3.85.0 ∫ −36x2−12x3−18x2 log(5)+e80x40(492+240x+246 log(5)) 4+4x+x2+(4+2x) log(5)+log2(5) dx [8409]

Integrand size = 57, antiderivative size = 24 \[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx=\frac {6 x \left (e^{40 (2+\log (x))}-x^2\right )}{2+x+\log (5)} \]

Rubi [B] (veriﬁed)

Leaf count is larger than twice the leaf count of optimal. \(591\) vs. \(2(24)=48\).

Time = 5.66 (sec) , antiderivative size = 591, normalized size of antiderivative = 24.62, number of steps used = 5, number of rules used = 4, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.070, Rules used = {6, 2011, 27, 1864} \[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx=6 e^{80} x^{40}-6 e^{80} x^{39} (2+\log (5))+6 e^{80} x^{38} (2+\log (5))^2-6 e^{80} x^{37} (2+\log (5))^3+6 e^{80} x^{36} (2+\log (5))^4-6 e^{80} x^{35} (2+\log (5))^5+6 e^{80} x^{34} (2+\log (5))^6-6 e^{80} x^{33} (2+\log (5))^7+6 e^{80} x^{32} (2+\log (5))^8-6 e^{80} x^{31} (2+\log (5))^9+6 e^{80} x^{30} (2+\log (5))^{10}-6 e^{80} x^{29} (2+\log (5))^{11}+6 e^{80} x^{28} (2+\log (5))^{12}-6 e^{80} x^{27} (2+\log (5))^{13}+6 e^{80} x^{26} (2+\log (5))^{14}-6 e^{80} x^{25} (2+\log (5))^{15}+6 e^{80} x^{24} (2+\log (5))^{16}-6 e^{80} x^{23} (2+\log (5))^{17}+6 e^{80} x^{22} (2+\log (5))^{18}-6 e^{80} x^{21} (2+\log (5))^{19}+6 e^{80} x^{20} (2+\log (5))^{20}-6 e^{80} x^{19} (2+\log (5))^{21}+6 e^{80} x^{18} (2+\log (5))^{22}-6 e^{80} x^{17} (2+\log (5))^{23}+6 e^{80} x^{16} (2+\log (5))^{24}-6 e^{80} x^{15} (2+\log (5))^{25}+6 e^{80} x^{14} (2+\log (5))^{26}-6 e^{80} x^{13} (2+\log (5))^{27}+6 e^{80} x^{12} (2+\log (5))^{28}-6 e^{80} x^{11} (2+\log (5))^{29}+6 e^{80} x^{10} (2+\log (5))^{30}-6 e^{80} x^9 (2+\log (5))^{31}+6 e^{80} x^8 (2+\log (5))^{32}-6 e^{80} x^7 (2+\log (5))^{33}+6 e^{80} x^6 (2+\log (5))^{34}-6 e^{80} x^5 (2+\log (5))^{35}+6 e^{80} x^4 (2+\log (5))^{36}-6 e^{80} x^3 (2+\log (5))^{37}-6 x^2 \left (1-e^{80} (2+\log (5))^{38}\right )+6 x (2+\log (5)) \left (1-e^{80} (2+\log (5))^{38}\right )+\frac {6 (2+\log (5))^3 \left (1-e^{80} (2+\log (5))^{38}\right )}{x+2+\log (5)} \]

Int[(-36*x^2 - 12*x^3 - 18*x^2*Log[5] + E^80*x^40*(492 + 240*x + 246*Log[5]))/(4 + 4*x + x^2 + (4 + 2*x)*Log[5

6*E^80*x^40 - 6*E^80*x^39*(2 + Log[5]) + 6*E^80*x^38*(2 + Log[5])^2 - 6*E^80*x^37*(2 + Log[5])^3 + 6*E^80*x^36

*(2 + Log[5])^4 - 6*E^80*x^35*(2 + Log[5])^5 + 6*E^80*x^34*(2 + Log[5])^6 - 6*E^80*x^33*(2 + Log[5])^7 + 6*E^8

0*x^32*(2 + Log[5])^8 - 6*E^80*x^31*(2 + Log[5])^9 + 6*E^80*x^30*(2 + Log[5])^10 - 6*E^80*x^29*(2 + Log[5])^11

+ 6*E^80*x^28*(2 + Log[5])^12 - 6*E^80*x^27*(2 + Log[5])^13 + 6*E^80*x^26*(2 + Log[5])^14 - 6*E^80*x^25*(2 +

Log[5])^15 + 6*E^80*x^24*(2 + Log[5])^16 - 6*E^80*x^23*(2 + Log[5])^17 + 6*E^80*x^22*(2 + Log[5])^18 - 6*E^80*

x^21*(2 + Log[5])^19 + 6*E^80*x^20*(2 + Log[5])^20 - 6*E^80*x^19*(2 + Log[5])^21 + 6*E^80*x^18*(2 + Log[5])^22

- 6*E^80*x^17*(2 + Log[5])^23 + 6*E^80*x^16*(2 + Log[5])^24 - 6*E^80*x^15*(2 + Log[5])^25 + 6*E^80*x^14*(2 +

Log[5])^26 - 6*E^80*x^13*(2 + Log[5])^27 + 6*E^80*x^12*(2 + Log[5])^28 - 6*E^80*x^11*(2 + Log[5])^29 + 6*E^80*

x^10*(2 + Log[5])^30 - 6*E^80*x^9*(2 + Log[5])^31 + 6*E^80*x^8*(2 + Log[5])^32 - 6*E^80*x^7*(2 + Log[5])^33 +

6*E^80*x^6*(2 + Log[5])^34 - 6*E^80*x^5*(2 + Log[5])^35 + 6*E^80*x^4*(2 + Log[5])^36 - 6*E^80*x^3*(2 + Log[5])

^37 - 6*x^2*(1 - E^80*(2 + Log[5])^38) + 6*x*(2 + Log[5])*(1 - E^80*(2 + Log[5])^38) + (6*(2 + Log[5])^3*(1 -

Int[(u_.)*((w_.) + (a_.)*(v_) + (b_.)*(v_))^(p_.), x_Symbol] :> Int[u*((a + b)*v + w)^p, x] /; FreeQ[{a, b}, x

Int[(u_.)*((a_) + (b_.)*(x_) + (c_.)*(x_)^2)^(p_.), x_Symbol] :> Int[u*Cancel[(b/2 + c*x)^(2*p)/c^p], x] /; Fr

Int[(Pq_)*((a_) + (b_.)*(x_)^(n_.))^(p_.), x_Symbol] :> Int[ExpandIntegrand[Pq*(a + b*x^n)^p, x], x] /; FreeQ[

Int[(Pq_)*(u_)^(p_.), x_Symbol] :> Int[Pq*ExpandToSum[u, x]^p, x] /; FreeQ[p, x] && PolyQ[Pq, x] && QuadraticQ

Rubi steps \begin{align*} \text {integral}& = \int \frac {-12 x^3+x^2 (-36-18 \log (5))+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx \\ & = \int \frac {-12 x^3+x^2 (-36-18 \log (5))+e^{80} x^{40} (492+240 x+246 \log (5))}{x^2+2 x (2+\log (5))+(2+\log (5))^2} \, dx \\ & = \int \frac {-12 x^3+x^2 (-36-18 \log (5))+e^{80} x^{40} (492+240 x+246 \log (5))}{(2+x+\log (5))^2} \, dx \\ & = \int \left (240 e^{80} x^{39}-234 e^{80} x^{38} (2+\log (5))+228 e^{80} x^{37} (2+\log (5))^2-222 e^{80} x^{36} (2+\log (5))^3+216 e^{80} x^{35} (2+\log (5))^4-210 e^{80} x^{34} (2+\log (5))^5+204 e^{80} x^{33} (2+\log (5))^6-198 e^{80} x^{32} (2+\log (5))^7+192 e^{80} x^{31} (2+\log (5))^8-186 e^{80} x^{30} (2+\log (5))^9+180 e^{80} x^{29} (2+\log (5))^{10}-174 e^{80} x^{28} (2+\log (5))^{11}+168 e^{80} x^{27} (2+\log (5))^{12}-162 e^{80} x^{26} (2+\log (5))^{13}+156 e^{80} x^{25} (2+\log (5))^{14}-150 e^{80} x^{24} (2+\log (5))^{15}+144 e^{80} x^{23} (2+\log (5))^{16}-138 e^{80} x^{22} (2+\log (5))^{17}+132 e^{80} x^{21} (2+\log (5))^{18}-126 e^{80} x^{20} (2+\log (5))^{19}+120 e^{80} x^{19} (2+\log (5))^{20}-114 e^{80} x^{18} (2+\log (5))^{21}+108 e^{80} x^{17} (2+\log (5))^{22}-102 e^{80} x^{16} (2+\log (5))^{23}+96 e^{80} x^{15} (2+\log (5))^{24}-90 e^{80} x^{14} (2+\log (5))^{25}+84 e^{80} x^{13} (2+\log (5))^{26}-78 e^{80} x^{12} (2+\log (5))^{27}+72 e^{80} x^{11} (2+\log (5))^{28}-66 e^{80} x^{10} (2+\log (5))^{29}+60 e^{80} x^9 (2+\log (5))^{30}-54 e^{80} x^8 (2+\log (5))^{31}+48 e^{80} x^7 (2+\log (5))^{32}-42 e^{80} x^6 (2+\log (5))^{33}+36 e^{80} x^5 (2+\log (5))^{34}-30 e^{80} x^4 (2+\log (5))^{35}+24 e^{80} x^3 (2+\log (5))^{36}-18 e^{80} x^2 (2+\log (5))^{37}+6 (2+\log (5)) \left (1-e^{80} (2+\log (5))^{38}\right )+12 x \left (-1+e^{80} (2+\log (5))^{38}\right )+\frac {6 (2+\log (5))^3 \left (-1+e^{80} (2+\log (5))^{38}\right )}{(2+x+\log (5))^2}\right ) \, dx \\ & = 6 e^{80} x^{40}-6 e^{80} x^{39} (2+\log (5))+6 e^{80} x^{38} (2+\log (5))^2-6 e^{80} x^{37} (2+\log (5))^3+6 e^{80} x^{36} (2+\log (5))^4-6 e^{80} x^{35} (2+\log (5))^5+6 e^{80} x^{34} (2+\log (5))^6-6 e^{80} x^{33} (2+\log (5))^7+6 e^{80} x^{32} (2+\log (5))^8-6 e^{80} x^{31} (2+\log (5))^9+6 e^{80} x^{30} (2+\log (5))^{10}-6 e^{80} x^{29} (2+\log (5))^{11}+6 e^{80} x^{28} (2+\log (5))^{12}-6 e^{80} x^{27} (2+\log (5))^{13}+6 e^{80} x^{26} (2+\log (5))^{14}-6 e^{80} x^{25} (2+\log (5))^{15}+6 e^{80} x^{24} (2+\log (5))^{16}-6 e^{80} x^{23} (2+\log (5))^{17}+6 e^{80} x^{22} (2+\log (5))^{18}-6 e^{80} x^{21} (2+\log (5))^{19}+6 e^{80} x^{20} (2+\log (5))^{20}-6 e^{80} x^{19} (2+\log (5))^{21}+6 e^{80} x^{18} (2+\log (5))^{22}-6 e^{80} x^{17} (2+\log (5))^{23}+6 e^{80} x^{16} (2+\log (5))^{24}-6 e^{80} x^{15} (2+\log (5))^{25}+6 e^{80} x^{14} (2+\log (5))^{26}-6 e^{80} x^{13} (2+\log (5))^{27}+6 e^{80} x^{12} (2+\log (5))^{28}-6 e^{80} x^{11} (2+\log (5))^{29}+6 e^{80} x^{10} (2+\log (5))^{30}-6 e^{80} x^9 (2+\log (5))^{31}+6 e^{80} x^8 (2+\log (5))^{32}-6 e^{80} x^7 (2+\log (5))^{33}+6 e^{80} x^6 (2+\log (5))^{34}-6 e^{80} x^5 (2+\log (5))^{35}+6 e^{80} x^4 (2+\log (5))^{36}-6 e^{80} x^3 (2+\log (5))^{37}-6 x^2 \left (1-e^{80} (2+\log (5))^{38}\right )+6 x (2+\log (5)) \left (1-e^{80} (2+\log (5))^{38}\right )+\frac {6 (2+\log (5))^3 \left (1-e^{80} (2+\log (5))^{38}\right )}{2+x+\log (5)} \\ \end{align*}

Mathematica [B] (veriﬁed)

Leaf count is larger than twice the leaf count of optimal. \(54\) vs. \(2(24)=48\).

Time = 0.49 (sec) , antiderivative size = 54, normalized size of antiderivative = 2.25 \[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx=\frac {6 \left (-x^3+x (2+\log (5))^2+(2+\log (5))^3+e^{80} \left (x^{41}-x (2+\log (5))^{40}-(2+\log (5))^{41}\right )\right )}{2+x+\log (5)} \]

Integrate[(-36*x^2 - 12*x^3 - 18*x^2*Log[5] + E^80*x^40*(492 + 240*x + 246*Log[5]))/(4 + 4*x + x^2 + (4 + 2*x)

(6*(-x^3 + x*(2 + Log[5])^2 + (2 + Log[5])^3 + E^80*(x^41 - x*(2 + Log[5])^40 - (2 + Log[5])^41)))/(2 + x + Lo

Maple [A] (veriﬁed)

Time = 0.86 (sec) , antiderivative size = 25, normalized size of antiderivative = 1.04


method	result	size

parallelrisch	\(\frac {-6 x^{3}+6 \,{\mathrm e}^{40 \ln \left (x \right )+80} x}{x +2+\ln \left (5\right )}\)	\(25\)
default	\(\text {Expression too large to display}\)	\(7339\)
parts	\(\text {Expression too large to display}\)	\(7339\)
risch	\(\text {Expression too large to display}\)	\(9387\)

int(((246*ln(5)+240*x+492)*exp(40*ln(x)+80)-18*x^2*ln(5)-12*x^3-36*x^2)/(ln(5)^2+(4+2*x)*ln(5)+x^2+4*x+4),x,me

Fricas [B] (veriﬁcation not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 565 vs. \(2 (23) = 46\).

