3.2299 \(\int \frac {\sqrt {a+b x}}{\sqrt {c+d x} (e+f x)} \, dx\)
Optimal. Leaf size=119 \[ \frac {2 \sqrt {b} \tanh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b} \sqrt {c+d x}}\right )}{\sqrt {d} f}-\frac {2 \sqrt {b e-a f} \tanh ^{-1}\left (\frac {\sqrt {a+b x} \sqrt {d e-c f}}{\sqrt {c+d x} \sqrt {b e-a f}}\right )}{f \sqrt {d e-c f}} \]
[Out]
2*arctanh(d^(1/2)*(b*x+a)^(1/2)/b^(1/2)/(d*x+c)^(1/2))*b^(1/2)/f/d^(1/2)-2*arctanh((-c*f+d*e)^(1/2)*(b*x+a)^(1
/2)/(-a*f+b*e)^(1/2)/(d*x+c)^(1/2))*(-a*f+b*e)^(1/2)/f/(-c*f+d*e)^(1/2)
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Rubi [A] time = 0.12, 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} \[ \frac {2 \sqrt {b} \tanh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b} \sqrt {c+d x}}\right )}{\sqrt {d} f}-\frac {2 \sqrt {b e-a f} \tanh ^{-1}\left (\frac {\sqrt {a+b x} \sqrt {d e-c f}}{\sqrt {c+d x} \sqrt {b e-a f}}\right )}{f \sqrt {d e-c f}} \]
Antiderivative was successfully verified.
[In]
Int[Sqrt[a + b*x]/(Sqrt[c + d*x]*(e + f*x)),x]
[Out]
(2*Sqrt[b]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[d]*f) - (2*Sqrt[b*e - a*f]*ArcTanh[
(Sqrt[d*e - c*f]*Sqrt[a + b*x])/(Sqrt[b*e - a*f]*Sqrt[c + d*x])])/(f*Sqrt[d*e - c*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 {a+b x}}{\sqrt {c+d x} (e+f x)} \, dx &=\frac {b \int \frac {1}{\sqrt {a+b x} \sqrt {c+d x}} \, dx}{f}-\frac {(b e-a f) \int \frac {1}{\sqrt {a+b x} \sqrt {c+d x} (e+f x)} \, dx}{f}\\ &=\frac {2 \operatorname {Subst}\left (\int \frac {1}{\sqrt {c-\frac {a d}{b}+\frac {d x^2}{b}}} \, dx,x,\sqrt {a+b x}\right )}{f}-\frac {(2 (b e-a 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 {b e-a 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 {d e-c f}}+\frac {2 \operatorname {Subst}\left (\int \frac {1}{1-\frac {d x^2}{b}} \, dx,x,\frac {\sqrt {a+b x}}{\sqrt {c+d x}}\right )}{f}\\ &=\frac {2 \sqrt {b} \tanh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b} \sqrt {c+d x}}\right )}{\sqrt {d} f}-\frac {2 \sqrt {b e-a 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 {d e-c f}}\\ \end {align*}
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Mathematica [A] time = 0.28, size = 152, normalized size = 1.28 \[ \frac {2 \left (\frac {\sqrt {b c-a d} \sqrt {\frac {b (c+d x)}{b c-a d}} \sinh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b c-a d}}\right )}{\sqrt {d} \sqrt {c+d x}}-\frac {\sqrt {b e-a f} \tanh ^{-1}\left (\frac {\sqrt {a+b x} \sqrt {d e-c f}}{\sqrt {c+d x} \sqrt {b e-a f}}\right )}{\sqrt {d e-c f}}\right )}{f} \]
Antiderivative was successfully verified.
[In]
Integrate[Sqrt[a + b*x]/(Sqrt[c + d*x]*(e + f*x)),x]
[Out]
(2*((Sqrt[b*c - a*d]*Sqrt[(b*(c + d*x))/(b*c - a*d)]*ArcSinh[(Sqrt[d]*Sqrt[a + b*x])/Sqrt[b*c - a*d]])/(Sqrt[d
]*Sqrt[c + d*x]) - (Sqrt[b*e - a*f]*ArcTanh[(Sqrt[d*e - c*f]*Sqrt[a + b*x])/(Sqrt[b*e - a*f]*Sqrt[c + d*x])])/
Sqrt[d*e - c*f]))/f
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fricas [B] time = 16.00, size = 1358, normalized size = 11.41 \[ \text {result too large to display} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((b*x+a)^(1/2)/(f*x+e)/(d*x+c)^(1/2),x, algorithm="fricas")
[Out]
[1/2*(sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a
)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^2)*x) + sqrt((b*e - a*f)/(d*e - c*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*c^2*f^2 + (b*c*d + a*d^2)*e^2 - (b*c^2 + 3*a*c*d)*e*f + (2*b*d^
2*e^2 - (3*b*c*d + a*d^2)*e*f + (b*c^2 + a*c*d)*f^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt((b*e - a*f)/(d*e - c*
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(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)
*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)) - sqrt((b*e - a*f)/(d*e - c*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*c^2*f^2 + (b*c*d + a*d^2)*e^2 - (b*c^2 + 3*a*c*d)*e*f + (2*b*d^
2*e^2 - (3*b*c*d + a*d^2)*e*f + (b*c^2 + a*c*d)*f^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt((b*e - a*f)/(d*e - c*
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(-(b*e - a*f)/(d*e - c*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(-(b*e - a*f)/(d*e - c*f))/(a*b*c*e - a^2*c*f + (b^
2*d*e - a*b*d*f)*x^2 + ((b^2*c + a*b*d)*e - (a*b*c + a^2*d)*f)*x)) + sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6
*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^
2)*x))/f, (sqrt(-(b*e - a*f)/(d*e - c*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(-(b*e - a*f)/(d*e - c*f))/(a*b*c*e - a^2*c*f + (b^2*d*e - a*b*d*f)*x^2 + ((b^
2*c + a*b*d)*e - (a*b*c + a^2*d)*f)*x)) - sqrt(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x +
c)*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)))/f]
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giac [F(-2)] time = 0.00, size = 0, normalized size = 0.00 \[ \text {Exception raised: TypeError} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((b*x+a)^(1/2)/(f*x+e)/(d*x+c)^(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 = 0.05, size = 300, normalized size = 2.52 \[ \frac {\left (-\sqrt {b d}\, a f \ln \left (\frac {a d f x +b c f x -2 b d e x +2 a c f -a d e -b c e +2 \sqrt {\left (b x +a \right ) \left (d x +c \right )}\, \sqrt {\frac {\left (c f -d e \right ) \left (a f -b e \right )}{f^{2}}}\, f}{f x +e}\right )+\sqrt {b d}\, b e \ln \left (\frac {a d f x +b c f x -2 b d e x +2 a c f -a d e -b c e +2 \sqrt {\left (b x +a \right ) \left (d x +c \right )}\, \sqrt {\frac {\left (c f -d e \right ) \left (a f -b e \right )}{f^{2}}}\, f}{f x +e}\right )+\sqrt {\frac {\left (c f -d e \right ) \left (a f -b e \right )}{f^{2}}}\, b f \ln \left (\frac {2 b d x +a d +b c +2 \sqrt {\left (b x +a \right ) \left (d x +c \right )}\, \sqrt {b d}}{2 \sqrt {b d}}\right )\right ) \sqrt {d x +c}\, \sqrt {b x +a}}{\sqrt {\frac {\left (c f -d e \right ) \left (a f -b e \right )}{f^{2}}}\, \sqrt {b d}\, \sqrt {\left (b x +a \right ) \left (d x +c \right )}\, f^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
int((b*x+a)^(1/2)/(f*x+e)/(d*x+c)^(1/2),x)
[Out]
(-ln((a*d*f*x+b*c*f*x-2*b*d*e*x+2*((b*x+a)*(d*x+c))^(1/2)*((c*f-d*e)*(a*f-b*e)/f^2)^(1/2)*f+2*a*c*f-a*d*e-b*c*
e)/(f*x+e))*a*f*(b*d)^(1/2)+ln((a*d*f*x+b*c*f*x-2*b*d*e*x+2*((b*x+a)*(d*x+c))^(1/2)*((c*f-d*e)*(a*f-b*e)/f^2)^
(1/2)*f+2*a*c*f-a*d*e-b*c*e)/(f*x+e))*b*e*(b*d)^(1/2)+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))*b*f*((c*f-d*e)*(a*f-b*e)/f^2)^(1/2))*(d*x+c)^(1/2)*(b*x+a)^(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 \[ \text {Exception raised: ValueError} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((b*x+a)^(1/2)/(f*x+e)/(d*x+c)^(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 = 110.20, size = 39073, normalized size = 328.34 \[ \text {result too large to display} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
int((a + b*x)^(1/2)/((e + f*x)*(c + d*x)^(1/2)),x)
[Out]
(b^(1/2)*atan(((b^(1/2)*((65536*(16*a^(5/2)*b^10*c^(11/2)*f^4 + 24*a^(1/2)*b^12*c^(7/2)*d^2*e^4 - 24*a^(3/2)*b
^11*c^(5/2)*d^3*e^4 - 24*a^(5/2)*b^10*c^(3/2)*d^4*e^4 + 24*a^(7/2)*b^9*c^(1/2)*d^5*e^4 + 24*a^(9/2)*b^8*c^(7/2
)*d^2*f^4 + 8*a^(11/2)*b^7*c^(5/2)*d^3*f^4 - 40*a^(13/2)*b^6*c^(3/2)*d^4*f^4 + 24*a^(15/2)*b^5*c^(1/2)*d^5*f^4
+ 16*a^(1/2)*b^12*c^(11/2)*e^2*f^2 - 32*a^(7/2)*b^9*c^(9/2)*d*f^4 - 32*a^(3/2)*b^11*c^(11/2)*e*f^3 - 44*a^(1/
2)*b^12*c^(9/2)*d*e^3*f + 20*a^(5/2)*b^10*c^(9/2)*d*e*f^3 + 48*a^(3/2)*b^11*c^(7/2)*d^2*e^3*f - 72*a^(5/2)*b^1
0*c^(5/2)*d^3*e^3*f + 176*a^(7/2)*b^9*c^(3/2)*d^4*e^3*f - 108*a^(9/2)*b^8*c^(1/2)*d^5*e^3*f + 56*a^(3/2)*b^11*
c^(9/2)*d*e^2*f^2 + 48*a^(7/2)*b^9*c^(7/2)*d^2*e*f^3 - 136*a^(9/2)*b^8*c^(5/2)*d^3*e*f^3 + 208*a^(11/2)*b^7*c^
(3/2)*d^4*e*f^3 - 108*a^(13/2)*b^6*c^(1/2)*d^5*e*f^3 - 144*a^(5/2)*b^10*c^(7/2)*d^2*e^2*f^2 + 224*a^(7/2)*b^9*
c^(5/2)*d^3*e^2*f^2 - 320*a^(9/2)*b^8*c^(3/2)*d^4*e^2*f^2 + 168*a^(11/2)*b^7*c^(1/2)*d^5*e^2*f^2))/(d^18*e^8)
+ (2*b^(1/2)*((2*b^(1/2)*((65536*(44*a^(11/2)*b^6*c^(5/2)*d^4*f^6 - 24*a^(7/2)*b^8*c^(9/2)*d^2*f^6 - 4*a^(9/2)
*b^7*c^(7/2)*d^3*f^6 - 16*a^(3/2)*b^10*c^(13/2)*f^6 - 24*a^(13/2)*b^5*c^(3/2)*d^5*f^6 - 4*a^(15/2)*b^4*c^(1/2)
*d^6*f^6 + 28*a^(5/2)*b^9*c^(11/2)*d*f^6 + 16*a^(1/2)*b^11*c^(13/2)*e*f^5 + 36*a^(3/2)*b^10*c^(11/2)*d*e*f^5 -
64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^4 - 85*a^(5/2)*b^9*c^(9/2)*d^2*e*f^5 + 116*a^(7/2)*b^8*c^(7/2)*d^3*e*f^5 - 1
50*a^(9/2)*b^7*c^(5/2)*d^4*e*f^5 + 16*a^(11/2)*b^6*c^(3/2)*d^5*e*f^5 + 51*a^(13/2)*b^5*c^(1/2)*d^6*e*f^5 - 36*
a^(1/2)*b^11*c^(7/2)*d^3*e^4*f^2 + 36*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f^2 + 36*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f^2 -
36*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f^2 + 87*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^3 - 100*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^
3 + 66*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^3 - 180*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^3 + 127*a^(9/2)*b^7*c^(1/2)*d^6*e^3
*f^3 + 22*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^4 + 24*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^4 + 4*a^(7/2)*b^8*c^(5/2)*d^4*e^
2*f^4 + 152*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^4 - 138*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^4))/(d^18*e^8) + (2*b^(1/2)*(
(65536*(24*a^3*b^8*c^5*d^2*f^7 - 44*a^4*b^7*c^4*d^3*f^7 + 12*a^5*b^6*c^3*d^4*f^7 + 12*a^6*b^5*c^2*d^5*f^7 + 3*
a^4*b^7*d^7*e^4*f^3 - 2*a^5*b^6*d^7*e^3*f^4 - 5*a^6*b^5*d^7*e^2*f^5 + 3*b^11*c^4*d^3*e^4*f^3 - 3*b^11*c^5*d^2*
e^3*f^4 - 4*a^7*b^4*c*d^6*f^7 + 4*a^7*b^4*d^7*e*f^6 - 7*a^6*b^5*c*d^6*e*f^6 + 12*a*b^10*c^3*d^4*e^4*f^3 - 42*a
*b^10*c^4*d^3*e^3*f^4 + 30*a*b^10*c^5*d^2*e^2*f^5 - 51*a^2*b^9*c^5*d^2*e*f^6 + 12*a^3*b^8*c*d^6*e^4*f^3 + 52*a
^3*b^8*c^4*d^3*e*f^6 - 39*a^4*b^7*c*d^6*e^3*f^4 + 50*a^4*b^7*c^3*d^4*e*f^6 + 38*a^5*b^6*c*d^6*e^2*f^5 - 48*a^5
*b^6*c^2*d^5*e*f^6 - 30*a^2*b^9*c^2*d^5*e^4*f^3 + 50*a^2*b^9*c^3*d^4*e^3*f^4 + 31*a^2*b^9*c^4*d^3*e^2*f^5 + 36
*a^3*b^8*c^2*d^5*e^3*f^4 - 124*a^3*b^8*c^3*d^4*e^2*f^5 + 30*a^4*b^7*c^2*d^5*e^2*f^5))/(d^18*e^8) - (2*b^(1/2)*
