\(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{10}} \, dx\) [2207]
Optimal result
Integrand size = 44, antiderivative size = 285 \[
\int \frac {(f+g x) \left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^{10}} \, dx=-\frac {2 (e f-d g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{13 e^2 (2 c d-b e) (d+e x)^{10}}-\frac {2 (6 c e f+20 c d g-13 b e g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{143 e^2 (2 c d-b e)^2 (d+e x)^9}-\frac {8 c (6 c e f+20 c d g-13 b e g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{1287 e^2 (2 c d-b e)^3 (d+e x)^8}-\frac {16 c^2 (6 c e f+20 c d g-13 b e g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{9009 e^2 (2 c d-b e)^4 (d+e x)^7}
\]
[Out]
-2/13*(-d*g+e*f)*(d*(-b*e+c*d)-b*e^2*x-c*e^2*x^2)^(7/2)/e^2/(-b*e+2*c*d)/(e*x+d)^10-2/143*(-13*b*e*g+20*c*d*g+
6*c*e*f)*(d*(-b*e+c*d)-b*e^2*x-c*e^2*x^2)^(7/2)/e^2/(-b*e+2*c*d)^2/(e*x+d)^9-8/1287*c*(-13*b*e*g+20*c*d*g+6*c*
e*f)*(d*(-b*e+c*d)-b*e^2*x-c*e^2*x^2)^(7/2)/e^2/(-b*e+2*c*d)^3/(e*x+d)^8-16/9009*c^2*(-13*b*e*g+20*c*d*g+6*c*e
*f)*(d*(-b*e+c*d)-b*e^2*x-c*e^2*x^2)^(7/2)/e^2/(-b*e+2*c*d)^4/(e*x+d)^7
Rubi [A] (verified)
Time = 0.28 (sec) , antiderivative size = 285, normalized size of antiderivative = 1.00, number of
steps used = 4, number of rules used = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.068, Rules used = {806, 672, 664}
\[
\int \frac {(f+g x) \left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^{10}} \, dx=-\frac {16 c^2 \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2} (-13 b e g+20 c d g+6 c e f)}{9009 e^2 (d+e x)^7 (2 c d-b e)^4}-\frac {8 c \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2} (-13 b e g+20 c d g+6 c e f)}{1287 e^2 (d+e x)^8 (2 c d-b e)^3}-\frac {2 \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2} (-13 b e g+20 c d g+6 c e f)}{143 e^2 (d+e x)^9 (2 c d-b e)^2}-\frac {2 (e f-d g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{13 e^2 (d+e x)^{10} (2 c d-b e)}
\]
[In]
Int[((f + g*x)*(c*d^2 - b*d*e - b*e^2*x - c*e^2*x^2)^(5/2))/(d + e*x)^10,x]
[Out]
(-2*(e*f - d*g)*(d*(c*d - b*e) - b*e^2*x - c*e^2*x^2)^(7/2))/(13*e^2*(2*c*d - b*e)*(d + e*x)^10) - (2*(6*c*e*f
+ 20*c*d*g - 13*b*e*g)*(d*(c*d - b*e) - b*e^2*x - c*e^2*x^2)^(7/2))/(143*e^2*(2*c*d - b*e)^2*(d + e*x)^9) - (
8*c*(6*c*e*f + 20*c*d*g - 13*b*e*g)*(d*(c*d - b*e) - b*e^2*x - c*e^2*x^2)^(7/2))/(1287*e^2*(2*c*d - b*e)^3*(d
+ e*x)^8) - (16*c^2*(6*c*e*f + 20*c*d*g - 13*b*e*g)*(d*(c*d - b*e) - b*e^2*x - c*e^2*x^2)^(7/2))/(9009*e^2*(2*
c*d - b*e)^4*(d + e*x)^7)
Rule 664
Int[((d_.) + (e_.)*(x_))^(m_)*((a_.) + (b_.)*(x_) + (c_.)*(x_)^2)^(p_), x_Symbol] :> Simp[e*(d + e*x)^m*((a +
b*x + c*x^2)^(p + 1)/((p + 1)*(2*c*d - b*e))), x] /; FreeQ[{a, b, c, d, e, m, p}, x] && NeQ[b^2 - 4*a*c, 0] &&
EqQ[c*d^2 - b*d*e + a*e^2, 0] && !IntegerQ[p] && EqQ[m + 2*p + 2, 0]
Rule 672
Int[((d_.) + (e_.)*(x_))^(m_)*((a_.) + (b_.)*(x_) + (c_.)*(x_)^2)^(p_), x_Symbol] :> Simp[(-e)*(d + e*x)^m*((a
+ b*x + c*x^2)^(p + 1)/((m + p + 1)*(2*c*d - b*e))), x] + Dist[c*(Simplify[m + 2*p + 2]/((m + p + 1)*(2*c*d -
b*e))), Int[(d + e*x)^(m + 1)*(a + b*x + c*x^2)^p, x], x] /; FreeQ[{a, b, c, d, e, m, p}, x] && NeQ[b^2 - 4*a
*c, 0] && EqQ[c*d^2 - b*d*e + a*e^2, 0] && !IntegerQ[p] && ILtQ[Simplify[m + 2*p + 2], 0]
Rule 806
Int[((d_.) + (e_.)*(x_))^(m_)*((f_.) + (g_.)*(x_))*((a_.) + (b_.)*(x_) + (c_.)*(x_)^2)^(p_), x_Symbol] :> Simp
[(d*g - e*f)*(d + e*x)^m*((a + b*x + c*x^2)^(p + 1)/((2*c*d - b*e)*(m + p + 1))), x] + Dist[(m*(g*(c*d - b*e)
+ c*e*f) + e*(p + 1)*(2*c*f - b*g))/(e*(2*c*d - b*e)*(m + p + 1)), Int[(d + e*x)^(m + 1)*(a + b*x + c*x^2)^p,
x], x] /; FreeQ[{a, b, c, d, e, f, g, m, p}, x] && NeQ[b^2 - 4*a*c, 0] && EqQ[c*d^2 - b*d*e + a*e^2, 0] && ((L
tQ[m, -1] && !IGtQ[m + p + 1, 0]) || (LtQ[m, 0] && LtQ[p, -1]) || EqQ[m + 2*p + 2, 0]) && NeQ[m + p + 1, 0]
Rubi steps \begin{align*}
\text {integral}& = -\frac {2 (e f-d g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{13 e^2 (2 c d-b e) (d+e x)^{10}}+\frac {(6 c e f+20 c d g-13 b e g) \int \frac {\left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^9} \, dx}{13 e (2 c d-b e)} \\ & = -\frac {2 (e f-d g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{13 e^2 (2 c d-b e) (d+e x)^{10}}-\frac {2 (6 c e f+20 c d g-13 b e g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{143 e^2 (2 c d-b e)^2 (d+e x)^9}+\frac {(4 c (6 c e f+20 c d g-13 b e g)) \int \frac {\left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^8} \, dx}{143 e (2 c d-b e)^2} \\ & = -\frac {2 (e f-d g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{13 e^2 (2 c d-b e) (d+e x)^{10}}-\frac {2 (6 c e f+20 c d g-13 b e g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{143 e^2 (2 c d-b e)^2 (d+e x)^9}-\frac {8 c (6 c e f+20 c d g-13 b e g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{1287 e^2 (2 c d-b e)^3 (d+e x)^8}+\frac {\left (8 c^2 (6 c e f+20 c d g-13 b e g)\right ) \int \frac {\left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^7} \, dx}{1287 e (2 c d-b e)^3} \\ & = -\frac {2 (e f-d g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{13 e^2 (2 c d-b e) (d+e x)^{10}}-\frac {2 (6 c e f+20 c d g-13 b e g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{143 e^2 (2 c d-b e)^2 (d+e x)^9}-\frac {8 c (6 c e f+20 c d g-13 b e g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{1287 e^2 (2 c d-b e)^3 (d+e x)^8}-\frac {16 c^2 (6 c e f+20 c d g-13 b e g) \left (d (c d-b e)-b e^2 x-c e^2 x^2\right )^{7/2}}{9009 e^2 (2 c d-b e)^4 (d+e x)^7} \\
\end{align*}
Mathematica [A] (verified)
Time = 0.33 (sec) , antiderivative size = 250, normalized size of antiderivative = 0.88
\[
\int \frac {(f+g x) \left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^{10}} \, dx=\frac {2 (-c d+b e+c e x)^3 \sqrt {(d+e x) (-b e+c (d-e x))} \left (-63 b^3 e^3 (11 e f+2 d g+13 e g x)+14 b^2 c e^2 \left (53 d^2 g+e^2 x (27 f+26 g x)+4 d e (81 f+94 g x)\right )+8 c^3 \left (97 d^4 g+6 e^4 f x^3+20 d e^3 x^2 (3 f+g x)+10 d^3 e (93 f+97 g x)+d^2 e^2 x (291 f+200 g x)\right )-4 b c^2 e \left (348 d^3 g+2 e^3 x^2 (21 f+13 g x)+2 d e^2 x (231 f+200 g x)+d^2 e (2499 f+2801 g x)\right )\right )}{9009 e^2 (-2 c d+b e)^4 (d+e x)^7}
\]
[In]
Integrate[((f + g*x)*(c*d^2 - b*d*e - b*e^2*x - c*e^2*x^2)^(5/2))/(d + e*x)^10,x]
[Out]
(2*(-(c*d) + b*e + c*e*x)^3*Sqrt[(d + e*x)*(-(b*e) + c*(d - e*x))]*(-63*b^3*e^3*(11*e*f + 2*d*g + 13*e*g*x) +
14*b^2*c*e^2*(53*d^2*g + e^2*x*(27*f + 26*g*x) + 4*d*e*(81*f + 94*g*x)) + 8*c^3*(97*d^4*g + 6*e^4*f*x^3 + 20*d
*e^3*x^2*(3*f + g*x) + 10*d^3*e*(93*f + 97*g*x) + d^2*e^2*x*(291*f + 200*g*x)) - 4*b*c^2*e*(348*d^3*g + 2*e^3*
x^2*(21*f + 13*g*x) + 2*d*e^2*x*(231*f + 200*g*x) + d^2*e*(2499*f + 2801*g*x))))/(9009*e^2*(-2*c*d + b*e)^4*(d
+ e*x)^7)
Maple [A] (verified)
Time = 12.41 (sec) , antiderivative size = 382, normalized size of antiderivative =
1.34
| | |
method | result | size |
| | |
gosper |
\(-\frac {2 \left (x c e +b e -c d \right ) \left (104 b \,c^{2} e^{4} g \,x^{3}-160 c^{3} d \,e^{3} g \,x^{3}-48 c^{3} e^{4} f \,x^{3}-364 b^{2} c \,e^{4} g \,x^{2}+1600 b \,c^{2} d \,e^{3} g \,x^{2}+168 b \,c^{2} e^{4} f \,x^{2}-1600 c^{3} d^{2} e^{2} g \,x^{2}-480 c^{3} d \,e^{3} f \,x^{2}+819 b^{3} e^{4} g x -5264 b^{2} c d \,e^{3} g x -378 b^{2} c \,e^{4} f x +11204 b \,c^{2} d^{2} e^{2} g x +1848 b \,c^{2} d \,e^{3} f x -7760 c^{3} d^{3} e g x -2328 c^{3} d^{2} e^{2} f x +126 b^{3} d \,e^{3} g +693 b^{3} e^{4} f -742 b^{2} c \,d^{2} e^{2} g -4536 b^{2} c d \,e^{3} f +1392 b \,c^{2} d^{3} e g +9996 b \,c^{2} d^{2} e^{2} f -776 c^{3} d^{4} g -7440 c^{3} d^{3} e f \right ) \left (-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}\right )^{\frac {5}{2}}}{9009 \left (e x +d \right )^{9} e^{2} \left (b^{4} e^{4}-8 b^{3} c d \,e^{3}+24 b^{2} c^{2} d^{2} e^{2}-32 b \,c^{3} d^{3} e +16 c^{4} d^{4}\right )}\) |
\(382\) |
default |
\(\frac {g \left (-\frac {2 \left (-c \,e^{2} \left (x +\frac {d}{e}\right )^{2}+\left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )\right )^{\frac {7}{2}}}{11 \left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )^{9}}+\frac {4 c \,e^{2} \left (-\frac {2 \left (-c \,e^{2} \left (x +\frac {d}{e}\right )^{2}+\left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )\right )^{\frac {7}{2}}}{9 \left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )^{8}}-\frac {4 c \,e^{2} \left (-c \,e^{2} \left (x +\frac {d}{e}\right )^{2}+\left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )\right )^{\frac {7}{2}}}{63 \left (-b \,e^{2}+2 c d e \right )^{2} \left (x +\frac {d}{e}\right )^{7}}\right )}{11 \left (-b \,e^{2}+2 c d e \right )}\right )}{e^{10}}+\frac {\left (-d g +e f \right ) \left (-\frac {2 \left (-c \,e^{2} \left (x +\frac {d}{e}\right )^{2}+\left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )\right )^{\frac {7}{2}}}{13 \left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )^{10}}+\frac {6 c \,e^{2} \left (-\frac {2 \left (-c \,e^{2} \left (x +\frac {d}{e}\right )^{2}+\left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )\right )^{\frac {7}{2}}}{11 \left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )^{9}}+\frac {4 c \,e^{2} \left (-\frac {2 \left (-c \,e^{2} \left (x +\frac {d}{e}\right )^{2}+\left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )\right )^{\frac {7}{2}}}{9 \left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )^{8}}-\frac {4 c \,e^{2} \left (-c \,e^{2} \left (x +\frac {d}{e}\right )^{2}+\left (-b \,e^{2}+2 c d e \right ) \left (x +\frac {d}{e}\right )\right )^{\frac {7}{2}}}{63 \left (-b \,e^{2}+2 c d e \right )^{2} \left (x +\frac {d}{e}\right )^{7}}\right )}{11 \left (-b \,e^{2}+2 c d e \right )}\right )}{13 \left (-b \,e^{2}+2 c d e \right )}\right )}{e^{11}}\) |
\(533\) |
trager |
\(-\frac {2 \left (104 b \,c^{5} e^{7} g \,x^{6}-160 c^{6} d \,e^{6} g \,x^{6}-48 c^{6} e^{7} f \,x^{6}-52 b^{2} c^{4} e^{7} g \,x^{5}+808 b \,c^{5} d \,e^{6} g \,x^{5}+24 b \,c^{5} e^{7} f \,x^{5}-1120 c^{6} d^{2} e^{5} g \,x^{5}-336 c^{6} d \,e^{6} f \,x^{5}+39 b^{3} c^{3} e^{7} g \,x^{4}-476 b^{2} c^{4} d \,e^{6} g \,x^{4}-18 b^{2} c^{4} e^{7} f \,x^{4}+2876 b \,c^{5} d^{2} e^{5} g \,x^{4}+192 b \,c^{5} d \,e^{6} f \,x^{4}-3440 c^{6} d^{3} e^{4} g \,x^{4}-1032 c^{6} d^{2} e^{5} f \,x^{4}+1469 b^{4} c^{2} e^{7} g \,x^{3}-11611 b^{3} c^{3} d \,e^{6} g \,x^{3}+15 b^{3} c^{3} e^{7} f \,x^{3}+33962 b^{2} c^{4} d^{2} e^{5} g \,x^{3}-162 b^{2} c^{4} d \,e^{6} f \,x^{3}-41684 b \,c^{5} d^{3} e^{4} g \,x^{3}+708 b \,c^{5} d^{2} e^{5} f \,x^{3}+17864 c^{6} d^{4} e^{3} g \,x^{3}-1848 c^{6} d^{3} e^{4} f \,x^{3}+2093 b^{5} c \,e^{7} g \,x^{2}-17636 b^{4} c^{2} d \,e^{6} g \,x^{2}+1113 b^{4} c^{2} e^{7} f \,x^{2}+57557 b^{3} c^{3} d^{2} e^{5} g \,x^{2}-8859 b^{3} c^{3} d \,e^{6} f \,x^{2}-89930 b^{2} c^{4} d^{3} e^{4} g \,x^{2}+26334 b^{2} c^{4} d^{2} e^{5} f \,x^{2}+67268 b \,c^{5} d^{4} e^{3} g \,x^{2}-34404 b \,c^{5} d^{3} e^{4} f \,x^{2}-19352 c^{6} d^{5} e^{2} g \,x^{2}+15816 c^{6} d^{4} e^{3} f \,x^{2}+819 b^{6} e^{7} g x -7343 b^{5} c d \,e^{6} g x +1701 b^{5} c \,e^{7} f x +26471 b^{4} c^{2} d^{2} e^{5} g x -14784 b^{4} c^{2} d \,e^{6} f x -48977 b^{3} c^{3} d^{3} e^{4} g x +50277 b^{3} c^{3} d^{2} e^{5} f x +49250 b^{2} c^{4} d^{4} e^{3} g x -82998 b^{2} c^{4} d^{3} e^{4} f x -25652 b \,c^{5} d^{5} e^{2} g x +65796 b \,c^{5} d^{4} e^{3} f x +5432 c^{6} d^{6} e g x -19992 c^{6} d^{5} e^{2} f x +126 b^{6} d \,e^{6} g +693 b^{6} e^{7} f -1120 b^{5} c \,d^{2} e^{5} g -6615 b^{5} c d \,e^{6} f +3996 b^{4} c^{2} d^{3} e^{4} g +25683 b^{4} c^{2} d^{2} e^{5} f -7304 b^{3} c^{3} d^{4} e^{3} g -51729 b^{3} c^{3} d^{3} e^{4} f +7246 b^{2} c^{4} d^{5} e^{2} g +56844 b^{2} c^{4} d^{4} e^{3} f -3720 b \,c^{5} d^{6} e g -32316 b \,c^{5} d^{5} e^{2} f +776 c^{6} d^{7} g +7440 c^{6} d^{6} e f \right ) \sqrt {-c \,e^{2} x^{2}-b \,e^{2} x -b d e +c \,d^{2}}}{9009 \left (b^{4} e^{4}-8 b^{3} c d \,e^{3}+24 b^{2} c^{2} d^{2} e^{2}-32 b \,c^{3} d^{3} e +16 c^{4} d^{4}\right ) e^{2} \left (e x +d \right )^{7}}\) |
\(982\) |
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|
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[In]
int((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^10,x,method=_RETURNVERBOSE)
[Out]
-2/9009*(c*e*x+b*e-c*d)*(104*b*c^2*e^4*g*x^3-160*c^3*d*e^3*g*x^3-48*c^3*e^4*f*x^3-364*b^2*c*e^4*g*x^2+1600*b*c
^2*d*e^3*g*x^2+168*b*c^2*e^4*f*x^2-1600*c^3*d^2*e^2*g*x^2-480*c^3*d*e^3*f*x^2+819*b^3*e^4*g*x-5264*b^2*c*d*e^3
*g*x-378*b^2*c*e^4*f*x+11204*b*c^2*d^2*e^2*g*x+1848*b*c^2*d*e^3*f*x-7760*c^3*d^3*e*g*x-2328*c^3*d^2*e^2*f*x+12
6*b^3*d*e^3*g+693*b^3*e^4*f-742*b^2*c*d^2*e^2*g-4536*b^2*c*d*e^3*f+1392*b*c^2*d^3*e*g+9996*b*c^2*d^2*e^2*f-776