Time = 0.26 (sec) , antiderivative size = 565, normalized size of antiderivative = 23.54 \[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx=\text {Too large to display} \]

integrate(((246*log(5)+240*x+492)*exp(40*log(x)+80)-18*x^2*log(5)-12*x^3-36*x^2)/(log(5)^2+(4+2*x)*log(5)+x^2+

-6*((x + 82)*e^80*log(5)^40 + e^80*log(5)^41 + 80*(x + 41)*e^80*log(5)^39 + 1040*(3*x + 82)*e^80*log(5)^38 + 3

9520*(2*x + 41)*e^80*log(5)^37 + 292448*(5*x + 82)*e^80*log(5)^36 + 7018752*(3*x + 41)*e^80*log(5)^35 + 350937

60*(7*x + 82)*e^80*log(5)^34 + 596593920*(4*x + 41)*e^80*log(5)^33 + 2187511040*(9*x + 82)*e^80*log(5)^32 + 28

000141312*(5*x + 41)*e^80*log(5)^31 + 78909489152*(11*x + 82)*e^80*log(5)^30 + 789094891520*(6*x + 41)*e^80*lo

g(5)^29 + 1760288604160*(13*x + 82)*e^80*log(5)^28 + 14082308833280*(7*x + 41)*e^80*log(5)^27 + 25348155899904

*(15*x + 82)*e^80*log(5)^26 + 164763013349376*(8*x + 41)*e^80*log(5)^25 + 242298549043200*(17*x + 82)*e^80*log

(5)^24 + 1292258928230400*(9*x + 41)*e^80*log(5)^23 + 1564313439436800*(19*x + 82)*e^80*log(5)^22 + 6882979133

521920*(10*x + 41)*e^80*log(5)^21 + 6882979133521920*(21*x + 82)*e^80*log(5)^20 + 25029015030988800*(11*x + 41

)*e^80*log(5)^19 + 20676142851686400*(23*x + 82)*e^80*log(5)^18 + 62028428555059200*(12*x + 41)*e^80*log(5)^17

+ 42179331417440256*(25*x + 82)*e^80*log(5)^16 + 103826046566006784*(13*x + 41)*e^80*log(5)^15 + 576811369811

14880*(27*x + 82)*e^80*log(5)^14 + 115362273962229760*(14*x + 41)*e^80*log(5)^13 + 51714122810654720*(29*x + 8

2)*e^80*log(5)^12 + 82742596497047552*(15*x + 41)*e^80*log(5)^11 + 29360276176371712*(31*x + 82)*e^80*log(5)^1

0 + 36700345220464640*(16*x + 41)*e^80*log(5)^9 + 10009185060126720*(33*x + 82)*e^80*log(5)^8 + 94204094683545

60*(17*x + 41)*e^80*log(5)^7 + 1884081893670912*(35*x + 82)*e^80*log(5)^6 + 1256054595780608*(18*x + 41)*e^80*

log(5)^5 + 169737107537920*(37*x + 82)*e^80*log(5)^4 + (71468255805440*(19*x + 41)*e^80 - 1)*log(5)^3 + x^3 +

(5497558138880*(39*x + 82)*e^80 - x - 6)*log(5)^2 - (x^41 - 1099511627776*x - 2199023255552)*e^80 + 4*(2748779

06944*(20*x + 41)*e^80 - x - 3)*log(5) - 4*x - 8)/(x + log(5) + 2)

Sympy [B] (veriﬁcation not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 8716 vs. \(2 (20) = 40\).

Time = 6.25 (sec) , antiderivative size = 8716, normalized size of antiderivative = 363.17 \[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx=\text {Too large to display} \]

integrate(((246*ln(5)+240*x+492)*exp(40*ln(x)+80)-18*x**2*ln(5)-12*x**3-36*x**2)/(ln(5)**2+(4+2*x)*ln(5)+x**2+

6*x**40*exp(80) + x**39*(-12*exp(80) - 6*exp(80)*log(5)) + x**38*(6*exp(80)*log(5)**2 + 24*exp(80) + 24*exp(80

)*log(5)) + x**37*(-72*exp(80)*log(5) - 36*exp(80)*log(5)**2 - 48*exp(80) - 6*exp(80)*log(5)**3) + x**36*(6*ex

p(80)*log(5)**4 + 96*exp(80) + 48*exp(80)*log(5)**3 + 192*exp(80)*log(5) + 144*exp(80)*log(5)**2) + x**35*(-48

0*exp(80)*log(5)**2 - 240*exp(80)*log(5)**3 - 480*exp(80)*log(5) - 60*exp(80)*log(5)**4 - 192*exp(80) - 6*exp(

80)*log(5)**5) + x**34*(6*exp(80)*log(5)**6 + 384*exp(80) + 72*exp(80)*log(5)**5 + 1152*exp(80)*log(5) + 360*e

xp(80)*log(5)**4 + 1440*exp(80)*log(5)**2 + 960*exp(80)*log(5)**3) + x**33*(-3360*exp(80)*log(5)**3 - 1680*exp

(80)*log(5)**4 - 4032*exp(80)*log(5)**2 - 504*exp(80)*log(5)**5 - 2688*exp(80)*log(5) - 84*exp(80)*log(5)**6 -

768*exp(80) - 6*exp(80)*log(5)**7) + x**32*(6*exp(80)*log(5)**8 + 1536*exp(80) + 96*exp(80)*log(5)**7 + 6144*

exp(80)*log(5) + 672*exp(80)*log(5)**6 + 10752*exp(80)*log(5)**2 + 2688*exp(80)*log(5)**5 + 10752*exp(80)*log(

5)**3 + 6720*exp(80)*log(5)**4) + x**31*(-24192*exp(80)*log(5)**4 - 32256*exp(80)*log(5)**3 - 12096*exp(80)*lo

g(5)**5 - 27648*exp(80)*log(5)**2 - 4032*exp(80)*log(5)**6 - 864*exp(80)*log(5)**7 - 13824*exp(80)*log(5) - 10

8*exp(80)*log(5)**8 - 3072*exp(80) - 6*exp(80)*log(5)**9) + x**30*(6*exp(80)*log(5)**10 + 6144*exp(80) + 120*e

xp(80)*log(5)**9 + 1080*exp(80)*log(5)**8 + 30720*exp(80)*log(5) + 5760*exp(80)*log(5)**7 + 69120*exp(80)*log(

5)**2 + 20160*exp(80)*log(5)**6 + 92160*exp(80)*log(5)**3 + 48384*exp(80)*log(5)**5 + 80640*exp(80)*log(5)**4)

+ x**29*(-177408*exp(80)*log(5)**5 - 253440*exp(80)*log(5)**4 - 88704*exp(80)*log(5)**6 - 253440*exp(80)*log(

5)**3 - 31680*exp(80)*log(5)**7 - 168960*exp(80)*log(5)**2 - 7920*exp(80)*log(5)**8 - 67584*exp(80)*log(5) - 1

320*exp(80)*log(5)**9 - 132*exp(80)*log(5)**10 - 12288*exp(80) - 6*exp(80)*log(5)**11) + x**28*(6*exp(80)*log(

5)**12 + 24576*exp(80) + 144*exp(80)*log(5)**11 + 1584*exp(80)*log(5)**10 + 147456*exp(80)*log(5) + 10560*exp(

80)*log(5)**9 + 405504*exp(80)*log(5)**2 + 47520*exp(80)*log(5)**8 + 675840*exp(80)*log(5)**3 + 152064*exp(80)

*log(5)**7 + 760320*exp(80)*log(5)**4 + 354816*exp(80)*log(5)**6 + 608256*exp(80)*log(5)**5) + x**27*(-1317888

*exp(80)*log(5)**6 - 1976832*exp(80)*log(5)**5 - 658944*exp(80)*log(5)**7 - 2196480*exp(80)*log(5)**4 - 247104

*exp(80)*log(5)**8 - 1757184*exp(80)*log(5)**3 - 68640*exp(80)*log(5)**9 - 958464*exp(80)*log(5)**2 - 13728*ex

p(80)*log(5)**10 - 319488*exp(80)*log(5) - 1872*exp(80)*log(5)**11 - 49152*exp(80) - 156*exp(80)*log(5)**12 -

6*exp(80)*log(5)**13) + x**26*(6*exp(80)*log(5)**14 + 168*exp(80)*log(5)**13 + 98304*exp(80) + 2184*exp(80)*lo

g(5)**12 + 688128*exp(80)*log(5) + 17472*exp(80)*log(5)**11 + 2236416*exp(80)*log(5)**2 + 96096*exp(80)*log(5)

**10 + 4472832*exp(80)*log(5)**3 + 384384*exp(80)*log(5)**9 + 6150144*exp(80)*log(5)**4 + 1153152*exp(80)*log(

5)**8 + 6150144*exp(80)*log(5)**5 + 2635776*exp(80)*log(5)**7 + 4612608*exp(80)*log(5)**6) + x**25*(-9884160*e

xp(80)*log(5)**7 - 15375360*exp(80)*log(5)**6 - 4942080*exp(80)*log(5)**8 - 18450432*exp(80)*log(5)**5 - 19219

20*exp(80)*log(5)**9 - 16773120*exp(80)*log(5)**4 - 576576*exp(80)*log(5)**10 - 11182080*exp(80)*log(5)**3 - 1

31040*exp(80)*log(5)**11 - 5160960*exp(80)*log(5)**2 - 21840*exp(80)*log(5)**12 - 1474560*exp(80)*log(5) - 252

0*exp(80)*log(5)**13 - 196608*exp(80) - 180*exp(80)*log(5)**14 - 6*exp(80)*log(5)**15) + x**24*(6*exp(80)*log(

5)**16 + 192*exp(80)*log(5)**15 + 393216*exp(80) + 2880*exp(80)*log(5)**14 + 3145728*exp(80)*log(5) + 26880*ex

p(80)*log(5)**13 + 11796480*exp(80)*log(5)**2 + 174720*exp(80)*log(5)**12 + 27525120*exp(80)*log(5)**3 + 83865

6*exp(80)*log(5)**11 + 44728320*exp(80)*log(5)**4 + 3075072*exp(80)*log(5)**10 + 53673984*exp(80)*log(5)**5 +

8785920*exp(80)*log(5)**9 + 49201152*exp(80)*log(5)**6 + 19768320*exp(80)*log(5)**8 + 35143680*exp(80)*log(5)*

*7) + x**23*(-74680320*exp(80)*log(5)**8 - 119488512*exp(80)*log(5)**7 - 37340160*exp(80)*log(5)**9 - 15207628

8*exp(80)*log(5)**6 - 14936064*exp(80)*log(5)**10 - 152076288*exp(80)*log(5)**5 - 4752384*exp(80)*log(5)**11 -

116981760*exp(80)*log(5)**4 - 1188096*exp(80)*log(5)**12 - 66846720*exp(80)*log(5)**3 - 228480*exp(80)*log(5)

**13 - 26738688*exp(80)*log(5)**2 - 32640*exp(80)*log(5)**14 - 6684672*exp(80)*log(5) - 3264*exp(80)*log(5)**1

5 - 786432*exp(80) - 204*exp(80)*log(5)**16 - 6*exp(80)*log(5)**17) + x**22*(6*exp(80)*log(5)**18 + 216*exp(80

)*log(5)**17 + 1572864*exp(80) + 3672*exp(80)*log(5)**16 + 14155776*exp(80)*log(5) + 39168*exp(80)*log(5)**15

+ 60162048*exp(80)*log(5)**2 + 293760*exp(80)*log(5)**14 + 160432128*exp(80)*log(5)**3 + 1645056*exp(80)*log(5

)**13 + 300810240*exp(80)*log(5)**4 + 7128576*exp(80)*log(5)**12 + 421134336*exp(80)*log(5)**5 + 24440832*exp(

80)*log(5)**11 + 67212288*exp(80)*log(5)**10 + 456228864*exp(80)*log(5)**6 + 149360640*exp(80)*log(5)**9 + 391

053312*exp(80)*log(5)**7 + 268849152*exp(80)*log(5)**8) + x**21*(-928751616*exp(80)*log(5)**8 - 567570432*exp(

80)*log(5)**9 - 1238335488*exp(80)*log(5)**7 - 283785216*exp(80)*log(5)**10 - 1333592064*exp(80)*log(5)**6 - 1

16093952*exp(80)*log(5)**11 - 1143078912*exp(80)*log(5)**5 - 38697984*exp(80)*log(5)**12 - 762052608*exp(80)*l

og(5)**4 - 10418688*exp(80)*log(5)**13 - 2232576*exp(80)*log(5)**14 - 381026304*exp(80)*log(5)**3 - 372096*exp

(80)*log(5)**15 - 134479872*exp(80)*log(5)**2 - 46512*exp(80)*log(5)**16 - 29884416*exp(80)*log(5) - 4104*exp(

80)*log(5)**17 - 3145728*exp(80) - 228*exp(80)*log(5)**18 - 6*exp(80)*log(5)**19) + x**20*(6*exp(80)*log(5)**2

0 + 240*exp(80)*log(5)**19 + 6291456*exp(80) + 4560*exp(80)*log(5)**18 + 62914560*exp(80)*log(5) + 54720*exp(8

0)*log(5)**17 + 298844160*exp(80)*log(5)**2 + 465120*exp(80)*log(5)**16 + 896532480*exp(80)*log(5)**3 + 297676

8*exp(80)*log(5)**15 + 14883840*exp(80)*log(5)**14 + 1905131520*exp(80)*log(5)**4 + 59535360*exp(80)*log(5)**1

3 + 3048210432*exp(80)*log(5)**5 + 193489920*exp(80)*log(5)**12 + 3810263040*exp(80)*log(5)**6 + 515973120*exp

(80)*log(5)**11 + 3810263040*exp(80)*log(5)**7 + 1135140864*exp(80)*log(5)**10 + 3095838720*exp(80)*log(5)**8

+ 2063892480*exp(80)*log(5)**9) + x**19*(-7223623680*exp(80)*log(5)**9 - 4334174208*exp(80)*log(5)**10 - 10001

940480*exp(80)*log(5)**8 - 2167087104*exp(80)*log(5)**11 - 11430789120*exp(80)*log(5)**7 - 902952960*exp(80)*l

og(5)**12 - 10668736512*exp(80)*log(5)**6 - 312560640*exp(80)*log(5)**13 - 8001552384*exp(80)*log(5)**5 - 8930

