*f*x+b*c*f*x-2*b*d*e*x+2*a*c*f-a*d*e-b*c*e+2*((b*x+a)*(d*x+c))^(1/2)*((c*f
-d*e)*(a*f-b*e)/f^2)^(1/2)*f)/(f*x+e))*d*e*(b*d)^(1/2))*(b*x+a)^(1/2)*(d*x+c)^(1/2)/((c*f-d*e)*(a*f-b*e)/f^2)^
(1/2)/(b*d)^(1/2)/f^2/((b*x+a)*(d*x+c))^(1/2)

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(((a*d)/f>0)', see `assume?` fo
r more details)Is ((a*d)/f    +(b*c)/f    -(2*b*d*e)/f^2)    ^2    -(4*b*d       *((-(a*d*e)/f)        -(b*c*e
)/f        +(b*d*e^2)/f^2        +a*c))     /f^2 zero or nonzero?

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mupad [B]  time = 107.43, size = 39144, normalized size = 328.94

result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

- (d^(1/2)*atan(((d^(1/2)*((65536*(24*a^(1/2)*b^8*c^(7/2)*d^5*e^4 - 24*a^(3/2)*b^7*c^(5/2)*d^6*e^4 - 24*a^(5/2
)*b^6*c^(3/2)*d^7*e^4 + 24*a^(7/2)*b^5*c^(1/2)*d^8*e^4 - 40*a^(3/2)*b^7*c^(13/2)*d^2*f^4 + 8*a^(5/2)*b^6*c^(11
/2)*d^3*f^4 + 24*a^(7/2)*b^5*c^(9/2)*d^4*f^4 - 32*a^(9/2)*b^4*c^(7/2)*d^5*f^4 + 16*a^(11/2)*b^3*c^(5/2)*d^6*f^
4 + 24*a^(1/2)*b^8*c^(15/2)*d*f^4 - 108*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f + 176*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f - 72
*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f + 48*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f - 44*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f - 108*a^(
1/2)*b^8*c^(13/2)*d^2*e*f^3 + 208*a^(3/2)*b^7*c^(11/2)*d^3*e*f^3 - 136*a^(5/2)*b^6*c^(9/2)*d^4*e*f^3 + 48*a^(7
/2)*b^5*c^(7/2)*d^5*e*f^3 + 20*a^(9/2)*b^4*c^(5/2)*d^6*e*f^3 - 32*a^(11/2)*b^3*c^(3/2)*d^7*e*f^3 + 168*a^(1/2)
*b^8*c^(11/2)*d^3*e^2*f^2 - 320*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^2 + 224*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^2 - 144*a^
(7/2)*b^5*c^(5/2)*d^6*e^2*f^2 + 56*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^2 + 16*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^2))/(d^
17*e^8) + (2*d^(1/2)*((2*d^(1/2)*((65536*(44*a^(5/2)*b^7*c^(11/2)*d^2*f^6 - 4*a^(1/2)*b^9*c^(15/2)*f^6 - 4*a^(
7/2)*b^6*c^(9/2)*d^3*f^6 - 24*a^(9/2)*b^5*c^(7/2)*d^4*f^6 + 28*a^(11/2)*b^4*c^(5/2)*d^5*f^6 - 16*a^(13/2)*b^3*
c^(3/2)*d^6*f^6 - 24*a^(3/2)*b^8*c^(13/2)*d*f^6 + 51*a^(1/2)*b^9*c^(13/2)*d*e*f^5 + 16*a^(3/2)*b^8*c^(11/2)*d^
2*e*f^5 - 150*a^(5/2)*b^7*c^(9/2)*d^3*e*f^5 + 116*a^(7/2)*b^6*c^(7/2)*d^4*e*f^5 - 85*a^(9/2)*b^5*c^(5/2)*d^5*e
*f^5 + 36*a^(11/2)*b^4*c^(3/2)*d^6*e*f^5 + 16*a^(13/2)*b^3*c^(1/2)*d^7*e*f^5 - 36*a^(1/2)*b^9*c^(7/2)*d^4*e^4*
f^2 + 36*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^2 + 36*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^2 - 36*a^(7/2)*b^6*c^(1/2)*d^7*e^4
*f^2 + 127*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^3 - 180*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^3 + 66*a^(5/2)*b^7*c^(5/2)*d^5*
e^3*f^3 - 100*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^3 + 87*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^3 - 138*a^(1/2)*b^9*c^(11/2)*
d^2*e^2*f^4 + 152*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^4 + 4*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^4 + 24*a^(7/2)*b^6*c^(5/2)
*d^5*e^2*f^4 + 22*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^4 - 64*a^(11/2)*b^4*c^(1/2)*d^7*e^2*f^4))/(d^17*e^8) + (2*d^(1
/2)*((65536*(4*b^10*c^7*e*f^6 - 4*a*b^9*c^7*f^7 + 12*a^3*b^7*c^5*d^2*f^7 - 44*a^4*b^6*c^4*d^3*f^7 + 24*a^5*b^5
*c^3*d^4*f^7 + 3*a^4*b^6*d^7*e^4*f^3 - 3*a^5*b^5*d^7*e^3*f^4 + 3*b^10*c^4*d^3*e^4*f^3 - 2*b^10*c^5*d^2*e^3*f^4
+ 12*a^2*b^8*c^6*d*f^7 - 5*b^10*c^6*d*e^2*f^5 + 12*a*b^9*c^3*d^4*e^4*f^3 - 39*a*b^9*c^4*d^3*e^3*f^4 + 38*a*b^
9*c^5*d^2*e^2*f^5 - 48*a^2*b^8*c^5*d^2*e*f^6 + 12*a^3*b^7*c*d^6*e^4*f^3 + 50*a^3*b^7*c^4*d^3*e*f^6 - 42*a^4*b^
6*c*d^6*e^3*f^4 + 52*a^4*b^6*c^3*d^4*e*f^6 + 30*a^5*b^5*c*d^6*e^2*f^5 - 51*a^5*b^5*c^2*d^5*e*f^6 - 7*a*b^9*c^6
*d*e*f^6 - 30*a^2*b^8*c^2*d^5*e^4*f^3 + 36*a^2*b^8*c^3*d^4*e^3*f^4 + 30*a^2*b^8*c^4*d^3*e^2*f^5 + 50*a^3*b^7*c
^2*d^5*e^3*f^4 - 124*a^3*b^7*c^3*d^4*e^2*f^5 + 31*a^4*b^6*c^2*d^5*e^2*f^5))/(d^17*e^8) + (2*d^(1/2)*((65536*(4
*a^(3/2)*b^9*c^(13/2)*f^8 - 4*a^(7/2)*b^7*c^(9/2)*d^2*f^8 - 4*a^(9/2)*b^6*c^(7/2)*d^3*f^8 + 4*a^(13/2)*b^4*c^(
3/2)*d^5*f^8 - 4*a^(1/2)*b^10*c^(13/2)*e*f^7 - 23*a^(3/2)*b^9*c^(11/2)*d*e*f^7 + 23*a^(1/2)*b^10*c^(11/2)*d*e^
2*f^6 + 32*a^(5/2)*b^8*c^(9/2)*d^2*e*f^7 - 10*a^(7/2)*b^7*c^(7/2)*d^3*e*f^7 + 32*a^(9/2)*b^6*c^(5/2)*d^4*e*f^7
- 23*a^(11/2)*b^5*c^(3/2)*d^5*e*f^7 - 4*a^(13/2)*b^4*c^(1/2)*d^6*e*f^7 + 12*a^(1/2)*b^10*c^(7/2)*d^3*e^4*f^4
- 12*a^(3/2)*b^9*c^(5/2)*d^4*e^4*f^4 - 12*a^(5/2)*b^8*c^(3/2)*d^5*e^4*f^4 + 12*a^(7/2)*b^7*c^(1/2)*d^6*e^4*f^4
- 31*a^(1/2)*b^10*c^(9/2)*d^2*e^3*f^5 + 28*a^(3/2)*b^9*c^(7/2)*d^3*e^3*f^5 + 6*a^(5/2)*b^8*c^(5/2)*d^4*e^3*f^
5 + 28*a^(7/2)*b^7*c^(3/2)*d^5*e^3*f^5 - 31*a^(9/2)*b^6*c^(1/2)*d^6*e^3*f^5 + 3*a^(3/2)*b^9*c^(9/2)*d^2*e^2*f^
6 - 26*a^(5/2)*b^8*c^(7/2)*d^3*e^2*f^6 - 26*a^(7/2)*b^7*c^(5/2)*d^4*e^2*f^6 + 3*a^(9/2)*b^6*c^(3/2)*d^5*e^2*f^
6 + 23*a^(11/2)*b^5*c^(1/2)*d^6*e^2*f^6))/(d^17*e^8) - (65536*((a + b*x)^(1/2) - a^(1/2))*(8*a*b^9*c^7*f^8 - 8
*b^10*c^7*e*f^7 + 72*a^3*b^7*c^5*d^2*f^8 - 100*a^4*b^6*c^4*d^3*f^8 + 72*a^5*b^5*c^3*d^4*f^8 - 30*a^6*b^4*c^2*d
^5*f^8 + 3*a^4*b^6*d^7*e^4*f^4 - 13*a^5*b^5*d^7*e^3*f^5 + 18*a^6*b^4*d^7*e^2*f^6 + 3*b^10*c^4*d^3*e^4*f^4 - 13
*b^10*c^5*d^2*e^3*f^5 - 30*a^2*b^8*c^6*d*f^8 + 8*a^7*b^3*c*d^6*f^8 - 8*a^7*b^3*d^7*e*f^7 + 18*b^10*c^6*d*e^2*f
^6 + 12*a^6*b^4*c*d^6*e*f^7 + 12*a*b^9*c^3*d^4*e^4*f^4 - 9*a*b^9*c^4*d^3*e^3*f^5 - 23*a*b^9*c^5*d^2*e^2*f^6 -
36*a^2*b^8*c^5*d^2*e*f^7 + 12*a^3*b^7*c*d^6*e^4*f^4 + 32*a^3*b^7*c^4*d^3*e*f^7 - 9*a^4*b^6*c*d^6*e^3*f^5 + 32*
a^4*b^6*c^3*d^4*e*f^7 - 23*a^5*b^5*c*d^6*e^2*f^6 - 36*a^5*b^5*c^2*d^5*e*f^7 + 12*a*b^9*c^6*d*e*f^7 - 30*a^2*b^
8*c^2*d^5*e^4*f^4 + 22*a^2*b^8*c^3*d^4*e^3*f^5 + 74*a^2*b^8*c^4*d^3*e^2*f^6 + 22*a^3*b^7*c^2*d^5*e^3*f^5 - 138
*a^3*b^7*c^3*d^4*e^2*f^6 + 74*a^4*b^6*c^2*d^5*e^2*f^6))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) +
(65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(7/2)*b^6*c^(9/2)*d^3*f^7 - 72*a^(5/2)*b^7*c^(11/2)*d^2*f^7 - 40*a^(
9/2)*b^5*c^(7/2)*d^4*f^7 + 16*a^(3/2)*b^8*c^(13/2)*d*f^7 - 16*a^(1/2)*b^9*c^(13/2)*d*e*f^6 + 52*a^(3/2)*b^8*c^
(11/2)*d^2*e*f^6 + 36*a^(5/2)*b^7*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^6*c^(7/2)*d^4*e*f^6 + 92*a^(9/2)*b^5*c^(5/
2)*d^5*e*f^6 - 12*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^7*c^(3/2
)*d^6*e^4*f^3 - 12*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^3 + 8*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^4 + 60*a^(3/2)*b^8*c^(7/2
)*d^4*e^3*f^4 - 132*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^4 + 52*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^4 + 12*a^(9/2)*b^5*c^(1
/2)*d^7*e^3*f^4 + 20*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^5 - 140*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^5 + 156*a^(5/2)*b^7*
c^(7/2)*d^4*e^2*f^5 + 28*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^5 - 64*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^5))/(d^17*e^8*((c
+ d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(8*b^9*c^8*f^6 - 48*a^2*b^7*c^6*d^
2*f^6 + 136*a^3*b^6*c^5*d^3*f^6 - 240*a^4*b^5*c^4*d^4*f^6 + 228*a^5*b^4*c^3*d^5*f^6 - 120*a^6*b^3*c^2*d^6*f^6
+ 9*a^4*b^5*d^8*e^4*f^2 - 48*a^5*b^4*d^8*e^3*f^3 + 72*a^6*b^3*d^8*e^2*f^4 + 9*b^9*c^4*d^4*e^4*f^2 - 58*b^9*c^5
*d^3*e^3*f^3 + 101*b^9*c^6*d^2*e^2*f^4 + 4*a*b^8*c^7*d*f^6 - 60*b^9*c^7*d*e*f^5 + 32*a^7*b^2*c*d^7*f^6 - 32*a^
7*b^2*d^8*e*f^5 + 116*a*b^8*c^6*d^2*e*f^5 + 48*a^6*b^3*c*d^7*e*f^5 + 36*a*b^8*c^3*d^5*e^4*f^2 - 156*a*b^8*c^5*
d^3*e^2*f^4 - 208*a^2*b^7*c^5*d^3*e*f^5 + 36*a^3*b^6*c*d^7*e^4*f^2 + 288*a^3*b^6*c^4*d^4*e*f^5 + 30*a^4*b^5*c*
d^7*e^3*f^3 - 132*a^4*b^5*c^3*d^5*e*f^5 - 160*a^5*b^4*c*d^7*e^2*f^4 - 20*a^5*b^4*c^2*d^6*e*f^5 - 90*a^2*b^7*c^
2*d^6*e^4*f^2 + 108*a^2*b^7*c^3*d^5*e^3*f^3 + 238*a^2*b^7*c^4*d^4*e^2*f^4 - 32*a^3*b^6*c^2*d^6*e^3*f^3 - 428*a
^3*b^6*c^3*d^5*e^2*f^4 + 333*a^4*b^5*c^2*d^6*e^2*f^4))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) -
(65536*(60*a^2*b^7*c^6*d^2*f^5 - 4*b^9*c^8*f^5 - 100*a^3*b^6*c^5*d^3*f^5 + 24*a^4*b^5*c^4*d^4*f^5 + 36*a^5*b^4
*c^3*d^5*f^5 - 16*a^6*b^3*c^2*d^6*f^5 + 16*a^5*b^4*d^8*e^3*f^2 - 16*a^6*b^3*d^8*e^2*f^3 + 7*b^9*c^5*d^3*e^3*f^
2 - 27*b^9*c^6*d^2*e^2*f^3 + 21*b^9*c^7*d*e*f^4 + 3*a^4*b^5*d^8*e^4*f + 3*b^9*c^4*d^4*e^4*f + 12*a*b^8*c^3*d^5
*e^4*f - 72*a*b^8*c^6*d^2*e*f^4 + 12*a^3*b^6*c*d^7*e^4*f + 32*a^6*b^3*c*d^7*e*f^4 - 96*a*b^8*c^4*d^4*e^3*f^2 +
156*a*b^8*c^5*d^3*e^2*f^3 - 30*a^2*b^7*c^2*d^6*e^4*f - 46*a^2*b^7*c^5*d^3*e*f^4 + 232*a^3*b^6*c^4*d^4*e*f^4 -
69*a^4*b^5*c*d^7*e^3*f^2 - 111*a^4*b^5*c^3*d^5*e*f^4 + 4*a^5*b^4*c*d^7*e^2*f^3 - 56*a^5*b^4*c^2*d^6*e*f^4 + 1
34*a^2*b^7*c^3*d^5*e^3*f^2 - 118*a^2*b^7*c^4*d^4*e^2*f^3 + 8*a^3*b^6*c^2*d^6*e^3*f^2 - 152*a^3*b^6*c^3*d^5*e^2
*f^3 + 153*a^4*b^5*c^2*d^6*e^2*f^3))/(d^17*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(24*a^(3/2)*b^7*c^(13/2)*
d^2*f^5 + 112*a^(5/2)*b^6*c^(11/2)*d^3*f^5 - 296*a^(7/2)*b^5*c^(9/2)*d^4*f^5 + 240*a^(9/2)*b^4*c^(7/2)*d^5*f^5
- 64*a^(11/2)*b^3*c^(5/2)*d^6*f^5 - 16*a^(1/2)*b^8*c^(15/2)*d*f^5 + 12*a^(1/2)*b^8*c^(7/2)*d^5*e^4*f - 12*a^(
3/2)*b^7*c^(5/2)*d^6*e^4*f - 12*a^(5/2)*b^6*c^(3/2)*d^7*e^4*f + 12*a^(7/2)*b^5*c^(1/2)*d^8*e^4*f + 84*a^(1/2)*