*c^3*d^4*g-7440*c^3*d^3*e*f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^9/e^2/(b^4*e^4-8*b^3*c*d*e^3+24*b^
2*c^2*d^2*e^2-32*b*c^3*d^3*e+16*c^4*d^4)
Fricas [F(-1)]
Timed out. \[
\int \frac {(f+g x) \left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^{10}} \, dx=\text {Timed out}
\]
[In]
integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^10,x, algorithm="fricas")
[Out]
Timed out
Sympy [F(-1)]
Timed out. \[
\int \frac {(f+g x) \left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^{10}} \, dx=\text {Timed out}
\]
[In]
integrate((g*x+f)*(-c*e**2*x**2-b*e**2*x-b*d*e+c*d**2)**(5/2)/(e*x+d)**10,x)
[Out]
Timed out
Maxima [F(-2)]
Exception generated. \[
\int \frac {(f+g x) \left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^{10}} \, dx=\text {Exception raised: ValueError}
\]
[In]
integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^10,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(b*e-2*c*d>0)', see `assume?` f
or more deta
Giac [F(-1)]
Timed out. \[
\int \frac {(f+g x) \left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^{10}} \, dx=\text {Timed out}
\]
[In]
integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^10,x, algorithm="giac")
[Out]
Timed out
Mupad [B] (verification not implemented)
Time = 116.29 (sec) , antiderivative size = 51074, normalized size of antiderivative = 179.21
\[
\int \frac {(f+g x) \left (c d^2-b d e-b e^2 x-c e^2 x^2\right )^{5/2}}{(d+e x)^{10}} \, dx=\text {Too large to display}
\]
[In]
int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^10,x)
[Out]
(((d*((2016*b^2*c^7*e^3*f - 17664*c^9*d^3*g + 3040*b^3*c^6*e^3*g + 5376*c^9*d^2*e*f - 6528*b*c^8*d*e^2*f + 291
84*b*c^8*d^2*e*g - 16224*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(21*b^2*e^2*g + 56*c^2*d^2*
g + 8*b*c*e^2*f - 12*c^2*d*e*f - 68*b*c*d*e*g))/(45045*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(6*b*e*g - 9*c*d*g +
c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(69*b^3*e^
3*g - 552*c^3*d^3*g + 52*b^2*c*e^3*f + 168*c^3*d^2*e*f - 186*b*c^2*d*e^2*f + 828*b*c^2*d^2*e*g - 414*b^2*c*d*e
^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((d*((4*c
^4*e^2*(19*b*e*g - 32*c*d*g + 2*c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(143*(9*b
*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (4*c^3*e*(51*b^2*e^2*g + 134*c^2*d^2*g + 19*b*c*e^2*f - 32*c^2*d*e*f -
166*b*c*d*e*g))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e + (204*b^2*c^3*e^4*f + 236*b^3*c^2*e^4*g + 536
*c^5*d^2*e^2*f - 1216*c^5*d^3*e*g - 664*b*c^4*d*e^3*f + 2092*b*c^4*d^2*e^2*g - 1212*b^2*c^3*d*e^3*g)/(143*e*(9
*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (960*c^5*d^4*g + 156*b^3*c^2*e^4*f + 100*b^4*c*e^4*g - 576*c^5*d^3*e
*f - 2240*b*c^4*d^3*e*g + 1132*b*c^4*d^2*e^2*f - 732*b^2*c^3*d*e^3*f - 720*b^3*c^2*d*e^3*g + 1920*b^2*c^3*d^2*
e^2*g)/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5
- (((d*((3776*b^2*c^7*e^3*f - 44544*c^9*d^3*g + 7200*b^3*c^6*e^3*g + 11136*c^9*d^2*e*f - 12928*b*c^8*d*e^2*f +
72384*b*c^8*d^2*e*g - 39424*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(59*b^2*e^2*g + 174*c^2
*d^2*g + 17*b*c*e^2*f - 28*c^2*d*e*f - 202*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(17*b*e*g - 28
*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5
*(87*b^3*e^3*g - 696*c^3*d^3*g + 51*b^2*c*e^3*f + 174*c^3*d^2*e*f - 188*b*c^2*d*e^2*f + 1044*b*c^2*d^2*e*g - 5
22*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*(
(5184*b^2*c^7*e^3*f - 66048*c^9*d^3*g + 10528*b^3*c^6*e^3*g + 15744*c^9*d^2*e*f - 18048*b*c^8*d*e^2*f + 106944
*b*c^8*d^2*e*g - 57984*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(27*b^2*e^2*g + 82*c^2*d^2*g
+ 7*b*c*e^2*f - 12*c^2*d*e*f - 94*b*c*d*e*g))/(45045*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(21*b*e*g - 36*c*d*g + 2
*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(129*b^3*
e^3*g - 1032*c^3*d^3*g + 71*b^2*c*e^3*f + 246*c^3*d^2*e*f - 264*b*c^2*d*e^2*f + 1548*b*c^2*d^2*e*g - 774*b^2*c
*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((4480*b^
2*c^7*e^3*f - 55296*c^9*d^3*g + 8864*b^3*c^6*e^3*g + 13440*c^9*d^2*e*f - 15488*b*c^8*d*e^2*f + 89664*b*c^8*d^2
*e*g - 48704*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(70*b^2*e^2*g + 210*c^2*d^2*g + 19*b*c*
e^2*f - 32*c^2*d*e*f - 242*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(19*b*e*g - 32*c*d*g + 2*c*e*f
))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(108*b^3*e^3*g
- 864*c^3*d^3*g + 61*b^2*c*e^3*f + 210*c^3*d^2*e*f - 226*b*c^2*d*e^2*f + 1296*b*c^2*d^2*e*g - 648*b^2*c*d*e^2*
g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((5888*b^2*c^7*e
^3*f - 76800*c^9*d^3*g + 12192*b^3*c^6*e^3*g + 18048*c^9*d^2*e*f - 20608*b*c^8*d*e^2*f + 124224*b*c^8*d^2*e*g
- 67264*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(92*b^2*e^2*g + 282*c^2*d^2*g + 23*b*c*e^2*f
- 40*c^2*d*e*f - 322*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(23*b*e*g - 40*c*d*g + 2*c*e*f))/(1
35135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(150*b^3*e^3*g - 120
0*c^3*d^3*g + 81*b^2*c*e^3*f + 282*c^3*d^2*e*f - 302*b*c^2*d*e^2*f + 1800*b*c^2*d^2*e*g - 900*b^2*c*d*e^2*g))/
(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((6592*b^2*c^7*e^3*f
- 87552*c^9*d^3*g + 13856*b^3*c^6*e^3*g + 20352*c^9*d^2*e*f - 23168*b*c^8*d*e^2*f + 141504*b*c^8*d^2*e*g - 76
544*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(103*b^2*e^2*g + 318*c^2*d^2*g + 25*b*c*e^2*f -
44*c^2*d*e*f - 362*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(25*b*e*g - 44*c*d*g + 2*c*e*f))/(1351
35*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(171*b^3*e^3*g - 1368*c
^3*d^3*g + 91*b^2*c*e^3*f + 318*c^3*d^2*e*f - 340*b*c^2*d*e^2*f + 2052*b*c^2*d^2*e*g - 1026*b^2*c*d*e^2*g))/(1
35135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((7360*b^2*c^7*e^3*f -
122496*c^9*d^3*g + 18624*b^3*c^6*e^3*g + 23680*c^9*d^2*e*f - 26368*b*c^8*d*e^2*f + 195584*b*c^8*d^2*e*g - 104
384*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(115*b^2*e^2*g + 370*c^2*d^2*g + 24*b*c*e^2*f -
42*c^2*d*e*f - 412*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(12*b*e*g - 21*c*d*g + c*e*f))/(13513
5*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(957*b^3*e^3*g - 7656*c^3
*d^3*g + 414*b^2*c*e^3*f + 1480*c^3*d^2*e*f - 1564*b*c^2*d*e^2*f + 11484*b*c^2*d^2*e*g - 5742*b^2*c*d*e^2*g))/
(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8384*b^2*c^7*e^3*f
- 144768*c^9*d^3*g + 21888*b^3*c^6*e^3*g + 27264*c^9*d^2*e*f - 30208*b*c^8*d*e^2*f + 230784*b*c^8*d^2*e*g - 1
22944*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(131*b^2*e^2*g + 426*c^2*d^2*g + 26*b*c*e^2*f
- 46*c^2*d*e*f - 472*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(13*b*e*g - 23*c*d*g + c*e*f))/(135
135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1131*b^3*e^3*g - 9048*
c^3*d^3*g + 474*b^2*c*e^3*f + 1704*c^3*d^2*e*f - 1796*b*c^2*d*e^2*f + 13572*b*c^2*d^2*e*g - 6786*b^2*c*d*e^2*g
))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((9408*b^2*c^7*e^
3*f - 167040*c^9*d^3*g + 25152*b^3*c^6*e^3*g + 30848*c^9*d^2*e*f - 34048*b*c^8*d*e^2*f + 265984*b*c^8*d^2*e*g
- 141504*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(147*b^2*e^2*g + 482*c^2*d^2*g + 28*b*c*e^2
*f - 50*c^2*d*e*f - 532*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(14*b*e*g - 25*c*d*g + c*e*f))/(
135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1305*b^3*e^3*g - 10
440*c^3*d^3*g + 534*b^2*c*e^3*f + 1928*c^3*d^2*e*f - 2028*b*c^2*d*e^2*f + 15660*b*c^2*d^2*e*g - 7830*b^2*c*d*e
^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((9664*b^2*c^
7*e^3*f - 176256*c^9*d^3*g + 26432*b^3*c^6*e^3*g + 31872*c^9*d^2*e*f - 35072*b*c^8*d*e^2*f + 280320*b*c^8*d^2*
e*g - 148928*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(151*b^2*e^2*g + 498*c^2*d^2*g + 28*b*c
*e^2*f - 50*c^2*d*e*f - 548*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(14*b*e*g - 25*c*d*g + c*e*f
))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1377*b^3*e^3*g
- 11016*c^3*d^3*g + 550*b^2*c*e^3*f + 1992*c^3*d^2*e*f - 2092*b*c^2*d*e^2*f + 16524*b*c^2*d^2*e*g - 8262*b^2*c
*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((10432*b
^2*c^7*e^3*f - 189312*c^9*d^3*g + 28416*b^3*c^6*e^3*g + 34432*c^9*d^2*e*f - 37888*b*c^8*d*e^2*f + 301184*b*c^8
*d^2*e*g - 160064*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(163*b^2*e^2*g + 538*c^2*d^2*g + 3
0*b*c*e^2*f - 54*c^2*d*e*f - 592*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(15*b*e*g - 27*c*d*g +
c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1479*b^3*e
^3*g - 11832*c^3*d^3*g + 594*b^2*c*e^3*f + 2152*c^3*d^2*e*f - 2260*b*c^2*d*e^2*f + 17748*b*c^2*d^2*e*g - 8874*
b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((10
816*b^2*c^7*e^3*f - 203136*c^9*d^3*g + 30336*b^3*c^6*e^3*g + 35968*c^9*d^2*e*f - 39424*b*c^8*d*e^2*f + 322688*
b*c^8*d^2*e*g - 171200*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(169*b^2*e^2*g + 562*c^2*d^2*
g + 30*b*c*e^2*f - 54*c^2*d*e*f - 616*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(15*b*e*g - 27*c*d
*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1587*
b^3*e^3*g - 12696*c^3*d^3*g + 618*b^2*c*e^3*f + 2248*c^3*d^2*e*f - 2356*b*c^2*d*e^2*f + 19044*b*c^2*d^2*e*g -
9522*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d
*((11968*b^2*c^7*e^3*f - 230016*c^9*d^3*g + 34240*b^3*c^6*e^3*g + 40064*c^9*d^2*e*f - 43776*b*c^8*d*e^2*f + 36
5056*b*c^8*d^2*e*g - 193472*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(187*b^2*e^2*g + 626*c^2
*d^2*g + 32*b*c*e^2*f - 58*c^2*d*e*f - 684*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(16*b*e*g - 2
9*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(
1797*b^3*e^3*g - 14376*c^3*d^3*g + 686*b^2*c*e^3*f + 2504*c^3*d^2*e*f - 2620*b*c^2*d*e^2*f + 21564*b*c^2*d^2*e
*g - 10782*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)
+ (((d*((12224*b^2*c^7*e^3*f - 239232*c^9*d^3*g + 35520*b^3*c^6*e^3*g + 41088*c^9*d^2*e*f - 44800*b*c^8*d*e^2*
f + 379392*b*c^8*d^2*e*g - 200896*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(191*b^2*e^2*g + 6
42*c^2*d^2*g + 32*b*c*e^2*f - 58*c^2*d*e*f - 700*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(16*b*e
*g - 29*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b
*c^5*(1869*b^3*e^3*g - 14952*c^3*d^3*g + 702*b^2*c*e^3*f + 2568*c^3*d^2*e*f - 2684*b*c^2*d*e^2*f + 22428*b*c^2
*d^2*e*g - 11214*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d +
e*x) + (((d*((13504*b^2*c^7*e^3*f - 270720*c^9*d^3*g + 40064*b^3*c^6*e^3*g + 45696*c^9*d^2*e*f - 49664*b*c^8*
d*e^2*f + 428928*b*c^8*d^2*e*g - 226880*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(211*b^2*e^2
*g + 714*c^2*d^2*g + 34*b*c*e^2*f - 62*c^2*d*e*f - 776*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(
17*b*e*g - 31*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e
- (8*b*c^5*(2115*b^3*e^3*g - 16920*c^3*d^3*g + 778*b^2*c*e^3*f + 2856*c^3*d^2*e*f - 2980*b*c^2*d*e^2*f + 25380
*b*c^2*d^2*e*g - 12690*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)
)/(d + e*x) + (((d*((15040*b^2*c^7*e^3*f - 311424*c^9*d^3*g + 45888*b^3*c^6*e^3*g + 51328*c^9*d^2*e*f - 55552*
b*c^8*d*e^2*f + 492800*b*c^8*d^2*e*g - 260288*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(235*b
^2*e^2*g + 802*c^2*d^2*g + 36*b*c*e^2*f - 66*c^2*d*e*f - 868*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c
^8*e*(18*b*e*g - 33*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/
e))/e - (8*b*c^5*(2433*b^3*e^3*g - 19464*c^3*d^3*g + 870*b^2*c*e^3*f + 3208*c^3*d^2*e*f - 3340*b*c^2*d*e^2*f +
29196*b*c^2*d^2*e*g - 14598*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)
^(1/2))/(d + e*x) - (((d*((13984*b^2*c^7*e^3*f - 335616*c^9*d^3*g + 48432*b^3*c^6*e^3*g + 47872*c^9*d^2*e*f -
51712*b*c^8*d*e^2*f + 527360*b*c^8*d^2*e*g - 276608*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*
(437*b^2*e^2*g + 1496*c^2*d^2*g + 66*b*c*e^2*f - 120*c^2*d*e*f - 1616*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (
d*((64*c^8*e*(33*b*e*g - 60*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)
^7)))/e))/e))/e - (16*b*c^5*(1311*b^3*e^3*g - 10488*c^3*d^3*g + 405*b^2*c*e^3*f + 1496*c^3*d^2*e*f - 1556*b*c^
2*d*e^2*f + 15732*b*c^2*d^2*e*g - 7866*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e
- b*e^2*x)^(1/2))/(d + e*x) - (((d*((15456*b^2*c^7*e^3*f - 382976*c^9*d^3*g + 55056*b^3*c^6*e^3*g + 53248*c^9*
d^2*e*f - 57344*b*c^8*d*e^2*f + 601088*b*c^8*d^2*e*g - 314880*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d
*((32*c^7*(483*b^2*e^2*g + 1664*c^2*d^2*g + 70*b*c*e^2*f - 128*c^2*d*e*f - 1792*b*c*d*e*g))/(135135*(b*e - 2*c
*d)^7) - (d*((64*c^8*e*(35*b*e*g - 64*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*