3040*exp(80)*log(5)**14 - 4706795520*exp(80)*log(5)**4 - 20837376*exp(80)*log(5)**15 - 2091909120*exp(80)*log(

5)**3 - 3907008*exp(80)*log(5)**16 - 574560*exp(80)*log(5)**17 - 660602880*exp(80)*log(5)**2 - 63840*exp(80)*l

og(5)**18 - 132120576*exp(80)*log(5) - 5040*exp(80)*log(5)**19 - 12582912*exp(80) - 252*exp(80)*log(5)**20 - 6

*exp(80)*log(5)**21) + x**18*(6*exp(80)*log(5)**22 + 264*exp(80)*log(5)**21 + 25165824*exp(80) + 5544*exp(80)*

log(5)**20 + 276824064*exp(80)*log(5) + 73920*exp(80)*log(5)**19 + 702240*exp(80)*log(5)**18 + 1453326336*exp(

80)*log(5)**2 + 5056128*exp(80)*log(5)**17 + 4844421120*exp(80)*log(5)**3 + 28651392*exp(80)*log(5)**16 + 1150

5500160*exp(80)*log(5)**4 + 130977792*exp(80)*log(5)**15 + 20709900288*exp(80)*log(5)**5 + 491166720*exp(80)*l

og(5)**14 + 29339025408*exp(80)*log(5)**6 + 1528074240*exp(80)*log(5)**13 + 33530314752*exp(80)*log(5)**7 + 39

72993024*exp(80)*log(5)**12 + 31434670080*exp(80)*log(5)**8 + 8668348416*exp(80)*log(5)**11 + 24449187840*exp(

80)*log(5)**9 + 15891972096*exp(80)*log(5)**10) + x**17*(-56233132032*exp(80)*log(5)**10 - 33228668928*exp(80)

*log(5)**11 - 80333045760*exp(80)*log(5)**9 - 16614334464*exp(80)*log(5)**12 - 96399654912*exp(80)*log(5)**8 -

7029141504*exp(80)*log(5)**13 - 96399654912*exp(80)*log(5)**7 - 2510407680*exp(80)*log(5)**14 - 79387951104*e

xp(80)*log(5)**6 - 753122304*exp(80)*log(5)**15 - 52925300736*exp(80)*log(5)**5 - 188280576*exp(80)*log(5)**16

- 27855421440*exp(80)*log(5)**4 - 38763648*exp(80)*log(5)**17 - 11142168576*exp(80)*log(5)**3 - 6460608*exp(8

0)*log(5)**18 - 3183476736*exp(80)*log(5)**2 - 850080*exp(80)*log(5)**19 - 85008*exp(80)*log(5)**20 - 57881395

2*exp(80)*log(5) - 6072*exp(80)*log(5)**21 - 50331648*exp(80) - 276*exp(80)*log(5)**22 - 6*exp(80)*log(5)**23)

+ x**16*(6*exp(80)*log(5)**24 + 288*exp(80)*log(5)**23 + 100663296*exp(80) + 6624*exp(80)*log(5)**22 + 120795

9552*exp(80)*log(5) + 97152*exp(80)*log(5)**21 + 1020096*exp(80)*log(5)**20 + 6945767424*exp(80)*log(5)**2 + 8

160768*exp(80)*log(5)**19 + 25467813888*exp(80)*log(5)**3 + 51684864*exp(80)*log(5)**18 + 66853011456*exp(80)*

log(5)**4 + 265807872*exp(80)*log(5)**17 + 133706022912*exp(80)*log(5)**5 + 1129683456*exp(80)*log(5)**16 + 21

1701202944*exp(80)*log(5)**6 + 4016652288*exp(80)*log(5)**15 + 272187260928*exp(80)*log(5)**7 + 12049956864*ex

p(80)*log(5)**14 + 289198964736*exp(80)*log(5)**8 + 30672617472*exp(80)*log(5)**13 + 257065746432*exp(80)*log(

5)**9 + 66457337856*exp(80)*log(5)**12 + 192799309824*exp(80)*log(5)**10 + 122690469888*exp(80)*log(5)**11) +

x**15*(-438180249600*exp(80)*log(5)**11 - 255605145600*exp(80)*log(5)**12 - 642664366080*exp(80)*log(5)**10 -

127802572800*exp(80)*log(5)**13 - 803330457600*exp(80)*log(5)**9 - 54772531200*exp(80)*log(5)**14 - 8505851904

00*exp(80)*log(5)**8 - 20083261440*exp(80)*log(5)**15 - 756075724800*exp(80)*log(5)**7 - 6276019200*exp(80)*lo

g(5)**16 - 557108428800*exp(80)*log(5)**6 - 1661299200*exp(80)*log(5)**17 - 334265057280*exp(80)*log(5)**5 - 3

69177600*exp(80)*log(5)**18 - 159173836800*exp(80)*log(5)**4 - 68006400*exp(80)*log(5)**19 - 57881395200*exp(8

0)*log(5)**3 - 10200960*exp(80)*log(5)**20 - 15099494400*exp(80)*log(5)**2 - 1214400*exp(80)*log(5)**21 - 2516

582400*exp(80)*log(5) - 110400*exp(80)*log(5)**22 - 7200*exp(80)*log(5)**23 - 201326592*exp(80) - 300*exp(80)*

log(5)**24 - 6*exp(80)*log(5)**25) + x**14*(6*exp(80)*log(5)**26 + 312*exp(80)*log(5)**25 + 402653184*exp(80)

+ 7800*exp(80)*log(5)**24 + 124800*exp(80)*log(5)**23 + 5234491392*exp(80)*log(5) + 1435200*exp(80)*log(5)**22

+ 32715571200*exp(80)*log(5)**2 + 12629760*exp(80)*log(5)**21 + 130862284800*exp(80)*log(5)**3 + 88408320*exp

(80)*log(5)**20 + 376229068800*exp(80)*log(5)**4 + 505190400*exp(80)*log(5)**19 + 827703951360*exp(80)*log(5)*

*5 + 2399654400*exp(80)*log(5)**18 + 1448481914880*exp(80)*log(5)**6 + 9598617600*exp(80)*log(5)**17 + 2069259

878400*exp(80)*log(5)**7 + 32635299840*exp(80)*log(5)**16 + 2457246105600*exp(80)*log(5)**8 + 94939054080*exp(

80)*log(5)**15 + 2457246105600*exp(80)*log(5)**9 + 237347635200*exp(80)*log(5)**14 + 2088659189760*exp(80)*log

(5)**10 + 511210291200*exp(80)*log(5)**13 + 1519024865280*exp(80)*log(5)**11 + 949390540800*exp(80)*log(5)**12

) + x**13*(-3417805946880*exp(80)*log(5)**12 - 5126708920320*exp(80)*log(5)**11 - 1971811123200*exp(80)*log(5)

**13 - 6634564485120*exp(80)*log(5)**10 - 985905561600*exp(80)*log(5)**14 - 427225743360*exp(80)*log(5)**15 -

7371738316800*exp(80)*log(5)**9 - 160209653760*exp(80)*log(5)**16 - 6983752089600*exp(80)*log(5)**8 - 51832535

040*exp(80)*log(5)**17 - 5587001671680*exp(80)*log(5)**7 - 14397926400*exp(80)*log(5)**18 - 3724667781120*exp(

80)*log(5)**6 - 3410035200*exp(80)*log(5)**19 - 2031636971520*exp(80)*log(5)**5 - 682007040*exp(80)*log(5)**20

- 883320422400*exp(80)*log(5)**4 - 113667840*exp(80)*log(5)**21 - 294440140800*exp(80)*log(5)**3 - 15500160*e

xp(80)*log(5)**22 - 70665633792*exp(80)*log(5)**2 - 1684800*exp(80)*log(5)**23 - 10871635968*exp(80)*log(5) -

140400*exp(80)*log(5)**24 - 8424*exp(80)*log(5)**25 - 805306368*exp(80) - 324*exp(80)*log(5)**26 - 6*exp(80)*l

og(5)**27) + x**12*(6*exp(80)*log(5)**28 + 336*exp(80)*log(5)**27 + 1610612736*exp(80) + 9072*exp(80)*log(5)**

26 + 157248*exp(80)*log(5)**25 + 22548578304*exp(80)*log(5) + 1965600*exp(80)*log(5)**24 + 152202903552*exp(80

)*log(5)**2 + 18869760*exp(80)*log(5)**23 + 659545915392*exp(80)*log(5)**3 + 144668160*exp(80)*log(5)**22 + 20

61080985600*exp(80)*log(5)**4 + 909342720*exp(80)*log(5)**21 + 4946594365440*exp(80)*log(5)**5 + 4774049280*ex

p(80)*log(5)**20 + 9480972533760*exp(80)*log(5)**6 + 21217996800*exp(80)*log(5)**19 + 14898671124480*exp(80)*l

og(5)**7 + 80628387840*exp(80)*log(5)**18 + 263874723840*exp(80)*log(5)**17 + 19554505850880*exp(80)*log(5)**8

+ 747645050880*exp(80)*log(5)**16 + 21727228723200*exp(80)*log(5)**9 + 1840357048320*exp(80)*log(5)**15 + 206

40867287040*exp(80)*log(5)**10 + 3943622246400*exp(80)*log(5)**14 + 16887982325760*exp(80)*log(5)**11 + 736142

8193280*exp(80)*log(5)**13 + 11962320814080*exp(80)*log(5)**12) + x**11*(-26685177200640*exp(80)*log(5)**13 -

40812623953920*exp(80)*log(5)**12 - 15248672686080*exp(80)*log(5)**14 - 54416831938560*exp(80)*log(5)**11 - 76

24336343040*exp(80)*log(5)**15 - 63008963297280*exp(80)*log(5)**10 - 3335647150080*exp(80)*log(5)**16 - 630089

63297280*exp(80)*log(5)**9 - 1275394498560*exp(80)*log(5)**17 - 54007682826240*exp(80)*log(5)**8 - 42513149952

0*exp(80)*log(5)**18 - 39278314782720*exp(80)*log(5)**7 - 123064381440*exp(80)*log(5)**19 - 30766095360*exp(80

)*log(5)**20 - 23908539432960*exp(80)*log(5)**6 - 6592734720*exp(80)*log(5)**21 - 11954269716480*exp(80)*log(5

)**5 - 1198679040*exp(80)*log(5)**22 - 4781707886592*exp(80)*log(5)**4 - 182407680*exp(80)*log(5)**23 - 147129

4734336*exp(80)*log(5)**3 - 22800960*exp(80)*log(5)**24 - 326954385408*exp(80)*log(5)**2 - 2280096*exp(80)*log

(5)**25 - 46707769344*exp(80)*log(5) - 175392*exp(80)*log(5)**26 - 9744*exp(80)*log(5)**27 - 3221225472*exp(80

) - 348*exp(80)*log(5)**28 - 6*exp(80)*log(5)**29) + x**10*(6*exp(80)*log(5)**30 + 360*exp(80)*log(5)**29 + 10

440*exp(80)*log(5)**28 + 6442450944*exp(80) + 194880*exp(80)*log(5)**27 + 96636764160*exp(80)*log(5) + 2630880

*exp(80)*log(5)**26 + 700616540160*exp(80)*log(5)**2 + 27361152*exp(80)*log(5)**25 + 3269543854080*exp(80)*log

(5)**3 + 228009600*exp(80)*log(5)**24 + 11034710507520*exp(80)*log(5)**4 + 1563494400*exp(80)*log(5)**23 + 286

90247319552*exp(80)*log(5)**5 + 8990092800*exp(80)*log(5)**22 + 43951564800*exp(80)*log(5)**21 + 5977134858240

0*exp(80)*log(5)**6 + 184596572160*exp(80)*log(5)**20 + 102465168998400*exp(80)*log(5)**7 + 671260262400*exp(8

0)*log(5)**19 + 147293680435200*exp(80)*log(5)**8 + 2125657497600*exp(80)*log(5)**18 + 180025609420800*exp(80)

*log(5)**9 + 5886436147200*exp(80)*log(5)**17 + 189026889891840*exp(80)*log(5)**10 + 14295630643200*exp(80)*lo

g(5)**16 + 171842627174400*exp(80)*log(5)**11 + 30497345372160*exp(80)*log(5)**15 + 136042079846400*exp(80)*lo

g(5)**12 + 57182522572800*exp(80)*log(5)**14 + 94182978355200*exp(80)*log(5)**13) + x**9*(-208548023500800*exp

(80)*log(5)**14 - 324408036556800*exp(80)*log(5)**13 - 118177213317120*exp(80)*log(5)**15 - 443926786867200*ex

p(80)*log(5)**12 - 59088606658560*exp(80)*log(5)**16 - 532712144240640*exp(80)*log(5)**11 - 26068502937600*exp

(80)*log(5)**17 - 558079389204480*exp(80)*log(5)**10 - 10137751142400*exp(80)*log(5)**18 - 507344899276800*exp

(80)*log(5)**9 - 3468178022400*exp(80)*log(5)**19 - 397052529868800*exp(80)*log(5)**8 - 1040453406720*exp(80)*

log(5)**20 - 264701686579200*exp(80)*log(5)**7 - 272499701760*exp(80)*log(5)**21 - 148232944484352*exp(80)*log

(5)**6 - 61931750400*exp(80)*log(5)**22 - 68415205146624*exp(80)*log(5)**5 - 12117081600*exp(80)*log(5)**23 -

2019513600*exp(80)*log(5)**24 - 25338964869120*exp(80)*log(5)**4 - 282731904*exp(80)*log(5)**25 - 723970424832

0*exp(80)*log(5)**3 - 32622912*exp(80)*log(5)**26 - 1497869844480*exp(80)*log(5)**2 - 3020640*exp(80)*log(5)**

27 - 199715979264*exp(80)*log(5) - 215760*exp(80)*log(5)**28 - 12884901888*exp(80) - 11160*exp(80)*log(5)**29

- 372*exp(80)*log(5)**30 - 6*exp(80)*log(5)**31) + x**8*(6*exp(80)*log(5)**32 + 384*exp(80)*log(5)**31 + 11904

*exp(80)*log(5)**30 + 25769803776*exp(80) + 238080*exp(80)*log(5)**29 + 412316860416*exp(80)*log(5) + 3452160*

exp(80)*log(5)**28 + 3195455668224*exp(80)*log(5)**2 + 38664192*exp(80)*log(5)**27 + 15977278341120*exp(80)*lo

g(5)**3 + 347977728*exp(80)*log(5)**26 + 2584977408*exp(80)*log(5)**25 + 57917633986560*exp(80)*log(5)**4 + 16