b^8*c^(13/2)*d^2*e*f^4 - 316*a^(3/2)*b^7*c^(11/2)*d^3*e*f^4 + 220*a^(5/2)*b^6*c^(9/2)*d^4*e*f^4 + 300*a^(7/2)*
b^5*c^(7/2)*d^5*e*f^4 - 416*a^(9/2)*b^4*c^(5/2)*d^6*e*f^4 + 128*a^(11/2)*b^3*c^(3/2)*d^7*e*f^4 + 28*a^(1/2)*b^
8*c^(9/2)*d^4*e^3*f^2 - 244*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f^2 + 468*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f^2 - 316*a^(7/2
)*b^5*c^(3/2)*d^7*e^3*f^2 + 64*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f^2 - 108*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^3 + 548*a^
(3/2)*b^7*c^(9/2)*d^4*e^2*f^3 - 788*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^3 + 300*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^3 + 11
2*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^3 - 64*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^3))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)
))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(34*b^8*c^8*d*f^4 + 6*a^4*b^4*d^9*e^4 + 6*b^8*c^4*d^5*e^
4 - 60*a^2*b^6*c^2*d^7*e^4 + 236*a^2*b^6*c^6*d^3*f^4 - 312*a^3*b^5*c^5*d^4*f^4 + 258*a^4*b^4*c^4*d^5*f^4 - 128
*a^5*b^3*c^3*d^6*f^4 + 32*a^6*b^2*c^2*d^7*f^4 + 32*a^6*b^2*d^9*e^2*f^2 + 112*b^8*c^6*d^3*e^2*f^2 + 24*a*b^7*c^
3*d^6*e^4 + 24*a^3*b^5*c*d^8*e^4 - 120*a*b^7*c^7*d^2*f^4 - 32*a^5*b^3*d^9*e^3*f - 48*b^8*c^5*d^4*e^3*f - 104*b
^8*c^7*d^2*e*f^3 + 288*a*b^7*c^6*d^3*e*f^3 + 48*a^4*b^4*c*d^8*e^3*f - 64*a^6*b^2*c*d^8*e*f^3 - 192*a*b^7*c^5*d
^4*e^2*f^2 + 128*a^2*b^6*c^3*d^6*e^3*f - 464*a^2*b^6*c^5*d^4*e*f^3 - 96*a^3*b^5*c^2*d^7*e^3*f + 576*a^3*b^5*c^
4*d^5*e*f^3 - 456*a^4*b^4*c^3*d^6*e*f^3 - 64*a^5*b^3*c*d^8*e^2*f^2 + 224*a^5*b^3*c^2*d^7*e*f^3 + 160*a^2*b^6*c
^4*d^5*e^2*f^2 - 192*a^3*b^5*c^3*d^6*e^2*f^2 + 144*a^4*b^4*c^2*d^7*e^2*f^2))/(d^17*e^8*((c + d*x)^(1/2) - c^(1
/2))))*2i)/(b^(1/2)*f) + (d^(1/2)*((65536*(24*a^(1/2)*b^8*c^(7/2)*d^5*e^4 - 24*a^(3/2)*b^7*c^(5/2)*d^6*e^4 - 2
4*a^(5/2)*b^6*c^(3/2)*d^7*e^4 + 24*a^(7/2)*b^5*c^(1/2)*d^8*e^4 - 40*a^(3/2)*b^7*c^(13/2)*d^2*f^4 + 8*a^(5/2)*b
^6*c^(11/2)*d^3*f^4 + 24*a^(7/2)*b^5*c^(9/2)*d^4*f^4 - 32*a^(9/2)*b^4*c^(7/2)*d^5*f^4 + 16*a^(11/2)*b^3*c^(5/2
)*d^6*f^4 + 24*a^(1/2)*b^8*c^(15/2)*d*f^4 - 108*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f + 176*a^(3/2)*b^7*c^(7/2)*d^5*e^
3*f - 72*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f + 48*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f - 44*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f -
108*a^(1/2)*b^8*c^(13/2)*d^2*e*f^3 + 208*a^(3/2)*b^7*c^(11/2)*d^3*e*f^3 - 136*a^(5/2)*b^6*c^(9/2)*d^4*e*f^3 +
48*a^(7/2)*b^5*c^(7/2)*d^5*e*f^3 + 20*a^(9/2)*b^4*c^(5/2)*d^6*e*f^3 - 32*a^(11/2)*b^3*c^(3/2)*d^7*e*f^3 + 168
*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^2 - 320*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^2 + 224*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^2
- 144*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^2 + 56*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^2 + 16*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f
^2))/(d^17*e^8) + (2*d^(1/2)*((65536*(60*a^2*b^7*c^6*d^2*f^5 - 4*b^9*c^8*f^5 - 100*a^3*b^6*c^5*d^3*f^5 + 24*a^
4*b^5*c^4*d^4*f^5 + 36*a^5*b^4*c^3*d^5*f^5 - 16*a^6*b^3*c^2*d^6*f^5 + 16*a^5*b^4*d^8*e^3*f^2 - 16*a^6*b^3*d^8*
e^2*f^3 + 7*b^9*c^5*d^3*e^3*f^2 - 27*b^9*c^6*d^2*e^2*f^3 + 21*b^9*c^7*d*e*f^4 + 3*a^4*b^5*d^8*e^4*f + 3*b^9*c^
4*d^4*e^4*f + 12*a*b^8*c^3*d^5*e^4*f - 72*a*b^8*c^6*d^2*e*f^4 + 12*a^3*b^6*c*d^7*e^4*f + 32*a^6*b^3*c*d^7*e*f^
4 - 96*a*b^8*c^4*d^4*e^3*f^2 + 156*a*b^8*c^5*d^3*e^2*f^3 - 30*a^2*b^7*c^2*d^6*e^4*f - 46*a^2*b^7*c^5*d^3*e*f^4
+ 232*a^3*b^6*c^4*d^4*e*f^4 - 69*a^4*b^5*c*d^7*e^3*f^2 - 111*a^4*b^5*c^3*d^5*e*f^4 + 4*a^5*b^4*c*d^7*e^2*f^3
- 56*a^5*b^4*c^2*d^6*e*f^4 + 134*a^2*b^7*c^3*d^5*e^3*f^2 - 118*a^2*b^7*c^4*d^4*e^2*f^3 + 8*a^3*b^6*c^2*d^6*e^3
*f^2 - 152*a^3*b^6*c^3*d^5*e^2*f^3 + 153*a^4*b^5*c^2*d^6*e^2*f^3))/(d^17*e^8) + (2*d^(1/2)*((65536*(44*a^(5/2)
*b^7*c^(11/2)*d^2*f^6 - 4*a^(1/2)*b^9*c^(15/2)*f^6 - 4*a^(7/2)*b^6*c^(9/2)*d^3*f^6 - 24*a^(9/2)*b^5*c^(7/2)*d^
4*f^6 + 28*a^(11/2)*b^4*c^(5/2)*d^5*f^6 - 16*a^(13/2)*b^3*c^(3/2)*d^6*f^6 - 24*a^(3/2)*b^8*c^(13/2)*d*f^6 + 51
*a^(1/2)*b^9*c^(13/2)*d*e*f^5 + 16*a^(3/2)*b^8*c^(11/2)*d^2*e*f^5 - 150*a^(5/2)*b^7*c^(9/2)*d^3*e*f^5 + 116*a^
(7/2)*b^6*c^(7/2)*d^4*e*f^5 - 85*a^(9/2)*b^5*c^(5/2)*d^5*e*f^5 + 36*a^(11/2)*b^4*c^(3/2)*d^6*e*f^5 + 16*a^(13/
2)*b^3*c^(1/2)*d^7*e*f^5 - 36*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^2 + 36*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^2 + 36*a^(5/2
)*b^7*c^(3/2)*d^6*e^4*f^2 - 36*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^2 + 127*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^3 - 180*a^(
3/2)*b^8*c^(7/2)*d^4*e^3*f^3 + 66*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^3 - 100*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^3 + 87*a
^(9/2)*b^5*c^(1/2)*d^7*e^3*f^3 - 138*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^4 + 152*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^4 +
4*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^4 + 24*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^4 + 22*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^4 -
64*a^(11/2)*b^4*c^(1/2)*d^7*e^2*f^4))/(d^17*e^8) - (2*d^(1/2)*((65536*(4*b^10*c^7*e*f^6 - 4*a*b^9*c^7*f^7 + 12
*a^3*b^7*c^5*d^2*f^7 - 44*a^4*b^6*c^4*d^3*f^7 + 24*a^5*b^5*c^3*d^4*f^7 + 3*a^4*b^6*d^7*e^4*f^3 - 3*a^5*b^5*d^7
*e^3*f^4 + 3*b^10*c^4*d^3*e^4*f^3 - 2*b^10*c^5*d^2*e^3*f^4 + 12*a^2*b^8*c^6*d*f^7 - 5*b^10*c^6*d*e^2*f^5 + 12*
a*b^9*c^3*d^4*e^4*f^3 - 39*a*b^9*c^4*d^3*e^3*f^4 + 38*a*b^9*c^5*d^2*e^2*f^5 - 48*a^2*b^8*c^5*d^2*e*f^6 + 12*a^
3*b^7*c*d^6*e^4*f^3 + 50*a^3*b^7*c^4*d^3*e*f^6 - 42*a^4*b^6*c*d^6*e^3*f^4 + 52*a^4*b^6*c^3*d^4*e*f^6 + 30*a^5*
b^5*c*d^6*e^2*f^5 - 51*a^5*b^5*c^2*d^5*e*f^6 - 7*a*b^9*c^6*d*e*f^6 - 30*a^2*b^8*c^2*d^5*e^4*f^3 + 36*a^2*b^8*c
^3*d^4*e^3*f^4 + 30*a^2*b^8*c^4*d^3*e^2*f^5 + 50*a^3*b^7*c^2*d^5*e^3*f^4 - 124*a^3*b^7*c^3*d^4*e^2*f^5 + 31*a^
4*b^6*c^2*d^5*e^2*f^5))/(d^17*e^8) - (2*d^(1/2)*((65536*(4*a^(3/2)*b^9*c^(13/2)*f^8 - 4*a^(7/2)*b^7*c^(9/2)*d^
2*f^8 - 4*a^(9/2)*b^6*c^(7/2)*d^3*f^8 + 4*a^(13/2)*b^4*c^(3/2)*d^5*f^8 - 4*a^(1/2)*b^10*c^(13/2)*e*f^7 - 23*a^
(3/2)*b^9*c^(11/2)*d*e*f^7 + 23*a^(1/2)*b^10*c^(11/2)*d*e^2*f^6 + 32*a^(5/2)*b^8*c^(9/2)*d^2*e*f^7 - 10*a^(7/2
)*b^7*c^(7/2)*d^3*e*f^7 + 32*a^(9/2)*b^6*c^(5/2)*d^4*e*f^7 - 23*a^(11/2)*b^5*c^(3/2)*d^5*e*f^7 - 4*a^(13/2)*b^
4*c^(1/2)*d^6*e*f^7 + 12*a^(1/2)*b^10*c^(7/2)*d^3*e^4*f^4 - 12*a^(3/2)*b^9*c^(5/2)*d^4*e^4*f^4 - 12*a^(5/2)*b^
8*c^(3/2)*d^5*e^4*f^4 + 12*a^(7/2)*b^7*c^(1/2)*d^6*e^4*f^4 - 31*a^(1/2)*b^10*c^(9/2)*d^2*e^3*f^5 + 28*a^(3/2)*
b^9*c^(7/2)*d^3*e^3*f^5 + 6*a^(5/2)*b^8*c^(5/2)*d^4*e^3*f^5 + 28*a^(7/2)*b^7*c^(3/2)*d^5*e^3*f^5 - 31*a^(9/2)*
b^6*c^(1/2)*d^6*e^3*f^5 + 3*a^(3/2)*b^9*c^(9/2)*d^2*e^2*f^6 - 26*a^(5/2)*b^8*c^(7/2)*d^3*e^2*f^6 - 26*a^(7/2)*
b^7*c^(5/2)*d^4*e^2*f^6 + 3*a^(9/2)*b^6*c^(3/2)*d^5*e^2*f^6 + 23*a^(11/2)*b^5*c^(1/2)*d^6*e^2*f^6))/(d^17*e^8)
- (65536*((a + b*x)^(1/2) - a^(1/2))*(8*a*b^9*c^7*f^8 - 8*b^10*c^7*e*f^7 + 72*a^3*b^7*c^5*d^2*f^8 - 100*a^4*b
^6*c^4*d^3*f^8 + 72*a^5*b^5*c^3*d^4*f^8 - 30*a^6*b^4*c^2*d^5*f^8 + 3*a^4*b^6*d^7*e^4*f^4 - 13*a^5*b^5*d^7*e^3*
f^5 + 18*a^6*b^4*d^7*e^2*f^6 + 3*b^10*c^4*d^3*e^4*f^4 - 13*b^10*c^5*d^2*e^3*f^5 - 30*a^2*b^8*c^6*d*f^8 + 8*a^7
*b^3*c*d^6*f^8 - 8*a^7*b^3*d^7*e*f^7 + 18*b^10*c^6*d*e^2*f^6 + 12*a^6*b^4*c*d^6*e*f^7 + 12*a*b^9*c^3*d^4*e^4*f
^4 - 9*a*b^9*c^4*d^3*e^3*f^5 - 23*a*b^9*c^5*d^2*e^2*f^6 - 36*a^2*b^8*c^5*d^2*e*f^7 + 12*a^3*b^7*c*d^6*e^4*f^4
+ 32*a^3*b^7*c^4*d^3*e*f^7 - 9*a^4*b^6*c*d^6*e^3*f^5 + 32*a^4*b^6*c^3*d^4*e*f^7 - 23*a^5*b^5*c*d^6*e^2*f^6 - 3
6*a^5*b^5*c^2*d^5*e*f^7 + 12*a*b^9*c^6*d*e*f^7 - 30*a^2*b^8*c^2*d^5*e^4*f^4 + 22*a^2*b^8*c^3*d^4*e^3*f^5 + 74*
a^2*b^8*c^4*d^3*e^2*f^6 + 22*a^3*b^7*c^2*d^5*e^3*f^5 - 138*a^3*b^7*c^3*d^4*e^2*f^6 + 74*a^4*b^6*c^2*d^5*e^2*f^
6))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(7/2)*b^6*
c^(9/2)*d^3*f^7 - 72*a^(5/2)*b^7*c^(11/2)*d^2*f^7 - 40*a^(9/2)*b^5*c^(7/2)*d^4*f^7 + 16*a^(3/2)*b^8*c^(13/2)*d
*f^7 - 16*a^(1/2)*b^9*c^(13/2)*d*e*f^6 + 52*a^(3/2)*b^8*c^(11/2)*d^2*e*f^6 + 36*a^(5/2)*b^7*c^(9/2)*d^3*e*f^6
- 164*a^(7/2)*b^6*c^(7/2)*d^4*e*f^6 + 92*a^(9/2)*b^5*c^(5/2)*d^5*e*f^6 - 12*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^3 +
12*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^3 +
8*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^4 + 60*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^4
+ 52*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^4 + 12*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^4 + 20*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^
5 - 140*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^5 + 156*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^5 + 28*a^(7/2)*b^6*c^(5/2)*d^5*e^2
*f^5 - 64*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^5))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a
+ b*x)^(1/2) - a^(1/2))*(8*b^9*c^8*f^6 - 48*a^2*b^7*c^6*d^2*f^6 + 136*a^3*b^6*c^5*d^3*f^6 - 240*a^4*b^5*c^4*d^
4*f^6 + 228*a^5*b^4*c^3*d^5*f^6 - 120*a^6*b^3*c^2*d^6*f^6 + 9*a^4*b^5*d^8*e^4*f^2 - 48*a^5*b^4*d^8*e^3*f^3 + 7
2*a^6*b^3*d^8*e^2*f^4 + 9*b^9*c^4*d^4*e^4*f^2 - 58*b^9*c^5*d^3*e^3*f^3 + 101*b^9*c^6*d^2*e^2*f^4 + 4*a*b^8*c^7