e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(1496*b^3*e^3*g - 11968*c^3*d^3*g + 449*b^2*c*e^3*f + 1664*c^3*d^2*e*f -
1728*b*c^2*d*e^2*f + 17952*b*c^2*d^2*e*g - 8976*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^
2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((16928*b^2*c^7*e^3*f - 430336*c^9*d^3*g + 61680*b^3*c^6*e^3*g +
58624*c^9*d^2*e*f - 62976*b*c^8*d*e^2*f + 674816*b*c^8*d^2*e*g - 353152*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*
d)^7) - (d*((32*c^7*(529*b^2*e^2*g + 1832*c^2*d^2*g + 74*b*c*e^2*f - 136*c^2*d*e*f - 1968*b*c*d*e*g))/(135135*
(b*e - 2*c*d)^7) - (d*((64*c^8*e*(37*b*e*g - 68*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(
135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(1681*b^3*e^3*g - 13448*c^3*d^3*g + 493*b^2*c*e^3*f + 1832*c^3
*d^2*e*f - 1900*b*c^2*d*e^2*f + 20172*b*c^2*d^2*e*g - 10086*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2
- c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((17184*b^2*c^7*e^3*f - 444672*c^9*d^3*g + 63600*b^3*c
^6*e^3*g + 59648*c^9*d^2*e*f - 64000*b*c^8*d*e^2*f + 696832*b*c^8*d^2*e*g - 364416*b^2*c^7*d*e^2*g)/(135135*e*
(b*e - 2*c*d)^7) - (d*((32*c^7*(537*b^2*e^2*g + 1864*c^2*d^2*g + 74*b*c*e^2*f - 136*c^2*d*e*f - 2000*b*c*d*e*g
))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(37*b*e*g - 68*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c
^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(1737*b^3*e^3*g - 13896*c^3*d^3*g + 501*b^2*c*e^3*f
+ 1864*c^3*d^2*e*f - 1932*b*c^2*d*e^2*f + 20844*b*c^2*d^2*e*g - 10422*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)
^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((18784*b^2*c^7*e^3*f - 499200*c^9*d^3*g +
71184*b^3*c^6*e^3*g + 65536*c^9*d^2*e*f - 70144*b*c^8*d*e^2*f + 781568*b*c^8*d^2*e*g - 408320*b^2*c^7*d*e^2*g)
/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(587*b^2*e^2*g + 2048*c^2*d^2*g + 78*b*c*e^2*f - 144*c^2*d*e*f - 219
2*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(39*b*e*g - 72*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^
7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(1950*b^3*e^3*g - 15600*c^3*d^3*g + 549*
b^2*c*e^3*f + 2048*c^3*d^2*e*f - 2120*b*c^2*d*e^2*f + 23400*b*c^2*d^2*e*g - 11700*b^2*c*d*e^2*g))/(135135*e*(b
*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((19168*b^2*c^7*e^3*f - 526848*c
^9*d^3*g + 74832*b^3*c^6*e^3*g + 67072*c^9*d^2*e*f - 71680*b*c^8*d*e^2*f + 823808*b*c^8*d^2*e*g - 429824*b^2*c
^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(599*b^2*e^2*g + 2096*c^2*d^2*g + 78*b*c*e^2*f - 144*c^2*
d*e*f - 2240*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(39*b*e*g - 72*c*d*g + 2*c*e*f))/(135135*(b*
e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(2058*b^3*e^3*g - 16464*c^3*d
^3*g + 561*b^2*c*e^3*f + 2096*c^3*d^2*e*f - 2168*b*c^2*d*e^2*f + 24696*b*c^2*d^2*e*g - 12348*b^2*c*d*e^2*g))/(
135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((20640*b^2*c^7*e^3*f
- 568064*c^9*d^3*g + 80688*b^3*c^6*e^3*g + 72448*c^9*d^2*e*f - 77312*b*c^8*d*e^2*f + 888320*b*c^8*d^2*e*g - 4
63488*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(645*b^2*e^2*g + 2264*c^2*d^2*g + 82*b*c*e^2*f
- 152*c^2*d*e*f - 2416*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(41*b*e*g - 76*c*d*g + 2*c*e*f))/
(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(2219*b^3*e^3*g -
17752*c^3*d^3*g + 605*b^2*c*e^3*f + 2264*c^3*d^2*e*f - 2340*b*c^2*d*e^2*f + 26628*b*c^2*d^2*e*g - 13314*b^2*c*
d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((20896*b^
2*c^7*e^3*f - 590592*c^9*d^3*g + 83632*b^3*c^6*e^3*g + 73472*c^9*d^2*e*f - 78336*b*c^8*d*e^2*f + 922624*b*c^8*
d^2*e*g - 480896*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(653*b^2*e^2*g + 2296*c^2*d^2*g + 8
2*b*c*e^2*f - 152*c^2*d*e*f - 2448*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(41*b*e*g - 76*c*d*g +
2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(2307*b
^3*e^3*g - 18456*c^3*d^3*g + 613*b^2*c*e^3*f + 2296*c^3*d^2*e*f - 2372*b*c^2*d*e^2*f + 27684*b*c^2*d^2*e*g - 1
3842*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d
*((22880*b^2*c^7*e^3*f - 670720*c^9*d^3*g + 94608*b^3*c^6*e^3*g + 80896*c^9*d^2*e*f - 86016*b*c^8*d*e^2*f + 10
46528*b*c^8*d^2*e*g - 544768*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(715*b^2*e^2*g + 2528*c
^2*d^2*g + 86*b*c*e^2*f - 160*c^2*d*e*f - 2688*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(43*b*e*g
- 80*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b
*c^5*(2620*b^3*e^3*g - 20960*c^3*d^3*g + 673*b^2*c*e^3*f + 2528*c^3*d^2*e*f - 2608*b*c^2*d*e^2*f + 31440*b*c^2
*d^2*e*g - 15720*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d +
e*x) - (((d*((25120*b^2*c^7*e^3*f - 773376*c^9*d^3*g + 108528*b^3*c^6*e^3*g + 89344*c^9*d^2*e*f - 94720*b*c^8
*d*e^2*f + 1204736*b*c^8*d^2*e*g - 626048*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(785*b^2*e
^2*g + 2792*c^2*d^2*g + 90*b*c*e^2*f - 168*c^2*d*e*f - 2960*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8
*e*(45*b*e*g - 84*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/
e))/e - (16*b*c^5*(3021*b^3*e^3*g - 24168*c^3*d^3*g + 741*b^2*c*e^3*f + 2792*c^3*d^2*e*f - 2876*b*c^2*d*e^2*f
+ 36252*b*c^2*d^2*e*g - 18126*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x
)^(1/2))/(d + e*x) + (((d*((25248*b^2*c^7*e^3*f - 862208*c^9*d^3*g + 119712*b^3*c^6*e^3*g + 90112*c^9*d^2*e*f
- 95360*b*c^8*d*e^2*f + 1338368*b*c^8*d^2*e*g - 693024*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c
^7*(789*b^2*e^2*g + 2816*c^2*d^2*g + 88*b*c*e^2*f - 164*c^2*d*e*f - 2980*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7)
- (d*((128*c^8*e*(22*b*e*g - 41*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*
d)^7)))/e))/e))/e - (32*b*c^5*(1684*b^3*e^3*g - 13472*c^3*d^3*g + 373*b^2*c*e^3*f + 1408*c^3*d^2*e*f - 1449*b*
c^2*d*e^2*f + 20208*b*c^2*d^2*e*g - 10104*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d
*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((27296*b^2*c^7*e^3*f - 957952*c^9*d^3*g + 132672*b^3*c^6*e^3*g + 97792*
c^9*d^2*e*f - 103296*b*c^8*d*e^2*f + 1485824*b*c^8*d^2*e*g - 768736*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7
) - (d*((32*c^7*(853*b^2*e^2*g + 3056*c^2*d^2*g + 92*b*c*e^2*f - 172*c^2*d*e*f - 3228*b*c*d*e*g))/(135135*(b*e
- 2*c*d)^7) - (d*((128*c^8*e*(23*b*e*g - 43*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(13513
5*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(1871*b^3*e^3*g - 14968*c^3*d^3*g + 404*b^2*c*e^3*f + 1528*c^3*d^2*
e*f - 1571*b*c^2*d*e^2*f + 22452*b*c^2*d^2*e*g - 11226*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*
e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((29600*b^2*c^7*e^3*f - 1075200*c^9*d^3*g + 148448*b^3*c^6*
e^3*g + 106496*c^9*d^2*e*f - 112256*b*c^8*d*e^2*f + 1666048*b*c^8*d^2*e*g - 861088*b^2*c^7*d*e^2*g)/(135135*e*
(b*e - 2*c*d)^7) - (d*((32*c^7*(925*b^2*e^2*g + 3328*c^2*d^2*g + 96*b*c*e^2*f - 180*c^2*d*e*f - 3508*b*c*d*e*g
))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(24*b*e*g - 45*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^
9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(2100*b^3*e^3*g - 16800*c^3*d^3*g + 439*b^2*c*e^3*f
+ 1664*c^3*d^2*e*f - 1709*b*c^2*d*e^2*f + 25200*b*c^2*d^2*e*g - 12600*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^
7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((32160*b^2*c^7*e^3*f - 1220096*c^9*d^3*g +
167808*b^3*c^6*e^3*g + 116224*c^9*d^2*e*f - 122240*b*c^8*d*e^2*f + 1888256*b*c^8*d^2*e*g - 974688*b^2*c^7*d*e^
2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(1005*b^2*e^2*g + 3632*c^2*d^2*g + 100*b*c*e^2*f - 188*c^2*d*e*f
- 3820*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(25*b*e*g - 47*c*d*g + c*e*f))/(135135*(b*e - 2*
c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(2383*b^3*e^3*g - 19064*c^3*d^3*g +
478*b^2*c*e^3*f + 1816*c^3*d^2*e*f - 1863*b*c^2*d*e^2*f + 28596*b*c^2*d^2*e*g - 14298*b^2*c*d*e^2*g))/(135135
*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((34976*b^2*c^7*e^3*f - 139
8784*c^9*d^3*g + 191520*b^3*c^6*e^3*g + 126976*c^9*d^2*e*f - 133248*b*c^8*d*e^2*f + 2161664*b*c^8*d^2*e*g - 11
14144*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(1093*b^2*e^2*g + 3968*c^2*d^2*g + 104*b*c*e^2
*f - 196*c^2*d*e*f - 4164*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(26*b*e*g - 49*c*d*g + c*e*f))
/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(2732*b^3*e^3*g -
21856*c^3*d^3*g + 521*b^2*c*e^3*f + 1984*c^3*d^2*e*f - 2033*b*c^2*d*e^2*f + 32784*b*c^2*d^2*e*g - 16392*b^2*c
*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((43136*b
^2*c^7*e^3*f - 2033664*c^9*d^3*g + 274880*b^3*c^6*e^3*g + 158336*c^9*d^2*e*f - 165248*b*c^8*d*e^2*f + 3129664*
b*c^8*d^2*e*g - 1606144*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(674*b^2*e^2*g + 2474*c^2*d^
2*g + 57*b*c*e^2*f - 108*c^2*d*e*f - 2582*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(57*b*e*g - 108
*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (64*b*c^5
*(1986*b^3*e^3*g - 15888*c^3*d^3*g + 323*b^2*c*e^3*f + 1237*c^3*d^2*e*f - 1264*b*c^2*d*e^2*f + 23832*b*c^2*d^2
*e*g - 11916*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x
) + (((d*((484*b^2*c^4*e^3*f - 3776*c^6*d^3*g + 676*b^3*c^3*e^3*g + 1344*c^6*d^2*e*f - 1616*b*c^5*d*e^2*f + 63
36*b*c^5*d^2*e*g - 3572*b^2*c^4*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((16*c^5*e^2*(10
*b*e*g - 17*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14
*c*d*e)*(b*e - 2*c*d)^3)))/e - (484*b^2*c^4*e^3*g + 160*b*c^5*e^3*f - 272*c^6*d*e^2*f + 1344*c^6*d^2*e*g - 161
6*b*c^5*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (204*b^3*c^3*e^3*f + 236*b^4*c^2*e^3*g
- 1888*b*c^5*d^3*g + 672*b*c^5*d^2*e*f - 740*b^2*c^4*d*e^2*f + 2832*b^2*c^4*d^2*e*g - 1416*b^3*c^3*d*e^2*g)/(1
287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((5
48*b^2*c^4*e^3*f - 4352*c^6*d^3*g + 776*b^3*c^3*e^3*g + 1536*c^6*d^2*e*f - 1840*b*c^5*d*e^2*f + 7296*b*c^5*d^2
*e*g - 4108*b^2*c^4*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((16*c^5*e^2*(11*b*e*g - 19*
c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e
- 2*c*d)^3)))/e - (548*b^2*c^4*e^3*g + 176*b*c^5*e^3*f - 304*c^6*d*e^2*f + 1536*c^6*d^2*e*g - 1840*b*c^5*d*e^
2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (232*b^3*c^3*e^3*f + 272*b^4*c^2*e^3*g - 2176*b*c^5
*d^3*g + 768*b*c^5*d^2*e*f - 844*b^2*c^4*d*e^2*f + 3264*b^2*c^4*d^2*e*g - 1632*b^3*c^3*d*e^2*g)/(1287*(7*b*e^2
- 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((3072*b^2*c^7*
e^4*f + 5536*b^3*c^6*e^4*g + 8832*c^9*d^2*e^2*f - 33792*c^9*d^3*e*g - 10368*b*c^8*d*e^3*f + 55104*b*c^8*d^2*e^
2*g - 30144*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(16*b^2*e^2*g + 46*c^2*d^2*g + 5*b*c*e
^2*f - 8*c^2*d*e*f - 54*b*c*d*e*g))/(45045*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(15*b*e*g - 24*c*d*g + 2*c*e*f))/(
135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (35328*c^9*d^4*g + 2656*b^3*c
^6*e^4*f + 3648*b^4*c^5*e^4*g - 10752*c^9*d^3*e*f - 82176*b*c^8*d^3*e*g + 20544*b*c^8*d^2*e^2*f - 12864*b^2*c^
7*d*e^3*f - 26304*b^3*c^6*d*e^3*g + 70272*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2
- b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((5312*b^2*c^7*e^4*f + 12096*b^3*c^6*e^4*g + 16512*c^9*d^2*e^2*f -
77952*c^9*d^3*e*g - 18688*b*c^8*d*e^3*f + 125184*b*c^8*d^2*e^2*g - 67264*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2
*c*d)^7) - (d*((64*c^7*(83*b^2*e^2*g + 258*c^2*d^2*g + 20*b*c*e^2*f - 34*c^2*d*e*f - 292*b*c*d*e*g))/(135135*(
b*e - 2*c*d)^7) - (d*((128*c^8*e*(10*b*e*g - 17*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(13
5135*(b*e - 2*c*d)^7)))/e))/e))/e - (52224*c^9*d^4*g + 3552*b^3*c^6*e^4*f + 7536*b^4*c^5*e^4*g - 9600*c^9*d^3*
e*f - 138624*b*c^8*d^3*e*g + 22656*b*c^8*d^2*e^2*f - 16000*b^2*c^7*d*e^3*f - 51744*b^3*c^6*d*e^3*g + 129600*b^
2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*(
(6208*b^2*c^7*e^4*f + 14720*b^3*c^6*e^4*g + 19584*c^9*d^2*e^2*f - 95616*c^9*d^3*e*g - 22016*b*c^8*d*e^3*f + 15
3216*b*c^8*d^2*e^2*g - 82112*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(97*b^2*e^2*g + 306*c
^2*d^2*g + 22*b*c*e^2*f - 38*c^2*d*e*f - 344*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(11*b*e*g -
19*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (110592*
c^9*d^4*g + 6128*b^3*c^6*e^4*f + 11208*b^4*c^5*e^4*g - 26880*c^9*d^3*e*f - 255552*b*c^8*d^3*e*g + 50112*b*c^8*
d^2*e^2*f - 30560*b^2*c^7*d*e^3*f - 81072*b^3*c^6*d*e^3*g + 217440*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d
)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((7104*b^2*c^7*e^4*f + 17344*b^3*c^6*e^4*g