156108800*exp(80)*log(5)**24 + 162169375162368*exp(80)*log(5)**5 + 86165913600*exp(80)*log(5)**23 + 3648810941

15328*exp(80)*log(5)**6 + 396363202560*exp(80)*log(5)**22 + 677636317642752*exp(80)*log(5)**7 + 1585452810240*

exp(80)*log(5)**21 + 1058806746316800*exp(80)*log(5)**8 + 5549084835840*exp(80)*log(5)**20 + 1411742328422400*

exp(80)*log(5)**9 + 17074107187200*exp(80)*log(5)**19 + 1623503677685760*exp(80)*log(5)**10 + 46344005222400*e

xp(80)*log(5)**18 + 1623503677685760*exp(80)*log(5)**11 + 111225612533760*exp(80)*log(5)**17 + 142056571797504

0*exp(80)*log(5)**12 + 236354426634240*exp(80)*log(5)**16 + 1092742859980800*exp(80)*log(5)**13 + 444902450135

040*exp(80)*log(5)**15 + 741504083558400*exp(80)*log(5)**14) + x**7*(-1631308983828480*exp(80)*log(5)**15 - 25

75751027097600*exp(80)*log(5)**14 - 917611303403520*exp(80)*log(5)**16 - 3606051437936640*exp(80)*log(5)**13 -

458805651701760*exp(80)*log(5)**17 - 4464635113635840*exp(80)*log(5)**12 - 203913622978560*exp(80)*log(5)**18

- 4870511033057280*exp(80)*log(5)**11 - 80492219596800*exp(80)*log(5)**19 - 4658749683793920*exp(80)*log(5)**

10 - 28172276858880*exp(80)*log(5)**20 - 3882291403161600*exp(80)*log(5)**9 - 8719990456320*exp(80)*log(5)**21

- 2795249810276352*exp(80)*log(5)**8 - 2378179215360*exp(80)*log(5)**22 - 1720153729400832*exp(80)*log(5)**7

- 568695029760*exp(80)*log(5)**23 - 891931563393024*exp(80)*log(5)**6 - 118478131200*exp(80)*log(5)**24 - 3822

56384311296*exp(80)*log(5)**5 - 21326063616*exp(80)*log(5)**25 - 131812546314240*exp(80)*log(5)**4 - 328093286

4*exp(80)*log(5)**26 - 425306112*exp(80)*log(5)**27 - 35150012350464*exp(80)*log(5)**3 - 45568512*exp(80)*log(

5)**28 - 6803228196864*exp(80)*log(5)**2 - 3928320*exp(80)*log(5)**29 - 850403524608*exp(80)*log(5) - 261888*e

xp(80)*log(5)**30 - 51539607552*exp(80) - 12672*exp(80)*log(5)**31 - 396*exp(80)*log(5)**32 - 6*exp(80)*log(5)

**33) + x**6*(6*exp(80)*log(5)**34 + 408*exp(80)*log(5)**33 + 13464*exp(80)*log(5)**32 + 103079215104*exp(80)

+ 287232*exp(80)*log(5)**31 + 1752346656768*exp(80)*log(5) + 4452096*exp(80)*log(5)**30 + 14456859918336*exp(8

0)*log(5)**2 + 53425152*exp(80)*log(5)**29 + 516443136*exp(80)*log(5)**28 + 77103252897792*exp(80)*log(5)**3 +

4131545088*exp(80)*log(5)**27 + 298775104978944*exp(80)*log(5)**4 + 27887929344*exp(80)*log(5)**26 + 89632531

4936832*exp(80)*log(5)**5 + 161130258432*exp(80)*log(5)**25 + 2166119511097344*exp(80)*log(5)**6 + 80565129216

0*exp(80)*log(5)**24 + 4332239022194688*exp(80)*log(5)**7 + 3515569274880*exp(80)*log(5)**23 + 731065334995353

6*exp(80)*log(5)**8 + 13476348887040*exp(80)*log(5)**22 + 10559832616599552*exp(80)*log(5)**9 + 45612257771520

*exp(80)*log(5)**21 + 13199790770749440*exp(80)*log(5)**10 + 136836773314560*exp(80)*log(5)**20 + 143997717499

08480*exp(80)*log(5)**11 + 364898062172160*exp(80)*log(5)**19 + 13799781260328960*exp(80)*log(5)**12 + 8666328

97658880*exp(80)*log(5)**18 + 11676737989509120*exp(80)*log(5)**13 + 1835222606807040*exp(80)*log(5)**17 + 875

7553492131840*exp(80)*log(5)**14 + 3466531590635520*exp(80)*log(5)**16 + 5838368994754560*exp(80)*log(5)**15)

+ x**5*(-12771432176025600*exp(80)*log(5)**16 - 20434291481640960*exp(80)*log(5)**15 - 7136976804249600*exp(80

)*log(5)**17 - 29191844973772800*exp(80)*log(5)**14 - 3568488402124800*exp(80)*log(5)**18 - 37153257239347200*

exp(80)*log(5)**13 - 1596429022003200*exp(80)*log(5)**19 - 41999334270566400*exp(80)*log(5)**12 - 638571608801

280*exp(80)*log(5)**20 - 41999334270566400*exp(80)*log(5)**11 - 228061288857600*exp(80)*log(5)**21 - 369594141

58098432*exp(80)*log(5)**10 - 72564955545600*exp(80)*log(5)**22 - 28430318583152640*exp(80)*log(5)**9 - 205074

87436800*exp(80)*log(5)**23 - 18953545722101760*exp(80)*log(5)**8 - 5126871859200*exp(80)*log(5)**24 - 1083059

7555486720*exp(80)*log(5)**7 - 1127911809024*exp(80)*log(5)**25 - 5228564337131520*exp(80)*log(5)**6 - 2169061

17120*exp(80)*log(5)**26 - 2091425734852608*exp(80)*log(5)**5 - 36151019520*exp(80)*log(5)**27 - 6746534628556

80*exp(80)*log(5)**4 - 5164431360*exp(80)*log(5)**28 - 168663365713920*exp(80)*log(5)**3 - 623293440*exp(80)*l

og(5)**29 - 62329344*exp(80)*log(5)**30 - 30666066493440*exp(80)*log(5)**2 - 5026560*exp(80)*log(5)**31 - 3607

772528640*exp(80)*log(5) - 314160*exp(80)*log(5)**32 - 206158430208*exp(80) - 14280*exp(80)*log(5)**33 - 420*e

xp(80)*log(5)**34 - 6*exp(80)*log(5)**35) + x**4*(6*exp(80)*log(5)**36 + 432*exp(80)*log(5)**35 + 15120*exp(80

)*log(5)**34 + 412316860416*exp(80) + 342720*exp(80)*log(5)**33 + 7421703487488*exp(80)*log(5) + 5654880*exp(8

0)*log(5)**32 + 64939905515520*exp(80)*log(5)**2 + 72382464*exp(80)*log(5)**31 + 747952128*exp(80)*log(5)**30

+ 367992797921280*exp(80)*log(5)**3 + 6411018240*exp(80)*log(5)**29 + 1517970291425280*exp(80)*log(5)**4 + 464

79882240*exp(80)*log(5)**28 + 4857504932560896*exp(80)*log(5)**5 + 289208156160*exp(80)*log(5)**27 + 125485544

09115648*exp(80)*log(5)**6 + 1561724043264*exp(80)*log(5)**26 + 26889759448104960*exp(80)*log(5)**7 + 73826954

77248*exp(80)*log(5)**25 + 48737688999690240*exp(80)*log(5)**8 + 30761231155200*exp(80)*log(5)**24 + 758141828

88407040*exp(80)*log(5)**9 + 113579930419200*exp(80)*log(5)**23 + 102349146899349504*exp(80)*log(5)**10 + 3731

91199948800*exp(80)*log(5)**22 + 120958082699231232*exp(80)*log(5)**11 + 1094694186516480*exp(80)*log(5)**21 +

125998002811699200*exp(80)*log(5)**12 + 2873572239605760*exp(80)*log(5)**20 + 116305848749260800*exp(80)*log(

5)**13 + 6761346446131200*exp(80)*log(5)**19 + 95536947186892800*exp(80)*log(5)**14 + 14273953608499200*exp(80

)*log(5)**18 + 27045385784524800*exp(80)*log(5)**17 + 70060427937054720*exp(80)*log(5)**15 + 45977155833692160

*exp(80)*log(5)**16) + x**3*(-162014739604439040*exp(80)*log(5)**16 - 100067927402741760*exp(80)*log(5)**17 -

235657803061002240*exp(80)*log(5)**15 - 55593293001523200*exp(80)*log(5)**18 - 307379743123046400*exp(80)*log(

5)**14 - 27796646500761600*exp(80)*log(5)**19 - 358609700310220800*exp(80)*log(5)**13 - 12508490925342720*exp(

80)*log(5)**20 - 372954088322629632*exp(80)*log(5)**12 - 5062960612638720*exp(80)*log(5)**21 - 184107658641408

0*exp(80)*log(5)**22 - 344265312297811968*exp(80)*log(5)**11 - 600351060787200*exp(80)*log(5)**23 - 2805124766

87106048*exp(80)*log(5)**10 - 175102392729600*exp(80)*log(5)**24 - 200366054776504320*exp(80)*log(5)**9 - 4552

6622109696*exp(80)*log(5)**25 - 124365137447485440*exp(80)*log(5)**8 - 10506143563776*exp(80)*log(5)**26 - 663

28073305325568*exp(80)*log(5)**7 - 2140140355584*exp(80)*log(5)**27 - 29954613750792192*exp(80)*log(5)**6 - 38

2167920640*exp(80)*log(5)**28 - 11232980156547072*exp(80)*log(5)**5 - 59301918720*exp(80)*log(5)**29 - 3403933

380771840*exp(80)*log(5)**4 - 7906922496*exp(80)*log(5)**30 - 800925501358080*exp(80)*log(5)**3 - 892717056*ex

p(80)*log(5)**31 - 137301514518528*exp(80)*log(5)**2 - 83692224*exp(80)*log(5)**32 - 6340320*exp(80)*log(5)**3

3 - 15255723835392*exp(80)*log(5) - 372960*exp(80)*log(5)**34 - 824633720832*exp(80) - 15984*exp(80)*log(5)**3

5 - 444*exp(80)*log(5)**36 - 6*exp(80)*log(5)**37) + x**2*(-6 + 6*exp(80)*log(5)**38 + 456*exp(80)*log(5)**37

+ 16872*exp(80)*log(5)**36 + 1649267441664*exp(80) + 404928*exp(80)*log(5)**35 + 31336081391616*exp(80)*log(5)

+ 7086240*exp(80)*log(5)**34 + 96372864*exp(80)*log(5)**33 + 289858752872448*exp(80)*log(5)**2 + 1060101504*e

xp(80)*log(5)**32 + 1739152517234688*exp(80)*log(5)**3 + 9692356608*exp(80)*log(5)**31 + 7608792262901760*exp(

80)*log(5)**4 + 75115763712*exp(80)*log(5)**30 + 25869893693865984*exp(80)*log(5)**5 + 500771758080*exp(80)*lo

g(5)**29 + 71142207658131456*exp(80)*log(5)**6 + 2904476196864*exp(80)*log(5)**28 + 162610760361443328*exp(80)

*log(5)**7 + 14786424274944*exp(80)*log(5)**27 + 315058348200296448*exp(80)*log(5)**8 + 66538909237248*exp(80)

*log(5)**26 + 525097247000494080*exp(80)*log(5)**9 + 266155636948992*exp(80)*log(5)**25 + 950555846246400*exp(

80)*log(5)**24 + 761391008150716416*exp(80)*log(5)**10 + 3041778707988480*exp(80)*log(5)**23 + 969043101282729

984*exp(80)*log(5)**11 + 8745113785466880*exp(80)*log(5)**22 + 1090173488943071232*exp(80)*log(5)**12 + 226344

12150620160*exp(80)*log(5)**21 + 1090173488943071232*exp(80)*log(5)**13 + 52813628351447040*exp(80)*log(5)**20

+ 973369186556313600*exp(80)*log(5)**14 + 111186586003046400*exp(80)*log(5)**19 + 778695349245050880*exp(80)*

log(5)**15 + 211254513405788160*exp(80)*log(5)**18 + 559687282269880320*exp(80)*log(5)**16 + 36215059440992256

0*exp(80)*log(5)**17) + x*(-1283988471089725440*exp(80)*log(5)**17 - 784659621221498880*exp(80)*log(5)**18 - 1

898069913784811520*exp(80)*log(5)**16 - 433627685411880960*exp(80)*log(5)**19 - 2530759885046415360*exp(80)*lo

g(5)**15 - 216813842705940480*exp(80)*log(5)**20 - 3036911862055698432*exp(80)*log(5)**14 - 98082452652687360*

exp(80)*log(5)**21 - 3270520466829213696*exp(80)*log(5)**13 - 40124639721553920*exp(80)*log(5)**22 - 314939007

9168872448*exp(80)*log(5)**12 - 14828671201443840*exp(80)*log(5)**23 - 2699477210716176384*exp(80)*log(5)**11

- 4942890400481280*exp(80)*log(5)**24 - 2047879263301926912*exp(80)*log(5)**10 - 1482867120144384*exp(80)*log(

5)**25 - 1365252842201284608*exp(80)*log(5)**9 - 399233455423488*exp(80)*log(5)**26 - 96111757787136*exp(80)*l

og(5)**27 - 792727456762036224*exp(80)*log(5)**8 - 20595376668672*exp(80)*log(5)**28 - 396363728381018112*exp(

80)*log(5)**7 - 3906019713024*exp(80)*log(5)**29 - 168154309010128896*exp(80)*log(5)**6 - 651003285504*exp(80)

*log(5)**30 - 59348579650633728*exp(80)*log(5)**5 - 94500476928*exp(80)*log(5)**31 - 16956737043038208*exp(80)

*log(5)**4 - 11812559616*exp(80)*log(5)**32 - 3768163787341824*exp(80)*log(5)**3 - 1252847232*exp(80)*log(5)**

33 - 611053587136512*exp(80)*log(5)**2 - 110545344*exp(80)*log(5)**34 - 7896096*exp(80)*log(5)**35 - 643214302