*d*f^6 - 60*b^9*c^7*d*e*f^5 + 32*a^7*b^2*c*d^7*f^6 - 32*a^7*b^2*d^8*e*f^5 + 116*a*b^8*c^6*d^2*e*f^5 + 48*a^6*b
^3*c*d^7*e*f^5 + 36*a*b^8*c^3*d^5*e^4*f^2 - 156*a*b^8*c^5*d^3*e^2*f^4 - 208*a^2*b^7*c^5*d^3*e*f^5 + 36*a^3*b^6
*c*d^7*e^4*f^2 + 288*a^3*b^6*c^4*d^4*e*f^5 + 30*a^4*b^5*c*d^7*e^3*f^3 - 132*a^4*b^5*c^3*d^5*e*f^5 - 160*a^5*b^
4*c*d^7*e^2*f^4 - 20*a^5*b^4*c^2*d^6*e*f^5 - 90*a^2*b^7*c^2*d^6*e^4*f^2 + 108*a^2*b^7*c^3*d^5*e^3*f^3 + 238*a^
2*b^7*c^4*d^4*e^2*f^4 - 32*a^3*b^6*c^2*d^6*e^3*f^3 - 428*a^3*b^6*c^3*d^5*e^2*f^4 + 333*a^4*b^5*c^2*d^6*e^2*f^4
))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(24*a^(3/2)*b^7*c
^(13/2)*d^2*f^5 + 112*a^(5/2)*b^6*c^(11/2)*d^3*f^5 - 296*a^(7/2)*b^5*c^(9/2)*d^4*f^5 + 240*a^(9/2)*b^4*c^(7/2)
*d^5*f^5 - 64*a^(11/2)*b^3*c^(5/2)*d^6*f^5 - 16*a^(1/2)*b^8*c^(15/2)*d*f^5 + 12*a^(1/2)*b^8*c^(7/2)*d^5*e^4*f
- 12*a^(3/2)*b^7*c^(5/2)*d^6*e^4*f - 12*a^(5/2)*b^6*c^(3/2)*d^7*e^4*f + 12*a^(7/2)*b^5*c^(1/2)*d^8*e^4*f + 84*
a^(1/2)*b^8*c^(13/2)*d^2*e*f^4 - 316*a^(3/2)*b^7*c^(11/2)*d^3*e*f^4 + 220*a^(5/2)*b^6*c^(9/2)*d^4*e*f^4 + 300*
a^(7/2)*b^5*c^(7/2)*d^5*e*f^4 - 416*a^(9/2)*b^4*c^(5/2)*d^6*e*f^4 + 128*a^(11/2)*b^3*c^(3/2)*d^7*e*f^4 + 28*a^
(1/2)*b^8*c^(9/2)*d^4*e^3*f^2 - 244*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f^2 + 468*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f^2 - 31
6*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f^2 + 64*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f^2 - 108*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^3
+ 548*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^3 - 788*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^3 + 300*a^(7/2)*b^5*c^(5/2)*d^6*e^2*
f^3 + 112*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^3 - 64*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^3))/(d^17*e^8*((c + d*x)^(1/2) -
c^(1/2)))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(34*b^8*c^8*d*f^4 + 6*a^4*b^4*d^9*e^4 + 6*b^8*c^
4*d^5*e^4 - 60*a^2*b^6*c^2*d^7*e^4 + 236*a^2*b^6*c^6*d^3*f^4 - 312*a^3*b^5*c^5*d^4*f^4 + 258*a^4*b^4*c^4*d^5*f
^4 - 128*a^5*b^3*c^3*d^6*f^4 + 32*a^6*b^2*c^2*d^7*f^4 + 32*a^6*b^2*d^9*e^2*f^2 + 112*b^8*c^6*d^3*e^2*f^2 + 24*
a*b^7*c^3*d^6*e^4 + 24*a^3*b^5*c*d^8*e^4 - 120*a*b^7*c^7*d^2*f^4 - 32*a^5*b^3*d^9*e^3*f - 48*b^8*c^5*d^4*e^3*f
- 104*b^8*c^7*d^2*e*f^3 + 288*a*b^7*c^6*d^3*e*f^3 + 48*a^4*b^4*c*d^8*e^3*f - 64*a^6*b^2*c*d^8*e*f^3 - 192*a*b
^7*c^5*d^4*e^2*f^2 + 128*a^2*b^6*c^3*d^6*e^3*f - 464*a^2*b^6*c^5*d^4*e*f^3 - 96*a^3*b^5*c^2*d^7*e^3*f + 576*a^
3*b^5*c^4*d^5*e*f^3 - 456*a^4*b^4*c^3*d^6*e*f^3 - 64*a^5*b^3*c*d^8*e^2*f^2 + 224*a^5*b^3*c^2*d^7*e*f^3 + 160*a
^2*b^6*c^4*d^5*e^2*f^2 - 192*a^3*b^5*c^3*d^6*e^2*f^2 + 144*a^4*b^4*c^2*d^7*e^2*f^2))/(d^17*e^8*((c + d*x)^(1/2
) - c^(1/2))))*2i)/(b^(1/2)*f))/((131072*(12*b^8*c^8*d*f^3 - 16*a^5*b^3*d^9*e^3 - 12*b^8*c^5*d^4*e^3 - 56*a^2*
b^6*c^3*d^6*e^3 + 56*a^2*b^6*c^6*d^3*f^3 - 36*a^4*b^4*c^4*d^5*f^3 + 16*a^5*b^3*c^3*d^6*f^3 + 48*a*b^7*c^4*d^5*
e^3 + 36*a^4*b^4*c*d^8*e^3 - 48*a*b^7*c^7*d^2*f^3 + 36*b^8*c^6*d^3*e^2*f - 36*b^8*c^7*d^2*e*f^2 - 144*a*b^7*c^
5*d^4*e^2*f + 144*a*b^7*c^6*d^3*e*f^2 + 48*a^5*b^3*c*d^8*e^2*f + 168*a^2*b^6*c^4*d^5*e^2*f - 168*a^2*b^6*c^5*d
^4*e*f^2 - 108*a^4*b^4*c^2*d^7*e^2*f + 108*a^4*b^4*c^3*d^6*e*f^2 - 48*a^5*b^3*c^2*d^7*e*f^2))/(d^17*e^8) - (2*
d^(1/2)*((65536*(24*a^(1/2)*b^8*c^(7/2)*d^5*e^4 - 24*a^(3/2)*b^7*c^(5/2)*d^6*e^4 - 24*a^(5/2)*b^6*c^(3/2)*d^7*
e^4 + 24*a^(7/2)*b^5*c^(1/2)*d^8*e^4 - 40*a^(3/2)*b^7*c^(13/2)*d^2*f^4 + 8*a^(5/2)*b^6*c^(11/2)*d^3*f^4 + 24*a
^(7/2)*b^5*c^(9/2)*d^4*f^4 - 32*a^(9/2)*b^4*c^(7/2)*d^5*f^4 + 16*a^(11/2)*b^3*c^(5/2)*d^6*f^4 + 24*a^(1/2)*b^8
*c^(15/2)*d*f^4 - 108*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f + 176*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f - 72*a^(5/2)*b^6*c^(5/
2)*d^6*e^3*f + 48*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f - 44*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f - 108*a^(1/2)*b^8*c^(13/2)*
d^2*e*f^3 + 208*a^(3/2)*b^7*c^(11/2)*d^3*e*f^3 - 136*a^(5/2)*b^6*c^(9/2)*d^4*e*f^3 + 48*a^(7/2)*b^5*c^(7/2)*d^
5*e*f^3 + 20*a^(9/2)*b^4*c^(5/2)*d^6*e*f^3 - 32*a^(11/2)*b^3*c^(3/2)*d^7*e*f^3 + 168*a^(1/2)*b^8*c^(11/2)*d^3*
e^2*f^2 - 320*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^2 + 224*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^2 - 144*a^(7/2)*b^5*c^(5/2)*
d^6*e^2*f^2 + 56*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^2 + 16*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^2))/(d^17*e^8) + (2*d^(1/
2)*((2*d^(1/2)*((65536*(44*a^(5/2)*b^7*c^(11/2)*d^2*f^6 - 4*a^(1/2)*b^9*c^(15/2)*f^6 - 4*a^(7/2)*b^6*c^(9/2)*d
^3*f^6 - 24*a^(9/2)*b^5*c^(7/2)*d^4*f^6 + 28*a^(11/2)*b^4*c^(5/2)*d^5*f^6 - 16*a^(13/2)*b^3*c^(3/2)*d^6*f^6 -
24*a^(3/2)*b^8*c^(13/2)*d*f^6 + 51*a^(1/2)*b^9*c^(13/2)*d*e*f^5 + 16*a^(3/2)*b^8*c^(11/2)*d^2*e*f^5 - 150*a^(5
/2)*b^7*c^(9/2)*d^3*e*f^5 + 116*a^(7/2)*b^6*c^(7/2)*d^4*e*f^5 - 85*a^(9/2)*b^5*c^(5/2)*d^5*e*f^5 + 36*a^(11/2)
*b^4*c^(3/2)*d^6*e*f^5 + 16*a^(13/2)*b^3*c^(1/2)*d^7*e*f^5 - 36*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^2 + 36*a^(3/2)*b
^8*c^(5/2)*d^5*e^4*f^2 + 36*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^2 - 36*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^2 + 127*a^(1/2)
*b^9*c^(9/2)*d^3*e^3*f^3 - 180*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^3 + 66*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^3 - 100*a^(7
/2)*b^6*c^(3/2)*d^6*e^3*f^3 + 87*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^3 - 138*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^4 + 152*
a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^4 + 4*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^4 + 24*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^4 + 22*
a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^4 - 64*a^(11/2)*b^4*c^(1/2)*d^7*e^2*f^4))/(d^17*e^8) + (2*d^(1/2)*((65536*(4*b^1
0*c^7*e*f^6 - 4*a*b^9*c^7*f^7 + 12*a^3*b^7*c^5*d^2*f^7 - 44*a^4*b^6*c^4*d^3*f^7 + 24*a^5*b^5*c^3*d^4*f^7 + 3*a
^4*b^6*d^7*e^4*f^3 - 3*a^5*b^5*d^7*e^3*f^4 + 3*b^10*c^4*d^3*e^4*f^3 - 2*b^10*c^5*d^2*e^3*f^4 + 12*a^2*b^8*c^6*
d*f^7 - 5*b^10*c^6*d*e^2*f^5 + 12*a*b^9*c^3*d^4*e^4*f^3 - 39*a*b^9*c^4*d^3*e^3*f^4 + 38*a*b^9*c^5*d^2*e^2*f^5
- 48*a^2*b^8*c^5*d^2*e*f^6 + 12*a^3*b^7*c*d^6*e^4*f^3 + 50*a^3*b^7*c^4*d^3*e*f^6 - 42*a^4*b^6*c*d^6*e^3*f^4 +
52*a^4*b^6*c^3*d^4*e*f^6 + 30*a^5*b^5*c*d^6*e^2*f^5 - 51*a^5*b^5*c^2*d^5*e*f^6 - 7*a*b^9*c^6*d*e*f^6 - 30*a^2*
b^8*c^2*d^5*e^4*f^3 + 36*a^2*b^8*c^3*d^4*e^3*f^4 + 30*a^2*b^8*c^4*d^3*e^2*f^5 + 50*a^3*b^7*c^2*d^5*e^3*f^4 - 1
24*a^3*b^7*c^3*d^4*e^2*f^5 + 31*a^4*b^6*c^2*d^5*e^2*f^5))/(d^17*e^8) + (2*d^(1/2)*((65536*(4*a^(3/2)*b^9*c^(13
/2)*f^8 - 4*a^(7/2)*b^7*c^(9/2)*d^2*f^8 - 4*a^(9/2)*b^6*c^(7/2)*d^3*f^8 + 4*a^(13/2)*b^4*c^(3/2)*d^5*f^8 - 4*a
^(1/2)*b^10*c^(13/2)*e*f^7 - 23*a^(3/2)*b^9*c^(11/2)*d*e*f^7 + 23*a^(1/2)*b^10*c^(11/2)*d*e^2*f^6 + 32*a^(5/2)
*b^8*c^(9/2)*d^2*e*f^7 - 10*a^(7/2)*b^7*c^(7/2)*d^3*e*f^7 + 32*a^(9/2)*b^6*c^(5/2)*d^4*e*f^7 - 23*a^(11/2)*b^5
*c^(3/2)*d^5*e*f^7 - 4*a^(13/2)*b^4*c^(1/2)*d^6*e*f^7 + 12*a^(1/2)*b^10*c^(7/2)*d^3*e^4*f^4 - 12*a^(3/2)*b^9*c
^(5/2)*d^4*e^4*f^4 - 12*a^(5/2)*b^8*c^(3/2)*d^5*e^4*f^4 + 12*a^(7/2)*b^7*c^(1/2)*d^6*e^4*f^4 - 31*a^(1/2)*b^10
*c^(9/2)*d^2*e^3*f^5 + 28*a^(3/2)*b^9*c^(7/2)*d^3*e^3*f^5 + 6*a^(5/2)*b^8*c^(5/2)*d^4*e^3*f^5 + 28*a^(7/2)*b^7
*c^(3/2)*d^5*e^3*f^5 - 31*a^(9/2)*b^6*c^(1/2)*d^6*e^3*f^5 + 3*a^(3/2)*b^9*c^(9/2)*d^2*e^2*f^6 - 26*a^(5/2)*b^8
*c^(7/2)*d^3*e^2*f^6 - 26*a^(7/2)*b^7*c^(5/2)*d^4*e^2*f^6 + 3*a^(9/2)*b^6*c^(3/2)*d^5*e^2*f^6 + 23*a^(11/2)*b^
5*c^(1/2)*d^6*e^2*f^6))/(d^17*e^8) - (65536*((a + b*x)^(1/2) - a^(1/2))*(8*a*b^9*c^7*f^8 - 8*b^10*c^7*e*f^7 +
72*a^3*b^7*c^5*d^2*f^8 - 100*a^4*b^6*c^4*d^3*f^8 + 72*a^5*b^5*c^3*d^4*f^8 - 30*a^6*b^4*c^2*d^5*f^8 + 3*a^4*b^6
*d^7*e^4*f^4 - 13*a^5*b^5*d^7*e^3*f^5 + 18*a^6*b^4*d^7*e^2*f^6 + 3*b^10*c^4*d^3*e^4*f^4 - 13*b^10*c^5*d^2*e^3*
f^5 - 30*a^2*b^8*c^6*d*f^8 + 8*a^7*b^3*c*d^6*f^8 - 8*a^7*b^3*d^7*e*f^7 + 18*b^10*c^6*d*e^2*f^6 + 12*a^6*b^4*c*
d^6*e*f^7 + 12*a*b^9*c^3*d^4*e^4*f^4 - 9*a*b^9*c^4*d^3*e^3*f^5 - 23*a*b^9*c^5*d^2*e^2*f^6 - 36*a^2*b^8*c^5*d^2
*e*f^7 + 12*a^3*b^7*c*d^6*e^4*f^4 + 32*a^3*b^7*c^4*d^3*e*f^7 - 9*a^4*b^6*c*d^6*e^3*f^5 + 32*a^4*b^6*c^3*d^4*e*
f^7 - 23*a^5*b^5*c*d^6*e^2*f^6 - 36*a^5*b^5*c^2*d^5*e*f^7 + 12*a*b^9*c^6*d*e*f^7 - 30*a^2*b^8*c^2*d^5*e^4*f^4
+ 22*a^2*b^8*c^3*d^4*e^3*f^5 + 74*a^2*b^8*c^4*d^3*e^2*f^6 + 22*a^3*b^7*c^2*d^5*e^3*f^5 - 138*a^3*b^7*c^3*d^4*e
^2*f^6 + 74*a^4*b^6*c^2*d^5*e^2*f^6))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)
^(1/2) - a^(1/2))*(96*a^(7/2)*b^6*c^(9/2)*d^3*f^7 - 72*a^(5/2)*b^7*c^(11/2)*d^2*f^7 - 40*a^(9/2)*b^5*c^(7/2)*d
^4*f^7 + 16*a^(3/2)*b^8*c^(13/2)*d*f^7 - 16*a^(1/2)*b^9*c^(13/2)*d*e*f^6 + 52*a^(3/2)*b^8*c^(11/2)*d^2*e*f^6 +
36*a^(5/2)*b^7*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^6*c^(7/2)*d^4*e*f^6 + 92*a^(9/2)*b^5*c^(5/2)*d^5*e*f^6 - 12*
a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^3 - 12
*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^3 + 8*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^4 + 60*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^4 - 13