+ 22656*c^9*d^2*e^2*f - 113280*c^9*d^3*e*g - 25344*b*c^8*d*e^3*f + 181248*b*c^8*d^2*e^2*g - 96960*b^2*c^7*d*e
^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(37*b^2*e^2*g + 118*c^2*d^2*g + 8*b*c*e^2*f - 14*c^2*d*e*f -
132*b*c*d*e*g))/(45045*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(12*b*e*g - 21*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^
7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (132096*c^9*d^4*g + 7120*b^3*c^6*e^4*f + 13368*b^4
*c^5*e^4*g - 31488*c^9*d^3*e*f - 305088*b*c^8*d^3*e*g + 58560*b*c^8*d^2*e^2*f - 35616*b^2*c^7*d*e^3*f - 96720*
b^3*c^6*d*e^3*g + 259488*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x
)^(1/2))/(d + e*x) + (((d*((8000*b^2*c^7*e^4*f + 19968*b^3*c^6*e^4*g + 25728*c^9*d^2*e^2*f - 130944*c^9*d^3*e*
g - 28672*b*c^8*d*e^3*f + 209280*b*c^8*d^2*e^2*g - 111808*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*(
(64*c^7*(125*b^2*e^2*g + 402*c^2*d^2*g + 26*b*c*e^2*f - 46*c^2*d*e*f - 448*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7
) - (d*((128*c^8*e*(13*b*e*g - 23*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*
c*d)^7)))/e))/e))/e - (153600*c^9*d^4*g + 8112*b^3*c^6*e^4*f + 15528*b^4*c^5*e^4*g - 36096*c^9*d^3*e*f - 35462
4*b*c^8*d^3*e*g + 67008*b*c^8*d^2*e^2*f - 40672*b^2*c^7*d*e^3*f - 112368*b^3*c^6*d*e^3*g + 301536*b^2*c^7*d^2*
e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8896*b^2*
c^7*e^4*f + 22592*b^3*c^6*e^4*g + 28800*c^9*d^2*e^2*f - 148608*c^9*d^3*e*g - 32000*b*c^8*d*e^3*f + 237312*b*c^
8*d^2*e^2*g - 126656*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(139*b^2*e^2*g + 450*c^2*d^2*
g + 28*b*c*e^2*f - 50*c^2*d*e*f - 500*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(14*b*e*g - 25*c*d
*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (175104*c^9*d^4
*g + 9104*b^3*c^6*e^4*f + 17688*b^4*c^5*e^4*g - 40704*c^9*d^3*e*f - 404160*b*c^8*d^3*e*g + 75456*b*c^8*d^2*e^2
*f - 45728*b^2*c^7*d*e^3*f - 128016*b^3*c^6*d*e^3*g + 343584*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*
(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((10784*b^2*c^7*e^4*f + 33264*b^3*c^6*e^4*g + 36
096*c^9*d^2*e^2*f - 226560*c^9*d^3*e*g - 39424*b*c^8*d*e^3*f + 357888*b*c^8*d^2*e^2*g - 188800*b^2*c^7*d*e^3*g
)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(337*b^2*e^2*g + 1128*c^2*d^2*g + 58*b*c*e^2*f - 104*c^2*d*e*f -
1232*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*
d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (138624*c^9*d^4*g + 6720*b^3*c^6*e^4*f + 21936*
b^4*c^5*e^4*g - 14208*c^9*d^3*e*f - 383424*b*c^8*d^3*e*g + 39360*b*c^8*d^2*e^2*f - 29536*b^2*c^7*d*e^3*f - 148
944*b^3*c^6*d*e^3*g + 367200*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e
^2*x)^(1/2))/(d + e*x) - (((d*((9568*b^2*c^7*e^4*f + 28560*b^3*c^6*e^4*g + 31744*c^9*d^2*e^2*f - 193536*c^9*d^
3*e*g - 34816*b*c^8*d*e^3*f + 306176*b*c^8*d^2*e^2*g - 161792*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) -
(d*((32*c^7*(299*b^2*e^2*g + 992*c^2*d^2*g + 54*b*c*e^2*f - 96*c^2*d*e*f - 1088*b*c*d*e*g))/(135135*(b*e - 2*c
*d)^7) - (d*((64*c^8*e*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*
e - 2*c*d)^7)))/e))/e))/e - (183936*c^9*d^4*g + 9216*b^3*c^6*e^4*f + 21168*b^4*c^5*e^4*g - 38784*c^9*d^3*e*f -
445248*b*c^8*d^3*e*g + 74048*b*c^8*d^2*e^2*f - 45728*b^2*c^7*d*e^3*f - 150000*b^3*c^6*d*e^3*g + 391968*b^2*c^
7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((120
00*b^2*c^7*e^4*f + 37968*b^3*c^6*e^4*g + 40448*c^9*d^2*e^2*f - 259584*c^9*d^3*e*g - 44032*b*c^8*d*e^3*f + 4096
00*b*c^8*d^2*e^2*g - 215808*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(375*b^2*e^2*g + 1264*
c^2*d^2*g + 62*b*c*e^2*f - 112*c^2*d*e*f - 1376*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(31*b*e*g
- 56*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (157
824*c^9*d^4*g + 7424*b^3*c^6*e^4*f + 25136*b^4*c^5*e^4*g - 15232*c^9*d^3*e*f - 437824*b*c^8*d^3*e*g + 43072*b*
c^8*d^2*e^2*f - 32544*b^2*c^7*d*e^3*f - 170544*b^3*c^6*d*e^3*g + 420000*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e -
2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((13216*b^2*c^7*e^4*f + 42672*b^3*c^6
*e^4*g + 44800*c^9*d^2*e^2*f - 292608*c^9*d^3*e*g - 48640*b*c^8*d*e^3*f + 461312*b*c^8*d^2*e^2*g - 242816*b^2*
c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(413*b^2*e^2*g + 1400*c^2*d^2*g + 66*b*c*e^2*f - 120*c
^2*d*e*f - 1520*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(33*b*e*g - 60*c*d*g + 2*c*e*f))/(135135*
(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (177024*c^9*d^4*g + 8128*b^3*c^6*e^4
*f + 28336*b^4*c^5*e^4*g - 16256*c^9*d^3*e*f - 492224*b*c^8*d^3*e*g + 46784*b*c^8*d^2*e^2*f - 35552*b^2*c^7*d*
e^3*f - 192144*b^3*c^6*d*e^3*g + 472800*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 -
b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((12256*b^2*c^7*e^4*f + 39632*b^3*c^6*e^4*g + 41472*c^9*d^2*e^2*f - 2
71872*c^9*d^3*e*g - 45056*b*c^8*d*e^3*f + 428544*b*c^8*d^2*e^2*g - 225536*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e -
2*c*d)^7) - (d*((32*c^7*(383*b^2*e^2*g + 1296*c^2*d^2*g + 62*b*c*e^2*f - 112*c^2*d*e*f - 1408*b*c*d*e*g))/(135
135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*
g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (352512*c^9*d^4*g + 13616*b^3*c^6*e^4*f + 35040*b^4*c^5*e^4*g - 6374
4*c^9*d^3*e*f - 809088*b*c^8*d^3*e*g + 116352*b*c^8*d^2*e^2*f - 69440*b^2*c^7*d*e^3*f - 254304*b^3*c^6*d*e^3*g
+ 684864*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e
*x) - (((d*((13600*b^2*c^7*e^4*f + 45168*b^3*c^6*e^4*g + 46336*c^9*d^2*e^2*f - 311040*c^9*d^3*e*g - 50176*b*c^
8*d*e^3*f + 489728*b*c^8*d^2*e^2*g - 257408*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(425*b
^2*e^2*g + 1448*c^2*d^2*g + 66*b*c*e^2*f - 120*c^2*d*e*f - 1568*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64
*c^8*e*(33*b*e*g - 60*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/
e))/e))/e - (406272*c^9*d^4*g + 15280*b^3*c^6*e^4*f + 40336*b^4*c^5*e^4*g - 71936*c^9*d^3*e*f - 932096*b*c^8*d
^3*e*g + 131072*b*c^8*d^2*e^2*f - 78080*b^2*c^7*d*e^3*f - 292800*b^3*c^6*d*e^3*g + 788736*b^2*c^7*d^2*e^2*g)/(
135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((14944*b^2*c^7*e^4
*f + 50704*b^3*c^6*e^4*g + 51200*c^9*d^2*e^2*f - 350208*c^9*d^3*e*g - 55296*b*c^8*d*e^3*f + 550912*b*c^8*d^2*e
^2*g - 289280*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(467*b^2*e^2*g + 1600*c^2*d^2*g + 70
*b*c*e^2*f - 128*c^2*d*e*f - 1728*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(35*b*e*g - 64*c*d*g +
2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (460032*c^9*d^4*g
+ 16944*b^3*c^6*e^4*f + 45632*b^4*c^5*e^4*g - 80128*c^9*d^3*e*f - 1055104*b*c^8*d^3*e*g + 145792*b*c^8*d^2*e^2
*f - 86720*b^2*c^7*d*e^3*f - 331296*b^3*c^6*d*e^3*g + 892608*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*
(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((15200*b^2*c^7*e^4*f + 52368*b^3*c^6*e^4*g + 52
224*c^9*d^2*e^2*f - 362496*c^9*d^3*e*g - 56320*b*c^8*d*e^3*f + 569856*b*c^8*d^2*e^2*g - 299008*b^2*c^7*d*e^3*g
)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(475*b^2*e^2*g + 1632*c^2*d^2*g + 70*b*c*e^2*f - 128*c^2*d*e*f -
1760*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(35*b*e*g - 64*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*
d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (478464*c^9*d^4*g + 17328*b^3*c^6*e^4*f + 47424
*b^4*c^5*e^4*g - 82176*c^9*d^3*e*f - 1097088*b*c^8*d^3*e*g + 149376*b*c^8*d^2*e^2*f - 88768*b^2*c^7*d*e^3*f -
344352*b^3*c^6*d*e^3*g + 927936*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e -
b*e^2*x)^(1/2))/(d + e*x) + (((d*((17056*b^2*c^7*e^4*f + 67872*b^3*c^6*e^4*g + 59392*c^9*d^2*e^2*f - 479232*c^
9*d^3*e*g - 63616*b*c^8*d*e^3*f + 748544*b*c^8*d^2*e^2*g - 390176*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7
) - (d*((32*c^7*(533*b^2*e^2*g + 1856*c^2*d^2*g + 72*b*c*e^2*f - 132*c^2*d*e*f - 1988*b*c*d*e*g))/(135135*(b*e
- 2*c*d)^7) - (d*((128*c^8*e*(18*b*e*g - 33*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(13513
5*(b*e - 2*c*d)^7)))/e))/e))/e - (387072*c^9*d^4*g + 11808*b^3*c^6*e^4*f + 52224*b^4*c^5*e^4*g - 30720*c^9*d^3
*e*f - 998400*b*c^8*d^3*e*g + 75776*b*c^8*d^2*e^2*f - 53792*b^2*c^7*d*e^3*f - 361728*b^3*c^6*d*e^3*g + 916992*
b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d
*((20640*b^2*c^7*e^4*f + 87648*b^3*c^6*e^4*g + 72704*c^9*d^2*e^2*f - 623616*c^9*d^3*e*g - 77440*b*c^8*d*e^3*f
+ 971776*b*c^8*d^2*e^2*g - 505248*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(645*b^2*e^2*g +
2272*c^2*d^2*g + 80*b*c*e^2*f - 148*c^2*d*e*f - 2420*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(2
0*b*e*g - 37*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e -
(294912*c^9*d^4*g + 10592*b^3*c^6*e^4*f + 56960*b^4*c^5*e^4*g - 7168*c^9*d^3*e*f - 898048*b*c^8*d^3*e*g + 471
04*b*c^8*d^2*e^2*f - 42912*b^2*c^7*d*e^3*f - 378624*b^3*c^6*d*e^3*g + 904704*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b
*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((16672*b^2*c^7*e^4*f + 58736*b^
3*c^6*e^4*g + 57600*c^9*d^2*e^2*f - 407808*c^9*d^3*e*g - 61952*b*c^8*d*e^3*f + 640512*b*c^8*d^2*e^2*g - 335744
*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(521*b^2*e^2*g + 1800*c^2*d^2*g + 74*b*c*e^2*f -
136*c^2*d*e*f - 1936*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(37*b*e*g - 68*c*d*g + 2*c*e*f))/(13
5135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (541440*c^9*d^4*g + 19184*b^3*c
^6*e^4*f + 53616*b^4*c^5*e^4*g - 91392*c^9*d^3*e*f - 1241088*b*c^8*d^3*e*g + 165888*b*c^8*d^2*e^2*f - 98432*b^
2*c^7*d*e^3*f - 389376*b^3*c^6*d*e^3*g + 1049472*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e
^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((22432*b^2*c^7*e^4*f + 97536*b^3*c^6*e^4*g + 79360*c^9*d^2*
e^2*f - 695808*c^9*d^3*e*g - 84352*b*c^8*d*e^3*f + 1083392*b*c^8*d^2*e^2*g - 562784*b^2*c^7*d*e^3*g)/(135135*e
^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(701*b^2*e^2*g + 2480*c^2*d^2*g + 84*b*c*e^2*f - 156*c^2*d*e*f - 2636*b*c*d*
e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(21*b*e*g - 39*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128
*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (323328*c^9*d^4*g + 11296*b^3*c^6*e^4*f + 63328*b^4*c^5*e^4
*g - 5888*c^9*d^3*e*f - 991616*b*c^8*d^3*e*g + 48512*b*c^8*d^2*e^2*f - 45344*b^2*c^7*d*e^3*f - 420384*b^3*c^6*
d*e^3*g + 1002432*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)
)/(d + e*x) - (((d*((18400*b^2*c^7*e^4*f + 66768*b^3*c^6*e^4*g + 64000*c^9*d^2*e^2*f - 465408*c^9*d^3*e*g - 68
608*b*c^8*d*e^3*f + 730112*b*c^8*d^2*e^2*g - 382208*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^
7*(575*b^2*e^2*g + 2000*c^2*d^2*g + 78*b*c*e^2*f - 144*c^2*d*e*f - 2144*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) -
(d*((64*c^8*e*(39*b*e*g - 72*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*
d)^7)))/e))/e))/e - (622848*c^9*d^4*g + 21424*b^3*c^6*e^4*f + 61600*b^4*c^5*e^4*g - 102656*c^9*d^3*e*f - 14270
72*b*c^8*d^3*e*g + 185984*b*c^8*d^2*e^2*f - 110144*b^2*c^7*d*e^3*f - 447456*b^3*c^6*d*e^3*g + 1206336*b^2*c^7*
d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((24480
*b^2*c^7*e^4*f + 109728*b^3*c^6*e^4*g + 87040*c^9*d^2*e^2*f - 785408*c^9*d^3*e*g - 92288*b*c^8*d*e^3*f + 12216
32*b*c^8*d^2*e^2*g - 633888*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(765*b^2*e^2*g + 2720*
c^2*d^2*g + 88*b*c*e^2*f - 164*c^2*d*e*f - 2884*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(22*b*e*
g - 41*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (3558
40*c^9*d^4*g + 12000*b^3*c^6*e^4*f + 71104*b^4*c^5*e^4*g - 3584*c^9*d^3*e*f - 1102592*b*c^8*d^3*e*g + 48896*b*
c^8*d^2*e^2*f - 47520*b^2*c^7*d*e^3*f - 471104*b^3*c^6*d*e^3*g + 1120128*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e -
2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((18720*b^2*c^7*e^4*f + 76608*b^3*c^
6*e^4*g + 65536*c^9*d^2*e^2*f - 542720*c^9*d^3*e*g - 70016*b*c^8*d*e^3*f + 846848*b*c^8*d^2*e^2*g - 440928*b^2
*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(585*b^2*e^2*g + 2048*c^2*d^2*g + 76*b*c*e^2*f - 140*
c^2*d*e*f - 2188*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(19*b*e*g - 35*c*d*g + c*e*f))/(135135*
(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (610560*c^9*d^4*g + 22944*b^3*c^6*e^
4*f + 64992*b^4*c^5*e^4*g - 113408*c^9*d^3*e*f - 1435776*b*c^8*d^3*e*g + 202880*b*c^8*d^2*e^2*f - 118944*b^2*c
^7*d*e^3*f - 466272*b^3*c^6*d*e^3*g + 1237824*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*
x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((20384*b^2*c^7*e^4*f + 85344*b^3*c^6*e^4*g + 71680*c^9*d^2*e^2