((65536*(4*a^(7/2)*b^7*c^(9/2)*d^3*f^8 + 4*a^(9/2)*b^6*c^(7/2)*d^4*f^8 - 4*a^(13/2)*b^4*c^(3/2)*d^6*f^8 - 4*a^
(3/2)*b^9*c^(13/2)*d*f^8 + 4*a^(1/2)*b^10*c^(13/2)*d*e*f^7 + 23*a^(3/2)*b^9*c^(11/2)*d^2*e*f^7 - 32*a^(5/2)*b^
8*c^(9/2)*d^3*e*f^7 + 10*a^(7/2)*b^7*c^(7/2)*d^4*e*f^7 - 32*a^(9/2)*b^6*c^(5/2)*d^5*e*f^7 + 23*a^(11/2)*b^5*c^
(3/2)*d^6*e*f^7 + 4*a^(13/2)*b^4*c^(1/2)*d^7*e*f^7 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^4 + 12*a^(3/2)*b^9*c^(5
/2)*d^5*e^4*f^4 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^4 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^4 + 31*a^(1/2)*b^10*c^
(9/2)*d^3*e^3*f^5 - 28*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^5 - 6*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^5 - 28*a^(7/2)*b^7*c^
(3/2)*d^6*e^3*f^5 + 31*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^5 - 23*a^(1/2)*b^10*c^(11/2)*d^2*e^2*f^6 - 3*a^(3/2)*b^9*
c^(9/2)*d^3*e^2*f^6 + 26*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^6 + 26*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^6 - 3*a^(9/2)*b^6*
c^(3/2)*d^6*e^2*f^6 - 23*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^6))/(d^18*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(7
2*a^3*b^7*c^5*d^3*f^8 - 30*a^2*b^8*c^6*d^2*f^8 - 100*a^4*b^6*c^4*d^4*f^8 + 72*a^5*b^5*c^3*d^5*f^8 - 30*a^6*b^4
*c^2*d^6*f^8 + 3*a^4*b^6*d^8*e^4*f^4 - 13*a^5*b^5*d^8*e^3*f^5 + 18*a^6*b^4*d^8*e^2*f^6 + 3*b^10*c^4*d^4*e^4*f^
4 - 13*b^10*c^5*d^3*e^3*f^5 + 18*b^10*c^6*d^2*e^2*f^6 + 8*a*b^9*c^7*d*f^8 - 8*b^10*c^7*d*e*f^7 + 8*a^7*b^3*c*d
^7*f^8 - 8*a^7*b^3*d^8*e*f^7 + 12*a*b^9*c^6*d^2*e*f^7 + 12*a^6*b^4*c*d^7*e*f^7 + 12*a*b^9*c^3*d^5*e^4*f^4 - 9*
a*b^9*c^4*d^4*e^3*f^5 - 23*a*b^9*c^5*d^3*e^2*f^6 - 36*a^2*b^8*c^5*d^3*e*f^7 + 12*a^3*b^7*c*d^7*e^4*f^4 + 32*a^
3*b^7*c^4*d^4*e*f^7 - 9*a^4*b^6*c*d^7*e^3*f^5 + 32*a^4*b^6*c^3*d^5*e*f^7 - 23*a^5*b^5*c*d^7*e^2*f^6 - 36*a^5*b
^5*c^2*d^6*e*f^7 - 30*a^2*b^8*c^2*d^6*e^4*f^4 + 22*a^2*b^8*c^3*d^5*e^3*f^5 + 74*a^2*b^8*c^4*d^4*e^2*f^6 + 22*a
^3*b^7*c^2*d^6*e^3*f^5 - 138*a^3*b^7*c^3*d^5*e^2*f^6 + 74*a^4*b^6*c^2*d^6*e^2*f^6))/(d^18*e^8*((c + d*x)^(1/2)
- c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(9/2)*b^6*c^(7/2)*d^4*f^7 - 40*a^(7/2)*b
^7*c^(9/2)*d^3*f^7 - 72*a^(11/2)*b^5*c^(5/2)*d^5*f^7 + 16*a^(13/2)*b^4*c^(3/2)*d^6*f^7 + 92*a^(5/2)*b^8*c^(9/2
)*d^3*e*f^6 - 164*a^(7/2)*b^7*c^(7/2)*d^4*e*f^6 + 36*a^(9/2)*b^6*c^(5/2)*d^5*e*f^6 + 52*a^(11/2)*b^5*c^(3/2)*d
^6*e*f^6 - 16*a^(13/2)*b^4*c^(1/2)*d^7*e*f^6 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^9*c^(5/2)*d^
5*e^4*f^3 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^3 + 12*a^(1/2)*b^10*c^(9/2)*
d^3*e^3*f^4 + 52*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^4 + 60*a^(7/2)*b^7*c^(3/2
)*d^6*e^3*f^4 + 8*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^4 - 64*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^5 + 28*a^(5/2)*b^8*c^(7/2
)*d^4*e^2*f^5 + 156*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^5 - 140*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^5 + 20*a^(11/2)*b^5*c^
(1/2)*d^7*e^2*f^5))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*
(32*a*b^10*c^7*f^6 - 32*b^11*c^7*e*f^5 + 8*a^8*b^3*d^7*f^6 + 228*a^3*b^8*c^5*d^2*f^6 - 240*a^4*b^7*c^4*d^3*f^6
+ 136*a^5*b^6*c^3*d^4*f^6 - 48*a^6*b^5*c^2*d^5*f^6 + 9*a^4*b^7*d^7*e^4*f^2 - 58*a^5*b^6*d^7*e^3*f^3 + 101*a^6
*b^5*d^7*e^2*f^4 + 9*b^11*c^4*d^3*e^4*f^2 - 48*b^11*c^5*d^2*e^3*f^3 - 120*a^2*b^9*c^6*d*f^6 + 4*a^7*b^4*c*d^6*
f^6 - 60*a^7*b^4*d^7*e*f^5 + 72*b^11*c^6*d*e^2*f^4 + 116*a^6*b^5*c*d^6*e*f^5 + 36*a*b^10*c^3*d^4*e^4*f^2 + 30*
a*b^10*c^4*d^3*e^3*f^3 - 160*a*b^10*c^5*d^2*e^2*f^4 - 20*a^2*b^9*c^5*d^2*e*f^5 + 36*a^3*b^8*c*d^6*e^4*f^2 - 13
2*a^3*b^8*c^4*d^3*e*f^5 + 288*a^4*b^7*c^3*d^4*e*f^5 - 156*a^5*b^6*c*d^6*e^2*f^4 - 208*a^5*b^6*c^2*d^5*e*f^5 +
48*a*b^10*c^6*d*e*f^5 - 90*a^2*b^9*c^2*d^5*e^4*f^2 - 32*a^2*b^9*c^3*d^4*e^3*f^3 + 333*a^2*b^9*c^4*d^3*e^2*f^4
+ 108*a^3*b^8*c^2*d^5*e^3*f^3 - 428*a^3*b^8*c^3*d^4*e^2*f^4 + 238*a^4*b^7*c^2*d^5*e^2*f^4))/(d^18*e^8*((c + d*
x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*(24*a^4*b^8*c^4*d^2*f^5 - 4*a^8*b^4*d^6*f^5 - 16*b^12*c^6*e^2*f^3
- 16*a^2*b^10*c^6*f^5 - 100*a^5*b^7*c^3*d^3*f^5 + 60*a^6*b^6*c^2*d^4*f^5 + 7*a^5*b^7*d^6*e^3*f^2 - 27*a^6*b^6*
d^6*e^2*f^3 + 32*a*b^11*c^6*e*f^4 + 36*a^3*b^9*c^5*d*f^5 + 3*a^4*b^8*d^6*e^4*f + 21*a^7*b^5*d^6*e*f^4 + 3*b^12
*c^4*d^2*e^4*f + 16*b^12*c^5*d*e^3*f^2 + 12*a*b^11*c^3*d^3*e^4*f + 4*a*b^11*c^5*d*e^2*f^3 - 56*a^2*b^10*c^5*d*
e*f^4 + 12*a^3*b^9*c*d^5*e^4*f - 72*a^6*b^6*c*d^5*e*f^4 - 69*a*b^11*c^4*d^2*e^3*f^2 - 30*a^2*b^10*c^2*d^4*e^4*
f - 111*a^3*b^9*c^4*d^2*e*f^4 - 96*a^4*b^8*c*d^5*e^3*f^2 + 232*a^4*b^8*c^3*d^3*e*f^4 + 156*a^5*b^7*c*d^5*e^2*f
^3 - 46*a^5*b^7*c^2*d^4*e*f^4 + 8*a^2*b^10*c^3*d^3*e^3*f^2 + 153*a^2*b^10*c^4*d^2*e^2*f^3 + 134*a^3*b^9*c^2*d^
4*e^3*f^2 - 152*a^3*b^9*c^3*d^3*e^2*f^3 - 118*a^4*b^8*c^2*d^4*e^2*f^3))/(d^18*e^8) + (65536*((a + b*x)^(1/2) -
a^(1/2))*(240*a^(7/2)*b^8*c^(9/2)*d^2*f^5 - 296*a^(9/2)*b^7*c^(7/2)*d^3*f^5 + 112*a^(11/2)*b^6*c^(5/2)*d^4*f^
5 + 24*a^(13/2)*b^5*c^(3/2)*d^5*f^5 - 16*a^(15/2)*b^4*c^(1/2)*d^6*f^5 - 64*a^(5/2)*b^9*c^(11/2)*d*f^5 + 128*a^
(3/2)*b^10*c^(11/2)*d*e*f^4 + 12*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f - 12*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f - 12*a^(5/
2)*b^9*c^(3/2)*d^5*e^4*f + 12*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^3 - 416*a^(5/2)
*b^9*c^(9/2)*d^2*e*f^4 + 300*a^(7/2)*b^8*c^(7/2)*d^3*e*f^4 + 220*a^(9/2)*b^7*c^(5/2)*d^4*e*f^4 - 316*a^(11/2)*
b^6*c^(3/2)*d^5*e*f^4 + 84*a^(13/2)*b^5*c^(1/2)*d^6*e*f^4 + 64*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^2 - 316*a^(3/2)*
b^10*c^(7/2)*d^3*e^3*f^2 + 468*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^2 - 244*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^2 + 28*a^(9
/2)*b^7*c^(1/2)*d^6*e^3*f^2 + 112*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^3 + 300*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^3 - 788
*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^3 + 548*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^3 - 108*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^3)
)/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a^2*b^10*c^6*f
^4 + 6*a^4*b^8*d^6*e^4 + 34*a^8*b^4*d^6*f^4 + 6*b^12*c^4*d^2*e^4 + 32*b^12*c^6*e^2*f^2 - 60*a^2*b^10*c^2*d^4*e
^4 + 258*a^4*b^8*c^4*d^2*f^4 - 312*a^5*b^7*c^3*d^3*f^4 + 236*a^6*b^6*c^2*d^4*f^4 + 112*a^6*b^6*d^6*e^2*f^2 - 6
4*a*b^11*c^6*e*f^3 - 32*b^12*c^5*d*e^3*f + 24*a*b^11*c^3*d^3*e^4 + 24*a^3*b^9*c*d^5*e^4 - 128*a^3*b^9*c^5*d*f^
4 - 120*a^7*b^5*c*d^5*f^4 - 48*a^5*b^7*d^6*e^3*f - 104*a^7*b^5*d^6*e*f^3 + 48*a*b^11*c^4*d^2*e^3*f - 64*a*b^11
*c^5*d*e^2*f^2 + 224*a^2*b^10*c^5*d*e*f^3 + 288*a^6*b^6*c*d^5*e*f^3 - 96*a^2*b^10*c^3*d^3*e^3*f + 128*a^3*b^9*
c^2*d^4*e^3*f - 456*a^3*b^9*c^4*d^2*e*f^3 + 576*a^4*b^8*c^3*d^3*e*f^3 - 192*a^5*b^7*c*d^5*e^2*f^2 - 464*a^5*b^
7*c^2*d^4*e*f^3 + 144*a^2*b^10*c^4*d^2*e^2*f^2 - 192*a^3*b^9*c^3*d^3*e^2*f^2 + 160*a^4*b^8*c^2*d^4*e^2*f^2))/(
d^18*e^8*((c + d*x)^(1/2) - c^(1/2))))*2i)/(d^(1/2)*f) + (b^(1/2)*((65536*(16*a^(5/2)*b^10*c^(11/2)*f^4 + 24*a
^(1/2)*b^12*c^(7/2)*d^2*e^4 - 24*a^(3/2)*b^11*c^(5/2)*d^3*e^4 - 24*a^(5/2)*b^10*c^(3/2)*d^4*e^4 + 24*a^(7/2)*b
^9*c^(1/2)*d^5*e^4 + 24*a^(9/2)*b^8*c^(7/2)*d^2*f^4 + 8*a^(11/2)*b^7*c^(5/2)*d^3*f^4 - 40*a^(13/2)*b^6*c^(3/2)
*d^4*f^4 + 24*a^(15/2)*b^5*c^(1/2)*d^5*f^4 + 16*a^(1/2)*b^12*c^(11/2)*e^2*f^2 - 32*a^(7/2)*b^9*c^(9/2)*d*f^4 -
32*a^(3/2)*b^11*c^(11/2)*e*f^3 - 44*a^(1/2)*b^12*c^(9/2)*d*e^3*f + 20*a^(5/2)*b^10*c^(9/2)*d*e*f^3 + 48*a^(3/
2)*b^11*c^(7/2)*d^2*e^3*f - 72*a^(5/2)*b^10*c^(5/2)*d^3*e^3*f + 176*a^(7/2)*b^9*c^(3/2)*d^4*e^3*f - 108*a^(9/2
)*b^8*c^(1/2)*d^5*e^3*f + 56*a^(3/2)*b^11*c^(9/2)*d*e^2*f^2 + 48*a^(7/2)*b^9*c^(7/2)*d^2*e*f^3 - 136*a^(9/2)*b
^8*c^(5/2)*d^3*e*f^3 + 208*a^(11/2)*b^7*c^(3/2)*d^4*e*f^3 - 108*a^(13/2)*b^6*c^(1/2)*d^5*e*f^3 - 144*a^(5/2)*b
^10*c^(7/2)*d^2*e^2*f^2 + 224*a^(7/2)*b^9*c^(5/2)*d^3*e^2*f^2 - 320*a^(9/2)*b^8*c^(3/2)*d^4*e^2*f^2 + 168*a^(1
1/2)*b^7*c^(1/2)*d^5*e^2*f^2))/(d^18*e^8) + (2*b^(1/2)*((65536*(24*a^4*b^8*c^4*d^2*f^5 - 4*a^8*b^4*d^6*f^5 - 1
6*b^12*c^6*e^2*f^3 - 16*a^2*b^10*c^6*f^5 - 100*a^5*b^7*c^3*d^3*f^5 + 60*a^6*b^6*c^2*d^4*f^5 + 7*a^5*b^7*d^6*e^
3*f^2 - 27*a^6*b^6*d^6*e^2*f^3 + 32*a*b^11*c^6*e*f^4 + 36*a^3*b^9*c^5*d*f^5 + 3*a^4*b^8*d^6*e^4*f + 21*a^7*b^5
*d^6*e*f^4 + 3*b^12*c^4*d^2*e^4*f + 16*b^12*c^5*d*e^3*f^2 + 12*a*b^11*c^3*d^3*e^4*f + 4*a*b^11*c^5*d*e^2*f^3 -
56*a^2*b^10*c^5*d*e*f^4 + 12*a^3*b^9*c*d^5*e^4*f - 72*a^6*b^6*c*d^5*e*f^4 - 69*a*b^11*c^4*d^2*e^3*f^2 - 30*a^
2*b^10*c^2*d^4*e^4*f - 111*a^3*b^9*c^4*d^2*e*f^4 - 96*a^4*b^8*c*d^5*e^3*f^2 + 232*a^4*b^8*c^3*d^3*e*f^4 + 156*
a^5*b^7*c*d^5*e^2*f^3 - 46*a^5*b^7*c^2*d^4*e*f^4 + 8*a^2*b^10*c^3*d^3*e^3*f^2 + 153*a^2*b^10*c^4*d^2*e^2*f^3 +
134*a^3*b^9*c^2*d^4*e^3*f^2 - 152*a^3*b^9*c^3*d^3*e^2*f^3 - 118*a^4*b^8*c^2*d^4*e^2*f^3))/(d^18*e^8) + (2*b^(
1/2)*((65536*(44*a^(11/2)*b^6*c^(5/2)*d^4*f^6 - 24*a^(7/2)*b^8*c^(9/2)*d^2*f^6 - 4*a^(9/2)*b^7*c^(7/2)*d^3*f^6
- 16*a^(3/2)*b^10*c^(13/2)*f^6 - 24*a^(13/2)*b^5*c^(3/2)*d^5*f^6 - 4*a^(15/2)*b^4*c^(1/2)*d^6*f^6 + 28*a^(5/2
)*b^9*c^(11/2)*d*f^6 + 16*a^(1/2)*b^11*c^(13/2)*e*f^5 + 36*a^(3/2)*b^10*c^(11/2)*d*e*f^5 - 64*a^(1/2)*b^11*c^(
11/2)*d*e^2*f^4 - 85*a^(5/2)*b^9*c^(9/2)*d^2*e*f^5 + 116*a^(7/2)*b^8*c^(7/2)*d^3*e*f^5 - 150*a^(9/2)*b^7*c^(5/
2)*d^4*e*f^5 + 16*a^(11/2)*b^6*c^(3/2)*d^5*e*f^5 + 51*a^(13/2)*b^5*c^(1/2)*d^6*e*f^5 - 36*a^(1/2)*b^11*c^(7/2)
*d^3*e^4*f^2 + 36*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f^2 + 36*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f^2 - 36*a^(7/2)*b^8*c^(1/
2)*d^6*e^4*f^2 + 87*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^3 - 100*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^3 + 66*a^(5/2)*b^9*c
^(5/2)*d^4*e^3*f^3 - 180*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^3 + 127*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^3 + 22*a^(3/2)*b^
10*c^(9/2)*d^2*e^2*f^4 + 24*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^4 + 4*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^4 + 152*a^(9/2)*