2*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^4 + 52*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^4 + 12*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^4 +
20*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^5 - 140*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^5 + 156*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^
5 + 28*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^5 - 64*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^5))/(d^17*e^8*((c + d*x)^(1/2) - c^(
1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(8*b^9*c^8*f^6 - 48*a^2*b^7*c^6*d^2*f^6 + 136*a^3*b^
6*c^5*d^3*f^6 - 240*a^4*b^5*c^4*d^4*f^6 + 228*a^5*b^4*c^3*d^5*f^6 - 120*a^6*b^3*c^2*d^6*f^6 + 9*a^4*b^5*d^8*e^
4*f^2 - 48*a^5*b^4*d^8*e^3*f^3 + 72*a^6*b^3*d^8*e^2*f^4 + 9*b^9*c^4*d^4*e^4*f^2 - 58*b^9*c^5*d^3*e^3*f^3 + 101
*b^9*c^6*d^2*e^2*f^4 + 4*a*b^8*c^7*d*f^6 - 60*b^9*c^7*d*e*f^5 + 32*a^7*b^2*c*d^7*f^6 - 32*a^7*b^2*d^8*e*f^5 +
116*a*b^8*c^6*d^2*e*f^5 + 48*a^6*b^3*c*d^7*e*f^5 + 36*a*b^8*c^3*d^5*e^4*f^2 - 156*a*b^8*c^5*d^3*e^2*f^4 - 208*
a^2*b^7*c^5*d^3*e*f^5 + 36*a^3*b^6*c*d^7*e^4*f^2 + 288*a^3*b^6*c^4*d^4*e*f^5 + 30*a^4*b^5*c*d^7*e^3*f^3 - 132*
a^4*b^5*c^3*d^5*e*f^5 - 160*a^5*b^4*c*d^7*e^2*f^4 - 20*a^5*b^4*c^2*d^6*e*f^5 - 90*a^2*b^7*c^2*d^6*e^4*f^2 + 10
8*a^2*b^7*c^3*d^5*e^3*f^3 + 238*a^2*b^7*c^4*d^4*e^2*f^4 - 32*a^3*b^6*c^2*d^6*e^3*f^3 - 428*a^3*b^6*c^3*d^5*e^2
*f^4 + 333*a^4*b^5*c^2*d^6*e^2*f^4))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*(60*a^2*b^7
*c^6*d^2*f^5 - 4*b^9*c^8*f^5 - 100*a^3*b^6*c^5*d^3*f^5 + 24*a^4*b^5*c^4*d^4*f^5 + 36*a^5*b^4*c^3*d^5*f^5 - 16*
a^6*b^3*c^2*d^6*f^5 + 16*a^5*b^4*d^8*e^3*f^2 - 16*a^6*b^3*d^8*e^2*f^3 + 7*b^9*c^5*d^3*e^3*f^2 - 27*b^9*c^6*d^2
*e^2*f^3 + 21*b^9*c^7*d*e*f^4 + 3*a^4*b^5*d^8*e^4*f + 3*b^9*c^4*d^4*e^4*f + 12*a*b^8*c^3*d^5*e^4*f - 72*a*b^8*
c^6*d^2*e*f^4 + 12*a^3*b^6*c*d^7*e^4*f + 32*a^6*b^3*c*d^7*e*f^4 - 96*a*b^8*c^4*d^4*e^3*f^2 + 156*a*b^8*c^5*d^3
*e^2*f^3 - 30*a^2*b^7*c^2*d^6*e^4*f - 46*a^2*b^7*c^5*d^3*e*f^4 + 232*a^3*b^6*c^4*d^4*e*f^4 - 69*a^4*b^5*c*d^7*
e^3*f^2 - 111*a^4*b^5*c^3*d^5*e*f^4 + 4*a^5*b^4*c*d^7*e^2*f^3 - 56*a^5*b^4*c^2*d^6*e*f^4 + 134*a^2*b^7*c^3*d^5
*e^3*f^2 - 118*a^2*b^7*c^4*d^4*e^2*f^3 + 8*a^3*b^6*c^2*d^6*e^3*f^2 - 152*a^3*b^6*c^3*d^5*e^2*f^3 + 153*a^4*b^5
*c^2*d^6*e^2*f^3))/(d^17*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(24*a^(3/2)*b^7*c^(13/2)*d^2*f^5 + 112*a^(5
/2)*b^6*c^(11/2)*d^3*f^5 - 296*a^(7/2)*b^5*c^(9/2)*d^4*f^5 + 240*a^(9/2)*b^4*c^(7/2)*d^5*f^5 - 64*a^(11/2)*b^3
*c^(5/2)*d^6*f^5 - 16*a^(1/2)*b^8*c^(15/2)*d*f^5 + 12*a^(1/2)*b^8*c^(7/2)*d^5*e^4*f - 12*a^(3/2)*b^7*c^(5/2)*d
^6*e^4*f - 12*a^(5/2)*b^6*c^(3/2)*d^7*e^4*f + 12*a^(7/2)*b^5*c^(1/2)*d^8*e^4*f + 84*a^(1/2)*b^8*c^(13/2)*d^2*e
*f^4 - 316*a^(3/2)*b^7*c^(11/2)*d^3*e*f^4 + 220*a^(5/2)*b^6*c^(9/2)*d^4*e*f^4 + 300*a^(7/2)*b^5*c^(7/2)*d^5*e*
f^4 - 416*a^(9/2)*b^4*c^(5/2)*d^6*e*f^4 + 128*a^(11/2)*b^3*c^(3/2)*d^7*e*f^4 + 28*a^(1/2)*b^8*c^(9/2)*d^4*e^3*
f^2 - 244*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f^2 + 468*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f^2 - 316*a^(7/2)*b^5*c^(3/2)*d^7*
e^3*f^2 + 64*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f^2 - 108*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^3 + 548*a^(3/2)*b^7*c^(9/2)*
d^4*e^2*f^3 - 788*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^3 + 300*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^3 + 112*a^(9/2)*b^4*c^(3
/2)*d^7*e^2*f^3 - 64*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^3))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) -
(65536*((a + b*x)^(1/2) - a^(1/2))*(34*b^8*c^8*d*f^4 + 6*a^4*b^4*d^9*e^4 + 6*b^8*c^4*d^5*e^4 - 60*a^2*b^6*c^2
*d^7*e^4 + 236*a^2*b^6*c^6*d^3*f^4 - 312*a^3*b^5*c^5*d^4*f^4 + 258*a^4*b^4*c^4*d^5*f^4 - 128*a^5*b^3*c^3*d^6*f
^4 + 32*a^6*b^2*c^2*d^7*f^4 + 32*a^6*b^2*d^9*e^2*f^2 + 112*b^8*c^6*d^3*e^2*f^2 + 24*a*b^7*c^3*d^6*e^4 + 24*a^3
*b^5*c*d^8*e^4 - 120*a*b^7*c^7*d^2*f^4 - 32*a^5*b^3*d^9*e^3*f - 48*b^8*c^5*d^4*e^3*f - 104*b^8*c^7*d^2*e*f^3 +
288*a*b^7*c^6*d^3*e*f^3 + 48*a^4*b^4*c*d^8*e^3*f - 64*a^6*b^2*c*d^8*e*f^3 - 192*a*b^7*c^5*d^4*e^2*f^2 + 128*a
^2*b^6*c^3*d^6*e^3*f - 464*a^2*b^6*c^5*d^4*e*f^3 - 96*a^3*b^5*c^2*d^7*e^3*f + 576*a^3*b^5*c^4*d^5*e*f^3 - 456*
a^4*b^4*c^3*d^6*e*f^3 - 64*a^5*b^3*c*d^8*e^2*f^2 + 224*a^5*b^3*c^2*d^7*e*f^3 + 160*a^2*b^6*c^4*d^5*e^2*f^2 - 1
92*a^3*b^5*c^3*d^6*e^2*f^2 + 144*a^4*b^4*c^2*d^7*e^2*f^2))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f
) + (2*d^(1/2)*((65536*(24*a^(1/2)*b^8*c^(7/2)*d^5*e^4 - 24*a^(3/2)*b^7*c^(5/2)*d^6*e^4 - 24*a^(5/2)*b^6*c^(3/
2)*d^7*e^4 + 24*a^(7/2)*b^5*c^(1/2)*d^8*e^4 - 40*a^(3/2)*b^7*c^(13/2)*d^2*f^4 + 8*a^(5/2)*b^6*c^(11/2)*d^3*f^4
+ 24*a^(7/2)*b^5*c^(9/2)*d^4*f^4 - 32*a^(9/2)*b^4*c^(7/2)*d^5*f^4 + 16*a^(11/2)*b^3*c^(5/2)*d^6*f^4 + 24*a^(1
/2)*b^8*c^(15/2)*d*f^4 - 108*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f + 176*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f - 72*a^(5/2)*b^
6*c^(5/2)*d^6*e^3*f + 48*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f - 44*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f - 108*a^(1/2)*b^8*c^
(13/2)*d^2*e*f^3 + 208*a^(3/2)*b^7*c^(11/2)*d^3*e*f^3 - 136*a^(5/2)*b^6*c^(9/2)*d^4*e*f^3 + 48*a^(7/2)*b^5*c^(
7/2)*d^5*e*f^3 + 20*a^(9/2)*b^4*c^(5/2)*d^6*e*f^3 - 32*a^(11/2)*b^3*c^(3/2)*d^7*e*f^3 + 168*a^(1/2)*b^8*c^(11/
2)*d^3*e^2*f^2 - 320*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^2 + 224*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^2 - 144*a^(7/2)*b^5*c
^(5/2)*d^6*e^2*f^2 + 56*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^2 + 16*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^2))/(d^17*e^8) + (
2*d^(1/2)*((65536*(60*a^2*b^7*c^6*d^2*f^5 - 4*b^9*c^8*f^5 - 100*a^3*b^6*c^5*d^3*f^5 + 24*a^4*b^5*c^4*d^4*f^5 +
36*a^5*b^4*c^3*d^5*f^5 - 16*a^6*b^3*c^2*d^6*f^5 + 16*a^5*b^4*d^8*e^3*f^2 - 16*a^6*b^3*d^8*e^2*f^3 + 7*b^9*c^5
*d^3*e^3*f^2 - 27*b^9*c^6*d^2*e^2*f^3 + 21*b^9*c^7*d*e*f^4 + 3*a^4*b^5*d^8*e^4*f + 3*b^9*c^4*d^4*e^4*f + 12*a*
b^8*c^3*d^5*e^4*f - 72*a*b^8*c^6*d^2*e*f^4 + 12*a^3*b^6*c*d^7*e^4*f + 32*a^6*b^3*c*d^7*e*f^4 - 96*a*b^8*c^4*d^
4*e^3*f^2 + 156*a*b^8*c^5*d^3*e^2*f^3 - 30*a^2*b^7*c^2*d^6*e^4*f - 46*a^2*b^7*c^5*d^3*e*f^4 + 232*a^3*b^6*c^4*
d^4*e*f^4 - 69*a^4*b^5*c*d^7*e^3*f^2 - 111*a^4*b^5*c^3*d^5*e*f^4 + 4*a^5*b^4*c*d^7*e^2*f^3 - 56*a^5*b^4*c^2*d^
6*e*f^4 + 134*a^2*b^7*c^3*d^5*e^3*f^2 - 118*a^2*b^7*c^4*d^4*e^2*f^3 + 8*a^3*b^6*c^2*d^6*e^3*f^2 - 152*a^3*b^6*
c^3*d^5*e^2*f^3 + 153*a^4*b^5*c^2*d^6*e^2*f^3))/(d^17*e^8) + (2*d^(1/2)*((65536*(44*a^(5/2)*b^7*c^(11/2)*d^2*f
^6 - 4*a^(1/2)*b^9*c^(15/2)*f^6 - 4*a^(7/2)*b^6*c^(9/2)*d^3*f^6 - 24*a^(9/2)*b^5*c^(7/2)*d^4*f^6 + 28*a^(11/2)
*b^4*c^(5/2)*d^5*f^6 - 16*a^(13/2)*b^3*c^(3/2)*d^6*f^6 - 24*a^(3/2)*b^8*c^(13/2)*d*f^6 + 51*a^(1/2)*b^9*c^(13/
2)*d*e*f^5 + 16*a^(3/2)*b^8*c^(11/2)*d^2*e*f^5 - 150*a^(5/2)*b^7*c^(9/2)*d^3*e*f^5 + 116*a^(7/2)*b^6*c^(7/2)*d
^4*e*f^5 - 85*a^(9/2)*b^5*c^(5/2)*d^5*e*f^5 + 36*a^(11/2)*b^4*c^(3/2)*d^6*e*f^5 + 16*a^(13/2)*b^3*c^(1/2)*d^7*
e*f^5 - 36*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^2 + 36*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^2 + 36*a^(5/2)*b^7*c^(3/2)*d^6*e
^4*f^2 - 36*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^2 + 127*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^3 - 180*a^(3/2)*b^8*c^(7/2)*d^
4*e^3*f^3 + 66*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^3 - 100*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^3 + 87*a^(9/2)*b^5*c^(1/2)*
d^7*e^3*f^3 - 138*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^4 + 152*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^4 + 4*a^(5/2)*b^7*c^(7/
2)*d^4*e^2*f^4 + 24*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^4 + 22*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^4 - 64*a^(11/2)*b^4*c^(
1/2)*d^7*e^2*f^4))/(d^17*e^8) - (2*d^(1/2)*((65536*(4*b^10*c^7*e*f^6 - 4*a*b^9*c^7*f^7 + 12*a^3*b^7*c^5*d^2*f^
7 - 44*a^4*b^6*c^4*d^3*f^7 + 24*a^5*b^5*c^3*d^4*f^7 + 3*a^4*b^6*d^7*e^4*f^3 - 3*a^5*b^5*d^7*e^3*f^4 + 3*b^10*c
^4*d^3*e^4*f^3 - 2*b^10*c^5*d^2*e^3*f^4 + 12*a^2*b^8*c^6*d*f^7 - 5*b^10*c^6*d*e^2*f^5 + 12*a*b^9*c^3*d^4*e^4*f
^3 - 39*a*b^9*c^4*d^3*e^3*f^4 + 38*a*b^9*c^5*d^2*e^2*f^5 - 48*a^2*b^8*c^5*d^2*e*f^6 + 12*a^3*b^7*c*d^6*e^4*f^3
+ 50*a^3*b^7*c^4*d^3*e*f^6 - 42*a^4*b^6*c*d^6*e^3*f^4 + 52*a^4*b^6*c^3*d^4*e*f^6 + 30*a^5*b^5*c*d^6*e^2*f^5 -
51*a^5*b^5*c^2*d^5*e*f^6 - 7*a*b^9*c^6*d*e*f^6 - 30*a^2*b^8*c^2*d^5*e^4*f^3 + 36*a^2*b^8*c^3*d^4*e^3*f^4 + 30
*a^2*b^8*c^4*d^3*e^2*f^5 + 50*a^3*b^7*c^2*d^5*e^3*f^4 - 124*a^3*b^7*c^3*d^4*e^2*f^5 + 31*a^4*b^6*c^2*d^5*e^2*f
^5))/(d^17*e^8) - (2*d^(1/2)*((65536*(4*a^(3/2)*b^9*c^(13/2)*f^8 - 4*a^(7/2)*b^7*c^(9/2)*d^2*f^8 - 4*a^(9/2)*b
^6*c^(7/2)*d^3*f^8 + 4*a^(13/2)*b^4*c^(3/2)*d^5*f^8 - 4*a^(1/2)*b^10*c^(13/2)*e*f^7 - 23*a^(3/2)*b^9*c^(11/2)*
d*e*f^7 + 23*a^(1/2)*b^10*c^(11/2)*d*e^2*f^6 + 32*a^(5/2)*b^8*c^(9/2)*d^2*e*f^7 - 10*a^(7/2)*b^7*c^(7/2)*d^3*e
*f^7 + 32*a^(9/2)*b^6*c^(5/2)*d^4*e*f^7 - 23*a^(11/2)*b^5*c^(3/2)*d^5*e*f^7 - 4*a^(13/2)*b^4*c^(1/2)*d^6*e*f^7
+ 12*a^(1/2)*b^10*c^(7/2)*d^3*e^4*f^4 - 12*a^(3/2)*b^9*c^(5/2)*d^4*e^4*f^4 - 12*a^(5/2)*b^8*c^(3/2)*d^5*e^4*f
^4 + 12*a^(7/2)*b^7*c^(1/2)*d^6*e^4*f^4 - 31*a^(1/2)*b^10*c^(9/2)*d^2*e^3*f^5 + 28*a^(3/2)*b^9*c^(7/2)*d^3*e^3