*f - 606208*c^9*d^3*e*g - 76416*b*c^8*d*e^3*f + 945152*b*c^8*d^2*e^2*g - 491680*b^2*c^7*d*e^3*g)/(135135*e^2*(
b*e - 2*c*d)^7) - (d*((32*c^7*(637*b^2*e^2*g + 2240*c^2*d^2*g + 80*b*c*e^2*f - 148*c^2*d*e*f - 2388*b*c*d*e*g)
)/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(20*b*e*g - 37*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9
*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (688128*c^9*d^4*g + 25440*b^3*c^6*e^4*f + 72960*b^4*c^5*e^4*g -
126976*c^9*d^3*e*f - 1615872*b*c^8*d^3*e*g + 226304*b*c^8*d^2*e^2*f - 132256*b^2*c^7*d*e^3*f - 523776*b^3*c^6
*d*e^3*g + 1391616*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2
))/(d + e*x) + (((d*((22816*b^2*c^7*e^4*f + 101760*b^3*c^6*e^4*g + 80896*c^9*d^2*e^2*f - 728064*c^9*d^3*e*g -
85888*b*c^8*d*e^3*f + 1132544*b*c^8*d^2*e^2*g - 587744*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32
*c^7*(713*b^2*e^2*g + 2528*c^2*d^2*g + 84*b*c*e^2*f - 156*c^2*d*e*f - 2684*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7
) - (d*((128*c^8*e*(21*b*e*g - 39*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*
c*d)^7)))/e))/e))/e - (1053696*c^9*d^4*g + 27520*b^3*c^6*e^4*f + 102976*b^4*c^5*e^4*g - 134144*c^9*d^3*e*f - 2
404352*b*c^8*d^3*e*g + 241664*b*c^8*d^2*e^2*f - 142304*b^2*c^7*d*e^3*f - 749568*b^3*c^6*d*e^3*g + 2025984*b^2*
c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((3
6864*b^2*c^7*e^4*f + 213696*b^3*c^6*e^4*g + 134272*c^9*d^2*e^2*f - 1568768*c^9*d^3*e*g - 140672*b*c^8*d*e^3*f
+ 2420288*b*c^8*d^2*e^2*g - 1245312*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(576*b^2*e^2*g
+ 2098*c^2*d^2*g + 53*b*c*e^2*f - 100*c^2*d*e*f - 2198*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(
53*b*e*g - 100*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))
/e - (388096*c^9*d^4*g + 15168*b^3*c^6*e^4*f + 123520*b^4*c^5*e^4*g + 19456*c^9*d^3*e*f - 1570304*b*c^8*d^3*e*
g + 37952*b*c^8*d^2*e^2*f - 54144*b^2*c^7*d*e^3*f - 789632*b^3*c^6*d*e^3*g + 1773312*b^2*c^7*d^2*e^2*g)/(13513
5*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((24736*b^2*c^7*e^4*f +
113056*b^3*c^6*e^4*g + 88064*c^9*d^2*e^2*f - 811008*c^9*d^3*e*g - 93312*b*c^8*d*e^3*f + 1260544*b*c^8*d^2*e^2*
g - 653600*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(773*b^2*e^2*g + 2752*c^2*d^2*g + 88*b*
c*e^2*f - 164*c^2*d*e*f - 2916*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(22*b*e*g - 41*c*d*g + c*
e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (1181184*c^9*d^4*g + 3
0048*b^3*c^6*e^4*f + 115328*b^4*c^5*e^4*g - 146944*c^9*d^3*e*f - 2694400*b*c^8*d^3*e*g + 264448*b*c^8*d^2*e^2*
f - 155552*b^2*c^7*d*e^3*f - 839616*b^3*c^6*d*e^3*g + 2269824*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))
*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((31616*b^2*c^7*e^4*f + 171456*b^3*c^6*e^4*g +
114304*c^9*d^2*e^2*f - 1251328*c^9*d^3*e*g - 120192*b*c^8*d*e^3*f + 1934144*b*c^8*d^2*e^2*g - 997120*b^2*c^7*d
*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(494*b^2*e^2*g + 1786*c^2*d^2*g + 49*b*c*e^2*f - 92*c^2*d*e
*f - 1878*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(49*b*e*g - 92*c*d*g + 2*c*e*f))/(135135*(b*e -
2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (786432*c^9*d^4*g + 5568*b^3*c^6*e^4*f + 1
32096*b^4*c^5*e^4*g + 75776*c^9*d^3*e*f - 2236416*b*c^8*d^3*e*g - 56512*b*c^8*d^2*e^2*f - 1792*b^2*c^7*d*e^3*f
- 890880*b^3*c^6*d*e^3*g + 2174976*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*
e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((29376*b^2*c^7*e^4*f + 155520*b^3*c^6*e^4*g + 105856*c^9*d^2*e^2*f - 113
2544*c^9*d^3*e*g - 111488*b*c^8*d*e^3*f + 1751744*b*c^8*d^2*e^2*g - 903744*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e -
2*c*d)^7) - (d*((64*c^7*(459*b^2*e^2*g + 1654*c^2*d^2*g + 47*b*c*e^2*f - 88*c^2*d*e*f - 1742*b*c*d*e*g))/(135
135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(47*b*e*g - 88*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*
g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (1093632*c^9*d^4*g + 34176*b^3*c^6*e^4*f + 129024*b^4*c^5*e^4*g - 16
1792*c^9*d^3*e*f - 2672640*b*c^8*d^3*e*g + 295616*b*c^8*d^2*e^2*f - 175680*b^2*c^7*d*e^3*f - 910848*b^3*c^6*d*
e^3*g + 2368512*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/
(d + e*x) + (((d*((26912*b^2*c^7*e^4*f + 126912*b^3*c^6*e^4*g + 96256*c^9*d^2*e^2*f - 913408*c^9*d^3*e*g - 101
760*b*c^8*d*e^3*f + 1418240*b*c^8*d^2*e^2*g - 734560*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c
^7*(841*b^2*e^2*g + 3008*c^2*d^2*g + 92*b*c*e^2*f - 172*c^2*d*e*f - 3180*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7)
- (d*((128*c^8*e*(23*b*e*g - 43*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*
d)^7)))/e))/e))/e - (1341440*c^9*d^4*g + 32960*b^3*c^6*e^4*f + 130816*b^4*c^5*e^4*g - 161792*c^9*d^3*e*f - 305
8688*b*c^8*d^3*e*g + 290816*b*c^8*d^2*e^2*f - 170848*b^2*c^7*d*e^3*f - 952576*b^3*c^6*d*e^3*g + 2575872*b^2*c^
7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((293
44*b^2*c^7*e^4*f + 144096*b^3*c^6*e^4*g + 105472*c^9*d^2*e^2*f - 1041408*c^9*d^3*e*g - 111232*b*c^8*d*e^3*f +
1614848*b*c^8*d^2*e^2*g - 835232*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(917*b^2*e^2*g +
3296*c^2*d^2*g + 96*b*c*e^2*f - 180*c^2*d*e*f - 3476*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(24
*b*e*g - 45*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e -
(1546752*c^9*d^4*g + 36256*b^3*c^6*e^4*f + 150592*b^4*c^5*e^4*g - 178688*c^9*d^3*e*f - 3524864*b*c^8*d^3*e*g +
320768*b*c^8*d^2*e^2*f - 188192*b^2*c^7*d*e^3*f - 1096896*b^3*c^6*d*e^3*g + 2967168*b^2*c^7*d^2*e^2*g)/(13513
5*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((34112*b^2*c^7*e^4*f +
190592*b^3*c^6*e^4*g + 123776*c^9*d^2*e^2*f - 1394688*c^9*d^3*e*g - 129920*b*c^8*d*e^3*f + 2153920*b*c^8*d^2*e
^2*g - 1109440*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(533*b^2*e^2*g + 1934*c^2*d^2*g + 5
1*b*c*e^2*f - 96*c^2*d*e*f - 2030*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(51*b*e*g - 96*c*d*g +
2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (2084864*c^9*d^4*g
+ 57472*b^3*c^6*e^4*f + 196864*b^4*c^5*e^4*g - 329728*c^9*d^3*e*f - 4702208*b*c^8*d^3*e*g + 556480*b*c^8*d^2*
e^2*f - 310720*b^2*c^7*d*e^3*f - 1441792*b^3*c^6*d*e^3*g + 3926016*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d
)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((39872*b^2*c^7*e^4*f + 241536*b^3*c^6*e^4
*g + 145792*c^9*d^2*e^2*f - 1779712*c^9*d^3*e*g - 152448*b*c^8*d*e^3*f + 2742464*b*c^8*d^2*e^2*g - 1409344*b^2
*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(623*b^2*e^2*g + 2278*c^2*d^2*g + 55*b*c*e^2*f - 104*
c^2*d*e*f - 2382*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(55*b*e*g - 104*c*d*g + 2*c*e*f))/(13513
5*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (2797568*c^9*d^4*g + 50816*b^3*c^6
*e^4*f + 270208*b^4*c^5*e^4*g - 253952*c^9*d^3*e*f - 6358016*b*c^8*d^3*e*g + 453824*b*c^8*d^2*e^2*f - 265024*b
^2*c^7*d*e^3*f - 1970944*b^3*c^6*d*e^3*g + 5340672*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c
*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*b^4*e^3*g - 16*b*c^3*d^3*g + 6*b^3*c*e^3*f + 14*b*c^3*d^2*
e*f - 12*b^3*c*d*e^2*g - 18*b^2*c^2*d*e^2*f + 24*b^2*c^2*d^2*e*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (
d*((18*b^2*c^2*e^3*f - 32*c^4*d^3*g + 10*b^3*c*e^3*g + 28*c^4*d^2*e*f - 44*b*c^3*d*e^2*f + 62*b*c^3*d^2*e*g -
42*b^2*c^2*d*e^2*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) + (d*((d*((2*c^3*e^2*(7*b*e*g - 8*c*d*g + 2*c*e*f
))/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (4*c^4*d*e^2*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e - (
18*b^2*c^2*e^3*g + 14*b*c^3*e^3*f - 16*c^4*d*e^2*f + 28*c^4*d^2*e*g - 44*b*c^3*d*e^2*g)/(13*(11*b*e^2 - 22*c*d
*e)*(b*e - 2*c*d))))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 - (((d*((1472*b^2*c^4*e^3
*f - 21248*c^6*d^3*g + 3328*b^3*c^3*e^3*g + 4880*c^6*d^2*e*f - 5360*b*c^5*d*e^2*f + 34312*b*c^5*d^2*e*g - 1849
6*b^2*c^4*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((8*c^5*e^2*(33*b*e*g - 60*c*d*g + 2*c
*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)
^3)))/e - (1472*b^2*c^4*e^3*g + 264*b*c^5*e^3*f - 480*c^6*d*e^2*f + 4880*c^6*d^2*e*g - 5360*b*c^5*d*e^2*g)/(12
87*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (8*b*c^2*(166*b^3*e^3*g - 1328*c^3*d^3*g + 84*b^2*c*e^3*f +
305*c^3*d^2*e*f - 320*b*c^2*d*e^2*f + 1992*b*c^2*d^2*e*g - 996*b^2*c*d*e^2*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*
e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((2856*b^2*c^5*e^3*f - 45824*c^
7*d^3*g + 7032*b^3*c^4*e^3*g + 9472*c^7*d^2*e*f - 10400*b*c^6*d*e^2*f + 73472*b*c^6*d^2*e*g - 39336*b^2*c^5*d*
e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(16*b*e*g - 29*c*d*g + c*e*f))/(9009*
(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (28
56*b^2*c^5*e^3*g + 512*b*c^6*e^3*f - 928*c^7*d*e^2*f + 9472*c^7*d^2*e*g - 10400*b*c^6*d*e^2*g)/(9009*(5*b*e^2
- 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (8*b*c^3*(358*b^3*e^3*g - 2864*c^3*d^3*g + 163*b^2*c*e^3*f + 592*c^3*d^
2*e*f - 621*b*c^2*d*e^2*f + 4296*b*c^2*d^2*e*g - 2148*b^2*c*d*e^2*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)
^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((3208*b^2*c^5*e^3*f - 53248*c^7*d^3*g +
8128*b^3*c^4*e^3*g + 10752*c^7*d^2*e*f - 11744*b*c^6*d*e^2*f + 85248*b*c^6*d^2*e*g - 45560*b^2*c^5*d*e^2*g)/(9
009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(17*b*e*g - 31*c*d*g + c*e*f))/(9009*(5*b*e^2
- 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (3208*b^2*c^
5*e^3*g + 544*b*c^6*e^3*f - 992*c^7*d*e^2*f + 10752*c^7*d^2*e*g - 11744*b*c^6*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d
*e)*(b*e - 2*c*d)^4)))/e))/e - (8*b*c^3*(416*b^3*e^3*g - 3328*c^3*d^3*g + 184*b^2*c*e^3*f + 672*c^3*d^2*e*f -
703*b*c^2*d*e^2*f + 4992*b*c^2*d^2*e*g - 2496*b^2*c*d*e^2*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*
d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((8*c^4*e^2*(16*b*e*g - 29*c*d*g + c*e*f)
)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e
- (8*c^3*e*(84*b^2*e^2*g + 275*c^2*d^2*g + 16*b*c*e^2*f - 29*c^2*d*e*f - 304*b*c*d*e*g))/(143*(9*b*e^2 - 18*c*
d*e)*(b*e - 2*c*d)^2)))/e + (672*b^2*c^3*e^4*f + 1328*b^3*c^2*e^4*g + 2200*c^5*d^2*e^2*f - 8184*c^5*d^3*e*g -
2432*b*c^4*d*e^3*f + 13376*b*c^4*d^2*e^2*g - 7296*b^2*c^3*d*e^3*g)/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2
)))/e - (8*c*(b*e - c*d)*(97*b^3*e^3*g - 776*c^3*d^3*g + 69*b^2*c*e^3*f + 247*c^3*d^2*e*f - 261*b*c^2*d*e^2*f
+ 1164*b*c^2*d^2*e*g - 582*b^2*c*d*e^2*g))/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 -
b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((d*((d*((d*((16*c^5*e^2*(9*b*e*g - 15*c*d*g + c*e*f))/(1287*(7*b*e^2 -
14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*c^4*e*(35*
b^2*e^2*g + 96*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 116*b*c*d*e*g))/(429*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*
d)^3)))/e + (420*b^2*c^4*e^4*f + 576*b^3*c^3*e^4*g + 1152*c^6*d^2*e^2*f - 3200*c^6*d^3*e*g - 1392*b*c^5*d*e^3*
f + 5376*b*c^5*d^2*e^2*g - 3036*b^2*c^4*d*e^3*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (3040*c^6
*d^4*g + 356*b^3*c^3*e^4*f + 300*b^4*c^2*e^4*g - 1440*c^6*d^3*e*f - 6960*b*c^5*d^3*e*g + 2736*b*c^5*d^2*e^2*f
- 1716*b^2*c^4*d*e^3*f - 2180*b^3*c^3*d*e^3*g + 5880*b^2*c^4*d^2*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*
c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((d*((16*c^6*e^2*(17*b*e*g - 28*c
*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*
e - 2*c*d)^4)))/e - (8*c^5*e*(105*b^2*e^2*g + 296*c^2*d^2*g + 34*b*c*e^2*f - 56*c^2*d*e*f - 352*b*c*d*e*g))/(9
009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (840*b^2*c^5*e^4*f + 1308*b^3*c^4*e^4*g + 2368*c^7*d^2*e^2*f -
7616*c^7*d^3*e*g - 2816*b*c^6*d*e^3*f + 12608*b*c^6*d^2*e^2*g - 7008*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c
*d*e)*(b*e - 2*c*d)^4)))/e - (8064*c^7*d^4*g + 756*b^3*c^4*e^4*f + 780*b^4*c^3*e^4*g - 3200*c^7*d^3*e*f - 1833
6*b*c^6*d^3*e*g + 5984*b*c^6*d^2*e^2*f - 3696*b^2*c^5*d*e^3*f - 5688*b^3*c^4*d*e^3*g + 15408*b^2*c^5*d^2*e^2*g
)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - ((
(d*((d*((d*((8*c^5*e^2*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*
d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*c^4*e*(146*b^2*e^2*g + 474*c^2*d^2*g + 29*b*c*e^
2*f - 52*c^2*d*e*f - 526*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (1168*b^2*c^4*e^4*f + 2
512*b^3*c^3*e^4*g + 3792*c^6*d^2*e^2*f - 15872*c^6*d^3*e*g - 4208*b*c^5*d*e^3*f + 25704*b*c^5*d^2*e^2*g - 1390
4*b^2*c^4*d*e^3*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (11200*c^6*d^4*g + 792*b^3*c^3*e^4*f +