24896*exp(80)*log(5) - 438672*exp(80)*log(5)**36 - 3298534883328*exp(80) - 17784*exp(80)*log(5)**37 - 468*exp(

80)*log(5)**38 - 6*exp(80)*log(5)**39 + 6*log(5) + 12) + (-10172662283029708800*exp(80)*log(5)**18 - 615713769

7623244800*exp(80)*log(5)**19 - 15258993424544563200*exp(80)*log(5)**17 - 3386425733692784640*exp(80)*log(5)**

20 - 20752231057380605952*exp(80)*log(5)**16 - 1693212866846392320*exp(80)*log(5)**21 - 25541207455237668864*e

xp(80)*log(5)**15 - 769642212202905600*exp(80)*log(5)**22 - 28379119394708520960*exp(80)*log(5)**14 - 31789569

6344678400*exp(80)*log(5)**23 - 28379119394708520960*exp(80)*log(5)**13 - 119210886129254400*exp(80)*log(5)**2

4 - 25443348422842122240*exp(80)*log(5)**12 - 40531701283946496*exp(80)*log(5)**25 - 20354678738273697792*exp(

80)*log(5)**11 - 12471292702752768*exp(80)*log(5)**26 - 14445255878774882304*exp(80)*log(5)**10 - 346424797298

6880*exp(80)*log(5)**27 - 9028284924234301440*exp(80)*log(5)**9 - 866061993246720*exp(80)*log(5)**28 - 4924519

049582346240*exp(80)*log(5)**8 - 194117343313920*exp(80)*log(5)**29 - 2317420729215221760*exp(80)*log(5)**7 -

38823468662784*exp(80)*log(5)**30 - 6888034762752*exp(80)*log(5)**31 - 926968291686088704*exp(80)*log(5)**6 -

1076255431680*exp(80)*log(5)**32 - 308989430562029568*exp(80)*log(5)**5 - 146762104320*exp(80)*log(5)**33 - 83

510656908656640*exp(80)*log(5)**4 - 17266129920*exp(80)*log(5)**34 - 17581190928138240*exp(80)*log(5)**3 - 172

6612992*exp(80)*log(5)**35 - 2704798604328960*exp(80)*log(5)**2 - 143884416*exp(80)*log(5)**36 - 2704798604328

96*exp(80)*log(5) - 9721920*exp(80)*log(5)**37 - 511680*exp(80)*log(5)**38 - 13194139533312*exp(80) - 19680*ex

p(80)*log(5)**39 - 492*exp(80)*log(5)**40 - 6*exp(80)*log(5)**41 + 6*log(5)**3 + 48 + 36*log(5)**2 + 72*log(5)

Maxima [B] (veriﬁcation not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 6875 vs. \(2 (23) = 46\).

Time = 0.27 (sec) , antiderivative size = 6875, normalized size of antiderivative = 286.46 \[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx=\text {Too large to display} \]

integrate(((246*log(5)+240*x+492)*exp(40*log(x)+80)-18*x^2*log(5)-12*x^3-36*x^2)/(log(5)^2+(4+2*x)*log(5)+x^2+

6*x^40*e^80 - 6*(e^80*log(5) + 2*e^80)*x^39 + 6*(e^80*log(5)^2 + 4*e^80*log(5) + 4*e^80)*x^38 - 6*(e^80*log(5)

^3 + 6*e^80*log(5)^2 + 12*e^80*log(5) + 8*e^80)*x^37 + 6*(e^80*log(5)^4 + 8*e^80*log(5)^3 + 24*e^80*log(5)^2 +

32*e^80*log(5) + 16*e^80)*x^36 - 6*(e^80*log(5)^5 + 10*e^80*log(5)^4 + 40*e^80*log(5)^3 + 80*e^80*log(5)^2 +

80*e^80*log(5) + 32*e^80)*x^35 + 6*(e^80*log(5)^6 + 12*e^80*log(5)^5 + 60*e^80*log(5)^4 + 160*e^80*log(5)^3 +

240*e^80*log(5)^2 + 192*e^80*log(5) + 64*e^80)*x^34 - 6*(e^80*log(5)^7 + 14*e^80*log(5)^6 + 84*e^80*log(5)^5 +

280*e^80*log(5)^4 + 560*e^80*log(5)^3 + 672*e^80*log(5)^2 + 448*e^80*log(5) + 128*e^80)*x^33 + 6*(e^80*log(5)

^8 + 16*e^80*log(5)^7 + 112*e^80*log(5)^6 + 448*e^80*log(5)^5 + 1120*e^80*log(5)^4 + 1792*e^80*log(5)^3 + 1792

*e^80*log(5)^2 + 1024*e^80*log(5) + 256*e^80)*x^32 - 6*(e^80*log(5)^9 + 18*e^80*log(5)^8 + 144*e^80*log(5)^7 +

672*e^80*log(5)^6 + 2016*e^80*log(5)^5 + 4032*e^80*log(5)^4 + 5376*e^80*log(5)^3 + 4608*e^80*log(5)^2 + 2304*

e^80*log(5) + 512*e^80)*x^31 + 6*(e^80*log(5)^10 + 20*e^80*log(5)^9 + 180*e^80*log(5)^8 + 960*e^80*log(5)^7 +

3360*e^80*log(5)^6 + 8064*e^80*log(5)^5 + 13440*e^80*log(5)^4 + 15360*e^80*log(5)^3 + 11520*e^80*log(5)^2 + 51

20*e^80*log(5) + 1024*e^80)*x^30 - 6*(e^80*log(5)^11 + 22*e^80*log(5)^10 + 220*e^80*log(5)^9 + 1320*e^80*log(5

)^8 + 5280*e^80*log(5)^7 + 14784*e^80*log(5)^6 + 29568*e^80*log(5)^5 + 42240*e^80*log(5)^4 + 42240*e^80*log(5)

^3 + 28160*e^80*log(5)^2 + 11264*e^80*log(5) + 2048*e^80)*x^29 + 6*(e^80*log(5)^12 + 24*e^80*log(5)^11 + 264*e

^80*log(5)^10 + 1760*e^80*log(5)^9 + 7920*e^80*log(5)^8 + 25344*e^80*log(5)^7 + 59136*e^80*log(5)^6 + 101376*e

^80*log(5)^5 + 126720*e^80*log(5)^4 + 112640*e^80*log(5)^3 + 67584*e^80*log(5)^2 + 24576*e^80*log(5) + 4096*e^

80)*x^28 - 6*(e^80*log(5)^13 + 26*e^80*log(5)^12 + 312*e^80*log(5)^11 + 2288*e^80*log(5)^10 + 11440*e^80*log(5

)^9 + 41184*e^80*log(5)^8 + 109824*e^80*log(5)^7 + 219648*e^80*log(5)^6 + 329472*e^80*log(5)^5 + 366080*e^80*l

og(5)^4 + 292864*e^80*log(5)^3 + 159744*e^80*log(5)^2 + 53248*e^80*log(5) + 8192*e^80)*x^27 + 6*(e^80*log(5)^1

4 + 28*e^80*log(5)^13 + 364*e^80*log(5)^12 + 2912*e^80*log(5)^11 + 16016*e^80*log(5)^10 + 64064*e^80*log(5)^9

+ 192192*e^80*log(5)^8 + 439296*e^80*log(5)^7 + 768768*e^80*log(5)^6 + 1025024*e^80*log(5)^5 + 1025024*e^80*lo

g(5)^4 + 745472*e^80*log(5)^3 + 372736*e^80*log(5)^2 + 114688*e^80*log(5) + 16384*e^80)*x^26 - 6*(e^80*log(5)^

15 + 30*e^80*log(5)^14 + 420*e^80*log(5)^13 + 3640*e^80*log(5)^12 + 21840*e^80*log(5)^11 + 96096*e^80*log(5)^1

0 + 320320*e^80*log(5)^9 + 823680*e^80*log(5)^8 + 1647360*e^80*log(5)^7 + 2562560*e^80*log(5)^6 + 3075072*e^80

*log(5)^5 + 2795520*e^80*log(5)^4 + 1863680*e^80*log(5)^3 + 860160*e^80*log(5)^2 + 245760*e^80*log(5) + 32768*

e^80)*x^25 + 6*(e^80*log(5)^16 + 32*e^80*log(5)^15 + 480*e^80*log(5)^14 + 4480*e^80*log(5)^13 + 29120*e^80*log

(5)^12 + 139776*e^80*log(5)^11 + 512512*e^80*log(5)^10 + 1464320*e^80*log(5)^9 + 3294720*e^80*log(5)^8 + 58572

80*e^80*log(5)^7 + 8200192*e^80*log(5)^6 + 8945664*e^80*log(5)^5 + 7454720*e^80*log(5)^4 + 4587520*e^80*log(5)

^3 + 1966080*e^80*log(5)^2 + 524288*e^80*log(5) + 65536*e^80)*x^24 - 6*(e^80*log(5)^17 + 34*e^80*log(5)^16 + 5

44*e^80*log(5)^15 + 5440*e^80*log(5)^14 + 38080*e^80*log(5)^13 + 198016*e^80*log(5)^12 + 792064*e^80*log(5)^11

+ 2489344*e^80*log(5)^10 + 6223360*e^80*log(5)^9 + 12446720*e^80*log(5)^8 + 19914752*e^80*log(5)^7 + 25346048

*e^80*log(5)^6 + 25346048*e^80*log(5)^5 + 19496960*e^80*log(5)^4 + 11141120*e^80*log(5)^3 + 4456448*e^80*log(5

)^2 + 1114112*e^80*log(5) + 131072*e^80)*x^23 + 6*(e^80*log(5)^18 + 36*e^80*log(5)^17 + 612*e^80*log(5)^16 + 6

528*e^80*log(5)^15 + 48960*e^80*log(5)^14 + 274176*e^80*log(5)^13 + 1188096*e^80*log(5)^12 + 4073472*e^80*log(

5)^11 + 11202048*e^80*log(5)^10 + 24893440*e^80*log(5)^9 + 44808192*e^80*log(5)^8 + 65175552*e^80*log(5)^7 + 7

6038144*e^80*log(5)^6 + 70189056*e^80*log(5)^5 + 50135040*e^80*log(5)^4 + 26738688*e^80*log(5)^3 + 10027008*e^

80*log(5)^2 + 2359296*e^80*log(5) + 262144*e^80)*x^22 - 6*(e^80*log(5)^19 + 38*e^80*log(5)^18 + 684*e^80*log(5

)^17 + 7752*e^80*log(5)^16 + 62016*e^80*log(5)^15 + 372096*e^80*log(5)^14 + 1736448*e^80*log(5)^13 + 6449664*e

^80*log(5)^12 + 19348992*e^80*log(5)^11 + 47297536*e^80*log(5)^10 + 94595072*e^80*log(5)^9 + 154791936*e^80*lo

g(5)^8 + 206389248*e^80*log(5)^7 + 222265344*e^80*log(5)^6 + 190513152*e^80*log(5)^5 + 127008768*e^80*log(5)^4

+ 63504384*e^80*log(5)^3 + 22413312*e^80*log(5)^2 + 4980736*e^80*log(5) + 524288*e^80)*x^21 + 6*(e^80*log(5)^

20 + 40*e^80*log(5)^19 + 760*e^80*log(5)^18 + 9120*e^80*log(5)^17 + 77520*e^80*log(5)^16 + 496128*e^80*log(5)^

15 + 2480640*e^80*log(5)^14 + 9922560*e^80*log(5)^13 + 32248320*e^80*log(5)^12 + 85995520*e^80*log(5)^11 + 189

190144*e^80*log(5)^10 + 343982080*e^80*log(5)^9 + 515973120*e^80*log(5)^8 + 635043840*e^80*log(5)^7 + 63504384

0*e^80*log(5)^6 + 508035072*e^80*log(5)^5 + 317521920*e^80*log(5)^4 + 149422080*e^80*log(5)^3 + 49807360*e^80*

log(5)^2 + 10485760*e^80*log(5) + 1048576*e^80)*x^20 - 6*(e^80*log(5)^21 + 42*e^80*log(5)^20 + 840*e^80*log(5)

^19 + 10640*e^80*log(5)^18 + 95760*e^80*log(5)^17 + 651168*e^80*log(5)^16 + 3472896*e^80*log(5)^15 + 14883840*

e^80*log(5)^14 + 52093440*e^80*log(5)^13 + 150492160*e^80*log(5)^12 + 361181184*e^80*log(5)^11 + 722362368*e^8

0*log(5)^10 + 1203937280*e^80*log(5)^9 + 1666990080*e^80*log(5)^8 + 1905131520*e^80*log(5)^7 + 1778122752*e^80

*log(5)^6 + 1333592064*e^80*log(5)^5 + 784465920*e^80*log(5)^4 + 348651520*e^80*log(5)^3 + 110100480*e^80*log(

5)^2 + 22020096*e^80*log(5) + 2097152*e^80)*x^19 + 6*(e^80*log(5)^22 + 44*e^80*log(5)^21 + 924*e^80*log(5)^20

+ 12320*e^80*log(5)^19 + 117040*e^80*log(5)^18 + 842688*e^80*log(5)^17 + 4775232*e^80*log(5)^16 + 21829632*e^8

0*log(5)^15 + 81861120*e^80*log(5)^14 + 254679040*e^80*log(5)^13 + 662165504*e^80*log(5)^12 + 1444724736*e^80*

log(5)^11 + 2648662016*e^80*log(5)^10 + 4074864640*e^80*log(5)^9 + 5239111680*e^80*log(5)^8 + 5588385792*e^80*

log(5)^7 + 4889837568*e^80*log(5)^6 + 3451650048*e^80*log(5)^5 + 1917583360*e^80*log(5)^4 + 807403520*e^80*log

(5)^3 + 242221056*e^80*log(5)^2 + 46137344*e^80*log(5) + 4194304*e^80)*x^18 - 6*(e^80*log(5)^23 + 46*e^80*log(

5)^22 + 1012*e^80*log(5)^21 + 14168*e^80*log(5)^20 + 141680*e^80*log(5)^19 + 1076768*e^80*log(5)^18 + 6460608*

e^80*log(5)^17 + 31380096*e^80*log(5)^16 + 125520384*e^80*log(5)^15 + 418401280*e^80*log(5)^14 + 1171523584*e^