*f^5 + 6*a^(5/2)*b^8*c^(5/2)*d^4*e^3*f^5 + 28*a^(7/2)*b^7*c^(3/2)*d^5*e^3*f^5 - 31*a^(9/2)*b^6*c^(1/2)*d^6*e^3
*f^5 + 3*a^(3/2)*b^9*c^(9/2)*d^2*e^2*f^6 - 26*a^(5/2)*b^8*c^(7/2)*d^3*e^2*f^6 - 26*a^(7/2)*b^7*c^(5/2)*d^4*e^2
*f^6 + 3*a^(9/2)*b^6*c^(3/2)*d^5*e^2*f^6 + 23*a^(11/2)*b^5*c^(1/2)*d^6*e^2*f^6))/(d^17*e^8) - (65536*((a + b*x
)^(1/2) - a^(1/2))*(8*a*b^9*c^7*f^8 - 8*b^10*c^7*e*f^7 + 72*a^3*b^7*c^5*d^2*f^8 - 100*a^4*b^6*c^4*d^3*f^8 + 72
*a^5*b^5*c^3*d^4*f^8 - 30*a^6*b^4*c^2*d^5*f^8 + 3*a^4*b^6*d^7*e^4*f^4 - 13*a^5*b^5*d^7*e^3*f^5 + 18*a^6*b^4*d^
7*e^2*f^6 + 3*b^10*c^4*d^3*e^4*f^4 - 13*b^10*c^5*d^2*e^3*f^5 - 30*a^2*b^8*c^6*d*f^8 + 8*a^7*b^3*c*d^6*f^8 - 8*
a^7*b^3*d^7*e*f^7 + 18*b^10*c^6*d*e^2*f^6 + 12*a^6*b^4*c*d^6*e*f^7 + 12*a*b^9*c^3*d^4*e^4*f^4 - 9*a*b^9*c^4*d^
3*e^3*f^5 - 23*a*b^9*c^5*d^2*e^2*f^6 - 36*a^2*b^8*c^5*d^2*e*f^7 + 12*a^3*b^7*c*d^6*e^4*f^4 + 32*a^3*b^7*c^4*d^
3*e*f^7 - 9*a^4*b^6*c*d^6*e^3*f^5 + 32*a^4*b^6*c^3*d^4*e*f^7 - 23*a^5*b^5*c*d^6*e^2*f^6 - 36*a^5*b^5*c^2*d^5*e
*f^7 + 12*a*b^9*c^6*d*e*f^7 - 30*a^2*b^8*c^2*d^5*e^4*f^4 + 22*a^2*b^8*c^3*d^4*e^3*f^5 + 74*a^2*b^8*c^4*d^3*e^2
*f^6 + 22*a^3*b^7*c^2*d^5*e^3*f^5 - 138*a^3*b^7*c^3*d^4*e^2*f^6 + 74*a^4*b^6*c^2*d^5*e^2*f^6))/(d^17*e^8*((c +
d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(7/2)*b^6*c^(9/2)*d^3*f^7 - 7
2*a^(5/2)*b^7*c^(11/2)*d^2*f^7 - 40*a^(9/2)*b^5*c^(7/2)*d^4*f^7 + 16*a^(3/2)*b^8*c^(13/2)*d*f^7 - 16*a^(1/2)*b
^9*c^(13/2)*d*e*f^6 + 52*a^(3/2)*b^8*c^(11/2)*d^2*e*f^6 + 36*a^(5/2)*b^7*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^6*c
^(7/2)*d^4*e*f^6 + 92*a^(9/2)*b^5*c^(5/2)*d^5*e*f^6 - 12*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^8*c^(5
/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^3 + 8*a^(1/2)*b^9*c^(9
/2)*d^3*e^3*f^4 + 60*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^4 + 52*a^(7/2)*b^6*c^
(3/2)*d^6*e^3*f^4 + 12*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^4 + 20*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^5 - 140*a^(3/2)*b^8
*c^(9/2)*d^3*e^2*f^5 + 156*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^5 + 28*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^5 - 64*a^(9/2)*b
^5*c^(3/2)*d^6*e^2*f^5))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1
/2))*(8*b^9*c^8*f^6 - 48*a^2*b^7*c^6*d^2*f^6 + 136*a^3*b^6*c^5*d^3*f^6 - 240*a^4*b^5*c^4*d^4*f^6 + 228*a^5*b^4
*c^3*d^5*f^6 - 120*a^6*b^3*c^2*d^6*f^6 + 9*a^4*b^5*d^8*e^4*f^2 - 48*a^5*b^4*d^8*e^3*f^3 + 72*a^6*b^3*d^8*e^2*f
^4 + 9*b^9*c^4*d^4*e^4*f^2 - 58*b^9*c^5*d^3*e^3*f^3 + 101*b^9*c^6*d^2*e^2*f^4 + 4*a*b^8*c^7*d*f^6 - 60*b^9*c^7
*d*e*f^5 + 32*a^7*b^2*c*d^7*f^6 - 32*a^7*b^2*d^8*e*f^5 + 116*a*b^8*c^6*d^2*e*f^5 + 48*a^6*b^3*c*d^7*e*f^5 + 36
*a*b^8*c^3*d^5*e^4*f^2 - 156*a*b^8*c^5*d^3*e^2*f^4 - 208*a^2*b^7*c^5*d^3*e*f^5 + 36*a^3*b^6*c*d^7*e^4*f^2 + 28
8*a^3*b^6*c^4*d^4*e*f^5 + 30*a^4*b^5*c*d^7*e^3*f^3 - 132*a^4*b^5*c^3*d^5*e*f^5 - 160*a^5*b^4*c*d^7*e^2*f^4 - 2
0*a^5*b^4*c^2*d^6*e*f^5 - 90*a^2*b^7*c^2*d^6*e^4*f^2 + 108*a^2*b^7*c^3*d^5*e^3*f^3 + 238*a^2*b^7*c^4*d^4*e^2*f
^4 - 32*a^3*b^6*c^2*d^6*e^3*f^3 - 428*a^3*b^6*c^3*d^5*e^2*f^4 + 333*a^4*b^5*c^2*d^6*e^2*f^4))/(d^17*e^8*((c +
d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(24*a^(3/2)*b^7*c^(13/2)*d^2*f^5 + 1
12*a^(5/2)*b^6*c^(11/2)*d^3*f^5 - 296*a^(7/2)*b^5*c^(9/2)*d^4*f^5 + 240*a^(9/2)*b^4*c^(7/2)*d^5*f^5 - 64*a^(11
/2)*b^3*c^(5/2)*d^6*f^5 - 16*a^(1/2)*b^8*c^(15/2)*d*f^5 + 12*a^(1/2)*b^8*c^(7/2)*d^5*e^4*f - 12*a^(3/2)*b^7*c^
(5/2)*d^6*e^4*f - 12*a^(5/2)*b^6*c^(3/2)*d^7*e^4*f + 12*a^(7/2)*b^5*c^(1/2)*d^8*e^4*f + 84*a^(1/2)*b^8*c^(13/2
)*d^2*e*f^4 - 316*a^(3/2)*b^7*c^(11/2)*d^3*e*f^4 + 220*a^(5/2)*b^6*c^(9/2)*d^4*e*f^4 + 300*a^(7/2)*b^5*c^(7/2)
*d^5*e*f^4 - 416*a^(9/2)*b^4*c^(5/2)*d^6*e*f^4 + 128*a^(11/2)*b^3*c^(3/2)*d^7*e*f^4 + 28*a^(1/2)*b^8*c^(9/2)*d
^4*e^3*f^2 - 244*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f^2 + 468*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f^2 - 316*a^(7/2)*b^5*c^(3/
2)*d^7*e^3*f^2 + 64*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f^2 - 108*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^3 + 548*a^(3/2)*b^7*c
^(9/2)*d^4*e^2*f^3 - 788*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^3 + 300*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^3 + 112*a^(9/2)*b
^4*c^(3/2)*d^7*e^2*f^3 - 64*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^3))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/
2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(34*b^8*c^8*d*f^4 + 6*a^4*b^4*d^9*e^4 + 6*b^8*c^4*d^5*e^4 - 60*a^2*
b^6*c^2*d^7*e^4 + 236*a^2*b^6*c^6*d^3*f^4 - 312*a^3*b^5*c^5*d^4*f^4 + 258*a^4*b^4*c^4*d^5*f^4 - 128*a^5*b^3*c^
3*d^6*f^4 + 32*a^6*b^2*c^2*d^7*f^4 + 32*a^6*b^2*d^9*e^2*f^2 + 112*b^8*c^6*d^3*e^2*f^2 + 24*a*b^7*c^3*d^6*e^4 +
24*a^3*b^5*c*d^8*e^4 - 120*a*b^7*c^7*d^2*f^4 - 32*a^5*b^3*d^9*e^3*f - 48*b^8*c^5*d^4*e^3*f - 104*b^8*c^7*d^2*
e*f^3 + 288*a*b^7*c^6*d^3*e*f^3 + 48*a^4*b^4*c*d^8*e^3*f - 64*a^6*b^2*c*d^8*e*f^3 - 192*a*b^7*c^5*d^4*e^2*f^2
+ 128*a^2*b^6*c^3*d^6*e^3*f - 464*a^2*b^6*c^5*d^4*e*f^3 - 96*a^3*b^5*c^2*d^7*e^3*f + 576*a^3*b^5*c^4*d^5*e*f^3
- 456*a^4*b^4*c^3*d^6*e*f^3 - 64*a^5*b^3*c*d^8*e^2*f^2 + 224*a^5*b^3*c^2*d^7*e*f^3 + 160*a^2*b^6*c^4*d^5*e^2*
f^2 - 192*a^3*b^5*c^3*d^6*e^2*f^2 + 144*a^4*b^4*c^2*d^7*e^2*f^2))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^
(1/2)*f) + (131072*((a + b*x)^(1/2) - a^(1/2))*(48*a^(1/2)*b^7*c^(9/2)*d^5*e^3 - 208*a^(3/2)*b^6*c^(7/2)*d^6*e
^3 + 336*a^(5/2)*b^5*c^(5/2)*d^7*e^3 - 240*a^(7/2)*b^4*c^(3/2)*d^8*e^3 + 64*a^(9/2)*b^3*c^(1/2)*d^9*e^3 - 48*a
^(1/2)*b^7*c^(15/2)*d^2*f^3 + 208*a^(3/2)*b^6*c^(13/2)*d^3*f^3 - 336*a^(5/2)*b^5*c^(11/2)*d^4*f^3 + 240*a^(7/2
)*b^4*c^(9/2)*d^5*f^3 - 64*a^(9/2)*b^3*c^(7/2)*d^6*f^3 - 144*a^(1/2)*b^7*c^(11/2)*d^4*e^2*f + 624*a^(3/2)*b^6*
c^(9/2)*d^5*e^2*f - 1008*a^(5/2)*b^5*c^(7/2)*d^6*e^2*f + 720*a^(7/2)*b^4*c^(5/2)*d^7*e^2*f - 192*a^(9/2)*b^3*c
^(3/2)*d^8*e^2*f + 144*a^(1/2)*b^7*c^(13/2)*d^3*e*f^2 - 624*a^(3/2)*b^6*c^(11/2)*d^4*e*f^2 + 1008*a^(5/2)*b^5*
c^(9/2)*d^5*e*f^2 - 720*a^(7/2)*b^4*c^(7/2)*d^6*e*f^2 + 192*a^(9/2)*b^3*c^(5/2)*d^7*e*f^2))/(d^17*e^8*((c + d*
x)^(1/2) - c^(1/2)))))*4i)/(b^(1/2)*f) - (atan((((c*f - d*e)*((1024*(48*a^(1/2)*b^5*c^(5/2)*d^3*e^3 + 48*a^(5/
2)*b^3*c^(1/2)*d^5*e^3 - 128*a^(5/2)*b^3*c^(7/2)*d^2*f^3 + 16*a^(7/2)*b^2*c^(5/2)*d^3*f^3 + 16*a^(3/2)*b^4*c^(
9/2)*d*f^3 + 24*a^(1/2)*b^5*c^(9/2)*d*e*f^2 - 72*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f - 32*a^(3/2)*b^4*c^(5/2)*d^3*e^
2*f - 200*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f + 16*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f + 16*a^(3/2)*b^4*c^(7/2)*d^2*e*f^2
+ 280*a^(5/2)*b^3*c^(5/2)*d^3*e*f^2 - 32*a^(7/2)*b^2*c^(3/2)*d^4*e*f^2))/(d^11*e^6) + ((c*f - d*e)*((1024*(24*
a*b^5*c^5*f^4 + 4*b^6*c^5*e*f^3 - 9*a^2*b^4*d^5*e^4 - 9*b^6*c^2*d^3*e^4 + 88*a^3*b^3*c^3*d^2*f^4 + 16*a^4*b^2*
c^2*d^3*f^4 + 18*a*b^5*c*d^4*e^4 + 16*a^2*b^4*c^4*d*f^4 + 12*a^3*b^3*d^5*e^3*f + 30*b^6*c^3*d^2*e^3*f - 29*b^6
*c^4*d*e^2*f^2 - 120*a*b^5*c^2*d^3*e^3*f - 66*a^2*b^4*c*d^4*e^3*f - 16*a^4*b^2*c*d^4*e*f^3 + 174*a*b^5*c^3*d^2
*e^2*f^2 - 172*a^2*b^4*c^3*d^2*e*f^3 + 68*a^3*b^3*c*d^4*e^2*f^2 - 164*a^3*b^3*c^2*d^3*e*f^3 - 84*a*b^5*c^4*d*e
*f^3 + 219*a^2*b^4*c^2*d^3*e^2*f^2))/(d^11*e^6) - ((c*f - d*e)*((1024*(16*a^(9/2)*b^2*c^(3/2)*d^3*f^5 - 16*a^(
5/2)*b^4*c^(7/2)*d*f^5 + 40*a^(3/2)*b^5*c^(7/2)*d*e*f^4 - 30*a^(1/2)*b^6*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^4*c^
(5/2)*d^2*e*f^4 + 8*a^(7/2)*b^3*c^(3/2)*d^3*e*f^4 - 16*a^(9/2)*b^2*c^(1/2)*d^4*e*f^4 + 30*a^(1/2)*b^6*c^(5/2)*
d^2*e^3*f^2 - 60*a^(3/2)*b^5*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^2 + 20*a^(3/2)*b^5*c^(5/2)
*d^2*e^2*f^3 + 18*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^3 - 8*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^3))/(d^11*e^6) + ((c*f - d
*e)*((1024*(12*a^2*b^5*c^4*f^6 - 16*b^7*c^4*e^2*f^4 + 12*a^4*b^3*c^2*d^2*f^6 - 9*a^2*b^5*d^4*e^4*f^2 + 24*a^3*
b^4*d^4*e^3*f^3 - 16*a^4*b^3*d^4*e^2*f^4 - 9*b^7*c^2*d^2*e^4*f^2 + 4*a*b^6*c^4*e*f^5 + 24*a^3*b^4*c^3*d*f^6 +
24*b^7*c^3*d*e^3*f^3 + 18*a*b^6*c*d^3*e^4*f^2 + 29*a*b^6*c^3*d*e^2*f^4 - 76*a^2*b^5*c^3*d*e*f^5 + 4*a^4*b^3*c*
d^3*e*f^5 - 48*a*b^6*c^2*d^2*e^3*f^3 - 48*a^2*b^5*c*d^3*e^3*f^3 + 29*a^3*b^4*c*d^3*e^2*f^4 - 76*a^3*b^4*c^2*d^
2*e*f^5 + 118*a^2*b^5*c^2*d^2*e^2*f^4))/(d^11*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(32*a*b^5*c^5*f^6 - 3
2*b^6*c^5*e*f^5 - 40*a^3*b^3*c^3*d^2*f^6 + 12*a^4*b^2*c^2*d^3*f^6 + 9*a^2*b^4*d^5*e^4*f^2 - 42*a^3*b^3*d^5*e^3
*f^3 + 64*a^4*b^2*d^5*e^2*f^4 + 9*b^6*c^2*d^3*e^4*f^2 - 42*b^6*c^3*d^2*e^3*f^3 + 32*a^5*b*c*d^4*f^6 - 32*a^5*b
*d^5*e*f^5 + 12*a^2*b^4*c^4*d*f^6 + 64*b^6*c^4*d*e^2*f^4 - 18*a*b^5*c*d^4*e^4*f^2 - 76*a^4*b^2*c*d^4*e*f^5 + 1
8*a*b^5*c^2*d^3*e^3*f^3 + 47*a*b^5*c^3*d^2*e^2*f^4 + 18*a^2*b^4*c*d^4*e^3*f^3 + 36*a^2*b^4*c^3*d^2*e*f^5 + 47*
a^3*b^3*c*d^4*e^2*f^4 + 36*a^3*b^3*c^2*d^3*e*f^5 - 76*a*b^5*c^4*d*e*f^5 - 78*a^2*b^4*c^2*d^3*e^2*f^4))/(d^11*e
^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(7/2)*b^3*c^(5/2)*d^2*f^6 - 36*a^(
3/2)*b^5*c^(9/2)*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^3*f^6 + 12*a^(5/2)*b^4*c^(7/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*