b^7*c^(3/2)*d^5*e^2*f^4 - 138*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^4))/(d^18*e^8) - (2*b^(1/2)*((65536*(24*a^3*b^8*c
^5*d^2*f^7 - 44*a^4*b^7*c^4*d^3*f^7 + 12*a^5*b^6*c^3*d^4*f^7 + 12*a^6*b^5*c^2*d^5*f^7 + 3*a^4*b^7*d^7*e^4*f^3
- 2*a^5*b^6*d^7*e^3*f^4 - 5*a^6*b^5*d^7*e^2*f^5 + 3*b^11*c^4*d^3*e^4*f^3 - 3*b^11*c^5*d^2*e^3*f^4 - 4*a^7*b^4*
c*d^6*f^7 + 4*a^7*b^4*d^7*e*f^6 - 7*a^6*b^5*c*d^6*e*f^6 + 12*a*b^10*c^3*d^4*e^4*f^3 - 42*a*b^10*c^4*d^3*e^3*f^
4 + 30*a*b^10*c^5*d^2*e^2*f^5 - 51*a^2*b^9*c^5*d^2*e*f^6 + 12*a^3*b^8*c*d^6*e^4*f^3 + 52*a^3*b^8*c^4*d^3*e*f^6
- 39*a^4*b^7*c*d^6*e^3*f^4 + 50*a^4*b^7*c^3*d^4*e*f^6 + 38*a^5*b^6*c*d^6*e^2*f^5 - 48*a^5*b^6*c^2*d^5*e*f^6 -
30*a^2*b^9*c^2*d^5*e^4*f^3 + 50*a^2*b^9*c^3*d^4*e^3*f^4 + 31*a^2*b^9*c^4*d^3*e^2*f^5 + 36*a^3*b^8*c^2*d^5*e^3
*f^4 - 124*a^3*b^8*c^3*d^4*e^2*f^5 + 30*a^4*b^7*c^2*d^5*e^2*f^5))/(d^18*e^8) + (2*b^(1/2)*((65536*(4*a^(7/2)*b
^7*c^(9/2)*d^3*f^8 + 4*a^(9/2)*b^6*c^(7/2)*d^4*f^8 - 4*a^(13/2)*b^4*c^(3/2)*d^6*f^8 - 4*a^(3/2)*b^9*c^(13/2)*d
*f^8 + 4*a^(1/2)*b^10*c^(13/2)*d*e*f^7 + 23*a^(3/2)*b^9*c^(11/2)*d^2*e*f^7 - 32*a^(5/2)*b^8*c^(9/2)*d^3*e*f^7
+ 10*a^(7/2)*b^7*c^(7/2)*d^4*e*f^7 - 32*a^(9/2)*b^6*c^(5/2)*d^5*e*f^7 + 23*a^(11/2)*b^5*c^(3/2)*d^6*e*f^7 + 4*
a^(13/2)*b^4*c^(1/2)*d^7*e*f^7 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^4 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^4 + 12
*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^4 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^4 + 31*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^5 -
28*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^5 - 6*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^5 - 28*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^5 +
31*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^5 - 23*a^(1/2)*b^10*c^(11/2)*d^2*e^2*f^6 - 3*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^6
+ 26*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^6 + 26*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^6 - 3*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^6
- 23*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^6))/(d^18*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(72*a^3*b^7*c^5*d^3*f^
8 - 30*a^2*b^8*c^6*d^2*f^8 - 100*a^4*b^6*c^4*d^4*f^8 + 72*a^5*b^5*c^3*d^5*f^8 - 30*a^6*b^4*c^2*d^6*f^8 + 3*a^4
*b^6*d^8*e^4*f^4 - 13*a^5*b^5*d^8*e^3*f^5 + 18*a^6*b^4*d^8*e^2*f^6 + 3*b^10*c^4*d^4*e^4*f^4 - 13*b^10*c^5*d^3*
e^3*f^5 + 18*b^10*c^6*d^2*e^2*f^6 + 8*a*b^9*c^7*d*f^8 - 8*b^10*c^7*d*e*f^7 + 8*a^7*b^3*c*d^7*f^8 - 8*a^7*b^3*d
^8*e*f^7 + 12*a*b^9*c^6*d^2*e*f^7 + 12*a^6*b^4*c*d^7*e*f^7 + 12*a*b^9*c^3*d^5*e^4*f^4 - 9*a*b^9*c^4*d^4*e^3*f^
5 - 23*a*b^9*c^5*d^3*e^2*f^6 - 36*a^2*b^8*c^5*d^3*e*f^7 + 12*a^3*b^7*c*d^7*e^4*f^4 + 32*a^3*b^7*c^4*d^4*e*f^7
- 9*a^4*b^6*c*d^7*e^3*f^5 + 32*a^4*b^6*c^3*d^5*e*f^7 - 23*a^5*b^5*c*d^7*e^2*f^6 - 36*a^5*b^5*c^2*d^6*e*f^7 - 3
0*a^2*b^8*c^2*d^6*e^4*f^4 + 22*a^2*b^8*c^3*d^5*e^3*f^5 + 74*a^2*b^8*c^4*d^4*e^2*f^6 + 22*a^3*b^7*c^2*d^6*e^3*f
^5 - 138*a^3*b^7*c^3*d^5*e^2*f^6 + 74*a^4*b^6*c^2*d^6*e^2*f^6))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1
/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(9/2)*b^6*c^(7/2)*d^4*f^7 - 40*a^(7/2)*b^7*c^(9/2)*d^3*f^7 -
72*a^(11/2)*b^5*c^(5/2)*d^5*f^7 + 16*a^(13/2)*b^4*c^(3/2)*d^6*f^7 + 92*a^(5/2)*b^8*c^(9/2)*d^3*e*f^6 - 164*a^
(7/2)*b^7*c^(7/2)*d^4*e*f^6 + 36*a^(9/2)*b^6*c^(5/2)*d^5*e*f^6 + 52*a^(11/2)*b^5*c^(3/2)*d^6*e*f^6 - 16*a^(13/
2)*b^4*c^(1/2)*d^7*e*f^6 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/
2)*b^8*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^3 + 12*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^4 + 52*a^(
3/2)*b^9*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^4 + 60*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^4 + 8*a^
(9/2)*b^6*c^(1/2)*d^7*e^3*f^4 - 64*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^5 + 28*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^5 + 156*
a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^5 - 140*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^5 + 20*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^5))/
(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a*b^10*c^7*f^6 -
32*b^11*c^7*e*f^5 + 8*a^8*b^3*d^7*f^6 + 228*a^3*b^8*c^5*d^2*f^6 - 240*a^4*b^7*c^4*d^3*f^6 + 136*a^5*b^6*c^3*d
^4*f^6 - 48*a^6*b^5*c^2*d^5*f^6 + 9*a^4*b^7*d^7*e^4*f^2 - 58*a^5*b^6*d^7*e^3*f^3 + 101*a^6*b^5*d^7*e^2*f^4 + 9
*b^11*c^4*d^3*e^4*f^2 - 48*b^11*c^5*d^2*e^3*f^3 - 120*a^2*b^9*c^6*d*f^6 + 4*a^7*b^4*c*d^6*f^6 - 60*a^7*b^4*d^7
*e*f^5 + 72*b^11*c^6*d*e^2*f^4 + 116*a^6*b^5*c*d^6*e*f^5 + 36*a*b^10*c^3*d^4*e^4*f^2 + 30*a*b^10*c^4*d^3*e^3*f
^3 - 160*a*b^10*c^5*d^2*e^2*f^4 - 20*a^2*b^9*c^5*d^2*e*f^5 + 36*a^3*b^8*c*d^6*e^4*f^2 - 132*a^3*b^8*c^4*d^3*e*
f^5 + 288*a^4*b^7*c^3*d^4*e*f^5 - 156*a^5*b^6*c*d^6*e^2*f^4 - 208*a^5*b^6*c^2*d^5*e*f^5 + 48*a*b^10*c^6*d*e*f^
5 - 90*a^2*b^9*c^2*d^5*e^4*f^2 - 32*a^2*b^9*c^3*d^4*e^3*f^3 + 333*a^2*b^9*c^4*d^3*e^2*f^4 + 108*a^3*b^8*c^2*d^
5*e^3*f^3 - 428*a^3*b^8*c^3*d^4*e^2*f^4 + 238*a^4*b^7*c^2*d^5*e^2*f^4))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))
))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(240*a^(7/2)*b^8*c^(9/2)*d^2*f^5 - 296*a^(9/2)*b^7*c^(7/2)
*d^3*f^5 + 112*a^(11/2)*b^6*c^(5/2)*d^4*f^5 + 24*a^(13/2)*b^5*c^(3/2)*d^5*f^5 - 16*a^(15/2)*b^4*c^(1/2)*d^6*f^
5 - 64*a^(5/2)*b^9*c^(11/2)*d*f^5 + 128*a^(3/2)*b^10*c^(11/2)*d*e*f^4 + 12*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f - 12
*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f - 12*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f + 12*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f - 64*a^(
1/2)*b^11*c^(11/2)*d*e^2*f^3 - 416*a^(5/2)*b^9*c^(9/2)*d^2*e*f^4 + 300*a^(7/2)*b^8*c^(7/2)*d^3*e*f^4 + 220*a^(
9/2)*b^7*c^(5/2)*d^4*e*f^4 - 316*a^(11/2)*b^6*c^(3/2)*d^5*e*f^4 + 84*a^(13/2)*b^5*c^(1/2)*d^6*e*f^4 + 64*a^(1/
2)*b^11*c^(9/2)*d^2*e^3*f^2 - 316*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^2 + 468*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^2 - 244
*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^2 + 28*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^2 + 112*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^3 +
300*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^3 - 788*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^3 + 548*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f
^3 - 108*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^3))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a
+ b*x)^(1/2) - a^(1/2))*(32*a^2*b^10*c^6*f^4 + 6*a^4*b^8*d^6*e^4 + 34*a^8*b^4*d^6*f^4 + 6*b^12*c^4*d^2*e^4 + 3
2*b^12*c^6*e^2*f^2 - 60*a^2*b^10*c^2*d^4*e^4 + 258*a^4*b^8*c^4*d^2*f^4 - 312*a^5*b^7*c^3*d^3*f^4 + 236*a^6*b^6
*c^2*d^4*f^4 + 112*a^6*b^6*d^6*e^2*f^2 - 64*a*b^11*c^6*e*f^3 - 32*b^12*c^5*d*e^3*f + 24*a*b^11*c^3*d^3*e^4 + 2
4*a^3*b^9*c*d^5*e^4 - 128*a^3*b^9*c^5*d*f^4 - 120*a^7*b^5*c*d^5*f^4 - 48*a^5*b^7*d^6*e^3*f - 104*a^7*b^5*d^6*e
*f^3 + 48*a*b^11*c^4*d^2*e^3*f - 64*a*b^11*c^5*d*e^2*f^2 + 224*a^2*b^10*c^5*d*e*f^3 + 288*a^6*b^6*c*d^5*e*f^3
- 96*a^2*b^10*c^3*d^3*e^3*f + 128*a^3*b^9*c^2*d^4*e^3*f - 456*a^3*b^9*c^4*d^2*e*f^3 + 576*a^4*b^8*c^3*d^3*e*f^
3 - 192*a^5*b^7*c*d^5*e^2*f^2 - 464*a^5*b^7*c^2*d^4*e*f^3 + 144*a^2*b^10*c^4*d^2*e^2*f^2 - 192*a^3*b^9*c^3*d^3
*e^2*f^2 + 160*a^4*b^8*c^2*d^4*e^2*f^2))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2))))*2i)/(d^(1/2)*f))/((131072*(16
*b^13*c^5*e^3 - 16*a^3*b^10*c^5*f^3 + 12*a^5*b^8*d^5*e^3 - 12*a^8*b^5*d^5*f^3 + 56*a^3*b^10*c^2*d^3*e^3 - 56*a
^6*b^7*c^2*d^3*f^3 - 36*a*b^12*c^4*d*e^3 - 48*a*b^12*c^5*e^2*f - 48*a^4*b^9*c*d^4*e^3 + 36*a^4*b^9*c^4*d*f^3 +
48*a^7*b^6*c*d^4*f^3 + 48*a^2*b^11*c^5*e*f^2 - 36*a^6*b^7*d^5*e^2*f + 36*a^7*b^6*d^5*e*f^2 + 108*a^2*b^11*c^4
*d*e^2*f - 108*a^3*b^10*c^4*d*e*f^2 + 144*a^5*b^8*c*d^4*e^2*f - 144*a^6*b^7*c*d^4*e*f^2 - 168*a^4*b^9*c^2*d^3*
e^2*f + 168*a^5*b^8*c^2*d^3*e*f^2))/(d^18*e^8) + (2*b^(1/2)*((65536*(16*a^(5/2)*b^10*c^(11/2)*f^4 + 24*a^(1/2)
*b^12*c^(7/2)*d^2*e^4 - 24*a^(3/2)*b^11*c^(5/2)*d^3*e^4 - 24*a^(5/2)*b^10*c^(3/2)*d^4*e^4 + 24*a^(7/2)*b^9*c^(
1/2)*d^5*e^4 + 24*a^(9/2)*b^8*c^(7/2)*d^2*f^4 + 8*a^(11/2)*b^7*c^(5/2)*d^3*f^4 - 40*a^(13/2)*b^6*c^(3/2)*d^4*f
^4 + 24*a^(15/2)*b^5*c^(1/2)*d^5*f^4 + 16*a^(1/2)*b^12*c^(11/2)*e^2*f^2 - 32*a^(7/2)*b^9*c^(9/2)*d*f^4 - 32*a^
(3/2)*b^11*c^(11/2)*e*f^3 - 44*a^(1/2)*b^12*c^(9/2)*d*e^3*f + 20*a^(5/2)*b^10*c^(9/2)*d*e*f^3 + 48*a^(3/2)*b^1
1*c^(7/2)*d^2*e^3*f - 72*a^(5/2)*b^10*c^(5/2)*d^3*e^3*f + 176*a^(7/2)*b^9*c^(3/2)*d^4*e^3*f - 108*a^(9/2)*b^8*
c^(1/2)*d^5*e^3*f + 56*a^(3/2)*b^11*c^(9/2)*d*e^2*f^2 + 48*a^(7/2)*b^9*c^(7/2)*d^2*e*f^3 - 136*a^(9/2)*b^8*c^(
5/2)*d^3*e*f^3 + 208*a^(11/2)*b^7*c^(3/2)*d^4*e*f^3 - 108*a^(13/2)*b^6*c^(1/2)*d^5*e*f^3 - 144*a^(5/2)*b^10*c^
(7/2)*d^2*e^2*f^2 + 224*a^(7/2)*b^9*c^(5/2)*d^3*e^2*f^2 - 320*a^(9/2)*b^8*c^(3/2)*d^4*e^2*f^2 + 168*a^(11/2)*b
^7*c^(1/2)*d^5*e^2*f^2))/(d^18*e^8) + (2*b^(1/2)*((2*b^(1/2)*((65536*(44*a^(11/2)*b^6*c^(5/2)*d^4*f^6 - 24*a^(
7/2)*b^8*c^(9/2)*d^2*f^6 - 4*a^(9/2)*b^7*c^(7/2)*d^3*f^6 - 16*a^(3/2)*b^10*c^(13/2)*f^6 - 24*a^(13/2)*b^5*c^(3
/2)*d^5*f^6 - 4*a^(15/2)*b^4*c^(1/2)*d^6*f^6 + 28*a^(5/2)*b^9*c^(11/2)*d*f^6 + 16*a^(1/2)*b^11*c^(13/2)*e*f^5
+ 36*a^(3/2)*b^10*c^(11/2)*d*e*f^5 - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^4 - 85*a^(5/2)*b^9*c^(9/2)*d^2*e*f^5 + 1
16*a^(7/2)*b^8*c^(7/2)*d^3*e*f^5 - 150*a^(9/2)*b^7*c^(5/2)*d^4*e*f^5 + 16*a^(11/2)*b^6*c^(3/2)*d^5*e*f^5 + 51*
a^(13/2)*b^5*c^(1/2)*d^6*e*f^5 - 36*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f^2 + 36*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f^2 + 3
6*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f^2 - 36*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f^2 + 87*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^3 -
100*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^3 + 66*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^3 - 180*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f