1560*b^4*c^2*e^4*g - 2112*c^6*d^3*e*f - 29280*b*c^5*d^3*e*g + 5064*b*c^5*d^2*e^2*f - 3584*b^2*c^4*d*e^3*f - 10
760*b^3*c^3*d*e^3*g + 27120*b^2*c^4*d^2*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x
^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((d*((8*c^5*e^2*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(1287*(7*
b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*c^4
*e*(163*b^2*e^2*g + 534*c^2*d^2*g + 31*b*c*e^2*f - 56*c^2*d*e*f - 590*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(
b*e - 2*c*d)^3)))/e + (1304*b^2*c^4*e^4*f + 2864*b^3*c^3*e^4*g + 4272*c^6*d^2*e^2*f - 18176*c^6*d^3*e*g - 4720
*b*c^5*d*e^3*f + 29400*b*c^5*d^2*e^2*g - 15880*b^2*c^4*d*e^3*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))
)/e - (21760*c^6*d^4*g + 1552*b^3*c^3*e^4*f + 2016*b^4*c^2*e^4*g - 7680*c^6*d^3*e*f - 48768*b*c^5*d^3*e*g + 13
656*b*c^5*d^2*e^2*f - 8008*b^2*c^4*d*e^3*f - 14816*b^3*c^3*d*e^3*g + 40512*b^2*c^4*d^2*e^2*g)/(1287*e*(7*b*e^2
- 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((d*((32*c^
6*e^2*(13*b*e*g - 23*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b
*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(249*b^2*e^2*g + 800*c^2*d^2*g + 52*b*c*e^2*f - 92*c^2*d*e*f
- 892*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (1992*b^2*c^5*e^4*f + 4512*b^3*c^4*e^4*g +
6400*c^7*d^2*e^2*f - 28928*c^7*d^3*e*g - 7136*b*c^6*d*e^3*f + 46592*b*c^6*d^2*e^2*g - 25080*b^2*c^5*d*e^3*g)/
(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (18624*c^7*d^4*g + 1224*b^3*c^4*e^4*f + 2808*b^4*c^3*e^4*g
- 2624*c^7*d^3*e*f - 50400*b*c^6*d^3*e*g + 7136*b*c^6*d^2*e^2*f - 5352*b^2*c^5*d*e^3*f - 19176*b^3*c^4*d*e^3*
g + 47664*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2
*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((64*c^7*e^2*(8*b*e*g - 13*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b
*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(51*b^2*e^2*g +
146*c^2*d^2*g + 16*b*c*e^2*f - 26*c^2*d*e*f - 172*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e
+ (1632*b^2*c^6*e^4*f + 2784*b^3*c^5*e^4*g + 4672*c^8*d^2*e^2*f - 16704*c^8*d^3*e*g - 5504*b*c^7*d*e^3*f + 273
92*b*c^7*d^2*e^2*g - 15072*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (18432*c^8*d^4
*g + 1488*b^3*c^5*e^4*f + 1800*b^4*c^4*e^4*g - 6336*c^8*d^3*e*f - 42048*b*c^7*d^3*e*g + 11840*b*c^7*d^2*e^2*f
- 7296*b^2*c^6*d*e^3*f - 13104*b^3*c^5*d*e^3*g + 35424*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e -
2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((32*c^6*e^2*(14*b*e*g - 25
*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*
e - 2*c*d)^4)))/e - (8*c^5*e*(281*b^2*e^2*g + 912*c^2*d^2*g + 56*b*c*e^2*f - 100*c^2*d*e*f - 1012*b*c*d*e*g))/
(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (2248*b^2*c^5*e^4*f + 5224*b^3*c^4*e^4*g + 7296*c^7*d^2*e^2*
f - 33664*c^7*d^3*e*g - 8096*b*c^6*d*e^3*f + 54144*b*c^6*d^2*e^2*g - 29096*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 -
10*c*d*e)*(b*e - 2*c*d)^4)))/e - (43264*c^7*d^4*g + 2648*b^3*c^4*e^4*f + 3992*b^4*c^3*e^4*g - 13056*c^7*d^3*e
*f - 96832*b*c^6*d^3*e*g + 23232*b*c^6*d^2*e^2*f - 13640*b^2*c^5*d*e^3*f - 29360*b^3*c^4*d*e^3*g + 80352*b^2*c
^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d +
e*x)^3 + (((d*((d*((d*((32*c^6*e^2*(15*b*e*g - 27*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)
- (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(313*b^2*e^2*g + 1024*c^2*d^2*g
+ 60*b*c*e^2*f - 108*c^2*d*e*f - 1132*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (2504*b^2
*c^5*e^4*f + 5936*b^3*c^4*e^4*g + 8192*c^7*d^2*e^2*f - 38400*c^7*d^3*e*g - 9056*b*c^6*d*e^3*f + 61696*b*c^6*d^
2*e^2*g - 33112*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (49664*c^7*d^4*g + 2992*b
^3*c^4*e^4*f + 4576*b^4*c^3*e^4*g - 14848*c^7*d^3*e*f - 111104*b*c^6*d^3*e*g + 26368*b*c^6*d^2*e^2*f - 15448*b
^2*c^5*d*e^3*f - 33664*b^3*c^4*d*e^3*g + 92160*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4
))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((d*((32*c^7*e^2*(23*b*e*g - 40*c*d*g +
2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*
c*d)^5)))/e - (16*c^6*e*(207*b^2*e^2*g + 656*c^2*d^2*g + 46*b*c*e^2*f - 80*c^2*d*e*f - 736*b*c*d*e*g))/(45045*
(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (3312*b^2*c^6*e^4*f + 7656*b^3*c^5*e^4*g + 10496*c^8*d^2*e^2*f - 49
408*c^8*d^3*e*g - 11776*b*c^7*d*e^3*f + 79360*b*c^7*d^2*e^2*g - 42624*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c
*d*e)*(b*e - 2*c*d)^5)))/e - (30528*c^8*d^4*g + 2016*b^3*c^5*e^4*f + 4728*b^4*c^4*e^4*g - 4288*c^8*d^3*e*f - 8
3616*b*c^7*d^3*e*g + 11680*b*c^7*d^2*e^2*f - 8784*b^2*c^6*d*e^3*f - 32184*b^3*c^5*d*e^3*g + 79632*b^2*c^6*d^2*
e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2
- (((d*((d*((d*((16*c^6*e^2*(39*b*e*g - 72*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (3
2*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(287*b^2*e^2*g + 998*c^2*d^2*g + 39
*b*c*e^2*f - 72*c^2*d*e*f - 1070*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (4592*b^2*c^5*e
^4*f + 16160*b^3*c^4*e^4*g + 15968*c^7*d^2*e^2*f - 112128*c^7*d^3*e*g - 17120*b*c^6*d*e^3*f + 176176*b*c^6*d^2
*e^2*g - 92368*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (52736*c^7*d^4*g + 1120*b^
3*c^4*e^4*f + 10816*b^4*c^3*e^4*g + 8192*c^7*d^3*e*f - 165632*b*c^6*d^3*e*g - 4304*b*c^6*d^2*e^2*f - 2128*b^2*
c^5*d*e^3*f - 71488*b^3*c^4*d*e^3*g + 169344*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))
*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((d*((32*c^7*e^2*(25*b*e*g - 44*c*d*g + 2
*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*
d)^5)))/e - (16*c^6*e*(237*b^2*e^2*g + 760*c^2*d^2*g + 50*b*c*e^2*f - 88*c^2*d*e*f - 848*b*c*d*e*g))/(45045*(3
*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (3792*b^2*c^6*e^4*f + 9048*b^3*c^5*e^4*g + 12160*c^8*d^2*e^2*f - 5875
2*c^8*d^3*e*g - 13568*b*c^7*d*e^3*f + 94208*b*c^7*d^2*e^2*g - 50496*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d
*e)*(b*e - 2*c*d)^5)))/e - (75456*c^8*d^4*g + 4224*b^3*c^5*e^4*f + 7128*b^4*c^4*e^4*g - 20160*c^8*d^3*e*f - 17
0208*b*c^7*d^3*e*g + 36320*b*c^7*d^2*e^2*f - 21552*b^2*c^6*d*e^3*f - 52200*b^3*c^5*d*e^3*g + 142128*b^2*c^6*d^
2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)
^2 - (((d*((d*((d*((32*c^7*e^2*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) -
(64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(89*b^2*e^2*g + 288*c^2*d^2*g + 1
8*b*c*e^2*f - 32*c^2*d*e*f - 320*b*c*d*e*g))/(15015*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (4272*b^2*c^6*e
^4*f + 10440*b^3*c^5*e^4*g + 13824*c^8*d^2*e^2*f - 68096*c^8*d^3*e*g - 15360*b*c^7*d*e^3*f + 109056*b*c^7*d^2*
e^2*g - 58368*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (88128*c^8*d^4*g + 4832*b^3
*c^5*e^4*f + 8312*b^4*c^4*e^4*g - 23232*c^8*d^3*e*f - 198688*b*c^7*d^3*e*g + 41760*b*c^7*d^2*e^2*f - 24720*b^2
*c^6*d*e^3*f - 60888*b^3*c^5*d*e^3*g + 165840*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)
)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((16*c^6*e^2*(37*b*e*g - 68*c*d*g +
2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c
*d)^4)))/e - (16*c^5*e*(262*b^2*e^2*g + 906*c^2*d^2*g + 37*b*c*e^2*f - 68*c^2*d*e*f - 974*b*c*d*e*g))/(9009*(5
*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (4192*b^2*c^5*e^4*f + 14368*b^3*c^4*e^4*g + 14496*c^7*d^2*e^2*f - 99
328*c^7*d^3*e*g - 15584*b*c^6*d*e^3*f + 156240*b*c^6*d^2*e^2*g - 82016*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*
c*d*e)*(b*e - 2*c*d)^4)))/e - (93568*c^7*d^4*g + 4592*b^3*c^4*e^4*f + 10736*b^4*c^3*e^4*g - 21120*c^7*d^3*e*f
- 226240*b*c^6*d^3*e*g + 38928*b*c^6*d^2*e^2*f - 23360*b^2*c^5*d*e^3*f - 76112*b^3*c^4*d*e^3*g + 199008*b^2*c^
5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d +
e*x)^3 - (((d*((d*((d*((32*c^7*e^2*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5
) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(297*b^2*e^2*g + 968*c^2*d^2*
g + 58*b*c*e^2*f - 104*c^2*d*e*f - 1072*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (4752*b^
2*c^6*e^4*f + 11832*b^3*c^5*e^4*g + 15488*c^8*d^2*e^2*f - 77440*c^8*d^3*e*g - 17152*b*c^7*d*e^3*f + 123904*b*c
^7*d^2*e^2*g - 66240*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (100800*c^8*d^4*g +
5440*b^3*c^5*e^4*f + 9496*b^4*c^4*e^4*g - 26304*c^8*d^3*e*f - 227168*b*c^7*d^3*e*g + 47200*b*c^7*d^2*e^2*f - 2
7888*b^2*c^6*d*e^3*f - 69576*b^3*c^5*d*e^3*g + 189552*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2
*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((64*c^7*e^2*(17*b*e*g - 31*
c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e
- 2*c*d)^5)))/e - (16*c^6*e*(449*b^2*e^2*g + 1536*c^2*d^2*g + 68*b*c*e^2*f - 124*c^2*d*e*f - 1660*b*c*d*e*g))
/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (7184*b^2*c^6*e^4*f + 23936*b^3*c^5*e^4*g + 24576*c^8*d^2*e
^2*f - 164864*c^8*d^3*e*g - 26560*b*c^7*d*e^3*f + 259584*b*c^7*d^2*e^2*g - 136432*b^2*c^6*d*e^3*g)/(45045*e*(3
*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (77696*c^8*d^4*g + 2896*b^3*c^5*e^4*f + 15376*b^4*c^4*e^4*g + 3456*c^
8*d^3*e*f - 239552*b*c^7*d^3*e*g + 7104*b*c^7*d^2*e^2*f - 10192*b^2*c^6*d*e^3*f - 101968*b^3*c^5*d*e^3*g + 242
784*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1
/2))/(d + e*x)^2 + (((d*((d*((d*((64*c^7*e^2*(18*b*e*g - 33*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e -
2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(493*b^2*e^2*g + 1696
*c^2*d^2*g + 72*b*c*e^2*f - 132*c^2*d*e*f - 1828*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e +
(7888*b^2*c^6*e^4*f + 26896*b^3*c^5*e^4*g + 27136*c^8*d^2*e^2*f - 185856*c^8*d^3*e*g - 29248*b*c^7*d*e^3*f +
292352*b*c^7*d^2*e^2*g - 153488*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (86272*c^
8*d^4*g + 3056*b^3*c^5*e^4*f + 17312*b^4*c^4*e^4*g + 4864*c^8*d^3*e*f - 267904*b*c^7*d^3*e*g + 6272*b*c^7*d^2*
e^2*f - 10448*b^2*c^6*d*e^3*f - 114656*b^3*c^5*d*e^3*g + 272448*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e
)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((64*c^7*e^2*(16*b
*e*g - 29*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c
*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(405*b^2*e^2*g + 1376*c^2*d^2*g + 64*b*c*e^2*f - 116*c^2*d*e*f - 1492*b
*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (6480*b^2*c^6*e^4*f + 20976*b^3*c^5*e^4*g + 22016
*c^8*d^2*e^2*f - 143872*c^8*d^3*e*g - 23872*b*c^7*d*e^3*f + 226816*b*c^7*d^2*e^2*g - 119376*b^2*c^6*d*e^3*g)/(
45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (142080*c^8*d^4*g + 7056*b^3*c^5*e^4*f + 15840*b^4*c^4*e^4*
g - 32512*c^8*d^3*e*f - 339840*b*c^7*d^3*e*g + 59776*b*c^7*d^2*e^2*f - 35856*b^2*c^6*d*e^3*f - 112800*b^3*c^5*
d*e^3*g + 296640*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e
- b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((16*c^6*e^2*(41*b*e*g - 76*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10
*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(316*b
^2*e^2*g + 1106*c^2*d^2*g + 41*b*c*e^2*f - 76*c^2*d*e*f - 1182*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2
*c*d)^4)))/e + (5056*b^2*c^5*e^4*f + 18432*b^3*c^4*e^4*g + 17696*c^7*d^2*e^2*f - 128512*c^7*d^3*e*g - 18912*b*
c^6*d*e^3*f + 201616*b*c^6*d^2*e^2*g - 105536*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))
/e - (212992*c^7*d^4*g + 7744*b^3*c^4*e^4*f + 18656*b^4*c^3*e^4*g - 43008*c^7*d^3*e*f - 468736*b*c^6*d^3*e*g +
73360*b*c^6*d^2*e^2*f - 41408*b^2*c^5*d*e^3*f - 138560*b^3*c^4*d*e^3*g + 383616*b^2*c^5*d^2*e^2*g)/(9009*e*(5
*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*(
(64*c^7*e^2*(18*b*e*g - 33*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(450
45*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(167*b^2*e^2*g + 576*c^2*d^2*g + 24*b*c*e^2*f - 44*c^2
*d*e*f - 620*b*c*d*e*g))/(15015*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8016*b^2*c^6*e^4*f + 27792*b^3*c^5
*e^4*g + 27648*c^8*d^2*e^2*f - 192512*c^8*d^3*e*g - 29760*b*c^7*d*e^3*f + 302592*b*c^7*d^2*e^2*g - 158736*b^2*
c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (297216*c^8*d^4*g + 10736*b^3*c^5*e^4*f + 271
04*b^4*c^4*e^4*g - 56064*c^8*d^3*e*f - 662656*b*c^7*d^3*e*g + 97920*b*c^7*d^2*e^2*f - 56400*b^2*c^6*d*e^3*f -
199776*b^3*c^5*d*e^3*g + 548160*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e
^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((32*c^7*e^2*(47*b*e*g - 88*c*d*g + 2*c*e*f))/(450
45*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (
32*c^6*e*(439*b^2*e^2*g + 1574*c^2*d^2*g + 47*b*c*e^2*f - 88*c^2*d*e*f - 1662*b*c*d*e*g))/(45045*(3*b*e^2 - 6*
c*d*e)*(b*e - 2*c*d)^5)))/e + (14048*b^2*c^6*e^4*f + 67200*b^3*c^5*e^4*g + 50368*c^8*d^2*e^2*f - 484352*c^8*d^