e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d*e*f^5 - 59*a^(1/2)*b^6*c^(7/2)*d*e^2*f^4 - 20*a^(5/2)*b^4*c^(5/2)*d^2*e*f^5 +
46*a^(7/2)*b^3*c^(3/2)*d^3*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^4*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^3 + 24
*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^3 - 13*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^4 - 5
9*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f -
b*c*e*f)^(1/2)) - (2048*((a + b*x)^(1/2) - a^(1/2))*(20*a*b^5*c^5*f^5 - 20*b^6*c^5*e*f^4 - 116*a^3*b^3*c^3*d^
2*f^5 + 60*a^4*b^2*c^2*d^3*f^5 - 15*a^3*b^3*d^5*e^3*f^2 + 32*a^4*b^2*d^5*e^2*f^3 - 15*b^6*c^3*d^2*e^3*f^2 + 16
*a^5*b*c*d^4*f^5 - 16*a^5*b*d^5*e*f^4 + 20*a^2*b^4*c^4*d*f^5 + 35*b^6*c^4*d*e^2*f^3 - 92*a^4*b^2*c*d^4*e*f^4 +
15*a*b^5*c^2*d^3*e^3*f^2 + 25*a*b^5*c^3*d^2*e^2*f^3 + 15*a^2*b^4*c*d^4*e^3*f^2 + 120*a^2*b^4*c^3*d^2*e*f^4 +
63*a^3*b^3*c*d^4*e^2*f^3 + 68*a^3*b^3*c^2*d^3*e*f^4 - 60*a*b^5*c^4*d*e*f^4 - 155*a^2*b^4*c^2*d^3*e^2*f^3))/(d^
11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(176*a^(5/2)*b^3*c^(7/2)*d^2*f^5 + 4
0*a^(7/2)*b^2*c^(5/2)*d^3*f^5 - 120*a^(3/2)*b^4*c^(9/2)*d*f^5 - 96*a^(9/2)*b*c^(3/2)*d^4*f^5 + 120*a^(1/2)*b^5
*c^(9/2)*d*e*f^4 + 96*a^(9/2)*b*c^(1/2)*d^5*e*f^4 + 40*a^(3/2)*b^4*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^3*c^(5/2)
*d^3*e*f^4 + 152*a^(7/2)*b^2*c^(3/2)*d^4*e*f^4 + 90*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^4*c^(3/2)*
d^4*e^3*f^2 + 90*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f^2 - 210*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^3 + 260*a^(3/2)*b^4*c^(5/
2)*d^3*e^2*f^3 + 142*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^3 - 192*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^3))/(d^11*e^6*((c + d
*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2)
)*(4*a^(3/2)*b^4*c^(9/2)*d*f^4 - 52*a^(5/2)*b^3*c^(7/2)*d^2*f^4 - 28*a^(7/2)*b^2*c^(5/2)*d^3*f^4 - 36*a^(1/2)*
b^5*c^(11/2)*f^4 - 32*a^(9/2)*b*c^(3/2)*d^4*f^4 + 114*a^(1/2)*b^5*c^(9/2)*d*e*f^3 + 32*a^(9/2)*b*c^(1/2)*d^5*e
*f^3 + 42*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f + 60*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f + 42*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f
+ 44*a^(3/2)*b^4*c^(7/2)*d^2*e*f^3 + 130*a^(5/2)*b^3*c^(5/2)*d^3*e*f^3 + 112*a^(7/2)*b^2*c^(3/2)*d^4*e*f^3 - 1
16*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^2 - 120*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^2 - 108*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^2
- 88*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1
/2))^2*(64*a^5*d^6*e*f^3 - 64*a^5*c*d^5*f^4 - 32*b^5*c^6*f^4 - 9*a^2*b^3*d^6*e^4 - 9*b^5*c^2*d^4*e^4 + 144*a^2
*b^3*c^4*d^2*f^4 - 272*a^3*b^2*c^3*d^3*f^4 - 141*b^5*c^4*d^2*e^2*f^2 + 18*a*b^4*c*d^5*e^4 - 48*a*b^4*c^5*d*f^4
+ 132*b^5*c^5*d*e*f^3 + 128*a^4*b*c^2*d^4*f^4 + 36*a^3*b^2*d^6*e^3*f - 96*a^4*b*d^6*e^2*f^2 + 54*b^5*c^3*d^3*
e^3*f - 36*a*b^4*c^4*d^2*e*f^3 + 54*a^2*b^3*c*d^5*e^3*f + 54*a*b^4*c^3*d^3*e^2*f^2 + 84*a^2*b^3*c^3*d^3*e*f^3
+ 12*a^3*b^2*c*d^5*e^2*f^2 + 220*a^3*b^2*c^2*d^4*e*f^3 - 32*a^4*b*c*d^5*e*f^3 - 261*a^2*b^3*c^2*d^4*e^2*f^2))/
(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*((a + b*x
)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^4*c^(5/2)*d^4*e^3 - 240*a^(3/2)*b^3*c^(3/2)*d^5*e^3 + 72*a^(5/2)*b^2*c^(1/2
)*d^6*e^3 + 144*a^(3/2)*b^3*c^(9/2)*d^2*f^3 + 168*a^(5/2)*b^2*c^(7/2)*d^3*f^3 - 120*a^(1/2)*b^4*c^(11/2)*d*f^3
- 96*a^(7/2)*b*c^(5/2)*d^4*f^3 - 96*a^(7/2)*b*c^(1/2)*d^6*e^2*f + 192*a^(7/2)*b*c^(3/2)*d^5*e*f^2 - 288*a^(1/
2)*b^4*c^(7/2)*d^3*e^2*f + 672*a^(3/2)*b^3*c^(5/2)*d^4*e^2*f + 336*a^(1/2)*b^4*c^(9/2)*d^2*e*f^2 - 576*a^(3/2)
*b^3*c^(7/2)*d^3*e*f^2 - 240*a^(5/2)*b^2*c^(5/2)*d^4*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*
((a + b*x)^(1/2) - a^(1/2))*(12*a^3*b^2*d^6*e^3 - 20*b^5*c^6*f^3 + 12*b^5*c^3*d^3*e^3 + 164*a^2*b^3*c^4*d^2*f^
3 + 4*a^3*b^2*c^3*d^3*f^3 - 36*a*b^4*c^5*d*f^3 - 16*a^4*b*d^6*e^2*f + 56*b^5*c^5*d*e*f^2 - 60*a*b^4*c^2*d^4*e^
3 - 60*a^2*b^3*c*d^5*e^3 - 16*a^4*b*c^2*d^4*f^3 - 48*b^5*c^4*d^2*e^2*f + 72*a*b^4*c^3*d^3*e^2*f + 24*a*b^4*c^4
*d^2*e*f^2 - 40*a^3*b^2*c*d^5*e^2*f + 320*a^2*b^3*c^2*d^4*e^2*f - 424*a^2*b^3*c^3*d^3*e*f^2 + 24*a^3*b^2*c^2*d
^4*e*f^2 + 32*a^4*b*c*d^5*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))))*1i)/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f
- b*c*e*f)^(1/2)) + ((c*f - d*e)*((1024*(48*a^(1/2)*b^5*c^(5/2)*d^3*e^3 + 48*a^(5/2)*b^3*c^(1/2)*d^5*e^3 - 128
*a^(5/2)*b^3*c^(7/2)*d^2*f^3 + 16*a^(7/2)*b^2*c^(5/2)*d^3*f^3 + 16*a^(3/2)*b^4*c^(9/2)*d*f^3 + 24*a^(1/2)*b^5*
c^(9/2)*d*e*f^2 - 72*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f - 32*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f - 200*a^(5/2)*b^3*c^(3/2
)*d^4*e^2*f + 16*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f + 16*a^(3/2)*b^4*c^(7/2)*d^2*e*f^2 + 280*a^(5/2)*b^3*c^(5/2)*d^
3*e*f^2 - 32*a^(7/2)*b^2*c^(3/2)*d^4*e*f^2))/(d^11*e^6) - ((c*f - d*e)*((1024*(24*a*b^5*c^5*f^4 + 4*b^6*c^5*e*
f^3 - 9*a^2*b^4*d^5*e^4 - 9*b^6*c^2*d^3*e^4 + 88*a^3*b^3*c^3*d^2*f^4 + 16*a^4*b^2*c^2*d^3*f^4 + 18*a*b^5*c*d^4
*e^4 + 16*a^2*b^4*c^4*d*f^4 + 12*a^3*b^3*d^5*e^3*f + 30*b^6*c^3*d^2*e^3*f - 29*b^6*c^4*d*e^2*f^2 - 120*a*b^5*c
^2*d^3*e^3*f - 66*a^2*b^4*c*d^4*e^3*f - 16*a^4*b^2*c*d^4*e*f^3 + 174*a*b^5*c^3*d^2*e^2*f^2 - 172*a^2*b^4*c^3*d
^2*e*f^3 + 68*a^3*b^3*c*d^4*e^2*f^2 - 164*a^3*b^3*c^2*d^3*e*f^3 - 84*a*b^5*c^4*d*e*f^3 + 219*a^2*b^4*c^2*d^3*e
^2*f^2))/(d^11*e^6) - ((c*f - d*e)*(((c*f - d*e)*((1024*(12*a^2*b^5*c^4*f^6 - 16*b^7*c^4*e^2*f^4 + 12*a^4*b^3*
c^2*d^2*f^6 - 9*a^2*b^5*d^4*e^4*f^2 + 24*a^3*b^4*d^4*e^3*f^3 - 16*a^4*b^3*d^4*e^2*f^4 - 9*b^7*c^2*d^2*e^4*f^2
+ 4*a*b^6*c^4*e*f^5 + 24*a^3*b^4*c^3*d*f^6 + 24*b^7*c^3*d*e^3*f^3 + 18*a*b^6*c*d^3*e^4*f^2 + 29*a*b^6*c^3*d*e^
2*f^4 - 76*a^2*b^5*c^3*d*e*f^5 + 4*a^4*b^3*c*d^3*e*f^5 - 48*a*b^6*c^2*d^2*e^3*f^3 - 48*a^2*b^5*c*d^3*e^3*f^3 +
29*a^3*b^4*c*d^3*e^2*f^4 - 76*a^3*b^4*c^2*d^2*e*f^5 + 118*a^2*b^5*c^2*d^2*e^2*f^4))/(d^11*e^6) + (1024*((a +
b*x)^(1/2) - a^(1/2))^2*(32*a*b^5*c^5*f^6 - 32*b^6*c^5*e*f^5 - 40*a^3*b^3*c^3*d^2*f^6 + 12*a^4*b^2*c^2*d^3*f^6
+ 9*a^2*b^4*d^5*e^4*f^2 - 42*a^3*b^3*d^5*e^3*f^3 + 64*a^4*b^2*d^5*e^2*f^4 + 9*b^6*c^2*d^3*e^4*f^2 - 42*b^6*c^
3*d^2*e^3*f^3 + 32*a^5*b*c*d^4*f^6 - 32*a^5*b*d^5*e*f^5 + 12*a^2*b^4*c^4*d*f^6 + 64*b^6*c^4*d*e^2*f^4 - 18*a*b
^5*c*d^4*e^4*f^2 - 76*a^4*b^2*c*d^4*e*f^5 + 18*a*b^5*c^2*d^3*e^3*f^3 + 47*a*b^5*c^3*d^2*e^2*f^4 + 18*a^2*b^4*c
*d^4*e^3*f^3 + 36*a^2*b^4*c^3*d^2*e*f^5 + 47*a^3*b^3*c*d^4*e^2*f^4 + 36*a^3*b^3*c^2*d^3*e*f^5 - 76*a*b^5*c^4*d
*e*f^5 - 78*a^2*b^4*c^2*d^3*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1
/2))*(12*a^(7/2)*b^3*c^(5/2)*d^2*f^6 - 36*a^(3/2)*b^5*c^(9/2)*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^3*f^6 + 12*a^(5/2
)*b^4*c^(7/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d*e*f^5 - 59*a^(1/2)*b^6*c^(7/2)*d
*e^2*f^4 - 20*a^(5/2)*b^4*c^(5/2)*d^2*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^3*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^4*e*
f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^3 - 13*a^(3/2)*b^5*c^(5/2)*d^2*e^2
*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) -
c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*(16*a^(9/2)*b^2*c^(3/2)*d^3*f^5 - 16*a^(
5/2)*b^4*c^(7/2)*d*f^5 + 40*a^(3/2)*b^5*c^(7/2)*d*e*f^4 - 30*a^(1/2)*b^6*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^4*c^
(5/2)*d^2*e*f^4 + 8*a^(7/2)*b^3*c^(3/2)*d^3*e*f^4 - 16*a^(9/2)*b^2*c^(1/2)*d^4*e*f^4 + 30*a^(1/2)*b^6*c^(5/2)*
d^2*e^3*f^2 - 60*a^(3/2)*b^5*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^2 + 20*a^(3/2)*b^5*c^(5/2)
*d^2*e^2*f^3 + 18*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^3 - 8*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^3))/(d^11*e^6) + (2048*((a
+ b*x)^(1/2) - a^(1/2))*(20*a*b^5*c^5*f^5 - 20*b^6*c^5*e*f^4 - 116*a^3*b^3*c^3*d^2*f^5 + 60*a^4*b^2*c^2*d^3*f
^5 - 15*a^3*b^3*d^5*e^3*f^2 + 32*a^4*b^2*d^5*e^2*f^3 - 15*b^6*c^3*d^2*e^3*f^2 + 16*a^5*b*c*d^4*f^5 - 16*a^5*b*
d^5*e*f^4 + 20*a^2*b^4*c^4*d*f^5 + 35*b^6*c^4*d*e^2*f^3 - 92*a^4*b^2*c*d^4*e*f^4 + 15*a*b^5*c^2*d^3*e^3*f^2 +
25*a*b^5*c^3*d^2*e^2*f^3 + 15*a^2*b^4*c*d^4*e^3*f^2 + 120*a^2*b^4*c^3*d^2*e*f^4 + 63*a^3*b^3*c*d^4*e^2*f^3 + 6
8*a^3*b^3*c^2*d^3*e*f^4 - 60*a*b^5*c^4*d*e*f^4 - 155*a^2*b^4*c^2*d^3*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^
(1/2))) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(176*a^(5/2)*b^3*c^(7/2)*d^2*f^5 + 40*a^(7/2)*b^2*c^(5/2)*d^3*f^
5 - 120*a^(3/2)*b^4*c^(9/2)*d*f^5 - 96*a^(9/2)*b*c^(3/2)*d^4*f^5 + 120*a^(1/2)*b^5*c^(9/2)*d*e*f^4 + 96*a^(9/2
)*b*c^(1/2)*d^5*e*f^4 + 40*a^(3/2)*b^4*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^3*c^(5/2)*d^3*e*f^4 + 152*a^(7/2)*b^2
*c^(3/2)*d^4*e*f^4 + 90*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^3
*c^(1/2)*d^5*e^3*f^2 - 210*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^3 + 260*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^3 + 142*a^(5/2)
*b^3*c^(3/2)*d^4*e^2*f^3 - 192*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f
*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(3/2)*b^4*c^(9/2)*d*f