80*log(5)^13 + 2769055744*e^80*log(5)^12 + 5538111488*e^80*log(5)^11 + 9372188672*e^80*log(5)^10 + 13388840960

*e^80*log(5)^9 + 16066609152*e^80*log(5)^8 + 16066609152*e^80*log(5)^7 + 13231325184*e^80*log(5)^6 + 882088345

6*e^80*log(5)^5 + 4642570240*e^80*log(5)^4 + 1857028096*e^80*log(5)^3 + 530579456*e^80*log(5)^2 + 96468992*e^8

0*log(5) + 8388608*e^80)*x^17 + 6*(e^80*log(5)^24 + 48*e^80*log(5)^23 + 1104*e^80*log(5)^22 + 16192*e^80*log(5

)^21 + 170016*e^80*log(5)^20 + 1360128*e^80*log(5)^19 + 8614144*e^80*log(5)^18 + 44301312*e^80*log(5)^17 + 188

280576*e^80*log(5)^16 + 669442048*e^80*log(5)^15 + 2008326144*e^80*log(5)^14 + 5112102912*e^80*log(5)^13 + 110

76222976*e^80*log(5)^12 + 20448411648*e^80*log(5)^11 + 32133218304*e^80*log(5)^10 + 42844291072*e^80*log(5)^9

+ 48199827456*e^80*log(5)^8 + 45364543488*e^80*log(5)^7 + 35283533824*e^80*log(5)^6 + 22284337152*e^80*log(5)^

5 + 11142168576*e^80*log(5)^4 + 4244635648*e^80*log(5)^3 + 1157627904*e^80*log(5)^2 + 201326592*e^80*log(5) +

16777216*e^80)*x^16 - 6*(e^80*log(5)^25 + 50*e^80*log(5)^24 + 1200*e^80*log(5)^23 + 18400*e^80*log(5)^22 + 202

400*e^80*log(5)^21 + 1700160*e^80*log(5)^20 + 11334400*e^80*log(5)^19 + 61529600*e^80*log(5)^18 + 276883200*e^

80*log(5)^17 + 1046003200*e^80*log(5)^16 + 3347210240*e^80*log(5)^15 + 9128755200*e^80*log(5)^14 + 21300428800

*e^80*log(5)^13 + 42600857600*e^80*log(5)^12 + 73030041600*e^80*log(5)^11 + 107110727680*e^80*log(5)^10 + 1338

88409600*e^80*log(5)^9 + 141764198400*e^80*log(5)^8 + 126012620800*e^80*log(5)^7 + 92851404800*e^80*log(5)^6 +

55710842880*e^80*log(5)^5 + 26528972800*e^80*log(5)^4 + 9646899200*e^80*log(5)^3 + 2516582400*e^80*log(5)^2 +

419430400*e^80*log(5) + 33554432*e^80)*x^15 + 6*(e^80*log(5)^26 + 52*e^80*log(5)^25 + 1300*e^80*log(5)^24 + 2

0800*e^80*log(5)^23 + 239200*e^80*log(5)^22 + 2104960*e^80*log(5)^21 + 14734720*e^80*log(5)^20 + 84198400*e^80

*log(5)^19 + 399942400*e^80*log(5)^18 + 1599769600*e^80*log(5)^17 + 5439216640*e^80*log(5)^16 + 15823175680*e^

80*log(5)^15 + 39557939200*e^80*log(5)^14 + 85201715200*e^80*log(5)^13 + 158231756800*e^80*log(5)^12 + 2531708

10880*e^80*log(5)^11 + 348109864960*e^80*log(5)^10 + 409541017600*e^80*log(5)^9 + 409541017600*e^80*log(5)^8 +

344876646400*e^80*log(5)^7 + 241413652480*e^80*log(5)^6 + 137950658560*e^80*log(5)^5 + 62704844800*e^80*log(5

)^4 + 21810380800*e^80*log(5)^3 + 5452595200*e^80*log(5)^2 + 872415232*e^80*log(5) + 67108864*e^80)*x^14 - 6*(

e^80*log(5)^27 + 54*e^80*log(5)^26 + 1404*e^80*log(5)^25 + 23400*e^80*log(5)^24 + 280800*e^80*log(5)^23 + 2583

360*e^80*log(5)^22 + 18944640*e^80*log(5)^21 + 113667840*e^80*log(5)^20 + 568339200*e^80*log(5)^19 + 239965440

0*e^80*log(5)^18 + 8638755840*e^80*log(5)^17 + 26701608960*e^80*log(5)^16 + 71204290560*e^80*log(5)^15 + 16431

7593600*e^80*log(5)^14 + 328635187200*e^80*log(5)^13 + 569634324480*e^80*log(5)^12 + 854451486720*e^80*log(5)^

11 + 1105760747520*e^80*log(5)^10 + 1228623052800*e^80*log(5)^9 + 1163958681600*e^80*log(5)^8 + 931166945280*e

^80*log(5)^7 + 620777963520*e^80*log(5)^6 + 338606161920*e^80*log(5)^5 + 147220070400*e^80*log(5)^4 + 49073356

800*e^80*log(5)^3 + 11777605632*e^80*log(5)^2 + 1811939328*e^80*log(5) + 134217728*e^80)*x^13 + 6*(e^80*log(5)

^28 + 56*e^80*log(5)^27 + 1512*e^80*log(5)^26 + 26208*e^80*log(5)^25 + 327600*e^80*log(5)^24 + 3144960*e^80*lo

g(5)^23 + 24111360*e^80*log(5)^22 + 151557120*e^80*log(5)^21 + 795674880*e^80*log(5)^20 + 3536332800*e^80*log(

5)^19 + 13438064640*e^80*log(5)^18 + 43979120640*e^80*log(5)^17 + 124607508480*e^80*log(5)^16 + 306726174720*e

^80*log(5)^15 + 657270374400*e^80*log(5)^14 + 1226904698880*e^80*log(5)^13 + 1993720135680*e^80*log(5)^12 + 28

14663720960*e^80*log(5)^11 + 3440144547840*e^80*log(5)^10 + 3621204787200*e^80*log(5)^9 + 3259084308480*e^80*l

og(5)^8 + 2483111854080*e^80*log(5)^7 + 1580162088960*e^80*log(5)^6 + 824432394240*e^80*log(5)^5 + 34351349760

0*e^80*log(5)^4 + 109924319232*e^80*log(5)^3 + 25367150592*e^80*log(5)^2 + 3758096384*e^80*log(5) + 268435456*

e^80)*x^12 - 6*(e^80*log(5)^29 + 58*e^80*log(5)^28 + 1624*e^80*log(5)^27 + 29232*e^80*log(5)^26 + 380016*e^80*

log(5)^25 + 3800160*e^80*log(5)^24 + 30401280*e^80*log(5)^23 + 199779840*e^80*log(5)^22 + 1098789120*e^80*log(

5)^21 + 5127682560*e^80*log(5)^20 + 20510730240*e^80*log(5)^19 + 70855249920*e^80*log(5)^18 + 212565749760*e^8

0*log(5)^17 + 555941191680*e^80*log(5)^16 + 1270722723840*e^80*log(5)^15 + 2541445447680*e^80*log(5)^14 + 4447

529533440*e^80*log(5)^13 + 6802103992320*e^80*log(5)^12 + 9069471989760*e^80*log(5)^11 + 10501493882880*e^80*l

og(5)^10 + 10501493882880*e^80*log(5)^9 + 9001280471040*e^80*log(5)^8 + 6546385797120*e^80*log(5)^7 + 39847565

72160*e^80*log(5)^6 + 1992378286080*e^80*log(5)^5 + 796951314432*e^80*log(5)^4 + 245215789056*e^80*log(5)^3 +

54492397568*e^80*log(5)^2 + 7784628224*e^80*log(5) + 536870912*e^80)*x^11 + 6*(e^80*log(5)^30 + 60*e^80*log(5)

^29 + 1740*e^80*log(5)^28 + 32480*e^80*log(5)^27 + 438480*e^80*log(5)^26 + 4560192*e^80*log(5)^25 + 38001600*e

^80*log(5)^24 + 260582400*e^80*log(5)^23 + 1498348800*e^80*log(5)^22 + 7325260800*e^80*log(5)^21 + 30766095360

*e^80*log(5)^20 + 111876710400*e^80*log(5)^19 + 354276249600*e^80*log(5)^18 + 981072691200*e^80*log(5)^17 + 23

82605107200*e^80*log(5)^16 + 5082890895360*e^80*log(5)^15 + 9530420428800*e^80*log(5)^14 + 15697163059200*e^80

*log(5)^13 + 22673679974400*e^80*log(5)^12 + 28640437862400*e^80*log(5)^11 + 31504481648640*e^80*log(5)^10 + 3

0004268236800*e^80*log(5)^9 + 24548946739200*e^80*log(5)^8 + 17077528166400*e^80*log(5)^7 + 9961891430400*e^80

*log(5)^6 + 4781707886592*e^80*log(5)^5 + 1839118417920*e^80*log(5)^4 + 544923975680*e^80*log(5)^3 + 116769423

360*e^80*log(5)^2 + 16106127360*e^80*log(5) + 1073741824*e^80)*x^10 - 6*(e^80*log(5)^31 + 62*e^80*log(5)^30 +

1860*e^80*log(5)^29 + 35960*e^80*log(5)^28 + 503440*e^80*log(5)^27 + 5437152*e^80*log(5)^26 + 47121984*e^80*lo

g(5)^25 + 336585600*e^80*log(5)^24 + 2019513600*e^80*log(5)^23 + 10321958400*e^80*log(5)^22 + 45416616960*e^80

*log(5)^21 + 173408901120*e^80*log(5)^20 + 578029670400*e^80*log(5)^19 + 1689625190400*e^80*log(5)^18 + 434475

0489600*e^80*log(5)^17 + 9848101109760*e^80*log(5)^16 + 19696202219520*e^80*log(5)^15 + 34758003916800*e^80*lo

g(5)^14 + 54068006092800*e^80*log(5)^13 + 73987797811200*e^80*log(5)^12 + 88785357373440*e^80*log(5)^11 + 9301

3231534080*e^80*log(5)^10 + 84557483212800*e^80*log(5)^9 + 66175421644800*e^80*log(5)^8 + 44116947763200*e^80*

log(5)^7 + 24705490747392*e^80*log(5)^6 + 11402534191104*e^80*log(5)^5 + 4223160811520*e^80*log(5)^4 + 1206617

374720*e^80*log(5)^3 + 249644974080*e^80*log(5)^2 + 33285996544*e^80*log(5) + 2147483648*e^80)*x^9 + 6*(e^80*l

og(5)^32 + 64*e^80*log(5)^31 + 1984*e^80*log(5)^30 + 39680*e^80*log(5)^29 + 575360*e^80*log(5)^28 + 6444032*e^

80*log(5)^27 + 57996288*e^80*log(5)^26 + 430829568*e^80*log(5)^25 + 2692684800*e^80*log(5)^24 + 14360985600*e^

80*log(5)^23 + 66060533760*e^80*log(5)^22 + 264242135040*e^80*log(5)^21 + 924847472640*e^80*log(5)^20 + 284568

4531200*e^80*log(5)^19 + 7724000870400*e^80*log(5)^18 + 18537602088960*e^80*log(5)^17 + 39392404439040*e^80*lo

g(5)^16 + 74150408355840*e^80*log(5)^15 + 123584013926400*e^80*log(5)^14 + 182123809996800*e^80*log(5)^13 + 23

6760952995840*e^80*log(5)^12 + 270583946280960*e^80*log(5)^11 + 270583946280960*e^80*log(5)^10 + 2352903880704

00*e^80*log(5)^9 + 176467791052800*e^80*log(5)^8 + 112939386273792*e^80*log(5)^7 + 60813515685888*e^80*log(5)^

6 + 27028229193728*e^80*log(5)^5 + 9652938997760*e^80*log(5)^4 + 2662879723520*e^80*log(5)^3 + 532575944704*e^

80*log(5)^2 + 68719476736*e^80*log(5) + 4294967296*e^80)*x^8 - 6*(e^80*log(5)^33 + 66*e^80*log(5)^32 + 2112*e^

80*log(5)^31 + 43648*e^80*log(5)^30 + 654720*e^80*log(5)^29 + 7594752*e^80*log(5)^28 + 70884352*e^80*log(5)^27

+ 546822144*e^80*log(5)^26 + 3554343936*e^80*log(5)^25 + 19746355200*e^80*log(5)^24 + 94782504960*e^80*log(5)

^23 + 396363202560*e^80*log(5)^22 + 1453331742720*e^80*log(5)^21 + 4695379476480*e^80*log(5)^20 + 134153699328

00*e^80*log(5)^19 + 33985603829760*e^80*log(5)^18 + 76467608616960*e^80*log(5)^17 + 152935217233920*e^80*log(5

)^16 + 271884830638080*e^80*log(5)^15 + 429291837849600*e^80*log(5)^14 + 601008572989440*e^80*log(5)^13 + 7441

05852272640*e^80*log(5)^12 + 811751838842880*e^80*log(5)^11 + 776458280632320*e^80*log(5)^10 + 647048567193600

*e^80*log(5)^9 + 465874968379392*e^80*log(5)^8 + 286692288233472*e^80*log(5)^7 + 148655260565504*e^80*log(5)^6

+ 63709397385216*e^80*log(5)^5 + 21968757719040*e^80*log(5)^4 + 5858335391744*e^80*log(5)^3 + 1133871366144*e

^80*log(5)^2 + 141733920768*e^80*log(5) + 8589934592*e^80)*x^7 + 6*(e^80*log(5)^34 + 68*e^80*log(5)^33 + 2244*

e^80*log(5)^32 + 47872*e^80*log(5)^31 + 742016*e^80*log(5)^30 + 8904192*e^80*log(5)^29 + 86073856*e^80*log(5)^

28 + 688590848*e^80*log(5)^27 + 4647988224*e^80*log(5)^26 + 26855043072*e^80*log(5)^25 + 134275215360*e^80*log

(5)^24 + 585928212480*e^80*log(5)^23 + 2246058147840*e^80*log(5)^22 + 7602042961920*e^80*log(5)^21 + 228061288

85760*e^80*log(5)^20 + 60816343695360*e^80*log(5)^19 + 144438816276480*e^80*log(5)^18 + 305870434467840*e^80*l

og(5)^17 + 577755265105920*e^80*log(5)^16 + 973061499125760*e^80*log(5)^15 + 1459592248688640*e^80*log(5)^14 +