3*e*g - 53184*b*c^7*d*e^3*f + 751712*b*c^7*d^2*e^2*g - 389152*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b
*e - 2*c*d)^5)))/e - (32768*c^8*d^4*g - 640*b^3*c^5*e^4*f + 35968*b^4*c^4*e^4*g + 58368*c^8*d^3*e*f - 336896*b
*c^7*d^3*e*g - 62368*b*c^7*d^2*e^2*f + 17888*b^2*c^6*d*e^3*f - 219904*b^3*c^5*d*e^3*g + 456192*b^2*c^6*d^2*e^2
*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 +
(((d*((d*((d*((64*c^7*e^2*(19*b*e*g - 35*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8
*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(549*b^2*e^2*g + 1904*c^2*d^2*g + 76*b*c
*e^2*f - 140*c^2*d*e*f - 2044*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8784*b^2*c^6*e^4*
f + 31200*b^3*c^5*e^4*g + 30464*c^8*d^2*e^2*f - 216832*c^8*d^3*e*g - 32704*b*c^7*d*e^3*f + 340480*b*c^7*d^2*e^
2*g - 178416*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (337536*c^8*d^4*g + 11920*b^
3*c^5*e^4*f + 30736*b^4*c^4*e^4*g - 62592*c^8*d^3*e*f - 752192*b*c^7*d^3*e*g + 109120*b*c^7*d^2*e^2*f - 62736*
b^2*c^6*d*e^3*f - 226608*b^3*c^5*d*e^3*g + 621984*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d
)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((64*c^7*e^2*(20*b*e*g - 37*c*d*
g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2
*c*d)^5)))/e - (16*c^6*e*(605*b^2*e^2*g + 2112*c^2*d^2*g + 80*b*c*e^2*f - 148*c^2*d*e*f - 2260*b*c*d*e*g))/(45
045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (9680*b^2*c^6*e^4*f + 35504*b^3*c^5*e^4*g + 33792*c^8*d^2*e^2*f
- 247808*c^8*d^3*e*g - 36160*b*c^7*d*e^3*f + 388608*b*c^7*d^2*e^2*g - 203344*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e
^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (390144*c^8*d^4*g + 13360*b^3*c^5*e^4*f + 35456*b^4*c^4*e^4*g - 70656*c^8
*d^3*e*f - 868864*b*c^7*d^3*e*g + 122880*b*c^7*d^2*e^2*f - 70480*b^2*c^6*d*e^3*f - 261504*b^3*c^5*d*e^3*g + 71
8080*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(
1/2))/(d + e*x)^2 - (((d*((d*((d*((32*c^7*e^2*(43*b*e*g - 80*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e
- 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(373*b^2*e^2*g + 1
326*c^2*d^2*g + 43*b*c*e^2*f - 80*c^2*d*e*f - 1406*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e
+ (11936*b^2*c^6*e^4*f + 53888*b^3*c^5*e^4*g + 42432*c^8*d^2*e^2*f - 386048*c^8*d^3*e*g - 44992*b*c^7*d*e^3*f
+ 600288*b*c^7*d^2*e^2*g - 311392*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (31539
2*c^8*d^4*g + 6784*b^3*c^5*e^4*f + 43264*b^4*c^4*e^4*g - 9216*c^8*d^3*e*f - 819200*b*c^7*d^3*e*g + 35040*b*c^7
*d^2*e^2*f - 28768*b^2*c^6*d*e^3*f - 299008*b^3*c^5*d*e^3*g + 755712*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*
c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((32*c^7*e^2*
(45*b*e*g - 84*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^
2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(404*b^2*e^2*g + 1442*c^2*d^2*g + 45*b*c*e^2*f - 84*c^2*d*e*f -
1526*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (12928*b^2*c^6*e^4*f + 59872*b^3*c^5*e^4*g
+ 46144*c^8*d^2*e^2*f - 430080*c^8*d^3*e*g - 48832*b*c^7*d*e^3*f + 668192*b*c^7*d^2*e^2*g - 346304*b^2*c^6*d*e
^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (564736*c^8*d^4*g + 23072*b^3*c^5*e^4*f + 53696*b^4*
c^4*e^4*g - 135680*c^8*d^3*e*f - 1276672*b*c^7*d^3*e*g + 226592*b*c^7*d^2*e^2*f - 125504*b^2*c^6*d*e^3*f - 392
768*b^3*c^5*d*e^3*g + 1067904*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2
*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((32*c^7*e^2*(49*b*e*g - 92*c*d*g + 2*c*e*f))/(45045
*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32
*c^6*e*(478*b^2*e^2*g + 1722*c^2*d^2*g + 49*b*c*e^2*f - 92*c^2*d*e*f - 1814*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*
d*e)*(b*e - 2*c*d)^5)))/e + (15296*b^2*c^6*e^4*f + 76256*b^3*c^5*e^4*g + 55104*c^8*d^2*e^2*f - 551936*c^8*d^3*
e*g - 58048*b*c^7*d*e^3*f + 855456*b*c^7*d^2*e^2*g - 442240*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e
- 2*c*d)^5)))/e - (1026048*c^8*d^4*g + 23008*b^3*c^5*e^4*f + 90752*b^4*c^4*e^4*g - 125952*c^8*d^3*e*f - 22650
88*b*c^7*d^3*e*g + 216480*b*c^7*d^2*e^2*f - 122752*b^2*c^6*d*e^3*f - 672768*b^3*c^5*d*e^3*g + 1858560*b^2*c^6*
d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*
x)^2 + (((d*((48512*b^2*c^7*e^4*f + 336896*b^3*c^6*e^4*g + 179072*c^9*d^2*e^2*f - 2508672*c^9*d^3*e*g - 186368
*b*c^8*d*e^3*f + 3852544*b*c^8*d^2*e^2*g - 1972864*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^
7*(379*b^2*e^2*g + 1399*c^2*d^2*g + 30*b*c*e^2*f - 57*c^2*d*e*f - 1456*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) -
(d*((128*c^8*e*(30*b*e*g - 57*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)
^7)))/e))/e))/e - (128*c^5*(b*e - c*d)*(2282*b^3*e^3*g - 18256*c^3*d^3*g + 350*b^2*c*e^3*f + 1343*c^3*d^2*e*f
- 1371*b*c^2*d*e^2*f + 27384*b*c^2*d^2*e*g - 13692*b^2*c*d*e^2*g))/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^
2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((d*((4*c^3*e^2*(10*b*e*g - 17*c*d*g + c*e*f))/(13*(11*b*
e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (4*c^4*d*e^2*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e - (4*c^2*e*(24*b
^2*e^2*g + 59*c^2*d^2*g + 10*b*c*e^2*f - 17*c^2*d*e*f - 76*b*c*d*e*g))/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)
)))/e + (96*b^2*c^2*e^4*f + 236*c^4*d^2*e^2*f + 88*b^3*c*e^4*g - 396*c^4*d^3*e*g - 304*b*c^3*d*e^3*f + 712*b*c
^3*d^2*e^2*g - 432*b^2*c^2*d*e^3*g)/(13*e*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e - (4*(b*e - c*d)*(7*b^3*e^3
*g - 56*c^3*d^3*g + 15*b^2*c*e^3*f + 43*c^3*d^2*e*f - 51*b*c^2*d*e^2*f + 84*b*c^2*d^2*e*g - 42*b^2*c*d*e^2*g))
/(13*e*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 - (((d*(
(132*b^2*c^4*e^3*f - 608*c^6*d^3*g + 126*b^3*c^3*e^3*g + 288*c^6*d^2*e*f - 384*b*c^5*d*e^2*f + 1056*b*c^5*d^2*
e*g - 624*b^2*c^4*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((8*c^5*e^2*(9*b*e*g - 12*c*d*
g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e -
2*c*d)^3)))/e - (4*c^4*e*(11*b^2*e^2*g + 24*c^2*d^2*g + 6*b*c*e^2*f - 8*c^2*d*e*f - 32*b*c*d*e*g))/(429*(7*b*
e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (50*b^3*c^3*e^3*f + 38*b^4*c^2*e^3*g - 304*b*c^5*d^3*g + 144*b*c^5*
d^2*e*f - 168*b^2*c^4*d*e^2*f + 456*b^2*c^4*d^2*e*g - 228*b^3*c^3*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2
*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((336*b^2*c^5*e^3*f - 2016*c^7*d^3*g
+ 384*b^3*c^4*e^3*g + 800*c^7*d^2*e*f - 1024*b*c^6*d*e^2*f + 3424*b*c^6*d^2*e*g - 1968*b^2*c^5*d*e^2*g)/(9009
*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(5*b*e*g - 7*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*
c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(21*b^2
*e^2*g + 50*c^2*d^2*g + 10*b*c*e^2*f - 14*c^2*d*e*f - 64*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^
4)))/e))/e - (132*b^3*c^4*e^3*f + 126*b^4*c^3*e^3*g - 1008*b*c^6*d^3*g + 400*b*c^6*d^2*e*f - 456*b^2*c^5*d*e^2
*f + 1512*b^2*c^5*d^2*e*g - 756*b^3*c^4*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x
^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((984*b^2*c^5*e^3*f - 9216*c^7*d^3*g + 1572*b^3*c^4*e^3*g + 28
16*c^7*d^2*e*f - 3328*b*c^6*d*e^2*f + 15232*b*c^6*d^2*e*g - 8448*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(
b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(19*b*e*g - 32*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d
)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(123*b^2*e^2*g + 352*c^2*d^
2*g + 38*b*c*e^2*f - 64*c^2*d*e*f - 416*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (420
*b^3*c^4*e^3*f + 576*b^4*c^3*e^3*g - 4608*b*c^6*d^3*g + 1408*b*c^6*d^2*e*f - 1536*b^2*c^5*d*e^2*f + 6912*b^2*c
^5*d^2*e*g - 3456*b^3*c^4*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b
*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((1128*b^2*c^5*e^3*f - 10816*c^7*d^3*g + 1836*b^3*c^4*e^3*g + 3264*c^7*d^2*e
*f - 3840*b*c^6*d*e^2*f + 17856*b*c^6*d^2*e*g - 9888*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)
^4) + (d*((d*((16*c^6*e^2*(21*b*e*g - 36*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c
^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(47*b^2*e^2*g + 136*c^2*d^2*g + 14*b*c*
e^2*f - 24*c^2*d*e*f - 160*b*c*d*e*g))/(3003*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (484*b^3*c^4*e^3*
f + 676*b^4*c^3*e^3*g - 5408*b*c^6*d^3*g + 1632*b*c^6*d^2*e*f - 1776*b^2*c^5*d*e^2*f + 8112*b^2*c^5*d^2*e*g -
4056*b^3*c^4*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)
)/(d + e*x)^3 - (((d*((1272*b^2*c^5*e^3*f - 12416*c^7*d^3*g + 2100*b^3*c^4*e^3*g + 3712*c^7*d^2*e*f - 4352*b*c
^6*d*e^2*f + 20480*b*c^6*d^2*e*g - 11328*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d
*((16*c^6*e^2*(23*b*e*g - 40*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/
(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(159*b^2*e^2*g + 464*c^2*d^2*g + 46*b*c*e^2*f - 80*
c^2*d*e*f - 544*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (548*b^3*c^4*e^3*f + 776*b^4
*c^3*e^3*g - 6208*b*c^6*d^3*g + 1856*b*c^6*d^2*e*f - 2016*b^2*c^5*d*e^2*f + 9312*b^2*c^5*d^2*e*g - 4656*b^3*c^
4*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)
^3 + (((d*((1952*b^2*c^6*e^3*f - 20928*c^8*d^3*g + 3456*b^3*c^5*e^3*g + 5696*c^8*d^2*e*f - 6656*b*c^7*d*e^2*f
+ 34240*b*c^7*d^2*e*g - 18784*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e
^2*(9*b*e*g - 15*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^
2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(61*b^2*e^2*g + 178*c^2*d^2*g + 18*b*c*e^2*f - 30*c^2*d*e*f - 20
8*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (840*b^3*c^5*e^3*f + 1308*b^4*c^4*e^3*g -
10464*b*c^7*d^3*g + 2848*b*c^7*d^2*e*f - 3088*b^2*c^6*d*e^2*f + 15696*b^2*c^6*d^2*e*g - 7848*b^3*c^5*d*e^2*g)/
(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*(
(2272*b^2*c^6*e^3*f - 25152*c^8*d^3*g + 4128*b^3*c^5*e^3*g + 6720*c^8*d^2*e*f - 7808*b*c^7*d*e^2*f + 41088*b*c
^7*d^2*e*g - 22496*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(10*b*e*
g - 17*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*
e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(71*b^2*e^2*g + 210*c^2*d^2*g + 20*b*c*e^2*f - 34*c^2*d*e*f - 244*b*c*d*e*
g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (984*b^3*c^5*e^3*f + 1572*b^4*c^4*e^3*g - 12576*b*c^
7*d^3*g + 3360*b*c^7*d^2*e*f - 3632*b^2*c^6*d*e^2*f + 18864*b^2*c^6*d^2*e*g - 9432*b^3*c^5*d*e^2*g)/(45045*(3*
b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((2592*b^2*
c^6*e^3*f - 29376*c^8*d^3*g + 4800*b^3*c^5*e^3*g + 7744*c^8*d^2*e*f - 8960*b*c^7*d*e^2*f + 47936*b*c^7*d^2*e*g
- 26208*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(11*b*e*g - 19*c*d
*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e -
2*c*d)^5)))/e - (32*c^6*e*(81*b^2*e^2*g + 242*c^2*d^2*g + 22*b*c*e^2*f - 38*c^2*d*e*f - 280*b*c*d*e*g))/(45045
*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (1128*b^3*c^5*e^3*f + 1836*b^4*c^4*e^3*g - 14688*b*c^7*d^3*g +
3872*b*c^7*d^2*e*f - 4176*b^2*c^6*d*e^2*f + 22032*b^2*c^6*d^2*e*g - 11016*b^3*c^5*d*e^2*g)/(45045*(3*b*e^2 -
6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((2912*b^2*c^6*e^3*
f - 33600*c^8*d^3*g + 5472*b^3*c^5*e^3*g + 8768*c^8*d^2*e*f - 10112*b*c^7*d*e^2*f + 54784*b*c^7*d^2*e*g - 2992
0*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(12*b*e*g - 21*c*d*g + c*
e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^
5)))/e - (32*c^6*e*(91*b^2*e^2*g + 274*c^2*d^2*g + 24*b*c*e^2*f - 42*c^2*d*e*f - 316*b*c*d*e*g))/(45045*(3*b*e
^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (1272*b^3*c^5*e^3*f + 2100*b^4*c^4*e^3*g - 16800*b*c^7*d^3*g + 4384*b
*c^7*d^2*e*f - 4720*b^2*c^6*d*e^2*f + 25200*b^2*c^6*d^2*e*g - 12600*b^3*c^5*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e
)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((2*f*(b*e - c*d)^3)/(13*b*e^2
- 26*c*d*e) - (d*((2*(b*e - c*d)^2*(b*e*g - c*d*g + 3*c*e*f))/(13*b*e^2 - 26*c*d*e) + (d*((d*((2*c^2*e^2*(3*b
*e*g - 3*c*d*g + c*e*f))/(13*b*e^2 - 26*c*d*e) - (2*c^3*d*e^2*g)/(13*b*e^2 - 26*c*d*e)))/e - (6*c*e*(b*e - c*d
)*(b*e*g - c*d*g + c*e*f))/(13*b*e^2 - 26*c*d*e)))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*
x)^7 + (((d*((d*((d*((16*c^5*e^2*(21*b*e*g - 39*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) -
(16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^4*e*(164*b^2*e^2*g + 575*c^2*d^2*g +
21*b*c*e^2*f - 39*c^2*d*e*f - 614*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (2624*b^2*c^4*
e^4*f + 9376*b^3*c^3*e^4*g + 9200*c^6*d^2*e^2*f - 65168*c^6*d^3*e*g - 9824*b*c^5*d*e^3*f + 102352*b*c^5*d^2*e^