^4 - 52*a^(5/2)*b^3*c^(7/2)*d^2*f^4 - 28*a^(7/2)*b^2*c^(5/2)*d^3*f^4 - 36*a^(1/2)*b^5*c^(11/2)*f^4 - 32*a^(9/2
)*b*c^(3/2)*d^4*f^4 + 114*a^(1/2)*b^5*c^(9/2)*d*e*f^3 + 32*a^(9/2)*b*c^(1/2)*d^5*e*f^3 + 42*a^(1/2)*b^5*c^(5/2
)*d^3*e^3*f + 60*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f + 42*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f + 44*a^(3/2)*b^4*c^(7/2)*d^2
*e*f^3 + 130*a^(5/2)*b^3*c^(5/2)*d^3*e*f^3 + 112*a^(7/2)*b^2*c^(3/2)*d^4*e*f^3 - 116*a^(1/2)*b^5*c^(7/2)*d^2*e
^2*f^2 - 120*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^2 - 108*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^2 - 88*a^(7/2)*b^2*c^(1/2)*d^
5*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*a^5*d^6*e*f^3 - 6
4*a^5*c*d^5*f^4 - 32*b^5*c^6*f^4 - 9*a^2*b^3*d^6*e^4 - 9*b^5*c^2*d^4*e^4 + 144*a^2*b^3*c^4*d^2*f^4 - 272*a^3*b
^2*c^3*d^3*f^4 - 141*b^5*c^4*d^2*e^2*f^2 + 18*a*b^4*c*d^5*e^4 - 48*a*b^4*c^5*d*f^4 + 132*b^5*c^5*d*e*f^3 + 128
*a^4*b*c^2*d^4*f^4 + 36*a^3*b^2*d^6*e^3*f - 96*a^4*b*d^6*e^2*f^2 + 54*b^5*c^3*d^3*e^3*f - 36*a*b^4*c^4*d^2*e*f
^3 + 54*a^2*b^3*c*d^5*e^3*f + 54*a*b^4*c^3*d^3*e^2*f^2 + 84*a^2*b^3*c^3*d^3*e*f^3 + 12*a^3*b^2*c*d^5*e^2*f^2 +
220*a^3*b^2*c^2*d^4*e*f^3 - 32*a^4*b*c*d^5*e*f^3 - 261*a^2*b^3*c^2*d^4*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) -
c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(
1/2)*b^4*c^(5/2)*d^4*e^3 - 240*a^(3/2)*b^3*c^(3/2)*d^5*e^3 + 72*a^(5/2)*b^2*c^(1/2)*d^6*e^3 + 144*a^(3/2)*b^3*
c^(9/2)*d^2*f^3 + 168*a^(5/2)*b^2*c^(7/2)*d^3*f^3 - 120*a^(1/2)*b^4*c^(11/2)*d*f^3 - 96*a^(7/2)*b*c^(5/2)*d^4*
f^3 - 96*a^(7/2)*b*c^(1/2)*d^6*e^2*f + 192*a^(7/2)*b*c^(3/2)*d^5*e*f^2 - 288*a^(1/2)*b^4*c^(7/2)*d^3*e^2*f + 6
72*a^(3/2)*b^3*c^(5/2)*d^4*e^2*f + 336*a^(1/2)*b^4*c^(9/2)*d^2*e*f^2 - 576*a^(3/2)*b^3*c^(7/2)*d^3*e*f^2 - 240
*a^(5/2)*b^2*c^(5/2)*d^4*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*
(12*a^3*b^2*d^6*e^3 - 20*b^5*c^6*f^3 + 12*b^5*c^3*d^3*e^3 + 164*a^2*b^3*c^4*d^2*f^3 + 4*a^3*b^2*c^3*d^3*f^3 -
36*a*b^4*c^5*d*f^3 - 16*a^4*b*d^6*e^2*f + 56*b^5*c^5*d*e*f^2 - 60*a*b^4*c^2*d^4*e^3 - 60*a^2*b^3*c*d^5*e^3 - 1
6*a^4*b*c^2*d^4*f^3 - 48*b^5*c^4*d^2*e^2*f + 72*a*b^4*c^3*d^3*e^2*f + 24*a*b^4*c^4*d^2*e*f^2 - 40*a^3*b^2*c*d^
5*e^2*f + 320*a^2*b^3*c^2*d^4*e^2*f - 424*a^2*b^3*c^3*d^3*e*f^2 + 24*a^3*b^2*c^2*d^4*e*f^2 + 32*a^4*b*c*d^5*e*
f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))))*1i)/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)))/((2048*(1
2*b^5*c^6*f^2 + 12*b^5*c^4*d^2*e^2 - 24*b^5*c^5*d*e*f - 52*a^2*b^3*c^2*d^4*e^2 - 52*a^2*b^3*c^4*d^2*f^2 + 16*a
^3*b^2*c^3*d^3*f^2 + 24*a*b^4*c^5*d*f^2 + 24*a*b^4*c^3*d^3*e^2 + 16*a^3*b^2*c*d^5*e^2 + 104*a^2*b^3*c^3*d^3*e*
f - 32*a^3*b^2*c^2*d^4*e*f - 48*a*b^4*c^4*d^2*e*f))/(d^11*e^6) - ((c*f - d*e)*((1024*(48*a^(1/2)*b^5*c^(5/2)*d
^3*e^3 + 48*a^(5/2)*b^3*c^(1/2)*d^5*e^3 - 128*a^(5/2)*b^3*c^(7/2)*d^2*f^3 + 16*a^(7/2)*b^2*c^(5/2)*d^3*f^3 + 1
6*a^(3/2)*b^4*c^(9/2)*d*f^3 + 24*a^(1/2)*b^5*c^(9/2)*d*e*f^2 - 72*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f - 32*a^(3/2)*b
^4*c^(5/2)*d^3*e^2*f - 200*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f + 16*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f + 16*a^(3/2)*b^4*c
^(7/2)*d^2*e*f^2 + 280*a^(5/2)*b^3*c^(5/2)*d^3*e*f^2 - 32*a^(7/2)*b^2*c^(3/2)*d^4*e*f^2))/(d^11*e^6) + ((c*f -
d*e)*((1024*(24*a*b^5*c^5*f^4 + 4*b^6*c^5*e*f^3 - 9*a^2*b^4*d^5*e^4 - 9*b^6*c^2*d^3*e^4 + 88*a^3*b^3*c^3*d^2*
f^4 + 16*a^4*b^2*c^2*d^3*f^4 + 18*a*b^5*c*d^4*e^4 + 16*a^2*b^4*c^4*d*f^4 + 12*a^3*b^3*d^5*e^3*f + 30*b^6*c^3*d
^2*e^3*f - 29*b^6*c^4*d*e^2*f^2 - 120*a*b^5*c^2*d^3*e^3*f - 66*a^2*b^4*c*d^4*e^3*f - 16*a^4*b^2*c*d^4*e*f^3 +
174*a*b^5*c^3*d^2*e^2*f^2 - 172*a^2*b^4*c^3*d^2*e*f^3 + 68*a^3*b^3*c*d^4*e^2*f^2 - 164*a^3*b^3*c^2*d^3*e*f^3 -
84*a*b^5*c^4*d*e*f^3 + 219*a^2*b^4*c^2*d^3*e^2*f^2))/(d^11*e^6) - ((c*f - d*e)*((1024*(16*a^(9/2)*b^2*c^(3/2)
*d^3*f^5 - 16*a^(5/2)*b^4*c^(7/2)*d*f^5 + 40*a^(3/2)*b^5*c^(7/2)*d*e*f^4 - 30*a^(1/2)*b^6*c^(7/2)*d*e^2*f^3 -
32*a^(5/2)*b^4*c^(5/2)*d^2*e*f^4 + 8*a^(7/2)*b^3*c^(3/2)*d^3*e*f^4 - 16*a^(9/2)*b^2*c^(1/2)*d^4*e*f^4 + 30*a^(
1/2)*b^6*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^5*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^2 + 20*a^
(3/2)*b^5*c^(5/2)*d^2*e^2*f^3 + 18*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^3 - 8*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^3))/(d^11
*e^6) + ((c*f - d*e)*((1024*(12*a^2*b^5*c^4*f^6 - 16*b^7*c^4*e^2*f^4 + 12*a^4*b^3*c^2*d^2*f^6 - 9*a^2*b^5*d^4*
e^4*f^2 + 24*a^3*b^4*d^4*e^3*f^3 - 16*a^4*b^3*d^4*e^2*f^4 - 9*b^7*c^2*d^2*e^4*f^2 + 4*a*b^6*c^4*e*f^5 + 24*a^3
*b^4*c^3*d*f^6 + 24*b^7*c^3*d*e^3*f^3 + 18*a*b^6*c*d^3*e^4*f^2 + 29*a*b^6*c^3*d*e^2*f^4 - 76*a^2*b^5*c^3*d*e*f
^5 + 4*a^4*b^3*c*d^3*e*f^5 - 48*a*b^6*c^2*d^2*e^3*f^3 - 48*a^2*b^5*c*d^3*e^3*f^3 + 29*a^3*b^4*c*d^3*e^2*f^4 -
76*a^3*b^4*c^2*d^2*e*f^5 + 118*a^2*b^5*c^2*d^2*e^2*f^4))/(d^11*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(32*
a*b^5*c^5*f^6 - 32*b^6*c^5*e*f^5 - 40*a^3*b^3*c^3*d^2*f^6 + 12*a^4*b^2*c^2*d^3*f^6 + 9*a^2*b^4*d^5*e^4*f^2 - 4
2*a^3*b^3*d^5*e^3*f^3 + 64*a^4*b^2*d^5*e^2*f^4 + 9*b^6*c^2*d^3*e^4*f^2 - 42*b^6*c^3*d^2*e^3*f^3 + 32*a^5*b*c*d
^4*f^6 - 32*a^5*b*d^5*e*f^5 + 12*a^2*b^4*c^4*d*f^6 + 64*b^6*c^4*d*e^2*f^4 - 18*a*b^5*c*d^4*e^4*f^2 - 76*a^4*b^
2*c*d^4*e*f^5 + 18*a*b^5*c^2*d^3*e^3*f^3 + 47*a*b^5*c^3*d^2*e^2*f^4 + 18*a^2*b^4*c*d^4*e^3*f^3 + 36*a^2*b^4*c^
3*d^2*e*f^5 + 47*a^3*b^3*c*d^4*e^2*f^4 + 36*a^3*b^3*c^2*d^3*e*f^5 - 76*a*b^5*c^4*d*e*f^5 - 78*a^2*b^4*c^2*d^3*
e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(7/2)*b^3*c^(5/2)
*d^2*f^6 - 36*a^(3/2)*b^5*c^(9/2)*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^3*f^6 + 12*a^(5/2)*b^4*c^(7/2)*d*f^6 + 36*a^(
1/2)*b^6*c^(9/2)*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d*e*f^5 - 59*a^(1/2)*b^6*c^(7/2)*d*e^2*f^4 - 20*a^(5/2)*b^4*c^
(5/2)*d^2*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^3*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^4*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)
*d^2*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^3 - 13*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2
)*d^3*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*
d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (2048*((a + b*x)^(1/2) - a^(1/2))*(20*a*b^5*c^5*f^5 - 20*b^6*c^5*e*f^4 - 1
16*a^3*b^3*c^3*d^2*f^5 + 60*a^4*b^2*c^2*d^3*f^5 - 15*a^3*b^3*d^5*e^3*f^2 + 32*a^4*b^2*d^5*e^2*f^3 - 15*b^6*c^3
*d^2*e^3*f^2 + 16*a^5*b*c*d^4*f^5 - 16*a^5*b*d^5*e*f^4 + 20*a^2*b^4*c^4*d*f^5 + 35*b^6*c^4*d*e^2*f^3 - 92*a^4*
b^2*c*d^4*e*f^4 + 15*a*b^5*c^2*d^3*e^3*f^2 + 25*a*b^5*c^3*d^2*e^2*f^3 + 15*a^2*b^4*c*d^4*e^3*f^2 + 120*a^2*b^4
*c^3*d^2*e*f^4 + 63*a^3*b^3*c*d^4*e^2*f^3 + 68*a^3*b^3*c^2*d^3*e*f^4 - 60*a*b^5*c^4*d*e*f^4 - 155*a^2*b^4*c^2*
d^3*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(176*a^(5/2)*b^3*c^
(7/2)*d^2*f^5 + 40*a^(7/2)*b^2*c^(5/2)*d^3*f^5 - 120*a^(3/2)*b^4*c^(9/2)*d*f^5 - 96*a^(9/2)*b*c^(3/2)*d^4*f^5
+ 120*a^(1/2)*b^5*c^(9/2)*d*e*f^4 + 96*a^(9/2)*b*c^(1/2)*d^5*e*f^4 + 40*a^(3/2)*b^4*c^(7/2)*d^2*e*f^4 - 408*a^
(5/2)*b^3*c^(5/2)*d^3*e*f^4 + 152*a^(7/2)*b^2*c^(3/2)*d^4*e*f^4 + 90*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f^2 - 180*a^(
3/2)*b^4*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f^2 - 210*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^3 + 260*
a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^3 + 142*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^3 - 192*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^3))/
(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x
)^(1/2) - a^(1/2))*(4*a^(3/2)*b^4*c^(9/2)*d*f^4 - 52*a^(5/2)*b^3*c^(7/2)*d^2*f^4 - 28*a^(7/2)*b^2*c^(5/2)*d^3*
f^4 - 36*a^(1/2)*b^5*c^(11/2)*f^4 - 32*a^(9/2)*b*c^(3/2)*d^4*f^4 + 114*a^(1/2)*b^5*c^(9/2)*d*e*f^3 + 32*a^(9/2
)*b*c^(1/2)*d^5*e*f^3 + 42*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f + 60*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f + 42*a^(5/2)*b^3*c
^(1/2)*d^5*e^3*f + 44*a^(3/2)*b^4*c^(7/2)*d^2*e*f^3 + 130*a^(5/2)*b^3*c^(5/2)*d^3*e*f^3 + 112*a^(7/2)*b^2*c^(3
/2)*d^4*e*f^3 - 116*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^2 - 120*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^2 - 108*a^(5/2)*b^3*c^
(3/2)*d^4*e^2*f^2 - 88*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a +
b*x)^(1/2) - a^(1/2))^2*(64*a^5*d^6*e*f^3 - 64*a^5*c*d^5*f^4 - 32*b^5*c^6*f^4 - 9*a^2*b^3*d^6*e^4 - 9*b^5*c^2*
d^4*e^4 + 144*a^2*b^3*c^4*d^2*f^4 - 272*a^3*b^2*c^3*d^3*f^4 - 141*b^5*c^4*d^2*e^2*f^2 + 18*a*b^4*c*d^5*e^4 - 4
8*a*b^4*c^5*d*f^4 + 132*b^5*c^5*d*e*f^3 + 128*a^4*b*c^2*d^4*f^4 + 36*a^3*b^2*d^6*e^3*f - 96*a^4*b*d^6*e^2*f^2
+ 54*b^5*c^3*d^3*e^3*f - 36*a*b^4*c^4*d^2*e*f^3 + 54*a^2*b^3*c*d^5*e^3*f + 54*a*b^4*c^3*d^3*e^2*f^2 + 84*a^2*b
^3*c^3*d^3*e*f^3 + 12*a^3*b^2*c*d^5*e^2*f^2 + 220*a^3*b^2*c^2*d^4*e*f^3 - 32*a^4*b*c*d^5*e*f^3 - 261*a^2*b^3*c
^2*d^4*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2))
- (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^4*c^(5/2)*d^4*e^3 - 240*a^(3/2)*b^3*c^(3/2)*d^5*e^3 + 72*a
^(5/2)*b^2*c^(1/2)*d^6*e^3 + 144*a^(3/2)*b^3*c^(9/2)*d^2*f^3 + 168*a^(5/2)*b^2*c^(7/2)*d^3*f^3 - 120*a^(1/2)*b
^4*c^(11/2)*d*f^3 - 96*a^(7/2)*b*c^(5/2)*d^4*f^3 - 96*a^(7/2)*b*c^(1/2)*d^6*e^2*f + 192*a^(7/2)*b*c^(3/2)*d^5*