^3 + 127*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^3 + 22*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^4 + 24*a^(5/2)*b^9*c^(7/2)*d^3*e^
2*f^4 + 4*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^4 + 152*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^4 - 138*a^(11/2)*b^6*c^(1/2)*d^6
*e^2*f^4))/(d^18*e^8) + (2*b^(1/2)*((65536*(24*a^3*b^8*c^5*d^2*f^7 - 44*a^4*b^7*c^4*d^3*f^7 + 12*a^5*b^6*c^3*d
^4*f^7 + 12*a^6*b^5*c^2*d^5*f^7 + 3*a^4*b^7*d^7*e^4*f^3 - 2*a^5*b^6*d^7*e^3*f^4 - 5*a^6*b^5*d^7*e^2*f^5 + 3*b^
11*c^4*d^3*e^4*f^3 - 3*b^11*c^5*d^2*e^3*f^4 - 4*a^7*b^4*c*d^6*f^7 + 4*a^7*b^4*d^7*e*f^6 - 7*a^6*b^5*c*d^6*e*f^
6 + 12*a*b^10*c^3*d^4*e^4*f^3 - 42*a*b^10*c^4*d^3*e^3*f^4 + 30*a*b^10*c^5*d^2*e^2*f^5 - 51*a^2*b^9*c^5*d^2*e*f
^6 + 12*a^3*b^8*c*d^6*e^4*f^3 + 52*a^3*b^8*c^4*d^3*e*f^6 - 39*a^4*b^7*c*d^6*e^3*f^4 + 50*a^4*b^7*c^3*d^4*e*f^6
+ 38*a^5*b^6*c*d^6*e^2*f^5 - 48*a^5*b^6*c^2*d^5*e*f^6 - 30*a^2*b^9*c^2*d^5*e^4*f^3 + 50*a^2*b^9*c^3*d^4*e^3*f
^4 + 31*a^2*b^9*c^4*d^3*e^2*f^5 + 36*a^3*b^8*c^2*d^5*e^3*f^4 - 124*a^3*b^8*c^3*d^4*e^2*f^5 + 30*a^4*b^7*c^2*d^
5*e^2*f^5))/(d^18*e^8) - (2*b^(1/2)*((65536*(4*a^(7/2)*b^7*c^(9/2)*d^3*f^8 + 4*a^(9/2)*b^6*c^(7/2)*d^4*f^8 - 4
*a^(13/2)*b^4*c^(3/2)*d^6*f^8 - 4*a^(3/2)*b^9*c^(13/2)*d*f^8 + 4*a^(1/2)*b^10*c^(13/2)*d*e*f^7 + 23*a^(3/2)*b^
9*c^(11/2)*d^2*e*f^7 - 32*a^(5/2)*b^8*c^(9/2)*d^3*e*f^7 + 10*a^(7/2)*b^7*c^(7/2)*d^4*e*f^7 - 32*a^(9/2)*b^6*c^
(5/2)*d^5*e*f^7 + 23*a^(11/2)*b^5*c^(3/2)*d^6*e*f^7 + 4*a^(13/2)*b^4*c^(1/2)*d^7*e*f^7 - 12*a^(1/2)*b^10*c^(7/
2)*d^4*e^4*f^4 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^4 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^4 - 12*a^(7/2)*b^7*c^(1
/2)*d^7*e^4*f^4 + 31*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^5 - 28*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^5 - 6*a^(5/2)*b^8*c^(
5/2)*d^5*e^3*f^5 - 28*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^5 + 31*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^5 - 23*a^(1/2)*b^10*c
^(11/2)*d^2*e^2*f^6 - 3*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^6 + 26*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^6 + 26*a^(7/2)*b^7*
c^(5/2)*d^5*e^2*f^6 - 3*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^6 - 23*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^6))/(d^18*e^8) + (
65536*((a + b*x)^(1/2) - a^(1/2))*(72*a^3*b^7*c^5*d^3*f^8 - 30*a^2*b^8*c^6*d^2*f^8 - 100*a^4*b^6*c^4*d^4*f^8 +
72*a^5*b^5*c^3*d^5*f^8 - 30*a^6*b^4*c^2*d^6*f^8 + 3*a^4*b^6*d^8*e^4*f^4 - 13*a^5*b^5*d^8*e^3*f^5 + 18*a^6*b^4
*d^8*e^2*f^6 + 3*b^10*c^4*d^4*e^4*f^4 - 13*b^10*c^5*d^3*e^3*f^5 + 18*b^10*c^6*d^2*e^2*f^6 + 8*a*b^9*c^7*d*f^8
- 8*b^10*c^7*d*e*f^7 + 8*a^7*b^3*c*d^7*f^8 - 8*a^7*b^3*d^8*e*f^7 + 12*a*b^9*c^6*d^2*e*f^7 + 12*a^6*b^4*c*d^7*e
*f^7 + 12*a*b^9*c^3*d^5*e^4*f^4 - 9*a*b^9*c^4*d^4*e^3*f^5 - 23*a*b^9*c^5*d^3*e^2*f^6 - 36*a^2*b^8*c^5*d^3*e*f^
7 + 12*a^3*b^7*c*d^7*e^4*f^4 + 32*a^3*b^7*c^4*d^4*e*f^7 - 9*a^4*b^6*c*d^7*e^3*f^5 + 32*a^4*b^6*c^3*d^5*e*f^7 -
23*a^5*b^5*c*d^7*e^2*f^6 - 36*a^5*b^5*c^2*d^6*e*f^7 - 30*a^2*b^8*c^2*d^6*e^4*f^4 + 22*a^2*b^8*c^3*d^5*e^3*f^5
+ 74*a^2*b^8*c^4*d^4*e^2*f^6 + 22*a^3*b^7*c^2*d^6*e^3*f^5 - 138*a^3*b^7*c^3*d^5*e^2*f^6 + 74*a^4*b^6*c^2*d^6*
e^2*f^6))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(9/2
)*b^6*c^(7/2)*d^4*f^7 - 40*a^(7/2)*b^7*c^(9/2)*d^3*f^7 - 72*a^(11/2)*b^5*c^(5/2)*d^5*f^7 + 16*a^(13/2)*b^4*c^(
3/2)*d^6*f^7 + 92*a^(5/2)*b^8*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^7*c^(7/2)*d^4*e*f^6 + 36*a^(9/2)*b^6*c^(5/2)*d
^5*e*f^6 + 52*a^(11/2)*b^5*c^(3/2)*d^6*e*f^6 - 16*a^(13/2)*b^4*c^(1/2)*d^7*e*f^6 - 12*a^(1/2)*b^10*c^(7/2)*d^4
*e^4*f^3 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^7*c^(1/2)*d^
7*e^4*f^3 + 12*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^4 + 52*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^8*c^(5/2)
*d^5*e^3*f^4 + 60*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^4 + 8*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^4 - 64*a^(3/2)*b^9*c^(9/2)
*d^3*e^2*f^5 + 28*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^5 + 156*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^5 - 140*a^(9/2)*b^6*c^(3
/2)*d^6*e^2*f^5 + 20*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^5))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) +
(65536*((a + b*x)^(1/2) - a^(1/2))*(32*a*b^10*c^7*f^6 - 32*b^11*c^7*e*f^5 + 8*a^8*b^3*d^7*f^6 + 228*a^3*b^8*c
^5*d^2*f^6 - 240*a^4*b^7*c^4*d^3*f^6 + 136*a^5*b^6*c^3*d^4*f^6 - 48*a^6*b^5*c^2*d^5*f^6 + 9*a^4*b^7*d^7*e^4*f^
2 - 58*a^5*b^6*d^7*e^3*f^3 + 101*a^6*b^5*d^7*e^2*f^4 + 9*b^11*c^4*d^3*e^4*f^2 - 48*b^11*c^5*d^2*e^3*f^3 - 120*
a^2*b^9*c^6*d*f^6 + 4*a^7*b^4*c*d^6*f^6 - 60*a^7*b^4*d^7*e*f^5 + 72*b^11*c^6*d*e^2*f^4 + 116*a^6*b^5*c*d^6*e*f
^5 + 36*a*b^10*c^3*d^4*e^4*f^2 + 30*a*b^10*c^4*d^3*e^3*f^3 - 160*a*b^10*c^5*d^2*e^2*f^4 - 20*a^2*b^9*c^5*d^2*e
*f^5 + 36*a^3*b^8*c*d^6*e^4*f^2 - 132*a^3*b^8*c^4*d^3*e*f^5 + 288*a^4*b^7*c^3*d^4*e*f^5 - 156*a^5*b^6*c*d^6*e^
2*f^4 - 208*a^5*b^6*c^2*d^5*e*f^5 + 48*a*b^10*c^6*d*e*f^5 - 90*a^2*b^9*c^2*d^5*e^4*f^2 - 32*a^2*b^9*c^3*d^4*e^
3*f^3 + 333*a^2*b^9*c^4*d^3*e^2*f^4 + 108*a^3*b^8*c^2*d^5*e^3*f^3 - 428*a^3*b^8*c^3*d^4*e^2*f^4 + 238*a^4*b^7*
c^2*d^5*e^2*f^4))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*(24*a^4*b^8*c^4*d^2*f^5 - 4*a^
8*b^4*d^6*f^5 - 16*b^12*c^6*e^2*f^3 - 16*a^2*b^10*c^6*f^5 - 100*a^5*b^7*c^3*d^3*f^5 + 60*a^6*b^6*c^2*d^4*f^5 +
7*a^5*b^7*d^6*e^3*f^2 - 27*a^6*b^6*d^6*e^2*f^3 + 32*a*b^11*c^6*e*f^4 + 36*a^3*b^9*c^5*d*f^5 + 3*a^4*b^8*d^6*e
^4*f + 21*a^7*b^5*d^6*e*f^4 + 3*b^12*c^4*d^2*e^4*f + 16*b^12*c^5*d*e^3*f^2 + 12*a*b^11*c^3*d^3*e^4*f + 4*a*b^1
1*c^5*d*e^2*f^3 - 56*a^2*b^10*c^5*d*e*f^4 + 12*a^3*b^9*c*d^5*e^4*f - 72*a^6*b^6*c*d^5*e*f^4 - 69*a*b^11*c^4*d^
2*e^3*f^2 - 30*a^2*b^10*c^2*d^4*e^4*f - 111*a^3*b^9*c^4*d^2*e*f^4 - 96*a^4*b^8*c*d^5*e^3*f^2 + 232*a^4*b^8*c^3
*d^3*e*f^4 + 156*a^5*b^7*c*d^5*e^2*f^3 - 46*a^5*b^7*c^2*d^4*e*f^4 + 8*a^2*b^10*c^3*d^3*e^3*f^2 + 153*a^2*b^10*
c^4*d^2*e^2*f^3 + 134*a^3*b^9*c^2*d^4*e^3*f^2 - 152*a^3*b^9*c^3*d^3*e^2*f^3 - 118*a^4*b^8*c^2*d^4*e^2*f^3))/(d
^18*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(240*a^(7/2)*b^8*c^(9/2)*d^2*f^5 - 296*a^(9/2)*b^7*c^(7/2)*d^3*f
^5 + 112*a^(11/2)*b^6*c^(5/2)*d^4*f^5 + 24*a^(13/2)*b^5*c^(3/2)*d^5*f^5 - 16*a^(15/2)*b^4*c^(1/2)*d^6*f^5 - 64
*a^(5/2)*b^9*c^(11/2)*d*f^5 + 128*a^(3/2)*b^10*c^(11/2)*d*e*f^4 + 12*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f - 12*a^(3/
2)*b^10*c^(5/2)*d^4*e^4*f - 12*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f + 12*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f - 64*a^(1/2)*b
^11*c^(11/2)*d*e^2*f^3 - 416*a^(5/2)*b^9*c^(9/2)*d^2*e*f^4 + 300*a^(7/2)*b^8*c^(7/2)*d^3*e*f^4 + 220*a^(9/2)*b
^7*c^(5/2)*d^4*e*f^4 - 316*a^(11/2)*b^6*c^(3/2)*d^5*e*f^4 + 84*a^(13/2)*b^5*c^(1/2)*d^6*e*f^4 + 64*a^(1/2)*b^1
1*c^(9/2)*d^2*e^3*f^2 - 316*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^2 + 468*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^2 - 244*a^(7/
2)*b^8*c^(3/2)*d^5*e^3*f^2 + 28*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^2 + 112*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^3 + 300*a
^(5/2)*b^9*c^(7/2)*d^3*e^2*f^3 - 788*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^3 + 548*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^3 - 1
08*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^3))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)
^(1/2) - a^(1/2))*(32*a^2*b^10*c^6*f^4 + 6*a^4*b^8*d^6*e^4 + 34*a^8*b^4*d^6*f^4 + 6*b^12*c^4*d^2*e^4 + 32*b^12
*c^6*e^2*f^2 - 60*a^2*b^10*c^2*d^4*e^4 + 258*a^4*b^8*c^4*d^2*f^4 - 312*a^5*b^7*c^3*d^3*f^4 + 236*a^6*b^6*c^2*d
^4*f^4 + 112*a^6*b^6*d^6*e^2*f^2 - 64*a*b^11*c^6*e*f^3 - 32*b^12*c^5*d*e^3*f + 24*a*b^11*c^3*d^3*e^4 + 24*a^3*
b^9*c*d^5*e^4 - 128*a^3*b^9*c^5*d*f^4 - 120*a^7*b^5*c*d^5*f^4 - 48*a^5*b^7*d^6*e^3*f - 104*a^7*b^5*d^6*e*f^3 +
48*a*b^11*c^4*d^2*e^3*f - 64*a*b^11*c^5*d*e^2*f^2 + 224*a^2*b^10*c^5*d*e*f^3 + 288*a^6*b^6*c*d^5*e*f^3 - 96*a
^2*b^10*c^3*d^3*e^3*f + 128*a^3*b^9*c^2*d^4*e^3*f - 456*a^3*b^9*c^4*d^2*e*f^3 + 576*a^4*b^8*c^3*d^3*e*f^3 - 19
2*a^5*b^7*c*d^5*e^2*f^2 - 464*a^5*b^7*c^2*d^4*e*f^3 + 144*a^2*b^10*c^4*d^2*e^2*f^2 - 192*a^3*b^9*c^3*d^3*e^2*f
^2 + 160*a^4*b^8*c^2*d^4*e^2*f^2))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (2*b^(1/2)*((65536*(
16*a^(5/2)*b^10*c^(11/2)*f^4 + 24*a^(1/2)*b^12*c^(7/2)*d^2*e^4 - 24*a^(3/2)*b^11*c^(5/2)*d^3*e^4 - 24*a^(5/2)*
b^10*c^(3/2)*d^4*e^4 + 24*a^(7/2)*b^9*c^(1/2)*d^5*e^4 + 24*a^(9/2)*b^8*c^(7/2)*d^2*f^4 + 8*a^(11/2)*b^7*c^(5/2
)*d^3*f^4 - 40*a^(13/2)*b^6*c^(3/2)*d^4*f^4 + 24*a^(15/2)*b^5*c^(1/2)*d^5*f^4 + 16*a^(1/2)*b^12*c^(11/2)*e^2*f
^2 - 32*a^(7/2)*b^9*c^(9/2)*d*f^4 - 32*a^(3/2)*b^11*c^(11/2)*e*f^3 - 44*a^(1/2)*b^12*c^(9/2)*d*e^3*f + 20*a^(5
/2)*b^10*c^(9/2)*d*e*f^3 + 48*a^(3/2)*b^11*c^(7/2)*d^2*e^3*f - 72*a^(5/2)*b^10*c^(5/2)*d^3*e^3*f + 176*a^(7/2)
*b^9*c^(3/2)*d^4*e^3*f - 108*a^(9/2)*b^8*c^(1/2)*d^5*e^3*f + 56*a^(3/2)*b^11*c^(9/2)*d*e^2*f^2 + 48*a^(7/2)*b^
9*c^(7/2)*d^2*e*f^3 - 136*a^(9/2)*b^8*c^(5/2)*d^3*e*f^3 + 208*a^(11/2)*b^7*c^(3/2)*d^4*e*f^3 - 108*a^(13/2)*b^
6*c^(1/2)*d^5*e*f^3 - 144*a^(5/2)*b^10*c^(7/2)*d^2*e^2*f^2 + 224*a^(7/2)*b^9*c^(5/2)*d^3*e^2*f^2 - 320*a^(9/2)
*b^8*c^(3/2)*d^4*e^2*f^2 + 168*a^(11/2)*b^7*c^(1/2)*d^5*e^2*f^2))/(d^18*e^8) + (2*b^(1/2)*((65536*(24*a^4*b^8*
c^4*d^2*f^5 - 4*a^8*b^4*d^6*f^5 - 16*b^12*c^6*e^2*f^3 - 16*a^2*b^10*c^6*f^5 - 100*a^5*b^7*c^3*d^3*f^5 + 60*a^6
*b^6*c^2*d^4*f^5 + 7*a^5*b^7*d^6*e^3*f^2 - 27*a^6*b^6*d^6*e^2*f^3 + 32*a*b^11*c^6*e*f^4 + 36*a^3*b^9*c^5*d*f^5
+ 3*a^4*b^8*d^6*e^4*f + 21*a^7*b^5*d^6*e*f^4 + 3*b^12*c^4*d^2*e^4*f + 16*b^12*c^5*d*e^3*f^2 + 12*a*b^11*c^3*d
^3*e^4*f + 4*a*b^11*c^5*d*e^2*f^3 - 56*a^2*b^10*c^5*d*e*f^4 + 12*a^3*b^9*c*d^5*e^4*f - 72*a^6*b^6*c*d^5*e*f^4
- 69*a*b^11*c^4*d^2*e^3*f^2 - 30*a^2*b^10*c^2*d^4*e^4*f - 111*a^3*b^9*c^4*d^2*e*f^4 - 96*a^4*b^8*c*d^5*e^3*f^2
+ 232*a^4*b^8*c^3*d^3*e*f^4 + 156*a^5*b^7*c*d^5*e^2*f^3 - 46*a^5*b^7*c^2*d^4*e*f^4 + 8*a^2*b^10*c^3*d^3*e^3*f