1946122998251520*e^80*log(5)^13 + 2299963543388160*e^80*log(5)^12 + 2399961958318080*e^80*log(5)^11 + 2199965

128458240*e^80*log(5)^10 + 1759972102766592*e^80*log(5)^9 + 1218442224992256*e^80*log(5)^8 + 722039837032448*e

^80*log(5)^7 + 361019918516224*e^80*log(5)^6 + 149387552489472*e^80*log(5)^5 + 49795850829824*e^80*log(5)^4 +

12850542149632*e^80*log(5)^3 + 2409476653056*e^80*log(5)^2 + 292057776128*e^80*log(5) + 17179869184*e^80)*x^6

- 6*(e^80*log(5)^35 + 70*e^80*log(5)^34 + 2380*e^80*log(5)^33 + 52360*e^80*log(5)^32 + 837760*e^80*log(5)^31 +

10388224*e^80*log(5)^30 + 103882240*e^80*log(5)^29 + 860738560*e^80*log(5)^28 + 6025169920*e^80*log(5)^27 + 3

6151019520*e^80*log(5)^26 + 187985301504*e^80*log(5)^25 + 854478643200*e^80*log(5)^24 + 3417914572800*e^80*log

(5)^23 + 12094159257600*e^80*log(5)^22 + 38010214809600*e^80*log(5)^21 + 106428601466880*e^80*log(5)^20 + 2660

71503667200*e^80*log(5)^19 + 594748067020800*e^80*log(5)^18 + 1189496134041600*e^80*log(5)^17 + 21285720293376

00*e^80*log(5)^16 + 3405715246940160*e^80*log(5)^15 + 4865307495628800*e^80*log(5)^14 + 6192209539891200*e^80*

log(5)^13 + 6999889045094400*e^80*log(5)^12 + 6999889045094400*e^80*log(5)^11 + 6159902359683072*e^80*log(5)^1

0 + 4738386430525440*e^80*log(5)^9 + 3158924287016960*e^80*log(5)^8 + 1805099592581120*e^80*log(5)^7 + 8714273

89521920*e^80*log(5)^6 + 348570955808768*e^80*log(5)^5 + 112442243809280*e^80*log(5)^4 + 28110560952320*e^80*l

og(5)^3 + 5111011082240*e^80*log(5)^2 + 601295421440*e^80*log(5) + 34359738368*e^80)*x^5 + 6*(e^80*log(5)^36 +

72*e^80*log(5)^35 + 2520*e^80*log(5)^34 + 57120*e^80*log(5)^33 + 942480*e^80*log(5)^32 + 12063744*e^80*log(5)

^31 + 124658688*e^80*log(5)^30 + 1068503040*e^80*log(5)^29 + 7746647040*e^80*log(5)^28 + 48201359360*e^80*log(

5)^27 + 260287340544*e^80*log(5)^26 + 1230449246208*e^80*log(5)^25 + 5126871859200*e^80*log(5)^24 + 1892998840

3200*e^80*log(5)^23 + 62198533324800*e^80*log(5)^22 + 182449031086080*e^80*log(5)^21 + 478928706600960*e^80*lo

g(5)^20 + 1126891074355200*e^80*log(5)^19 + 2378992268083200*e^80*log(5)^18 + 4507564297420800*e^80*log(5)^17

+ 7662859305615360*e^80*log(5)^16 + 11676737989509120*e^80*log(5)^15 + 15922824531148800*e^80*log(5)^14 + 1938

4308124876800*e^80*log(5)^13 + 20999667135283200*e^80*log(5)^12 + 20159680449871872*e^80*log(5)^11 + 170581911

49891584*e^80*log(5)^10 + 12635697148067840*e^80*log(5)^9 + 8122948166615040*e^80*log(5)^8 + 4481626574684160*

e^80*log(5)^7 + 2091425734852608*e^80*log(5)^6 + 809584155426816*e^80*log(5)^5 + 252995048570880*e^80*log(5)^4

+ 61332132986880*e^80*log(5)^3 + 10823317585920*e^80*log(5)^2 + 1236950581248*e^80*log(5) + 68719476736*e^80)

*x^4 - 6*(e^80*log(5)^37 + 74*e^80*log(5)^36 + 2664*e^80*log(5)^35 + 62160*e^80*log(5)^34 + 1056720*e^80*log(5

)^33 + 13948704*e^80*log(5)^32 + 148786176*e^80*log(5)^31 + 1317820416*e^80*log(5)^30 + 9883653120*e^80*log(5)

^29 + 63694653440*e^80*log(5)^28 + 356690059264*e^80*log(5)^27 + 1751023927296*e^80*log(5)^26 + 7587770351616*

e^80*log(5)^25 + 29183732121600*e^80*log(5)^24 + 100058510131200*e^80*log(5)^23 + 306846097735680*e^80*log(5)^

22 + 843826768773120*e^80*log(5)^21 + 2084748487557120*e^80*log(5)^20 + 4632774416793600*e^80*log(5)^19 + 9265

548833587200*e^80*log(5)^18 + 16677987900456960*e^80*log(5)^17 + 27002456600739840*e^80*log(5)^16 + 3927630051

0167040*e^80*log(5)^15 + 51229957187174400*e^80*log(5)^14 + 59768283385036800*e^80*log(5)^13 + 621590147204382

72*e^80*log(5)^12 + 57377552049635328*e^80*log(5)^11 + 46752079447851008*e^80*log(5)^10 + 33394342462750720*e^

80*log(5)^9 + 20727522907914240*e^80*log(5)^8 + 11054678884220928*e^80*log(5)^7 + 4992435625132032*e^80*log(5)

^6 + 1872163359424512*e^80*log(5)^5 + 567322230128640*e^80*log(5)^4 + 133487583559680*e^80*log(5)^3 + 22883585

753088*e^80*log(5)^2 + 2542620639232*e^80*log(5) + 137438953472*e^80)*x^3 + 6*(e^80*log(5)^38 + 76*e^80*log(5)

^37 + 2812*e^80*log(5)^36 + 67488*e^80*log(5)^35 + 1181040*e^80*log(5)^34 + 16062144*e^80*log(5)^33 + 17668358

4*e^80*log(5)^32 + 1615392768*e^80*log(5)^31 + 12519293952*e^80*log(5)^30 + 83461959680*e^80*log(5)^29 + 48407

9366144*e^80*log(5)^28 + 2464404045824*e^80*log(5)^27 + 11089818206208*e^80*log(5)^26 + 44359272824832*e^80*lo

g(5)^25 + 158425974374400*e^80*log(5)^24 + 506963117998080*e^80*log(5)^23 + 1457518964244480*e^80*log(5)^22 +

3772402025103360*e^80*log(5)^21 + 8802271391907840*e^80*log(5)^20 + 18531097667174400*e^80*log(5)^19 + 3520908

5567631360*e^80*log(5)^18 + 60358432401653760*e^80*log(5)^17 + 93281213711646720*e^80*log(5)^16 + 129782558207

508480*e^80*log(5)^15 + 162228197759385600*e^80*log(5)^14 + 181695581490511872*e^80*log(5)^13 + 18169558149051

1872*e^80*log(5)^12 + 161507183547121664*e^80*log(5)^11 + 126898501358452736*e^80*log(5)^10 + 8751620783341568

0*e^80*log(5)^9 + 52509724700049408*e^80*log(5)^8 + 27101793393573888*e^80*log(5)^7 + 11857034609688576*e^80*l

og(5)^6 + 4311648948977664*e^80*log(5)^5 + 1268132043816960*e^80*log(5)^4 + 289858752872448*e^80*log(5)^3 + 48

309792145408*e^80*log(5)^2 + 5222680231936*e^80*log(5) + 274877906944*e^80 - 1)*x^2 - 6*(e^80*log(5)^39 + 78*e

^80*log(5)^38 + 2964*e^80*log(5)^37 + 73112*e^80*log(5)^36 + 1316016*e^80*log(5)^35 + 18424224*e^80*log(5)^34

+ 208807872*e^80*log(5)^33 + 1968759936*e^80*log(5)^32 + 15750079488*e^80*log(5)^31 + 108500547584*e^80*log(5)

^30 + 651003285504*e^80*log(5)^29 + 3432562778112*e^80*log(5)^28 + 16018626297856*e^80*log(5)^27 + 66538909237

248*e^80*log(5)^26 + 247144520024064*e^80*log(5)^25 + 823815066746880*e^80*log(5)^24 + 2471445200240640*e^80*l

og(5)^23 + 6687439953592320*e^80*log(5)^22 + 16347075442114560*e^80*log(5)^21 + 36135640450990080*e^80*log(5)^

20 + 72271280901980160*e^80*log(5)^19 + 130776603536916480*e^80*log(5)^18 + 213998078514954240*e^80*log(5)^17

+ 316344985630801920*e^80*log(5)^16 + 421793314174402560*e^80*log(5)^15 + 506151977009283072*e^80*log(5)^14 +

545086744471535616*e^80*log(5)^13 + 524898346528145408*e^80*log(5)^12 + 449912868452696064*e^80*log(5)^11 + 34

1313210550321152*e^80*log(5)^10 + 227542140366880768*e^80*log(5)^9 + 132121242793672704*e^80*log(5)^8 + 660606

21396836352*e^80*log(5)^7 + 28025718168354816*e^80*log(5)^6 + 9891429941772288*e^80*log(5)^5 + 282612284050636

8*e^80*log(5)^4 + 628027297890304*e^80*log(5)^3 + 101842264522752*e^80*log(5)^2 + (10720238370816*e^80 - 1)*lo

g(5) + 549755813888*e^80 - 2)*x - 6*(e^80*log(5)^41 + 82*e^80*log(5)^40 + 3280*e^80*log(5)^39 + 85280*e^80*log

(5)^38 + 1620320*e^80*log(5)^37 + 23980736*e^80*log(5)^36 + 287768832*e^80*log(5)^35 + 2877688320*e^80*log(5)^

34 + 24460350720*e^80*log(5)^33 + 179375905280*e^80*log(5)^32 + 1148005793792*e^80*log(5)^31 + 6470578110464*e

^80*log(5)^30 + 32352890552320*e^80*log(5)^29 + 144343665541120*e^80*log(5)^28 + 577374662164480*e^80*log(5)^2

7 + 2078548783792128*e^80*log(5)^26 + 6755283547324416*e^80*log(5)^25 + 19868481021542400*e^80*log(5)^24 + 529

82616057446400*e^80*log(5)^23 + 128273702033817600*e^80*log(5)^22 + 282202144474398720*e^80*log(5)^21 + 564404

288948797440*e^80*log(5)^20 + 1026189616270540800*e^80*log(5)^19 + 1695443713838284800*e^80*log(5)^18 + 254316

5570757427200*e^80*log(5)^17 + 3458705176230100992*e^80*log(5)^16 + 4256867909206278144*e^80*log(5)^15 + 47298

53232451420160*e^80*log(5)^14 + 4729853232451420160*e^80*log(5)^13 + 4240558070473687040*e^80*log(5)^12 + 3392

446456378949632*e^80*log(5)^11 + 2407542646462480384*e^80*log(5)^10 + 1504714154039050240*e^80*log(5)^9 + 8207

53174930391040*e^80*log(5)^8 + 386236788202536960*e^80*log(5)^7 + 154494715281014784*e^80*log(5)^6 + 514982384

27004928*e^80*log(5)^5 + 13918442818109440*e^80*log(5)^4 + (2930198488023040*e^80 - 1)*log(5)^3 + 2*(225399883

694080*e^80 - 3)*log(5)^2 + 4*(11269994184704*e^80 - 3)*log(5) + 2199023255552*e^80 - 8)/(x + log(5) + 2)

Giac [B] (veriﬁcation not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 9072 vs. \(2 (23) = 46\).

Time = 0.30 (sec) , antiderivative size = 9072, normalized size of antiderivative = 378.00 \[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx=\text {Too large to display} \]

integrate(((246*log(5)+240*x+492)*exp(40*log(x)+80)-18*x^2*log(5)-12*x^3-36*x^2)/(log(5)^2+(4+2*x)*log(5)+x^2+

6*x^40*e^80 - 6*x^39*e^80*log(5) + 6*x^38*e^80*log(5)^2 - 6*x^37*e^80*log(5)^3 + 6*x^36*e^80*log(5)^4 - 6*x^35

*e^80*log(5)^5 + 6*x^34*e^80*log(5)^6 - 6*x^33*e^80*log(5)^7 + 6*x^32*e^80*log(5)^8 - 6*x^31*e^80*log(5)^9 + 6

*x^30*e^80*log(5)^10 - 6*x^29*e^80*log(5)^11 + 6*x^28*e^80*log(5)^12 - 6*x^27*e^80*log(5)^13 + 6*x^26*e^80*log

(5)^14 - 6*x^25*e^80*log(5)^15 + 6*x^24*e^80*log(5)^16 - 6*x^23*e^80*log(5)^17 + 6*x^22*e^80*log(5)^18 - 6*x^2

1*e^80*log(5)^19 + 6*x^20*e^80*log(5)^20 - 6*x^19*e^80*log(5)^21 + 6*x^18*e^80*log(5)^22 - 6*x^17*e^80*log(5)^

23 + 6*x^16*e^80*log(5)^24 - 6*x^15*e^80*log(5)^25 + 6*x^14*e^80*log(5)^26 - 6*x^13*e^80*log(5)^27 + 6*x^12*e^

80*log(5)^28 - 6*x^11*e^80*log(5)^29 + 6*x^10*e^80*log(5)^30 - 6*x^9*e^80*log(5)^31 + 6*x^8*e^80*log(5)^32 - 6

*x^7*e^80*log(5)^33 + 6*x^6*e^80*log(5)^34 - 6*x^5*e^80*log(5)^35 + 6*x^4*e^80*log(5)^36 - 6*x^3*e^80*log(5)^3

7 + 6*x^2*e^80*log(5)^38 - 6*x*e^80*log(5)^39 - 12*x^39*e^80 + 24*x^38*e^80*log(5) - 36*x^37*e^80*log(5)^2 + 4