e*f^2 - 288*a^(1/2)*b^4*c^(7/2)*d^3*e^2*f + 672*a^(3/2)*b^3*c^(5/2)*d^4*e^2*f + 336*a^(1/2)*b^4*c^(9/2)*d^2*e*
f^2 - 576*a^(3/2)*b^3*c^(7/2)*d^3*e*f^2 - 240*a^(5/2)*b^2*c^(5/2)*d^4*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(
1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^3*b^2*d^6*e^3 - 20*b^5*c^6*f^3 + 12*b^5*c^3*d^3*e^3 + 164*a
^2*b^3*c^4*d^2*f^3 + 4*a^3*b^2*c^3*d^3*f^3 - 36*a*b^4*c^5*d*f^3 - 16*a^4*b*d^6*e^2*f + 56*b^5*c^5*d*e*f^2 - 60
*a*b^4*c^2*d^4*e^3 - 60*a^2*b^3*c*d^5*e^3 - 16*a^4*b*c^2*d^4*f^3 - 48*b^5*c^4*d^2*e^2*f + 72*a*b^4*c^3*d^3*e^2
*f + 24*a*b^4*c^4*d^2*e*f^2 - 40*a^3*b^2*c*d^5*e^2*f + 320*a^2*b^3*c^2*d^4*e^2*f - 424*a^2*b^3*c^3*d^3*e*f^2 +
24*a^3*b^2*c^2*d^4*e*f^2 + 32*a^4*b*c*d^5*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*
e^2 - a*d*e*f - b*c*e*f)^(1/2)) + ((c*f - d*e)*((1024*(48*a^(1/2)*b^5*c^(5/2)*d^3*e^3 + 48*a^(5/2)*b^3*c^(1/2)
*d^5*e^3 - 128*a^(5/2)*b^3*c^(7/2)*d^2*f^3 + 16*a^(7/2)*b^2*c^(5/2)*d^3*f^3 + 16*a^(3/2)*b^4*c^(9/2)*d*f^3 + 2
4*a^(1/2)*b^5*c^(9/2)*d*e*f^2 - 72*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f - 32*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f - 200*a^(5
/2)*b^3*c^(3/2)*d^4*e^2*f + 16*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f + 16*a^(3/2)*b^4*c^(7/2)*d^2*e*f^2 + 280*a^(5/2)*
b^3*c^(5/2)*d^3*e*f^2 - 32*a^(7/2)*b^2*c^(3/2)*d^4*e*f^2))/(d^11*e^6) - ((c*f - d*e)*((1024*(24*a*b^5*c^5*f^4
+ 4*b^6*c^5*e*f^3 - 9*a^2*b^4*d^5*e^4 - 9*b^6*c^2*d^3*e^4 + 88*a^3*b^3*c^3*d^2*f^4 + 16*a^4*b^2*c^2*d^3*f^4 +
18*a*b^5*c*d^4*e^4 + 16*a^2*b^4*c^4*d*f^4 + 12*a^3*b^3*d^5*e^3*f + 30*b^6*c^3*d^2*e^3*f - 29*b^6*c^4*d*e^2*f^2
- 120*a*b^5*c^2*d^3*e^3*f - 66*a^2*b^4*c*d^4*e^3*f - 16*a^4*b^2*c*d^4*e*f^3 + 174*a*b^5*c^3*d^2*e^2*f^2 - 172
*a^2*b^4*c^3*d^2*e*f^3 + 68*a^3*b^3*c*d^4*e^2*f^2 - 164*a^3*b^3*c^2*d^3*e*f^3 - 84*a*b^5*c^4*d*e*f^3 + 219*a^2
*b^4*c^2*d^3*e^2*f^2))/(d^11*e^6) - ((c*f - d*e)*(((c*f - d*e)*((1024*(12*a^2*b^5*c^4*f^6 - 16*b^7*c^4*e^2*f^4
+ 12*a^4*b^3*c^2*d^2*f^6 - 9*a^2*b^5*d^4*e^4*f^2 + 24*a^3*b^4*d^4*e^3*f^3 - 16*a^4*b^3*d^4*e^2*f^4 - 9*b^7*c^
2*d^2*e^4*f^2 + 4*a*b^6*c^4*e*f^5 + 24*a^3*b^4*c^3*d*f^6 + 24*b^7*c^3*d*e^3*f^3 + 18*a*b^6*c*d^3*e^4*f^2 + 29*
a*b^6*c^3*d*e^2*f^4 - 76*a^2*b^5*c^3*d*e*f^5 + 4*a^4*b^3*c*d^3*e*f^5 - 48*a*b^6*c^2*d^2*e^3*f^3 - 48*a^2*b^5*c
*d^3*e^3*f^3 + 29*a^3*b^4*c*d^3*e^2*f^4 - 76*a^3*b^4*c^2*d^2*e*f^5 + 118*a^2*b^5*c^2*d^2*e^2*f^4))/(d^11*e^6)
+ (1024*((a + b*x)^(1/2) - a^(1/2))^2*(32*a*b^5*c^5*f^6 - 32*b^6*c^5*e*f^5 - 40*a^3*b^3*c^3*d^2*f^6 + 12*a^4*b
^2*c^2*d^3*f^6 + 9*a^2*b^4*d^5*e^4*f^2 - 42*a^3*b^3*d^5*e^3*f^3 + 64*a^4*b^2*d^5*e^2*f^4 + 9*b^6*c^2*d^3*e^4*f
^2 - 42*b^6*c^3*d^2*e^3*f^3 + 32*a^5*b*c*d^4*f^6 - 32*a^5*b*d^5*e*f^5 + 12*a^2*b^4*c^4*d*f^6 + 64*b^6*c^4*d*e^
2*f^4 - 18*a*b^5*c*d^4*e^4*f^2 - 76*a^4*b^2*c*d^4*e*f^5 + 18*a*b^5*c^2*d^3*e^3*f^3 + 47*a*b^5*c^3*d^2*e^2*f^4
+ 18*a^2*b^4*c*d^4*e^3*f^3 + 36*a^2*b^4*c^3*d^2*e*f^5 + 47*a^3*b^3*c*d^4*e^2*f^4 + 36*a^3*b^3*c^2*d^3*e*f^5 -
76*a*b^5*c^4*d*e*f^5 - 78*a^2*b^4*c^2*d^3*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x
)^(1/2) - a^(1/2))*(12*a^(7/2)*b^3*c^(5/2)*d^2*f^6 - 36*a^(3/2)*b^5*c^(9/2)*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^3*f
^6 + 12*a^(5/2)*b^4*c^(7/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d*e*f^5 - 59*a^(1/2)
*b^6*c^(7/2)*d*e^2*f^4 - 20*a^(5/2)*b^4*c^(5/2)*d^2*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^3*e*f^5 + 36*a^(9/2)*b^2*
c^(1/2)*d^4*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^3 - 13*a^(3/2)*b^5*c
^(5/2)*d^2*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^4))/(d^11*e^6*((c +
d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*(16*a^(9/2)*b^2*c^(3/2)*d^
3*f^5 - 16*a^(5/2)*b^4*c^(7/2)*d*f^5 + 40*a^(3/2)*b^5*c^(7/2)*d*e*f^4 - 30*a^(1/2)*b^6*c^(7/2)*d*e^2*f^3 - 32*
a^(5/2)*b^4*c^(5/2)*d^2*e*f^4 + 8*a^(7/2)*b^3*c^(3/2)*d^3*e*f^4 - 16*a^(9/2)*b^2*c^(1/2)*d^4*e*f^4 + 30*a^(1/2
)*b^6*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^5*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^2 + 20*a^(3/
2)*b^5*c^(5/2)*d^2*e^2*f^3 + 18*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^3 - 8*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^3))/(d^11*e^
6) + (2048*((a + b*x)^(1/2) - a^(1/2))*(20*a*b^5*c^5*f^5 - 20*b^6*c^5*e*f^4 - 116*a^3*b^3*c^3*d^2*f^5 + 60*a^4
*b^2*c^2*d^3*f^5 - 15*a^3*b^3*d^5*e^3*f^2 + 32*a^4*b^2*d^5*e^2*f^3 - 15*b^6*c^3*d^2*e^3*f^2 + 16*a^5*b*c*d^4*f
^5 - 16*a^5*b*d^5*e*f^4 + 20*a^2*b^4*c^4*d*f^5 + 35*b^6*c^4*d*e^2*f^3 - 92*a^4*b^2*c*d^4*e*f^4 + 15*a*b^5*c^2*
d^3*e^3*f^2 + 25*a*b^5*c^3*d^2*e^2*f^3 + 15*a^2*b^4*c*d^4*e^3*f^2 + 120*a^2*b^4*c^3*d^2*e*f^4 + 63*a^3*b^3*c*d
^4*e^2*f^3 + 68*a^3*b^3*c^2*d^3*e*f^4 - 60*a*b^5*c^4*d*e*f^4 - 155*a^2*b^4*c^2*d^3*e^2*f^3))/(d^11*e^6*((c + d
*x)^(1/2) - c^(1/2))) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(176*a^(5/2)*b^3*c^(7/2)*d^2*f^5 + 40*a^(7/2)*b^2*
c^(5/2)*d^3*f^5 - 120*a^(3/2)*b^4*c^(9/2)*d*f^5 - 96*a^(9/2)*b*c^(3/2)*d^4*f^5 + 120*a^(1/2)*b^5*c^(9/2)*d*e*f
^4 + 96*a^(9/2)*b*c^(1/2)*d^5*e*f^4 + 40*a^(3/2)*b^4*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^3*c^(5/2)*d^3*e*f^4 + 1
52*a^(7/2)*b^2*c^(3/2)*d^4*e*f^4 + 90*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f^2 +
90*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f^2 - 210*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^3 + 260*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^3
+ 142*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^3 - 192*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^
(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(3/2)*b
^4*c^(9/2)*d*f^4 - 52*a^(5/2)*b^3*c^(7/2)*d^2*f^4 - 28*a^(7/2)*b^2*c^(5/2)*d^3*f^4 - 36*a^(1/2)*b^5*c^(11/2)*f
^4 - 32*a^(9/2)*b*c^(3/2)*d^4*f^4 + 114*a^(1/2)*b^5*c^(9/2)*d*e*f^3 + 32*a^(9/2)*b*c^(1/2)*d^5*e*f^3 + 42*a^(1
/2)*b^5*c^(5/2)*d^3*e^3*f + 60*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f + 42*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f + 44*a^(3/2)*b
^4*c^(7/2)*d^2*e*f^3 + 130*a^(5/2)*b^3*c^(5/2)*d^3*e*f^3 + 112*a^(7/2)*b^2*c^(3/2)*d^4*e*f^3 - 116*a^(1/2)*b^5
*c^(7/2)*d^2*e^2*f^2 - 120*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^2 - 108*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^2 - 88*a^(7/2)*
b^2*c^(1/2)*d^5*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*a^5
*d^6*e*f^3 - 64*a^5*c*d^5*f^4 - 32*b^5*c^6*f^4 - 9*a^2*b^3*d^6*e^4 - 9*b^5*c^2*d^4*e^4 + 144*a^2*b^3*c^4*d^2*f
^4 - 272*a^3*b^2*c^3*d^3*f^4 - 141*b^5*c^4*d^2*e^2*f^2 + 18*a*b^4*c*d^5*e^4 - 48*a*b^4*c^5*d*f^4 + 132*b^5*c^5
*d*e*f^3 + 128*a^4*b*c^2*d^4*f^4 + 36*a^3*b^2*d^6*e^3*f - 96*a^4*b*d^6*e^2*f^2 + 54*b^5*c^3*d^3*e^3*f - 36*a*b
^4*c^4*d^2*e*f^3 + 54*a^2*b^3*c*d^5*e^3*f + 54*a*b^4*c^3*d^3*e^2*f^2 + 84*a^2*b^3*c^3*d^3*e*f^3 + 12*a^3*b^2*c
*d^5*e^2*f^2 + 220*a^3*b^2*c^2*d^4*e*f^3 - 32*a^4*b*c*d^5*e*f^3 - 261*a^2*b^3*c^2*d^4*e^2*f^2))/(d^11*e^6*((c
+ d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*((a + b*x)^(1/2) - a^(1
/2))^2*(72*a^(1/2)*b^4*c^(5/2)*d^4*e^3 - 240*a^(3/2)*b^3*c^(3/2)*d^5*e^3 + 72*a^(5/2)*b^2*c^(1/2)*d^6*e^3 + 14
4*a^(3/2)*b^3*c^(9/2)*d^2*f^3 + 168*a^(5/2)*b^2*c^(7/2)*d^3*f^3 - 120*a^(1/2)*b^4*c^(11/2)*d*f^3 - 96*a^(7/2)*
b*c^(5/2)*d^4*f^3 - 96*a^(7/2)*b*c^(1/2)*d^6*e^2*f + 192*a^(7/2)*b*c^(3/2)*d^5*e*f^2 - 288*a^(1/2)*b^4*c^(7/2)
*d^3*e^2*f + 672*a^(3/2)*b^3*c^(5/2)*d^4*e^2*f + 336*a^(1/2)*b^4*c^(9/2)*d^2*e*f^2 - 576*a^(3/2)*b^3*c^(7/2)*d
^3*e*f^2 - 240*a^(5/2)*b^2*c^(5/2)*d^4*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/
2) - a^(1/2))*(12*a^3*b^2*d^6*e^3 - 20*b^5*c^6*f^3 + 12*b^5*c^3*d^3*e^3 + 164*a^2*b^3*c^4*d^2*f^3 + 4*a^3*b^2*
c^3*d^3*f^3 - 36*a*b^4*c^5*d*f^3 - 16*a^4*b*d^6*e^2*f + 56*b^5*c^5*d*e*f^2 - 60*a*b^4*c^2*d^4*e^3 - 60*a^2*b^3
*c*d^5*e^3 - 16*a^4*b*c^2*d^4*f^3 - 48*b^5*c^4*d^2*e^2*f + 72*a*b^4*c^3*d^3*e^2*f + 24*a*b^4*c^4*d^2*e*f^2 - 4
0*a^3*b^2*c*d^5*e^2*f + 320*a^2*b^3*c^2*d^4*e^2*f - 424*a^2*b^3*c^3*d^3*e*f^2 + 24*a^3*b^2*c^2*d^4*e*f^2 + 32*
a^4*b*c*d^5*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2))
- (4096*((a + b*x)^(1/2) - a^(1/2))*(24*a^(1/2)*b^4*c^(7/2)*d^3*e^2 + 16*a^(3/2)*b^3*c^(5/2)*d^4*e^2 - 72*a^(
5/2)*b^2*c^(3/2)*d^5*e^2 + 16*a^(3/2)*b^3*c^(9/2)*d^2*f^2 - 72*a^(5/2)*b^2*c^(7/2)*d^3*f^2 + 32*a^(7/2)*b*c^(1
/2)*d^6*e^2 + 24*a^(1/2)*b^4*c^(11/2)*d*f^2 + 32*a^(7/2)*b*c^(5/2)*d^4*f^2 - 48*a^(1/2)*b^4*c^(9/2)*d^2*e*f -
32*a^(3/2)*b^3*c^(7/2)*d^3*e*f + 144*a^(5/2)*b^2*c^(5/2)*d^4*e*f - 64*a^(7/2)*b*c^(3/2)*d^5*e*f))/(d^11*e^6*((
c + d*x)^(1/2) - c^(1/2))) + (2048*((a + b*x)^(1/2) - a^(1/2))^2*(64*a^4*d^7*e^2 + 36*b^4*c^6*d*f^2 + 64*a^4*c
^2*d^5*f^2 + 36*b^4*c^4*d^3*e^2 - 128*a^4*c*d^6*e*f + 132*a^2*b^2*c^2*d^5*e^2 + 132*a^2*b^2*c^4*d^3*f^2 - 160*
a^3*b*c*d^6*e^2 - 72*b^4*c^5*d^2*e*f - 72*a*b^3*c^3*d^4*e^2 - 72*a*b^3*c^5*d^2*f^2 - 160*a^3*b*c^3*d^4*f^2 - 2
64*a^2*b^2*c^3*d^4*e*f + 144*a*b^3*c^4*d^3*e*f + 320*a^3*b*c^2*d^5*e*f))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))
^2)))*(c*f - d*e)*2i)/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2))

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

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

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