^2 + 153*a^2*b^10*c^4*d^2*e^2*f^3 + 134*a^3*b^9*c^2*d^4*e^3*f^2 - 152*a^3*b^9*c^3*d^3*e^2*f^3 - 118*a^4*b^8*c^
2*d^4*e^2*f^3))/(d^18*e^8) + (2*b^(1/2)*((65536*(44*a^(11/2)*b^6*c^(5/2)*d^4*f^6 - 24*a^(7/2)*b^8*c^(9/2)*d^2*
f^6 - 4*a^(9/2)*b^7*c^(7/2)*d^3*f^6 - 16*a^(3/2)*b^10*c^(13/2)*f^6 - 24*a^(13/2)*b^5*c^(3/2)*d^5*f^6 - 4*a^(15
/2)*b^4*c^(1/2)*d^6*f^6 + 28*a^(5/2)*b^9*c^(11/2)*d*f^6 + 16*a^(1/2)*b^11*c^(13/2)*e*f^5 + 36*a^(3/2)*b^10*c^(
11/2)*d*e*f^5 - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^4 - 85*a^(5/2)*b^9*c^(9/2)*d^2*e*f^5 + 116*a^(7/2)*b^8*c^(7/2
)*d^3*e*f^5 - 150*a^(9/2)*b^7*c^(5/2)*d^4*e*f^5 + 16*a^(11/2)*b^6*c^(3/2)*d^5*e*f^5 + 51*a^(13/2)*b^5*c^(1/2)*
d^6*e*f^5 - 36*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f^2 + 36*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f^2 + 36*a^(5/2)*b^9*c^(3/2)
*d^5*e^4*f^2 - 36*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f^2 + 87*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^3 - 100*a^(3/2)*b^10*c^(
7/2)*d^3*e^3*f^3 + 66*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^3 - 180*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^3 + 127*a^(9/2)*b^7*
c^(1/2)*d^6*e^3*f^3 + 22*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^4 + 24*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^4 + 4*a^(7/2)*b^8
*c^(5/2)*d^4*e^2*f^4 + 152*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^4 - 138*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^4))/(d^18*e^8)
- (2*b^(1/2)*((65536*(24*a^3*b^8*c^5*d^2*f^7 - 44*a^4*b^7*c^4*d^3*f^7 + 12*a^5*b^6*c^3*d^4*f^7 + 12*a^6*b^5*c
^2*d^5*f^7 + 3*a^4*b^7*d^7*e^4*f^3 - 2*a^5*b^6*d^7*e^3*f^4 - 5*a^6*b^5*d^7*e^2*f^5 + 3*b^11*c^4*d^3*e^4*f^3 -
3*b^11*c^5*d^2*e^3*f^4 - 4*a^7*b^4*c*d^6*f^7 + 4*a^7*b^4*d^7*e*f^6 - 7*a^6*b^5*c*d^6*e*f^6 + 12*a*b^10*c^3*d^4
*e^4*f^3 - 42*a*b^10*c^4*d^3*e^3*f^4 + 30*a*b^10*c^5*d^2*e^2*f^5 - 51*a^2*b^9*c^5*d^2*e*f^6 + 12*a^3*b^8*c*d^6
*e^4*f^3 + 52*a^3*b^8*c^4*d^3*e*f^6 - 39*a^4*b^7*c*d^6*e^3*f^4 + 50*a^4*b^7*c^3*d^4*e*f^6 + 38*a^5*b^6*c*d^6*e
^2*f^5 - 48*a^5*b^6*c^2*d^5*e*f^6 - 30*a^2*b^9*c^2*d^5*e^4*f^3 + 50*a^2*b^9*c^3*d^4*e^3*f^4 + 31*a^2*b^9*c^4*d
^3*e^2*f^5 + 36*a^3*b^8*c^2*d^5*e^3*f^4 - 124*a^3*b^8*c^3*d^4*e^2*f^5 + 30*a^4*b^7*c^2*d^5*e^2*f^5))/(d^18*e^8
) + (2*b^(1/2)*((65536*(4*a^(7/2)*b^7*c^(9/2)*d^3*f^8 + 4*a^(9/2)*b^6*c^(7/2)*d^4*f^8 - 4*a^(13/2)*b^4*c^(3/2)
*d^6*f^8 - 4*a^(3/2)*b^9*c^(13/2)*d*f^8 + 4*a^(1/2)*b^10*c^(13/2)*d*e*f^7 + 23*a^(3/2)*b^9*c^(11/2)*d^2*e*f^7
- 32*a^(5/2)*b^8*c^(9/2)*d^3*e*f^7 + 10*a^(7/2)*b^7*c^(7/2)*d^4*e*f^7 - 32*a^(9/2)*b^6*c^(5/2)*d^5*e*f^7 + 23*
a^(11/2)*b^5*c^(3/2)*d^6*e*f^7 + 4*a^(13/2)*b^4*c^(1/2)*d^7*e*f^7 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^4 + 12*a
^(3/2)*b^9*c^(5/2)*d^5*e^4*f^4 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^4 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^4 + 31*
a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^5 - 28*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^5 - 6*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^5 - 28
*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^5 + 31*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^5 - 23*a^(1/2)*b^10*c^(11/2)*d^2*e^2*f^6 -
3*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^6 + 26*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^6 + 26*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^6 -
3*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^6 - 23*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^6))/(d^18*e^8) + (65536*((a + b*x)^(1/2
) - a^(1/2))*(72*a^3*b^7*c^5*d^3*f^8 - 30*a^2*b^8*c^6*d^2*f^8 - 100*a^4*b^6*c^4*d^4*f^8 + 72*a^5*b^5*c^3*d^5*f
^8 - 30*a^6*b^4*c^2*d^6*f^8 + 3*a^4*b^6*d^8*e^4*f^4 - 13*a^5*b^5*d^8*e^3*f^5 + 18*a^6*b^4*d^8*e^2*f^6 + 3*b^10
*c^4*d^4*e^4*f^4 - 13*b^10*c^5*d^3*e^3*f^5 + 18*b^10*c^6*d^2*e^2*f^6 + 8*a*b^9*c^7*d*f^8 - 8*b^10*c^7*d*e*f^7
+ 8*a^7*b^3*c*d^7*f^8 - 8*a^7*b^3*d^8*e*f^7 + 12*a*b^9*c^6*d^2*e*f^7 + 12*a^6*b^4*c*d^7*e*f^7 + 12*a*b^9*c^3*d
^5*e^4*f^4 - 9*a*b^9*c^4*d^4*e^3*f^5 - 23*a*b^9*c^5*d^3*e^2*f^6 - 36*a^2*b^8*c^5*d^3*e*f^7 + 12*a^3*b^7*c*d^7*
e^4*f^4 + 32*a^3*b^7*c^4*d^4*e*f^7 - 9*a^4*b^6*c*d^7*e^3*f^5 + 32*a^4*b^6*c^3*d^5*e*f^7 - 23*a^5*b^5*c*d^7*e^2
*f^6 - 36*a^5*b^5*c^2*d^6*e*f^7 - 30*a^2*b^8*c^2*d^6*e^4*f^4 + 22*a^2*b^8*c^3*d^5*e^3*f^5 + 74*a^2*b^8*c^4*d^4
*e^2*f^6 + 22*a^3*b^7*c^2*d^6*e^3*f^5 - 138*a^3*b^7*c^3*d^5*e^2*f^6 + 74*a^4*b^6*c^2*d^6*e^2*f^6))/(d^18*e^8*(
(c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(9/2)*b^6*c^(7/2)*d^4*f^7
- 40*a^(7/2)*b^7*c^(9/2)*d^3*f^7 - 72*a^(11/2)*b^5*c^(5/2)*d^5*f^7 + 16*a^(13/2)*b^4*c^(3/2)*d^6*f^7 + 92*a^(
5/2)*b^8*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^7*c^(7/2)*d^4*e*f^6 + 36*a^(9/2)*b^6*c^(5/2)*d^5*e*f^6 + 52*a^(11/2
)*b^5*c^(3/2)*d^6*e*f^6 - 16*a^(13/2)*b^4*c^(1/2)*d^7*e*f^6 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)
*b^9*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^3 + 12*a^(1/2
)*b^10*c^(9/2)*d^3*e^3*f^4 + 52*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^4 + 60*a^(
7/2)*b^7*c^(3/2)*d^6*e^3*f^4 + 8*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^4 - 64*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^5 + 28*a^(
5/2)*b^8*c^(7/2)*d^4*e^2*f^5 + 156*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^5 - 140*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^5 + 20*
a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^5))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1
/2) - a^(1/2))*(32*a*b^10*c^7*f^6 - 32*b^11*c^7*e*f^5 + 8*a^8*b^3*d^7*f^6 + 228*a^3*b^8*c^5*d^2*f^6 - 240*a^4*
b^7*c^4*d^3*f^6 + 136*a^5*b^6*c^3*d^4*f^6 - 48*a^6*b^5*c^2*d^5*f^6 + 9*a^4*b^7*d^7*e^4*f^2 - 58*a^5*b^6*d^7*e^
3*f^3 + 101*a^6*b^5*d^7*e^2*f^4 + 9*b^11*c^4*d^3*e^4*f^2 - 48*b^11*c^5*d^2*e^3*f^3 - 120*a^2*b^9*c^6*d*f^6 + 4
*a^7*b^4*c*d^6*f^6 - 60*a^7*b^4*d^7*e*f^5 + 72*b^11*c^6*d*e^2*f^4 + 116*a^6*b^5*c*d^6*e*f^5 + 36*a*b^10*c^3*d^
4*e^4*f^2 + 30*a*b^10*c^4*d^3*e^3*f^3 - 160*a*b^10*c^5*d^2*e^2*f^4 - 20*a^2*b^9*c^5*d^2*e*f^5 + 36*a^3*b^8*c*d
^6*e^4*f^2 - 132*a^3*b^8*c^4*d^3*e*f^5 + 288*a^4*b^7*c^3*d^4*e*f^5 - 156*a^5*b^6*c*d^6*e^2*f^4 - 208*a^5*b^6*c
^2*d^5*e*f^5 + 48*a*b^10*c^6*d*e*f^5 - 90*a^2*b^9*c^2*d^5*e^4*f^2 - 32*a^2*b^9*c^3*d^4*e^3*f^3 + 333*a^2*b^9*c
^4*d^3*e^2*f^4 + 108*a^3*b^8*c^2*d^5*e^3*f^3 - 428*a^3*b^8*c^3*d^4*e^2*f^4 + 238*a^4*b^7*c^2*d^5*e^2*f^4))/(d^
18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(240*a^(7/2)*b^8*c^(9/2
)*d^2*f^5 - 296*a^(9/2)*b^7*c^(7/2)*d^3*f^5 + 112*a^(11/2)*b^6*c^(5/2)*d^4*f^5 + 24*a^(13/2)*b^5*c^(3/2)*d^5*f
^5 - 16*a^(15/2)*b^4*c^(1/2)*d^6*f^5 - 64*a^(5/2)*b^9*c^(11/2)*d*f^5 + 128*a^(3/2)*b^10*c^(11/2)*d*e*f^4 + 12*
a^(1/2)*b^11*c^(7/2)*d^3*e^4*f - 12*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f - 12*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f + 12*a^(
7/2)*b^8*c^(1/2)*d^6*e^4*f - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^3 - 416*a^(5/2)*b^9*c^(9/2)*d^2*e*f^4 + 300*a^(7
/2)*b^8*c^(7/2)*d^3*e*f^4 + 220*a^(9/2)*b^7*c^(5/2)*d^4*e*f^4 - 316*a^(11/2)*b^6*c^(3/2)*d^5*e*f^4 + 84*a^(13/
2)*b^5*c^(1/2)*d^6*e*f^4 + 64*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^2 - 316*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^2 + 468*a^
(5/2)*b^9*c^(5/2)*d^4*e^3*f^2 - 244*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^2 + 28*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^2 + 112
*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^3 + 300*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^3 - 788*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^3
+ 548*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^3 - 108*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^3))/(d^18*e^8*((c + d*x)^(1/2) - c^
(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a^2*b^10*c^6*f^4 + 6*a^4*b^8*d^6*e^4 + 34*a^8*b
^4*d^6*f^4 + 6*b^12*c^4*d^2*e^4 + 32*b^12*c^6*e^2*f^2 - 60*a^2*b^10*c^2*d^4*e^4 + 258*a^4*b^8*c^4*d^2*f^4 - 31
2*a^5*b^7*c^3*d^3*f^4 + 236*a^6*b^6*c^2*d^4*f^4 + 112*a^6*b^6*d^6*e^2*f^2 - 64*a*b^11*c^6*e*f^3 - 32*b^12*c^5*
d*e^3*f + 24*a*b^11*c^3*d^3*e^4 + 24*a^3*b^9*c*d^5*e^4 - 128*a^3*b^9*c^5*d*f^4 - 120*a^7*b^5*c*d^5*f^4 - 48*a^
5*b^7*d^6*e^3*f - 104*a^7*b^5*d^6*e*f^3 + 48*a*b^11*c^4*d^2*e^3*f - 64*a*b^11*c^5*d*e^2*f^2 + 224*a^2*b^10*c^5
*d*e*f^3 + 288*a^6*b^6*c*d^5*e*f^3 - 96*a^2*b^10*c^3*d^3*e^3*f + 128*a^3*b^9*c^2*d^4*e^3*f - 456*a^3*b^9*c^4*d
^2*e*f^3 + 576*a^4*b^8*c^3*d^3*e*f^3 - 192*a^5*b^7*c*d^5*e^2*f^2 - 464*a^5*b^7*c^2*d^4*e*f^3 + 144*a^2*b^10*c^
4*d^2*e^2*f^2 - 192*a^3*b^9*c^3*d^3*e^2*f^2 + 160*a^4*b^8*c^2*d^4*e^2*f^2))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/
2)))))/(d^(1/2)*f) + (131072*((a + b*x)^(1/2) - a^(1/2))*(240*a^(3/2)*b^11*c^(7/2)*d^2*e^3 - 336*a^(5/2)*b^10*
c^(5/2)*d^3*e^3 + 208*a^(7/2)*b^9*c^(3/2)*d^4*e^3 - 48*a^(9/2)*b^8*c^(1/2)*d^5*e^3 - 240*a^(9/2)*b^8*c^(7/2)*d
^2*f^3 + 336*a^(11/2)*b^7*c^(5/2)*d^3*f^3 - 208*a^(13/2)*b^6*c^(3/2)*d^4*f^3 + 48*a^(15/2)*b^5*c^(1/2)*d^5*f^3
- 64*a^(1/2)*b^12*c^(9/2)*d*e^3 + 64*a^(7/2)*b^9*c^(9/2)*d*f^3 + 192*a^(3/2)*b^11*c^(9/2)*d*e^2*f - 192*a^(5/
2)*b^10*c^(9/2)*d*e*f^2 - 720*a^(5/2)*b^10*c^(7/2)*d^2*e^2*f + 1008*a^(7/2)*b^9*c^(5/2)*d^3*e^2*f - 624*a^(9/2
)*b^8*c^(3/2)*d^4*e^2*f + 144*a^(11/2)*b^7*c^(1/2)*d^5*e^2*f + 720*a^(7/2)*b^9*c^(7/2)*d^2*e*f^2 - 1008*a^(9/2
)*b^8*c^(5/2)*d^3*e*f^2 + 624*a^(11/2)*b^7*c^(3/2)*d^4*e*f^2 - 144*a^(13/2)*b^6*c^(1/2)*d^5*e*f^2))/(d^18*e^8*
((c + d*x)^(1/2) - c^(1/2)))))*4i)/(d^(1/2)*f) - (atan((((a*f - b*e)*((1024*(16*a^(5/2)*b^6*c^(7/2)*f^3 + 48*a
^(5/2)*b^6*c^(1/2)*d^3*e^3 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^3 + 48*a^(1/2)*b^8*c^(5/2)*d*e^3 - 128*a^(7/2)*b^5*c
^(5/2)*d*f^3 + 16*a^(1/2)*b^8*c^(7/2)*e^2*f - 32*a^(3/2)*b^7*c^(7/2)*e*f^2 - 200*a^(3/2)*b^7*c^(5/2)*d*e^2*f +
280*a^(5/2)*b^6*c^(5/2)*d*e*f^2 - 32*a^(5/2)*b^6*c^(3/2)*d^2*e^2*f - 72*a^(7/2)*b^5*c^(1/2)*d^3*e^2*f + 16*a^
(7/2)*b^5*c^(3/2)*d^2*e*f^2 + 24*a^(9/2)*b^4*c^(1/2)*d^3*e*f^2))/(d^12*e^6) + ((a*f - b*e)*((1024*(16*a^2*b^6*