2*g - 53632*b^2*c^4*d*e^3*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^2*(b*e - c*d)*(442*b^3*
e^3*g - 3536*c^3*d^3*g + 144*b^2*c*e^3*f + 537*c^3*d^2*e*f - 556*b*c^2*d*e^2*f + 5304*b*c^2*d^2*e*g - 2652*b^2
*c*d*e^2*g))/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d +
e*x)^4 + (((d*((d*((d*((32*c^6*e^2*(25*b*e*g - 47*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)
- (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^5*e*(248*b^2*e^2*g + 895*c^2*d^2*g
+ 25*b*c*e^2*f - 47*c^2*d*e*f - 942*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (7936*b^2*c^
5*e^4*f + 39744*b^3*c^4*e^4*g + 28640*c^7*d^2*e^2*f - 287776*c^7*d^3*e*g - 30144*b*c^6*d*e^3*f + 445984*b*c^6*
d^2*e^2*g - 230528*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^3*(b*e - c*d)*(1
018*b^3*e^3*g - 8144*c^3*d^3*g + 224*b^2*c*e^3*f + 849*c^3*d^2*e*f - 872*b*c^2*d*e^2*f + 12216*b*c^2*d^2*e*g -
6108*b^2*c*d*e^2*g))/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/
2))/(d + e*x)^3 + (((d*((d*((d*((64*c^7*e^2*(28*b*e*g - 53*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2
*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (64*c^6*e*(323*b^2*e^2*g + 1183*
c^2*d^2*g + 28*b*c*e^2*f - 53*c^2*d*e*f - 1236*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (
20672*b^2*c^6*e^4*f + 127104*b^3*c^5*e^4*g + 75712*c^8*d^2*e^2*f - 937664*c^8*d^3*e*g - 79104*b*c^7*d*e^3*f +
1444352*b*c^7*d^2*e^2*g - 741952*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (64*c^4*
(b*e - c*d)*(1690*b^3*e^3*g - 13520*c^3*d^3*g + 296*b^2*c*e^3*f + 1131*c^3*d^2*e*f - 1157*b*c^2*d*e^2*f + 2028
0*b*c^2*d^2*e*g - 10140*b^2*c*d*e^2*g))/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*
d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((50*b^2*c^3*e^3*f - 160*c^5*d^3*g + 38*b^3*c^2*e^3*g + 96*c^5*d^2*e*
f - 136*b*c^4*d*e^2*f + 288*b*c^4*d^2*e*g - 178*b^2*c^3*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) +
(d*((d*((8*c^4*e^2*(4*b*e*g - 5*c*d*g + c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(
143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (50*b^2*c^3*e^3*g + 32*b*c^4*e^3*f - 40*c^5*d*e^2*f + 96*c^5*d
^2*e*g - 136*b*c^4*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e))/e - (18*b^3*c^2*e^3*f - 80*b*c^4*
d^3*g + 10*b^4*c*e^3*g + 48*b*c^4*d^2*e*f - 58*b^2*c^3*d*e^2*f + 120*b^2*c^3*d^2*e*g - 60*b^3*c^2*d*e^2*g)/(14
3*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((232
*b^2*c^3*e^3*f - 1408*c^5*d^3*g + 272*b^3*c^2*e^3*g + 616*c^5*d^2*e*f - 760*b*c^4*d*e^2*f + 2420*b*c^4*d^2*e*g
- 1400*b^2*c^3*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) + (d*((d*((4*c^4*e^2*(21*b*e*g - 36*c*d*g
+ 2*c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*
d)^2)))/e - (232*b^2*c^3*e^3*g + 84*b*c^4*e^3*f - 144*c^5*d*e^2*f + 616*c^5*d^2*e*g - 760*b*c^4*d*e^2*g)/(143*
(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e))/e - (96*b^3*c^2*e^3*f - 704*b*c^4*d^3*g + 88*b^4*c*e^3*g + 308*b*c
^4*d^2*e*f - 344*b^2*c^3*d*e^2*f + 1056*b^2*c^3*d^2*e*g - 528*b^3*c^2*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e
- 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((d*((2568*b^2*c^5*e^3*f - 40192*c^7*
d^3*g + 6192*b^3*c^4*e^3*g + 8448*c^7*d^2*e*f - 9312*b*c^6*d*e^2*f + 64512*b*c^6*d^2*e*g - 34584*b^2*c^5*d*e^2
*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(15*b*e*g - 27*c*d*g + c*e*f))/(9009*(5*
b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5
*e*(107*b^2*e^2*g + 352*c^2*d^2*g + 20*b*c*e^2*f - 36*c^2*d*e*f - 388*b*c*d*e*g))/(3003*(5*b*e^2 - 10*c*d*e)*(
b*e - 2*c*d)^4)))/e))/e - (8*b*c^3*(314*b^3*e^3*g - 2512*c^3*d^3*g + 146*b^2*c*e^3*f + 528*c^3*d^2*e*f - 555*b
*c^2*d*e^2*f + 3768*b*c^2*d^2*e*g - 1884*b^2*c*d*e^2*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 -
c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((832*b^2*c^6*e^3*f - 6144*c^8*d^3*g + 1104*b^3*c^5*e^
3*g + 2112*c^8*d^2*e*f - 2624*b*c^7*d*e^2*f + 10272*b*c^7*d^2*e*g - 5792*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*
c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(11*b*e*g - 16*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e
- 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(26*b^2*e^2*g + 66
*c^2*d^2*g + 11*b*c*e^2*f - 16*c^2*d*e*f - 82*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e
- (16*b*c^4*(24*b^3*e^3*g - 192*c^3*d^3*g + 21*b^2*c*e^3*f + 66*c^3*d^2*e*f - 74*b*c^2*d*e^2*f + 288*b*c^2*d^2
*e*g - 144*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^
(1/2))/(d + e*x)^2 - (((d*((4400*b^2*c^6*e^3*f - 72192*c^8*d^3*g + 11016*b^3*c^5*e^3*g + 14336*c^8*d^2*e*f - 1
5872*b*c^7*d*e^2*f + 115456*b*c^7*d^2*e*g - 61696*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)
+ (d*((d*((32*c^7*e^2*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*
d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(275*b^2*e^2*g + 896*c^2*d^2*g + 54*b*c*e
^2*f - 96*c^2*d*e*f - 992*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(564*b^3*
e^3*g - 4512*c^3*d^3*g + 249*b^2*c*e^3*f + 896*c^3*d^2*e*f - 944*b*c^2*d*e^2*f + 6768*b*c^2*d^2*e*g - 3384*b^2
*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*
x)^2 - (((d*((4944*b^2*c^6*e^3*f - 83584*c^8*d^3*g + 12696*b^3*c^5*e^3*g + 16256*c^8*d^2*e*f - 17920*b*c^7*d*e
^2*f + 133504*b*c^7*d^2*e*g - 71232*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32
*c^7*e^2*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(4504
5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(309*b^2*e^2*g + 1016*c^2*d^2*g + 58*b*c*e^2*f - 104*c^
2*d*e*f - 1120*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(653*b^3*e^3*g - 522
4*c^3*d^3*g + 281*b^2*c*e^3*f + 1016*c^3*d^2*e*f - 1068*b*c^2*d*e^2*f + 7836*b*c^2*d^2*e*g - 3918*b^2*c*d*e^2*
g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - ((
(d*((5488*b^2*c^6*e^3*f - 94976*c^8*d^3*g + 14376*b^3*c^5*e^3*g + 18176*c^8*d^2*e*f - 19968*b*c^7*d*e^2*f + 15
1552*b*c^7*d^2*e*g - 80768*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*
(31*b*e*g - 56*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^
2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(343*b^2*e^2*g + 1136*c^2*d^2*g + 62*b*c*e^2*f - 112*c^2*d*e*f -
1248*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(742*b^3*e^3*g - 5936*c^3*d^3
*g + 313*b^2*c*e^3*f + 1136*c^3*d^2*e*f - 1192*b*c^2*d*e^2*f + 8904*b*c^2*d^2*e*g - 4452*b^2*c*d*e^2*g))/(4504
5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((5584
*b^2*c^5*e^3*f - 150016*c^7*d^3*g + 21376*b^3*c^4*e^3*g + 19680*c^7*d^2*e*f - 20960*b*c^6*d*e^2*f + 234864*b*c
^6*d^2*e*g - 122672*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(43*b*e
*g - 80*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c
*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(349*b^2*e^2*g + 1230*c^2*d^2*g + 43*b*c*e^2*f - 80*c^2*d*e*f - 1310*b*
c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (16*b*c^3*(586*b^3*e^3*g - 4688*c^3*d^3*g + 16
4*b^2*c*e^3*f + 615*c^3*d^2*e*f - 635*b*c^2*d*e^2*f + 7032*b*c^2*d^2*e*g - 3516*b^2*c*d*e^2*g))/(9009*(5*b*e^2
- 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((5616*b^2*c^6*
e^3*f - 99072*c^8*d^3*g + 14952*b^3*c^5*e^3*g + 18688*c^8*d^2*e*f - 20480*b*c^7*d*e^2*f + 157952*b*c^7*d^2*e*g
- 84096*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(31*b*e*g - 56*c*d
*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e
- 2*c*d)^5)))/e - (16*c^6*e*(351*b^2*e^2*g + 1168*c^2*d^2*g + 62*b*c*e^2*f - 112*c^2*d*e*f - 1280*b*c*d*e*g))/
(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(774*b^3*e^3*g - 6192*c^3*d^3*g + 321*b^2*c*e^3
*f + 1168*c^3*d^2*e*f - 1224*b*c^2*d*e^2*f + 9288*b*c^2*d^2*e*g - 4644*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d
*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((6224*b^2*c^6*e^3*f - 1
12512*c^8*d^3*g + 16920*b^3*c^5*e^3*g + 20864*c^8*d^2*e*f - 22784*b*c^7*d*e^2*f + 179200*b*c^7*d^2*e*g - 95296
*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(33*b*e*g - 60*c*d*g + 2*c
*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)
^5)))/e - (16*c^6*e*(389*b^2*e^2*g + 1304*c^2*d^2*g + 66*b*c*e^2*f - 120*c^2*d*e*f - 1424*b*c*d*e*g))/(45045*(
3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(879*b^3*e^3*g - 7032*c^3*d^3*g + 357*b^2*c*e^3*f + 130
4*c^3*d^2*e*f - 1364*b*c^2*d*e^2*f + 10548*b*c^2*d^2*e*g - 5274*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*
e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((6960*b^2*c^6*e^3*f - 130048*c
^8*d^3*g + 19464*b^3*c^5*e^3*g + 23552*c^8*d^2*e*f - 25600*b*c^7*d*e^2*f + 206848*b*c^7*d^2*e*g - 109824*b^2*c
^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(35*b*e*g - 64*c*d*g + 2*c*e*f))
/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/
e - (16*c^6*e*(435*b^2*e^2*g + 1472*c^2*d^2*g + 70*b*c*e^2*f - 128*c^2*d*e*f - 1600*b*c*d*e*g))/(45045*(3*b*e^
2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(1016*b^3*e^3*g - 8128*c^3*d^3*g + 401*b^2*c*e^3*f + 1472*c^3
*d^2*e*f - 1536*b*c^2*d*e^2*f + 12192*b*c^2*d^2*e*g - 6096*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2
*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((8976*b^2*c^6*e^3*f - 229888*c^8*d^
3*g + 32928*b^3*c^5*e^3*g + 31232*c^8*d^2*e*f - 33472*b*c^7*d*e^2*f + 360448*b*c^7*d^2*e*g - 188592*b^2*c^6*d*
e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(19*b*e*g - 35*c*d*g + c*e*f))/(45045
*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16
*c^6*e*(561*b^2*e^2*g + 1952*c^2*d^2*g + 76*b*c*e^2*f - 140*c^2*d*e*f - 2092*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c
*d*e)*(b*e - 2*c*d)^5)))/e))/e - (16*b*c^4*(898*b^3*e^3*g - 7184*c^3*d^3*g + 262*b^2*c*e^3*f + 976*c^3*d^2*e*f
- 1011*b*c^2*d*e^2*f + 10776*b*c^2*d^2*e*g - 5388*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)
)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((9808*b^2*c^6*e^3*f - 258560*c^8*d^3*g + 36
912*b^3*c^5*e^3*g + 34304*c^8*d^2*e*f - 36672*b*c^7*d*e^2*f + 404992*b*c^7*d^2*e*g - 211664*b^2*c^6*d*e^2*g)/(
45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(20*b*e*g - 37*c*d*g + c*e*f))/(45045*(3*b*e^
2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(
613*b^2*e^2*g + 2144*c^2*d^2*g + 80*b*c*e^2*f - 148*c^2*d*e*f - 2292*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b
*e - 2*c*d)^5)))/e))/e - (16*b*c^4*(1010*b^3*e^3*g - 8080*c^3*d^3*g + 287*b^2*c*e^3*f + 1072*c^3*d^2*e*f - 110
9*b*c^2*d*e^2*f + 12120*b*c^2*d^2*e*g - 6060*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d
^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((10768*b^2*c^6*e^3*f - 294912*c^8*d^3*g + 41920*b
^3*c^5*e^3*g + 37888*c^8*d^2*e*f - 40384*b*c^7*d*e^2*f + 461312*b*c^7*d^2*e*g - 240752*b^2*c^6*d*e^2*g)/(45045
*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(21*b*e*g - 39*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6
*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(673*b
^2*e^2*g + 2368*c^2*d^2*g + 84*b*c*e^2*f - 156*c^2*d*e*f - 2524*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e -
2*c*d)^5)))/e))/e - (16*b*c^4*(1152*b^3*e^3*g - 9216*c^3*d^3*g + 316*b^2*c*e^3*f + 1184*c^3*d^2*e*f - 1223*b*c
^2*d*e^2*f + 13824*b*c^2*d^2*e*g - 6912*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 -
c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((11856*b^2*c^6*e^3*f - 342016*c^8*d^3*g + 48336*b^3*c^
5*e^3*g + 41984*c^8*d^2*e*f - 44608*b*c^7*d*e^2*f + 534016*b*c^7*d^2*e*g - 278160*b^2*c^6*d*e^2*g)/(45045*(3*b
*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(22*b*e*g - 41*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*
e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(741*b^2*e^
2*g + 2624*c^2*d^2*g + 88*b*c*e^2*f - 164*c^2*d*e*f - 2788*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d
)^5)))/e))/e - (16*b*c^4*(1336*b^3*e^3*g - 10688*c^3*d^3*g + 349*b^2*c*e^3*f + 1312*c^3*d^2*e*f - 1353*b*c^2*d
*e^2*f + 16032*b*c^2*d^2*e*g - 8016*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^
2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((16672*b^2*c^6*e^3*f - 635904*c^8*d^3*g + 87424*b^3*c^5*e^
3*g + 60352*c^8*d^2*e*f - 63424*b*c^7*d*e^2*f + 984032*b*c^7*d^2*e*g - 507872*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2
- 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(51*b*e*g - 96*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)
*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(521*b^2*e^2*
g + 1886*c^2*d^2*g + 51*b*c*e^2*f - 96*c^2*d*e*f - 1982*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5
)))/e))/e - (32*b*c^4*(1242*b^3*e^3*g - 9936*c^3*d^3*g + 248*b^2*c*e^3*f + 943*c^3*d^2*e*f - 967*b*c^2*d*e^2*f
+ 14904*b*c^2*d^2*e*g - 7452*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2
- b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2