c^4*f^4 - 9*a^2*b^6*d^4*e^4 - 9*b^8*c^2*d^2*e^4 + 16*a^4*b^4*c^2*d^2*f^4 - 29*a^4*b^4*d^4*e^2*f^2 + 18*a*b^7*c
*d^3*e^4 - 16*a*b^7*c^4*e*f^3 + 12*b^8*c^3*d*e^3*f + 88*a^3*b^5*c^3*d*f^4 + 24*a^5*b^3*c*d^3*f^4 + 30*a^3*b^5*
d^4*e^3*f + 4*a^5*b^3*d^4*e*f^3 - 66*a*b^7*c^2*d^2*e^3*f + 68*a*b^7*c^3*d*e^2*f^2 - 120*a^2*b^6*c*d^3*e^3*f -
164*a^2*b^6*c^3*d*e*f^3 - 84*a^4*b^4*c*d^3*e*f^3 + 174*a^3*b^5*c*d^3*e^2*f^2 - 172*a^3*b^5*c^2*d^2*e*f^3 + 219
*a^2*b^6*c^2*d^2*e^2*f^2))/(d^12*e^6) - ((a*f - b*e)*((1024*(16*a^(3/2)*b^6*c^(9/2)*f^5 - 16*a^(7/2)*b^4*c^(5/
2)*d^2*f^5 - 16*a^(1/2)*b^7*c^(9/2)*e*f^4 + 8*a^(3/2)*b^6*c^(7/2)*d*e*f^4 - 8*a^(1/2)*b^7*c^(7/2)*d*e^2*f^3 -
32*a^(5/2)*b^5*c^(5/2)*d^2*e*f^4 + 40*a^(7/2)*b^4*c^(3/2)*d^3*e*f^4 + 30*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f^2 - 60*
a^(3/2)*b^6*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f^2 + 18*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^3 + 20
*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^3 - 30*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^3))/(d^12*e^6) + ((a*f - b*e)*((1024*(24*a
^3*b^4*c^3*d^2*f^6 + 12*a^4*b^3*c^2*d^3*f^6 - 9*a^2*b^5*d^5*e^4*f^2 + 24*a^3*b^4*d^5*e^3*f^3 - 16*a^4*b^3*d^5*
e^2*f^4 - 9*b^7*c^2*d^3*e^4*f^2 + 24*b^7*c^3*d^2*e^3*f^3 + 12*a^2*b^5*c^4*d*f^6 - 16*b^7*c^4*d*e^2*f^4 + 18*a*
b^6*c*d^4*e^4*f^2 + 4*a^4*b^3*c*d^4*e*f^5 - 48*a*b^6*c^2*d^3*e^3*f^3 + 29*a*b^6*c^3*d^2*e^2*f^4 - 48*a^2*b^5*c
*d^4*e^3*f^3 - 76*a^2*b^5*c^3*d^2*e*f^5 + 29*a^3*b^4*c*d^4*e^2*f^4 - 76*a^3*b^4*c^2*d^3*e*f^5 + 4*a*b^6*c^4*d*
e*f^5 + 118*a^2*b^5*c^2*d^3*e^2*f^4))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(12*a^2*b^4*c^4*d^2*f^6
- 40*a^3*b^3*c^3*d^3*f^6 + 12*a^4*b^2*c^2*d^4*f^6 + 9*a^2*b^4*d^6*e^4*f^2 - 42*a^3*b^3*d^6*e^3*f^3 + 64*a^4*b
^2*d^6*e^2*f^4 + 9*b^6*c^2*d^4*e^4*f^2 - 42*b^6*c^3*d^3*e^3*f^3 + 64*b^6*c^4*d^2*e^2*f^4 + 32*a*b^5*c^5*d*f^6
+ 32*a^5*b*c*d^5*f^6 - 32*a^5*b*d^6*e*f^5 - 32*b^6*c^5*d*e*f^5 - 18*a*b^5*c*d^5*e^4*f^2 - 76*a*b^5*c^4*d^2*e*f
^5 - 76*a^4*b^2*c*d^5*e*f^5 + 18*a*b^5*c^2*d^4*e^3*f^3 + 47*a*b^5*c^3*d^3*e^2*f^4 + 18*a^2*b^4*c*d^5*e^3*f^3 +
36*a^2*b^4*c^3*d^3*e*f^5 + 47*a^3*b^3*c*d^5*e^2*f^4 + 36*a^3*b^3*c^2*d^4*e*f^5 - 78*a^2*b^4*c^2*d^4*e^2*f^4))
/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(5/2)*b^4*c^(7/2)*d^2*f^6
+ 12*a^(7/2)*b^3*c^(5/2)*d^3*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^4*f^6 - 36*a^(3/2)*b^5*c^(9/2)*d*f^6 + 36*a^(1/2)*
b^6*c^(9/2)*d*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d^2*e*f^5 - 20*a^(5/2)*b^4*c^(5/2)*d^3*e*f^5 + 46*a^(7/2)*b^3*c^(
3/2)*d^4*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^5*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2
)*d^5*e^3*f^3 - 59*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^4 - 13*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/
2)*d^4*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^4))/(d^12*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*((a + b*x)^(1/2) - a^(1/2))^2*(40*a^(5/2)*b^4*c^(7/2)*d^2*f^5 + 176
*a^(7/2)*b^3*c^(5/2)*d^3*f^5 - 120*a^(9/2)*b^2*c^(3/2)*d^4*f^5 - 96*a^(3/2)*b^5*c^(9/2)*d*f^5 + 96*a^(1/2)*b^6
*c^(9/2)*d*e*f^4 + 152*a^(3/2)*b^5*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^4*c^(5/2)*d^3*e*f^4 + 40*a^(7/2)*b^3*c^(3
/2)*d^4*e*f^4 + 120*a^(9/2)*b^2*c^(1/2)*d^5*e*f^4 + 90*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^5*c^(3/
2)*d^4*e^3*f^2 + 90*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^2 - 192*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^3 + 142*a^(3/2)*b^5*c^
(5/2)*d^3*e^2*f^3 + 260*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^3 - 210*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^3))/(d^12*e^6*((c
+ d*x)^(1/2) - c^(1/2))^2) - (2048*((a + b*x)^(1/2) - a^(1/2))*(16*a*b^6*c^5*f^5 - 16*b^7*c^5*e*f^4 - 116*a^3*
b^4*c^3*d^2*f^5 + 20*a^4*b^3*c^2*d^3*f^5 - 15*a^3*b^4*d^5*e^3*f^2 + 35*a^4*b^3*d^5*e^2*f^3 - 15*b^7*c^3*d^2*e^
3*f^2 + 60*a^2*b^5*c^4*d*f^5 + 20*a^5*b^2*c*d^4*f^5 - 20*a^5*b^2*d^5*e*f^4 + 32*b^7*c^4*d*e^2*f^3 - 60*a^4*b^3
*c*d^4*e*f^4 + 15*a*b^6*c^2*d^3*e^3*f^2 + 63*a*b^6*c^3*d^2*e^2*f^3 + 15*a^2*b^5*c*d^4*e^3*f^2 + 68*a^2*b^5*c^3
*d^2*e*f^4 + 25*a^3*b^4*c*d^4*e^2*f^3 + 120*a^3*b^4*c^2*d^3*e*f^4 - 92*a*b^6*c^4*d*e*f^4 - 155*a^2*b^5*c^2*d^3
*e^2*f^3))/(d^12*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))*(4*a^(9/2)*b^3*c^(3/2)*d^3*f^4 - 52*a^(7/2)*b^4*c^(5/2)*d^2*f^4 - 32*a^(3/2)*b^6*c
^(9/2)*f^4 - 36*a^(11/2)*b^2*c^(1/2)*d^4*f^4 - 28*a^(5/2)*b^5*c^(7/2)*d*f^4 + 32*a^(1/2)*b^7*c^(9/2)*e*f^3 + 1
12*a^(3/2)*b^6*c^(7/2)*d*e*f^3 + 42*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f + 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f + 42*a^(5
/2)*b^5*c^(1/2)*d^4*e^3*f - 88*a^(1/2)*b^7*c^(7/2)*d*e^2*f^2 + 130*a^(5/2)*b^5*c^(5/2)*d^2*e*f^3 + 44*a^(7/2)*
b^4*c^(3/2)*d^3*e*f^3 + 114*a^(9/2)*b^3*c^(1/2)*d^4*e*f^3 - 108*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^2 - 120*a^(5/2)*
b^5*c^(3/2)*d^3*e^2*f^2 - 116*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024
*((a + b*x)^(1/2) - a^(1/2))^2*(64*b^7*c^5*e*f^3 - 32*a^6*b*d^5*f^4 - 64*a*b^6*c^5*f^4 - 9*a^2*b^5*d^5*e^4 - 9
*b^7*c^2*d^3*e^4 - 272*a^3*b^4*c^3*d^2*f^4 + 144*a^4*b^3*c^2*d^3*f^4 - 141*a^4*b^3*d^5*e^2*f^2 + 18*a*b^6*c*d^
4*e^4 + 128*a^2*b^5*c^4*d*f^4 - 48*a^5*b^2*c*d^4*f^4 + 54*a^3*b^4*d^5*e^3*f + 132*a^5*b^2*d^5*e*f^3 + 36*b^7*c
^3*d^2*e^3*f - 96*b^7*c^4*d*e^2*f^2 + 54*a*b^6*c^2*d^3*e^3*f - 36*a^4*b^3*c*d^4*e*f^3 + 12*a*b^6*c^3*d^2*e^2*f
^2 + 220*a^2*b^5*c^3*d^2*e*f^3 + 54*a^3*b^4*c*d^4*e^2*f^2 + 84*a^3*b^4*c^2*d^3*e*f^3 - 32*a*b^6*c^4*d*e*f^3 -
261*a^2*b^5*c^2*d^3*e^2*f^2))/(d^12*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))*(12*b^8*c^3*d*e^3 - 16*b^8*c^4*e^2*f - 16*a^2*b^6*c^4*f^3 + 1
2*a^3*b^5*d^4*e^3 - 20*a^6*b^2*d^4*f^3 + 164*a^4*b^4*c^2*d^2*f^3 + 32*a*b^7*c^4*e*f^2 - 60*a*b^7*c^2*d^2*e^3 -
60*a^2*b^6*c*d^3*e^3 + 4*a^3*b^5*c^3*d*f^3 - 36*a^5*b^3*c*d^3*f^3 - 48*a^4*b^4*d^4*e^2*f + 56*a^5*b^3*d^4*e*f
^2 + 24*a^2*b^6*c^3*d*e*f^2 + 72*a^3*b^5*c*d^3*e^2*f + 24*a^4*b^4*c*d^3*e*f^2 + 320*a^2*b^6*c^2*d^2*e^2*f - 42
4*a^3*b^5*c^2*d^2*e*f^2 - 40*a*b^7*c^3*d*e^2*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/
2) - a^(1/2))^2*(72*a^(1/2)*b^7*c^(5/2)*d^2*e^3 - 240*a^(3/2)*b^6*c^(3/2)*d^3*e^3 + 72*a^(5/2)*b^5*c^(1/2)*d^4
*e^3 + 168*a^(7/2)*b^4*c^(5/2)*d^2*f^3 + 144*a^(9/2)*b^3*c^(3/2)*d^3*f^3 - 120*a^(11/2)*b^2*c^(1/2)*d^4*f^3 -
96*a^(5/2)*b^5*c^(7/2)*d*f^3 - 96*a^(1/2)*b^7*c^(7/2)*d*e^2*f + 192*a^(3/2)*b^6*c^(7/2)*d*e*f^2 + 672*a^(5/2)*
b^5*c^(3/2)*d^3*e^2*f - 288*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f - 240*a^(5/2)*b^5*c^(5/2)*d^2*e*f^2 - 576*a^(7/2)*b^
4*c^(3/2)*d^3*e*f^2 + 336*a^(9/2)*b^3*c^(1/2)*d^4*e*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2))*1i)/(f*(a*
c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + ((a*f - b*e)*((1024*(16*a^(5/2)*b^6*c^(7/2)*f^3 + 48*a^(5/2)*b^6
*c^(1/2)*d^3*e^3 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^3 + 48*a^(1/2)*b^8*c^(5/2)*d*e^3 - 128*a^(7/2)*b^5*c^(5/2)*d*f
^3 + 16*a^(1/2)*b^8*c^(7/2)*e^2*f - 32*a^(3/2)*b^7*c^(7/2)*e*f^2 - 200*a^(3/2)*b^7*c^(5/2)*d*e^2*f + 280*a^(5/
2)*b^6*c^(5/2)*d*e*f^2 - 32*a^(5/2)*b^6*c^(3/2)*d^2*e^2*f - 72*a^(7/2)*b^5*c^(1/2)*d^3*e^2*f + 16*a^(7/2)*b^5*
c^(3/2)*d^2*e*f^2 + 24*a^(9/2)*b^4*c^(1/2)*d^3*e*f^2))/(d^12*e^6) - ((a*f - b*e)*((1024*(16*a^2*b^6*c^4*f^4 -
9*a^2*b^6*d^4*e^4 - 9*b^8*c^2*d^2*e^4 + 16*a^4*b^4*c^2*d^2*f^4 - 29*a^4*b^4*d^4*e^2*f^2 + 18*a*b^7*c*d^3*e^4 -
16*a*b^7*c^4*e*f^3 + 12*b^8*c^3*d*e^3*f + 88*a^3*b^5*c^3*d*f^4 + 24*a^5*b^3*c*d^3*f^4 + 30*a^3*b^5*d^4*e^3*f
+ 4*a^5*b^3*d^4*e*f^3 - 66*a*b^7*c^2*d^2*e^3*f + 68*a*b^7*c^3*d*e^2*f^2 - 120*a^2*b^6*c*d^3*e^3*f - 164*a^2*b^
6*c^3*d*e*f^3 - 84*a^4*b^4*c*d^3*e*f^3 + 174*a^3*b^5*c*d^3*e^2*f^2 - 172*a^3*b^5*c^2*d^2*e*f^3 + 219*a^2*b^6*c
^2*d^2*e^2*f^2))/(d^12*e^6) - ((a*f - b*e)*(((a*f - b*e)*((1024*(24*a^3*b^4*c^3*d^2*f^6 + 12*a^4*b^3*c^2*d^3*f
^6 - 9*a^2*b^5*d^5*e^4*f^2 + 24*a^3*b^4*d^5*e^3*f^3 - 16*a^4*b^3*d^5*e^2*f^4 - 9*b^7*c^2*d^3*e^4*f^2 + 24*b^7*
c^3*d^2*e^3*f^3 + 12*a^2*b^5*c^4*d*f^6 - 16*b^7*c^4*d*e^2*f^4 + 18*a*b^6*c*d^4*e^4*f^2 + 4*a^4*b^3*c*d^4*e*f^5
- 48*a*b^6*c^2*d^3*e^3*f^3 + 29*a*b^6*c^3*d^2*e^2*f^4 - 48*a^2*b^5*c*d^4*e^3*f^3 - 76*a^2*b^5*c^3*d^2*e*f^5 +
29*a^3*b^4*c*d^4*e^2*f^4 - 76*a^3*b^4*c^2*d^3*e*f^5 + 4*a*b^6*c^4*d*e*f^5 + 118*a^2*b^5*c^2*d^3*e^2*f^4))/(d^
12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(12*a^2*b^4*c^4*d^2*f^6 - 40*a^3*b^3*c^3*d^3*f^6 + 12*a^4*b^2*c^
2*d^4*f^6 + 9*a^2*b^4*d^6*e^4*f^2 - 42*a^3*b^3*d^6*e^3*f^3 + 64*a^4*b^2*d^6*e^2*f^4 + 9*b^6*c^2*d^4*e^4*f^2 -
42*b^6*c^3*d^3*e^3*f^3 + 64*b^6*c^4*d^2*e^2*f^4 + 32*a*b^5*c^5*d*f^6 + 32*a^5*b*c*d^5*f^6 - 32*a^5*b*d^6*e*f^5
- 32*b^6*c^5*d*e*f^5 - 18*a*b^5*c*d^5*e^4*f^2 - 76*a*b^5*c^4*d^2*e*f^5 - 76*a^4*b^2*c*d^5*e*f^5 + 18*a*b^5*c^
2*d^4*e^3*f^3 + 47*a*b^5*c^3*d^3*e^2*f^4 + 18*a^2*b^4*c*d^5*e^3*f^3 + 36*a^2*b^4*c^3*d^3*e*f^5 + 47*a^3*b^3*c*
d^5*e^2*f^4 + 36*a^3*b^3*c^2*d^4*e*f^5 - 78*a^2*b^4*c^2*d^4*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2)
+ (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(5/2)*b^4*c^(7/2)*d^2*f^6 + 12*a^(7/2)*b^3*c^(5/2)*d^3*f^6 - 36*a^(
9/2)*b^2*c^(3/2)*d^4*f^6 - 36*a^(3/2)*b^5*c^(9/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*d*e*f^5 + 46*a^(3/2)*b^5*c^(7
/2)*d^2*e*f^5 - 20*a^(5/2)*b^4*c^(5/2)*d^3*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^4*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d
^5*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^3 - 59*a^(1/2)*b^6*c^(7/2)*d^
2*e^2*f^4 - 13*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d
^5*e^2*f^4))/(d^12*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)) - (102
4*(16*a^(3/2)*b^6*c^(9/2)*f^5 - 16*a^(7/2)*b^4*c^(5/2)*d^2*f^5 - 16*a^(1/2)*b^7*c^(9/2)*e*f^4 + 8*a^(3/2)*b^6*
c^(7/2)*d*e*f^4 - 8*a^(1/2)*b^7*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^5*c^(5/2)*d^2*e*f^4 + 40*a^(7/2)*b^4*c^(3/2)*
d^3*e*f^4 + 30*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^5*c^(1/2)*d
^4*e^3*f^2 + 18*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^3 + 20*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^3 - 30*a^(7/2)*b^4*c^(1/2)*
d^4*e^2*f^3))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(40*a^(5/2)*b^4*c^(7/2)*d^2*f^5 + 176*a^(7/2)*b
^3*c^(5/2)*d^3*f^5 - 120*a^(9/2)*b^2*c^(3/2)*d^4*f^5 - 96*a^(3/2)*b^5*c^(9/2)*d*f^5 + 96*a^(1/2)*b^6*c^(9/2)*d
*e*f^4 + 152*a^(3/2)*b^5*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^4*c^(5/2)*d^3*e*f^4 + 40*a^(7/2)*b^3*c^(3/2)*d^4*e*
f^4 + 120*a^(9/2)*b^2*c^(1/2)*d^5*e*f^4 + 90*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^5*c^(3/2)*d^4*e^3
*f^2 + 90*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^2 - 192*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^3 + 142*a^(3/2)*b^5*c^(5/2)*d^3*
e^2*f^3 + 260*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^3 - 210*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/
2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(16*a*b^6*c^5*f^5 - 16*b^7*c^5*e*f^4 - 116*a^3*b^4*c^3*d^
2*f^5 + 20*a^4*b^3*c^2*d^3*f^5 - 15*a^3*b^4*d^5*e^3*f^2 + 35*a^4*b^3*d^5*e^2*f^3 - 15*b^7*c^3*d^2*e^3*f^2 + 60
*a^2*b^5*c^4*d*f^5 + 20*a^5*b^2*c*d^4*f^5 - 20*a^5*b^2*d^5*e*f^4 + 32*b^7*c^4*d*e^2*f^3 - 60*a^4*b^3*c*d^4*e*f
^4 + 15*a*b^6*c^2*d^3*e^3*f^2 + 63*a*b^6*c^3*d^2*e^2*f^3 + 15*a^2*b^5*c*d^4*e^3*f^2 + 68*a^2*b^5*c^3*d^2*e*f^4
+ 25*a^3*b^4*c*d^4*e^2*f^3 + 120*a^3*b^4*c^2*d^3*e*f^4 - 92*a*b^6*c^4*d*e*f^4 - 155*a^2*b^5*c^2*d^3*e^2*f^3))
/(d^12*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))*(4*a^(9/2)*b^3*c^(3/2)*d^3*f^4 - 52*a^(7/2)*b^4*c^(5/2)*d^2*f^4 - 32*a^(3/2)*b^6*c^(9/2)*f^4
- 36*a^(11/2)*b^2*c^(1/2)*d^4*f^4 - 28*a^(5/2)*b^5*c^(7/2)*d*f^4 + 32*a^(1/2)*b^7*c^(9/2)*e*f^3 + 112*a^(3/2)
*b^6*c^(7/2)*d*e*f^3 + 42*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f + 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f + 42*a^(5/2)*b^5*c^
(1/2)*d^4*e^3*f - 88*a^(1/2)*b^7*c^(7/2)*d*e^2*f^2 + 130*a^(5/2)*b^5*c^(5/2)*d^2*e*f^3 + 44*a^(7/2)*b^4*c^(3/2
)*d^3*e*f^3 + 114*a^(9/2)*b^3*c^(1/2)*d^4*e*f^3 - 108*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^2 - 120*a^(5/2)*b^5*c^(3/2
)*d^3*e^2*f^2 - 116*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x
)^(1/2) - a^(1/2))^2*(64*b^7*c^5*e*f^3 - 32*a^6*b*d^5*f^4 - 64*a*b^6*c^5*f^4 - 9*a^2*b^5*d^5*e^4 - 9*b^7*c^2*d
^3*e^4 - 272*a^3*b^4*c^3*d^2*f^4 + 144*a^4*b^3*c^2*d^3*f^4 - 141*a^4*b^3*d^5*e^2*f^2 + 18*a*b^6*c*d^4*e^4 + 12
8*a^2*b^5*c^4*d*f^4 - 48*a^5*b^2*c*d^4*f^4 + 54*a^3*b^4*d^5*e^3*f + 132*a^5*b^2*d^5*e*f^3 + 36*b^7*c^3*d^2*e^3
*f - 96*b^7*c^4*d*e^2*f^2 + 54*a*b^6*c^2*d^3*e^3*f - 36*a^4*b^3*c*d^4*e*f^3 + 12*a*b^6*c^3*d^2*e^2*f^2 + 220*a
^2*b^5*c^3*d^2*e*f^3 + 54*a^3*b^4*c*d^4*e^2*f^2 + 84*a^3*b^4*c^2*d^3*e*f^3 - 32*a*b^6*c^4*d*e*f^3 - 261*a^2*b^
5*c^2*d^3*e^2*f^2))/(d^12*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))*(12*b^8*c^3*d*e^3 - 16*b^8*c^4*e^2*f - 16*a^2*b^6*c^4*f^3 + 12*a^3*b^5*
d^4*e^3 - 20*a^6*b^2*d^4*f^3 + 164*a^4*b^4*c^2*d^2*f^3 + 32*a*b^7*c^4*e*f^2 - 60*a*b^7*c^2*d^2*e^3 - 60*a^2*b^
6*c*d^3*e^3 + 4*a^3*b^5*c^3*d*f^3 - 36*a^5*b^3*c*d^3*f^3 - 48*a^4*b^4*d^4*e^2*f + 56*a^5*b^3*d^4*e*f^2 + 24*a^
2*b^6*c^3*d*e*f^2 + 72*a^3*b^5*c*d^3*e^2*f + 24*a^4*b^4*c*d^3*e*f^2 + 320*a^2*b^6*c^2*d^2*e^2*f - 424*a^3*b^5*
c^2*d^2*e*f^2 - 40*a*b^7*c^3*d*e^2*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/
2))^2*(72*a^(1/2)*b^7*c^(5/2)*d^2*e^3 - 240*a^(3/2)*b^6*c^(3/2)*d^3*e^3 + 72*a^(5/2)*b^5*c^(1/2)*d^4*e^3 + 168
*a^(7/2)*b^4*c^(5/2)*d^2*f^3 + 144*a^(9/2)*b^3*c^(3/2)*d^3*f^3 - 120*a^(11/2)*b^2*c^(1/2)*d^4*f^3 - 96*a^(5/2)
*b^5*c^(7/2)*d*f^3 - 96*a^(1/2)*b^7*c^(7/2)*d*e^2*f + 192*a^(3/2)*b^6*c^(7/2)*d*e*f^2 + 672*a^(5/2)*b^5*c^(3/2
)*d^3*e^2*f - 288*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f - 240*a^(5/2)*b^5*c^(5/2)*d^2*e*f^2 - 576*a^(7/2)*b^4*c^(3/2)*
d^3*e*f^2 + 336*a^(9/2)*b^3*c^(1/2)*d^4*e*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2))*1i)/(f*(a*c*f^2 + b*
d*e^2 - a*d*e*f - b*c*e*f)^(1/2)))/((2048*(16*a*b^8*c^3*e^2 + 16*a^3*b^6*c^3*f^2 + 12*a^4*b^5*d^3*e^2 + 12*a^6
*b^3*d^3*f^2 - 32*a^2*b^7*c^3*e*f - 24*a^5*b^4*d^3*e*f - 52*a^2*b^7*c^2*d*e^2 + 24*a^3*b^6*c*d^2*e^2 - 52*a^4*
b^5*c^2*d*f^2 + 24*a^5*b^4*c*d^2*f^2 + 104*a^3*b^6*c^2*d*e*f - 48*a^4*b^5*c*d^2*e*f))/(d^12*e^6) - ((a*f - b*e
)*((1024*(16*a^(5/2)*b^6*c^(7/2)*f^3 + 48*a^(5/2)*b^6*c^(1/2)*d^3*e^3 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^3 + 48*a^
(1/2)*b^8*c^(5/2)*d*e^3 - 128*a^(7/2)*b^5*c^(5/2)*d*f^3 + 16*a^(1/2)*b^8*c^(7/2)*e^2*f - 32*a^(3/2)*b^7*c^(7/2
)*e*f^2 - 200*a^(3/2)*b^7*c^(5/2)*d*e^2*f + 280*a^(5/2)*b^6*c^(5/2)*d*e*f^2 - 32*a^(5/2)*b^6*c^(3/2)*d^2*e^2*f
- 72*a^(7/2)*b^5*c^(1/2)*d^3*e^2*f + 16*a^(7/2)*b^5*c^(3/2)*d^2*e*f^2 + 24*a^(9/2)*b^4*c^(1/2)*d^3*e*f^2))/(d
^12*e^6) + ((a*f - b*e)*((1024*(16*a^2*b^6*c^4*f^4 - 9*a^2*b^6*d^4*e^4 - 9*b^8*c^2*d^2*e^4 + 16*a^4*b^4*c^2*d^
2*f^4 - 29*a^4*b^4*d^4*e^2*f^2 + 18*a*b^7*c*d^3*e^4 - 16*a*b^7*c^4*e*f^3 + 12*b^8*c^3*d*e^3*f + 88*a^3*b^5*c^3
*d*f^4 + 24*a^5*b^3*c*d^3*f^4 + 30*a^3*b^5*d^4*e^3*f + 4*a^5*b^3*d^4*e*f^3 - 66*a*b^7*c^2*d^2*e^3*f + 68*a*b^7
*c^3*d*e^2*f^2 - 120*a^2*b^6*c*d^3*e^3*f - 164*a^2*b^6*c^3*d*e*f^3 - 84*a^4*b^4*c*d^3*e*f^3 + 174*a^3*b^5*c*d^
3*e^2*f^2 - 172*a^3*b^5*c^2*d^2*e*f^3 + 219*a^2*b^6*c^2*d^2*e^2*f^2))/(d^12*e^6) - ((a*f - b*e)*((1024*(16*a^(
3/2)*b^6*c^(9/2)*f^5 - 16*a^(7/2)*b^4*c^(5/2)*d^2*f^5 - 16*a^(1/2)*b^7*c^(9/2)*e*f^4 + 8*a^(3/2)*b^6*c^(7/2)*d
*e*f^4 - 8*a^(1/2)*b^7*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^5*c^(5/2)*d^2*e*f^4 + 40*a^(7/2)*b^4*c^(3/2)*d^3*e*f^4
+ 30*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f^
2 + 18*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^3 + 20*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^3 - 30*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f
^3))/(d^12*e^6) + ((a*f - b*e)*((1024*(24*a^3*b^4*c^3*d^2*f^6 + 12*a^4*b^3*c^2*d^3*f^6 - 9*a^2*b^5*d^5*e^4*f^2
+ 24*a^3*b^4*d^5*e^3*f^3 - 16*a^4*b^3*d^5*e^2*f^4 - 9*b^7*c^2*d^3*e^4*f^2 + 24*b^7*c^3*d^2*e^3*f^3 + 12*a^2*b
^5*c^4*d*f^6 - 16*b^7*c^4*d*e^2*f^4 + 18*a*b^6*c*d^4*e^4*f^2 + 4*a^4*b^3*c*d^4*e*f^5 - 48*a*b^6*c^2*d^3*e^3*f^
3 + 29*a*b^6*c^3*d^2*e^2*f^4 - 48*a^2*b^5*c*d^4*e^3*f^3 - 76*a^2*b^5*c^3*d^2*e*f^5 + 29*a^3*b^4*c*d^4*e^2*f^4
- 76*a^3*b^4*c^2*d^3*e*f^5 + 4*a*b^6*c^4*d*e*f^5 + 118*a^2*b^5*c^2*d^3*e^2*f^4))/(d^12*e^6) + (1024*((a + b*x)
^(1/2) - a^(1/2))^2*(12*a^2*b^4*c^4*d^2*f^6 - 40*a^3*b^3*c^3*d^3*f^6 + 12*a^4*b^2*c^2*d^4*f^6 + 9*a^2*b^4*d^6*
e^4*f^2 - 42*a^3*b^3*d^6*e^3*f^3 + 64*a^4*b^2*d^6*e^2*f^4 + 9*b^6*c^2*d^4*e^4*f^2 - 42*b^6*c^3*d^3*e^3*f^3 + 6
4*b^6*c^4*d^2*e^2*f^4 + 32*a*b^5*c^5*d*f^6 + 32*a^5*b*c*d^5*f^6 - 32*a^5*b*d^6*e*f^5 - 32*b^6*c^5*d*e*f^5 - 18
*a*b^5*c*d^5*e^4*f^2 - 76*a*b^5*c^4*d^2*e*f^5 - 76*a^4*b^2*c*d^5*e*f^5 + 18*a*b^5*c^2*d^4*e^3*f^3 + 47*a*b^5*c
^3*d^3*e^2*f^4 + 18*a^2*b^4*c*d^5*e^3*f^3 + 36*a^2*b^4*c^3*d^3*e*f^5 + 47*a^3*b^3*c*d^5*e^2*f^4 + 36*a^3*b^3*c
^2*d^4*e*f^5 - 78*a^2*b^4*c^2*d^4*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2)
- a^(1/2))*(12*a^(5/2)*b^4*c^(7/2)*d^2*f^6 + 12*a^(7/2)*b^3*c^(5/2)*d^3*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^4*f^6 -
36*a^(3/2)*b^5*c^(9/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*d*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d^2*e*f^5 - 20*a^(5/2)
*b^4*c^(5/2)*d^3*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^4*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^5*e*f^5 + 24*a^(1/2)*b^6*
c^(5/2)*d^3*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^3 - 59*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^4 - 13*a^(3/2)*b^5
*c^(5/2)*d^3*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^4))/(d^12*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*((a + b*x)^(1/2) - a^(1/
2))^2*(40*a^(5/2)*b^4*c^(7/2)*d^2*f^5 + 176*a^(7/2)*b^3*c^(5/2)*d^3*f^5 - 120*a^(9/2)*b^2*c^(3/2)*d^4*f^5 - 96
*a^(3/2)*b^5*c^(9/2)*d*f^5 + 96*a^(1/2)*b^6*c^(9/2)*d*e*f^4 + 152*a^(3/2)*b^5*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*
b^4*c^(5/2)*d^3*e*f^4 + 40*a^(7/2)*b^3*c^(3/2)*d^4*e*f^4 + 120*a^(9/2)*b^2*c^(1/2)*d^5*e*f^4 + 90*a^(1/2)*b^6*
c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^5*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^2 - 192*a^(1/2)*b
^6*c^(7/2)*d^2*e^2*f^3 + 142*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^3 + 260*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^3 - 210*a^(7/
2)*b^3*c^(1/2)*d^5*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) - (2048*((a + b*x)^(1/2) - a^(1/2))*(16*
a*b^6*c^5*f^5 - 16*b^7*c^5*e*f^4 - 116*a^3*b^4*c^3*d^2*f^5 + 20*a^4*b^3*c^2*d^3*f^5 - 15*a^3*b^4*d^5*e^3*f^2 +
35*a^4*b^3*d^5*e^2*f^3 - 15*b^7*c^3*d^2*e^3*f^2 + 60*a^2*b^5*c^4*d*f^5 + 20*a^5*b^2*c*d^4*f^5 - 20*a^5*b^2*d^
5*e*f^4 + 32*b^7*c^4*d*e^2*f^3 - 60*a^4*b^3*c*d^4*e*f^4 + 15*a*b^6*c^2*d^3*e^3*f^2 + 63*a*b^6*c^3*d^2*e^2*f^3
+ 15*a^2*b^5*c*d^4*e^3*f^2 + 68*a^2*b^5*c^3*d^2*e*f^4 + 25*a^3*b^4*c*d^4*e^2*f^3 + 120*a^3*b^4*c^2*d^3*e*f^4 -
92*a*b^6*c^4*d*e*f^4 - 155*a^2*b^5*c^2*d^3*e^2*f^3))/(d^12*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))*(4*a^(9/2)*b^3*c^(3/2)*d^3*f^4 - 52*a^(
7/2)*b^4*c^(5/2)*d^2*f^4 - 32*a^(3/2)*b^6*c^(9/2)*f^4 - 36*a^(11/2)*b^2*c^(1/2)*d^4*f^4 - 28*a^(5/2)*b^5*c^(7/
2)*d*f^4 + 32*a^(1/2)*b^7*c^(9/2)*e*f^3 + 112*a^(3/2)*b^6*c^(7/2)*d*e*f^3 + 42*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f +
60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f + 42*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f - 88*a^(1/2)*b^7*c^(7/2)*d*e^2*f^2 + 130*
a^(5/2)*b^5*c^(5/2)*d^2*e*f^3 + 44*a^(7/2)*b^4*c^(3/2)*d^3*e*f^3 + 114*a^(9/2)*b^3*c^(1/2)*d^4*e*f^3 - 108*a^(
3/2)*b^6*c^(5/2)*d^2*e^2*f^2 - 120*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^2 - 116*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^2))/(d^
12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*b^7*c^5*e*f^3 - 32*a^6*b*d^5*f^4
- 64*a*b^6*c^5*f^4 - 9*a^2*b^5*d^5*e^4 - 9*b^7*c^2*d^3*e^4 - 272*a^3*b^4*c^3*d^2*f^4 + 144*a^4*b^3*c^2*d^3*f^
4 - 141*a^4*b^3*d^5*e^2*f^2 + 18*a*b^6*c*d^4*e^4 + 128*a^2*b^5*c^4*d*f^4 - 48*a^5*b^2*c*d^4*f^4 + 54*a^3*b^4*d
^5*e^3*f + 132*a^5*b^2*d^5*e*f^3 + 36*b^7*c^3*d^2*e^3*f - 96*b^7*c^4*d*e^2*f^2 + 54*a*b^6*c^2*d^3*e^3*f - 36*a
^4*b^3*c*d^4*e*f^3 + 12*a*b^6*c^3*d^2*e^2*f^2 + 220*a^2*b^5*c^3*d^2*e*f^3 + 54*a^3*b^4*c*d^4*e^2*f^2 + 84*a^3*
b^4*c^2*d^3*e*f^3 - 32*a*b^6*c^4*d*e*f^3 - 261*a^2*b^5*c^2*d^3*e^2*f^2))/(d^12*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))*(12*b^8*c^3*d*e^3
- 16*b^8*c^4*e^2*f - 16*a^2*b^6*c^4*f^3 + 12*a^3*b^5*d^4*e^3 - 20*a^6*b^2*d^4*f^3 + 164*a^4*b^4*c^2*d^2*f^3 +
32*a*b^7*c^4*e*f^2 - 60*a*b^7*c^2*d^2*e^3 - 60*a^2*b^6*c*d^3*e^3 + 4*a^3*b^5*c^3*d*f^3 - 36*a^5*b^3*c*d^3*f^3
- 48*a^4*b^4*d^4*e^2*f + 56*a^5*b^3*d^4*e*f^2 + 24*a^2*b^6*c^3*d*e*f^2 + 72*a^3*b^5*c*d^3*e^2*f + 24*a^4*b^4*c
*d^3*e*f^2 + 320*a^2*b^6*c^2*d^2*e^2*f - 424*a^3*b^5*c^2*d^2*e*f^2 - 40*a*b^7*c^3*d*e^2*f))/(d^12*e^6*((c + d*
x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^7*c^(5/2)*d^2*e^3 - 240*a^(3/2)*b^6*c
^(3/2)*d^3*e^3 + 72*a^(5/2)*b^5*c^(1/2)*d^4*e^3 + 168*a^(7/2)*b^4*c^(5/2)*d^2*f^3 + 144*a^(9/2)*b^3*c^(3/2)*d^
3*f^3 - 120*a^(11/2)*b^2*c^(1/2)*d^4*f^3 - 96*a^(5/2)*b^5*c^(7/2)*d*f^3 - 96*a^(1/2)*b^7*c^(7/2)*d*e^2*f + 192
*a^(3/2)*b^6*c^(7/2)*d*e*f^2 + 672*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f - 288*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f - 240*a^(
5/2)*b^5*c^(5/2)*d^2*e*f^2 - 576*a^(7/2)*b^4*c^(3/2)*d^3*e*f^2 + 336*a^(9/2)*b^3*c^(1/2)*d^4*e*f^2))/(d^12*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)) + ((a*f - b*e)*((1024*(16*
a^(5/2)*b^6*c^(7/2)*f^3 + 48*a^(5/2)*b^6*c^(1/2)*d^3*e^3 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^3 + 48*a^(1/2)*b^8*c^(
5/2)*d*e^3 - 128*a^(7/2)*b^5*c^(5/2)*d*f^3 + 16*a^(1/2)*b^8*c^(7/2)*e^2*f - 32*a^(3/2)*b^7*c^(7/2)*e*f^2 - 200
*a^(3/2)*b^7*c^(5/2)*d*e^2*f + 280*a^(5/2)*b^6*c^(5/2)*d*e*f^2 - 32*a^(5/2)*b^6*c^(3/2)*d^2*e^2*f - 72*a^(7/2)
*b^5*c^(1/2)*d^3*e^2*f + 16*a^(7/2)*b^5*c^(3/2)*d^2*e*f^2 + 24*a^(9/2)*b^4*c^(1/2)*d^3*e*f^2))/(d^12*e^6) - ((
a*f - b*e)*((1024*(16*a^2*b^6*c^4*f^4 - 9*a^2*b^6*d^4*e^4 - 9*b^8*c^2*d^2*e^4 + 16*a^4*b^4*c^2*d^2*f^4 - 29*a^
4*b^4*d^4*e^2*f^2 + 18*a*b^7*c*d^3*e^4 - 16*a*b^7*c^4*e*f^3 + 12*b^8*c^3*d*e^3*f + 88*a^3*b^5*c^3*d*f^4 + 24*a
^5*b^3*c*d^3*f^4 + 30*a^3*b^5*d^4*e^3*f + 4*a^5*b^3*d^4*e*f^3 - 66*a*b^7*c^2*d^2*e^3*f + 68*a*b^7*c^3*d*e^2*f^
2 - 120*a^2*b^6*c*d^3*e^3*f - 164*a^2*b^6*c^3*d*e*f^3 - 84*a^4*b^4*c*d^3*e*f^3 + 174*a^3*b^5*c*d^3*e^2*f^2 - 1
72*a^3*b^5*c^2*d^2*e*f^3 + 219*a^2*b^6*c^2*d^2*e^2*f^2))/(d^12*e^6) - ((a*f - b*e)*(((a*f - b*e)*((1024*(24*a^
3*b^4*c^3*d^2*f^6 + 12*a^4*b^3*c^2*d^3*f^6 - 9*a^2*b^5*d^5*e^4*f^2 + 24*a^3*b^4*d^5*e^3*f^3 - 16*a^4*b^3*d^5*e
^2*f^4 - 9*b^7*c^2*d^3*e^4*f^2 + 24*b^7*c^3*d^2*e^3*f^3 + 12*a^2*b^5*c^4*d*f^6 - 16*b^7*c^4*d*e^2*f^4 + 18*a*b
^6*c*d^4*e^4*f^2 + 4*a^4*b^3*c*d^4*e*f^5 - 48*a*b^6*c^2*d^3*e^3*f^3 + 29*a*b^6*c^3*d^2*e^2*f^4 - 48*a^2*b^5*c*
d^4*e^3*f^3 - 76*a^2*b^5*c^3*d^2*e*f^5 + 29*a^3*b^4*c*d^4*e^2*f^4 - 76*a^3*b^4*c^2*d^3*e*f^5 + 4*a*b^6*c^4*d*e
*f^5 + 118*a^2*b^5*c^2*d^3*e^2*f^4))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(12*a^2*b^4*c^4*d^2*f^6
- 40*a^3*b^3*c^3*d^3*f^6 + 12*a^4*b^2*c^2*d^4*f^6 + 9*a^2*b^4*d^6*e^4*f^2 - 42*a^3*b^3*d^6*e^3*f^3 + 64*a^4*b^
2*d^6*e^2*f^4 + 9*b^6*c^2*d^4*e^4*f^2 - 42*b^6*c^3*d^3*e^3*f^3 + 64*b^6*c^4*d^2*e^2*f^4 + 32*a*b^5*c^5*d*f^6 +
32*a^5*b*c*d^5*f^6 - 32*a^5*b*d^6*e*f^5 - 32*b^6*c^5*d*e*f^5 - 18*a*b^5*c*d^5*e^4*f^2 - 76*a*b^5*c^4*d^2*e*f^
5 - 76*a^4*b^2*c*d^5*e*f^5 + 18*a*b^5*c^2*d^4*e^3*f^3 + 47*a*b^5*c^3*d^3*e^2*f^4 + 18*a^2*b^4*c*d^5*e^3*f^3 +
36*a^2*b^4*c^3*d^3*e*f^5 + 47*a^3*b^3*c*d^5*e^2*f^4 + 36*a^3*b^3*c^2*d^4*e*f^5 - 78*a^2*b^4*c^2*d^4*e^2*f^4))/
(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(5/2)*b^4*c^(7/2)*d^2*f^6 +
12*a^(7/2)*b^3*c^(5/2)*d^3*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^4*f^6 - 36*a^(3/2)*b^5*c^(9/2)*d*f^6 + 36*a^(1/2)*b
^6*c^(9/2)*d*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d^2*e*f^5 - 20*a^(5/2)*b^4*c^(5/2)*d^3*e*f^5 + 46*a^(7/2)*b^3*c^(3
/2)*d^4*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^5*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)
*d^5*e^3*f^3 - 59*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^4 - 13*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2
)*d^4*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^4))/(d^12*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^(3/2)*b^6*c^(9/2)*f^5 - 16*a^(7/2)*b^4*c^(5/2)*d^2*f^5 - 16*a^
(1/2)*b^7*c^(9/2)*e*f^4 + 8*a^(3/2)*b^6*c^(7/2)*d*e*f^4 - 8*a^(1/2)*b^7*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^5*c^(
5/2)*d^2*e*f^4 + 40*a^(7/2)*b^4*c^(3/2)*d^3*e*f^4 + 30*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^6*c^(3/2
)*d^3*e^3*f^2 + 30*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f^2 + 18*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^3 + 20*a^(5/2)*b^5*c^(3/
2)*d^3*e^2*f^3 - 30*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^3))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(40*a^(
5/2)*b^4*c^(7/2)*d^2*f^5 + 176*a^(7/2)*b^3*c^(5/2)*d^3*f^5 - 120*a^(9/2)*b^2*c^(3/2)*d^4*f^5 - 96*a^(3/2)*b^5*
c^(9/2)*d*f^5 + 96*a^(1/2)*b^6*c^(9/2)*d*e*f^4 + 152*a^(3/2)*b^5*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^4*c^(5/2)*d
^3*e*f^4 + 40*a^(7/2)*b^3*c^(3/2)*d^4*e*f^4 + 120*a^(9/2)*b^2*c^(1/2)*d^5*e*f^4 + 90*a^(1/2)*b^6*c^(5/2)*d^3*e
^3*f^2 - 180*a^(3/2)*b^5*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^2 - 192*a^(1/2)*b^6*c^(7/2)*d^
2*e^2*f^3 + 142*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^3 + 260*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^3 - 210*a^(7/2)*b^3*c^(1/2
)*d^5*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(16*a*b^6*c^5*f^5
- 16*b^7*c^5*e*f^4 - 116*a^3*b^4*c^3*d^2*f^5 + 20*a^4*b^3*c^2*d^3*f^5 - 15*a^3*b^4*d^5*e^3*f^2 + 35*a^4*b^3*d
^5*e^2*f^3 - 15*b^7*c^3*d^2*e^3*f^2 + 60*a^2*b^5*c^4*d*f^5 + 20*a^5*b^2*c*d^4*f^5 - 20*a^5*b^2*d^5*e*f^4 + 32*
b^7*c^4*d*e^2*f^3 - 60*a^4*b^3*c*d^4*e*f^4 + 15*a*b^6*c^2*d^3*e^3*f^2 + 63*a*b^6*c^3*d^2*e^2*f^3 + 15*a^2*b^5*
c*d^4*e^3*f^2 + 68*a^2*b^5*c^3*d^2*e*f^4 + 25*a^3*b^4*c*d^4*e^2*f^3 + 120*a^3*b^4*c^2*d^3*e*f^4 - 92*a*b^6*c^4
*d*e*f^4 - 155*a^2*b^5*c^2*d^3*e^2*f^3))/(d^12*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))*(4*a^(9/2)*b^3*c^(3/2)*d^3*f^4 - 52*a^(7/2)*b^4*c^(5
/2)*d^2*f^4 - 32*a^(3/2)*b^6*c^(9/2)*f^4 - 36*a^(11/2)*b^2*c^(1/2)*d^4*f^4 - 28*a^(5/2)*b^5*c^(7/2)*d*f^4 + 32
*a^(1/2)*b^7*c^(9/2)*e*f^3 + 112*a^(3/2)*b^6*c^(7/2)*d*e*f^3 + 42*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f + 60*a^(3/2)*b
^6*c^(3/2)*d^3*e^3*f + 42*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f - 88*a^(1/2)*b^7*c^(7/2)*d*e^2*f^2 + 130*a^(5/2)*b^5*c
^(5/2)*d^2*e*f^3 + 44*a^(7/2)*b^4*c^(3/2)*d^3*e*f^3 + 114*a^(9/2)*b^3*c^(1/2)*d^4*e*f^3 - 108*a^(3/2)*b^6*c^(5
/2)*d^2*e^2*f^2 - 120*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^2 - 116*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^2))/(d^12*e^6*((c +
d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*b^7*c^5*e*f^3 - 32*a^6*b*d^5*f^4 - 64*a*b^6*c
^5*f^4 - 9*a^2*b^5*d^5*e^4 - 9*b^7*c^2*d^3*e^4 - 272*a^3*b^4*c^3*d^2*f^4 + 144*a^4*b^3*c^2*d^3*f^4 - 141*a^4*b
^3*d^5*e^2*f^2 + 18*a*b^6*c*d^4*e^4 + 128*a^2*b^5*c^4*d*f^4 - 48*a^5*b^2*c*d^4*f^4 + 54*a^3*b^4*d^5*e^3*f + 13
2*a^5*b^2*d^5*e*f^3 + 36*b^7*c^3*d^2*e^3*f - 96*b^7*c^4*d*e^2*f^2 + 54*a*b^6*c^2*d^3*e^3*f - 36*a^4*b^3*c*d^4*
e*f^3 + 12*a*b^6*c^3*d^2*e^2*f^2 + 220*a^2*b^5*c^3*d^2*e*f^3 + 54*a^3*b^4*c*d^4*e^2*f^2 + 84*a^3*b^4*c^2*d^3*e
*f^3 - 32*a*b^6*c^4*d*e*f^3 - 261*a^2*b^5*c^2*d^3*e^2*f^2))/(d^12*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))*(12*b^8*c^3*d*e^3 - 16*b^8*c^4*
e^2*f - 16*a^2*b^6*c^4*f^3 + 12*a^3*b^5*d^4*e^3 - 20*a^6*b^2*d^4*f^3 + 164*a^4*b^4*c^2*d^2*f^3 + 32*a*b^7*c^4*
e*f^2 - 60*a*b^7*c^2*d^2*e^3 - 60*a^2*b^6*c*d^3*e^3 + 4*a^3*b^5*c^3*d*f^3 - 36*a^5*b^3*c*d^3*f^3 - 48*a^4*b^4*
d^4*e^2*f + 56*a^5*b^3*d^4*e*f^2 + 24*a^2*b^6*c^3*d*e*f^2 + 72*a^3*b^5*c*d^3*e^2*f + 24*a^4*b^4*c*d^3*e*f^2 +
320*a^2*b^6*c^2*d^2*e^2*f - 424*a^3*b^5*c^2*d^2*e*f^2 - 40*a*b^7*c^3*d*e^2*f))/(d^12*e^6*((c + d*x)^(1/2) - c^
(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^7*c^(5/2)*d^2*e^3 - 240*a^(3/2)*b^6*c^(3/2)*d^3*e^
3 + 72*a^(5/2)*b^5*c^(1/2)*d^4*e^3 + 168*a^(7/2)*b^4*c^(5/2)*d^2*f^3 + 144*a^(9/2)*b^3*c^(3/2)*d^3*f^3 - 120*a
^(11/2)*b^2*c^(1/2)*d^4*f^3 - 96*a^(5/2)*b^5*c^(7/2)*d*f^3 - 96*a^(1/2)*b^7*c^(7/2)*d*e^2*f + 192*a^(3/2)*b^6*
c^(7/2)*d*e*f^2 + 672*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f - 288*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f - 240*a^(5/2)*b^5*c^(5
/2)*d^2*e*f^2 - 576*a^(7/2)*b^4*c^(3/2)*d^3*e*f^2 + 336*a^(9/2)*b^3*c^(1/2)*d^4*e*f^2))/(d^12*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)) - (4096*((a + b*x)^(1/2) - a^(1/2))*(32
*a^(1/2)*b^8*c^(7/2)*e^2 + 32*a^(5/2)*b^6*c^(7/2)*f^2 + 16*a^(5/2)*b^6*c^(3/2)*d^2*e^2 + 24*a^(7/2)*b^5*c^(1/2
)*d^3*e^2 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^2 + 24*a^(11/2)*b^3*c^(1/2)*d^3*f^2 - 64*a^(3/2)*b^7*c^(7/2)*e*f - 72
*a^(3/2)*b^7*c^(5/2)*d*e^2 - 72*a^(7/2)*b^5*c^(5/2)*d*f^2 - 32*a^(7/2)*b^5*c^(3/2)*d^2*e*f - 48*a^(9/2)*b^4*c^
(1/2)*d^3*e*f + 144*a^(5/2)*b^6*c^(5/2)*d*e*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) + (2048*((a + b*x)^(1/2
) - a^(1/2))^2*(64*b^8*c^4*e^2 + 64*a^2*b^6*c^4*f^2 + 36*a^4*b^4*d^4*e^2 + 36*a^6*b^2*d^4*f^2 - 128*a*b^7*c^4*
e*f + 132*a^2*b^6*c^2*d^2*e^2 + 132*a^4*b^4*c^2*d^2*f^2 - 160*a*b^7*c^3*d*e^2 - 72*a^5*b^3*d^4*e*f - 72*a^3*b^
5*c*d^3*e^2 - 160*a^3*b^5*c^3*d*f^2 - 72*a^5*b^3*c*d^3*f^2 - 264*a^3*b^5*c^2*d^2*e*f + 320*a^2*b^6*c^3*d*e*f +
144*a^4*b^4*c*d^3*e*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))*(a*f - b*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 \[ \int \frac {\sqrt {a + b x}}{\sqrt {c + d x} \left (e + f x\right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((b*x+a)**(1/2)/(f*x+e)/(d*x+c)**(1/2),x)
[Out]
Integral(sqrt(a + b*x)/(sqrt(c + d*x)*(e + f*x)), x)
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