8*x^36*e^80*log(5)^3 - 60*x^35*e^80*log(5)^4 + 72*x^34*e^80*log(5)^5 - 84*x^33*e^80*log(5)^6 + 96*x^32*e^80*lo

g(5)^7 - 108*x^31*e^80*log(5)^8 + 120*x^30*e^80*log(5)^9 - 132*x^29*e^80*log(5)^10 + 144*x^28*e^80*log(5)^11 -

156*x^27*e^80*log(5)^12 + 168*x^26*e^80*log(5)^13 - 180*x^25*e^80*log(5)^14 + 192*x^24*e^80*log(5)^15 - 204*x

^23*e^80*log(5)^16 + 216*x^22*e^80*log(5)^17 - 228*x^21*e^80*log(5)^18 + 240*x^20*e^80*log(5)^19 - 252*x^19*e^

80*log(5)^20 + 264*x^18*e^80*log(5)^21 - 276*x^17*e^80*log(5)^22 + 288*x^16*e^80*log(5)^23 - 300*x^15*e^80*log

(5)^24 + 312*x^14*e^80*log(5)^25 - 324*x^13*e^80*log(5)^26 + 336*x^12*e^80*log(5)^27 - 348*x^11*e^80*log(5)^28

+ 360*x^10*e^80*log(5)^29 - 372*x^9*e^80*log(5)^30 + 384*x^8*e^80*log(5)^31 - 396*x^7*e^80*log(5)^32 + 408*x^

6*e^80*log(5)^33 - 420*x^5*e^80*log(5)^34 + 432*x^4*e^80*log(5)^35 - 444*x^3*e^80*log(5)^36 + 456*x^2*e^80*log

(5)^37 - 468*x*e^80*log(5)^38 + 24*x^38*e^80 - 72*x^37*e^80*log(5) + 144*x^36*e^80*log(5)^2 - 240*x^35*e^80*lo

g(5)^3 + 360*x^34*e^80*log(5)^4 - 504*x^33*e^80*log(5)^5 + 672*x^32*e^80*log(5)^6 - 864*x^31*e^80*log(5)^7 + 1

080*x^30*e^80*log(5)^8 - 1320*x^29*e^80*log(5)^9 + 1584*x^28*e^80*log(5)^10 - 1872*x^27*e^80*log(5)^11 + 2184*

x^26*e^80*log(5)^12 - 2520*x^25*e^80*log(5)^13 + 2880*x^24*e^80*log(5)^14 - 3264*x^23*e^80*log(5)^15 + 3672*x^

22*e^80*log(5)^16 - 4104*x^21*e^80*log(5)^17 + 4560*x^20*e^80*log(5)^18 - 5040*x^19*e^80*log(5)^19 + 5544*x^18

*e^80*log(5)^20 - 6072*x^17*e^80*log(5)^21 + 6624*x^16*e^80*log(5)^22 - 7200*x^15*e^80*log(5)^23 + 7800*x^14*e

^80*log(5)^24 - 8424*x^13*e^80*log(5)^25 + 9072*x^12*e^80*log(5)^26 - 9744*x^11*e^80*log(5)^27 + 10440*x^10*e^

80*log(5)^28 - 11160*x^9*e^80*log(5)^29 + 11904*x^8*e^80*log(5)^30 - 12672*x^7*e^80*log(5)^31 + 13464*x^6*e^80

*log(5)^32 - 14280*x^5*e^80*log(5)^33 + 15120*x^4*e^80*log(5)^34 - 15984*x^3*e^80*log(5)^35 + 16872*x^2*e^80*l

og(5)^36 - 17784*x*e^80*log(5)^37 - 48*x^37*e^80 + 192*x^36*e^80*log(5) - 480*x^35*e^80*log(5)^2 + 960*x^34*e^

80*log(5)^3 - 1680*x^33*e^80*log(5)^4 + 2688*x^32*e^80*log(5)^5 - 4032*x^31*e^80*log(5)^6 + 5760*x^30*e^80*log

(5)^7 - 7920*x^29*e^80*log(5)^8 + 10560*x^28*e^80*log(5)^9 - 13728*x^27*e^80*log(5)^10 + 17472*x^26*e^80*log(5

)^11 - 21840*x^25*e^80*log(5)^12 + 26880*x^24*e^80*log(5)^13 - 32640*x^23*e^80*log(5)^14 + 39168*x^22*e^80*log

(5)^15 - 46512*x^21*e^80*log(5)^16 + 54720*x^20*e^80*log(5)^17 - 63840*x^19*e^80*log(5)^18 + 73920*x^18*e^80*l

og(5)^19 - 85008*x^17*e^80*log(5)^20 + 97152*x^16*e^80*log(5)^21 - 110400*x^15*e^80*log(5)^22 + 124800*x^14*e^

80*log(5)^23 - 140400*x^13*e^80*log(5)^24 + 157248*x^12*e^80*log(5)^25 - 175392*x^11*e^80*log(5)^26 + 194880*x

^10*e^80*log(5)^27 - 215760*x^9*e^80*log(5)^28 + 238080*x^8*e^80*log(5)^29 - 261888*x^7*e^80*log(5)^30 + 28723

2*x^6*e^80*log(5)^31 - 314160*x^5*e^80*log(5)^32 + 342720*x^4*e^80*log(5)^33 - 372960*x^3*e^80*log(5)^34 + 404

928*x^2*e^80*log(5)^35 - 438672*x*e^80*log(5)^36 + 96*x^36*e^80 - 480*x^35*e^80*log(5) + 1440*x^34*e^80*log(5)

^2 - 3360*x^33*e^80*log(5)^3 + 6720*x^32*e^80*log(5)^4 - 12096*x^31*e^80*log(5)^5 + 20160*x^30*e^80*log(5)^6 -

31680*x^29*e^80*log(5)^7 + 47520*x^28*e^80*log(5)^8 - 68640*x^27*e^80*log(5)^9 + 96096*x^26*e^80*log(5)^10 -

131040*x^25*e^80*log(5)^11 + 174720*x^24*e^80*log(5)^12 - 228480*x^23*e^80*log(5)^13 + 293760*x^22*e^80*log(5)

^14 - 372096*x^21*e^80*log(5)^15 + 465120*x^20*e^80*log(5)^16 - 574560*x^19*e^80*log(5)^17 + 702240*x^18*e^80*

log(5)^18 - 850080*x^17*e^80*log(5)^19 + 1020096*x^16*e^80*log(5)^20 - 1214400*x^15*e^80*log(5)^21 + 1435200*x

^14*e^80*log(5)^22 - 1684800*x^13*e^80*log(5)^23 + 1965600*x^12*e^80*log(5)^24 - 2280096*x^11*e^80*log(5)^25 +

2630880*x^10*e^80*log(5)^26 - 3020640*x^9*e^80*log(5)^27 + 3452160*x^8*e^80*log(5)^28 - 3928320*x^7*e^80*log(

5)^29 + 4452096*x^6*e^80*log(5)^30 - 5026560*x^5*e^80*log(5)^31 + 5654880*x^4*e^80*log(5)^32 - 6340320*x^3*e^8

0*log(5)^33 + 7086240*x^2*e^80*log(5)^34 - 7896096*x*e^80*log(5)^35 - 192*x^35*e^80 + 1152*x^34*e^80*log(5) -

4032*x^33*e^80*log(5)^2 + 10752*x^32*e^80*log(5)^3 - 24192*x^31*e^80*log(5)^4 + 48384*x^30*e^80*log(5)^5 - 887

04*x^29*e^80*log(5)^6 + 152064*x^28*e^80*log(5)^7 - 247104*x^27*e^80*log(5)^8 + 384384*x^26*e^80*log(5)^9 - 57

6576*x^25*e^80*log(5)^10 + 838656*x^24*e^80*log(5)^11 - 1188096*x^23*e^80*log(5)^12 + 1645056*x^22*e^80*log(5)

^13 - 2232576*x^21*e^80*log(5)^14 + 2976768*x^20*e^80*log(5)^15 - 3907008*x^19*e^80*log(5)^16 + 5056128*x^18*e

^80*log(5)^17 - 6460608*x^17*e^80*log(5)^18 + 8160768*x^16*e^80*log(5)^19 - 10200960*x^15*e^80*log(5)^20 + 126

29760*x^14*e^80*log(5)^21 - 15500160*x^13*e^80*log(5)^22 + 18869760*x^12*e^80*log(5)^23 - 22800960*x^11*e^80*l

og(5)^24 + 27361152*x^10*e^80*log(5)^25 - 32622912*x^9*e^80*log(5)^26 + 38664192*x^8*e^80*log(5)^27 - 45568512

*x^7*e^80*log(5)^28 + 53425152*x^6*e^80*log(5)^29 - 62329344*x^5*e^80*log(5)^30 + 72382464*x^4*e^80*log(5)^31

- 83692224*x^3*e^80*log(5)^32 + 96372864*x^2*e^80*log(5)^33 - 110545344*x*e^80*log(5)^34 + 384*x^34*e^80 - 268

8*x^33*e^80*log(5) + 10752*x^32*e^80*log(5)^2 - 32256*x^31*e^80*log(5)^3 + 80640*x^30*e^80*log(5)^4 - 177408*x

^29*e^80*log(5)^5 + 354816*x^28*e^80*log(5)^6 - 658944*x^27*e^80*log(5)^7 + 1153152*x^26*e^80*log(5)^8 - 19219

20*x^25*e^80*log(5)^9 + 3075072*x^24*e^80*log(5)^10 - 4752384*x^23*e^80*log(5)^11 + 7128576*x^22*e^80*log(5)^1

2 - 10418688*x^21*e^80*log(5)^13 + 14883840*x^20*e^80*log(5)^14 - 20837376*x^19*e^80*log(5)^15 + 28651392*x^18

*e^80*log(5)^16 - 38763648*x^17*e^80*log(5)^17 + 51684864*x^16*e^80*log(5)^18 - 68006400*x^15*e^80*log(5)^19 +

88408320*x^14*e^80*log(5)^20 - 113667840*x^13*e^80*log(5)^21 + 144668160*x^12*e^80*log(5)^22 - 182407680*x^11

*e^80*log(5)^23 + 228009600*x^10*e^80*log(5)^24 - 282731904*x^9*e^80*log(5)^25 + 347977728*x^8*e^80*log(5)^26

- 425306112*x^7*e^80*log(5)^27 + 516443136*x^6*e^80*log(5)^28 - 623293440*x^5*e^80*log(5)^29 + 747952128*x^4*e

^80*log(5)^30 - 892717056*x^3*e^80*log(5)^31 + 1060101504*x^2*e^80*log(5)^32 - 1252847232*x*e^80*log(5)^33 - 7

68*x^33*e^80 + 6144*x^32*e^80*log(5) - 27648*x^31*e^80*log(5)^2 + 92160*x^30*e^80*log(5)^3 - 253440*x^29*e^80*

log(5)^4 + 608256*x^28*e^80*log(5)^5 - 1317888*x^27*e^80*log(5)^6 + 2635776*x^26*e^80*log(5)^7 - 4942080*x^25*

e^80*log(5)^8 + 8785920*x^24*e^80*log(5)^9 - 14936064*x^23*e^80*log(5)^10 + 24440832*x^22*e^80*log(5)^11 - 386

97984*x^21*e^80*log(5)^12 + 59535360*x^20*e^80*log(5)^13 - 89303040*x^19*e^80*log(5)^14 + 130977792*x^18*e^80*

log(5)^15 - 188280576*x^17*e^80*log(5)^16 + 265807872*x^16*e^80*log(5)^17 - 369177600*x^15*e^80*log(5)^18 + 50

5190400*x^14*e^80*log(5)^19 - 682007040*x^13*e^80*log(5)^20 + 909342720*x^12*e^80*log(5)^21 - 1198679040*x^11*

e^80*log(5)^22 + 1563494400*x^10*e^80*log(5)^23 - 2019513600*x^9*e^80*log(5)^24 + 2584977408*x^8*e^80*log(5)^2

5 - 3280932864*x^7*e^80*log(5)^26 + 4131545088*x^6*e^80*log(5)^27 - 5164431360*x^5*e^80*log(5)^28 + 6411018240

*x^4*e^80*log(5)^29 - 7906922496*x^3*e^80*log(5)^30 + 9692356608*x^2*e^80*log(5)^31 - 11812559616*x*e^80*log(5

)^32 + 1536*x^32*e^80 - 13824*x^31*e^80*log(5) + 69120*x^30*e^80*log(5)^2 - 253440*x^29*e^80*log(5)^3 + 760320

*x^28*e^80*log(5)^4 - 1976832*x^27*e^80*log(5)^5 + 4612608*x^26*e^80*log(5)^6 - 9884160*x^25*e^80*log(5)^7 + 1

9768320*x^24*e^80*log(5)^8 - 37340160*x^23*e^80*log(5)^9 + 67212288*x^22*e^80*log(5)^10 - 116093952*x^21*e^80*

log(5)^11 + 193489920*x^20*e^80*log(5)^12 - 312560640*x^19*e^80*log(5)^13 + 491166720*x^18*e^80*log(5)^14 - 75

3122304*x^17*e^80*log(5)^15 + 1129683456*x^16*e^80*log(5)^16 - 1661299200*x^15*e^80*log(5)^17 + 2399654400*x^1

4*e^80*log(5)^18 - 3410035200*x^13*e^80*log(5)^19 + 4774049280*x^12*e^80*log(5)^20 - 6592734720*x^11*e^80*log(

5)^21 + 8990092800*x^10*e^80*log(5)^22 - 12117081600*x^9*e^80*log(5)^23 + 16156108800*x^8*e^80*log(5)^24 - 213

26063616*x^7*e^80*log(5)^25 + 27887929344*x^6*e^80*log(5)^26 - 36151019520*x^5*e^80*log(5)^27 + 46479882240*x^

4*e^80*log(5)^28 - 59301918720*x^3*e^80*log(5)^29 + 75115763712*x^2*e^80*log(5)^30 - 94500476928*x*e^80*log(5)

^31 - 3072*x^31*e^80 + 30720*x^30*e^80*log(5) - 168960*x^29*e^80*log(5)^2 + 675840*x^28*e^80*log(5)^3 - 219648

0*x^27*e^80*log(5)^4 + 6150144*x^26*e^80*log(5)^5 - 15375360*x^25*e^80*log(5)^6 + 35143680*x^24*e^80*log(5)^7

- 74680320*x^23*e^80*log(5)^8 + 149360640*x^22*e^80*log(5)^9 - 283785216*x^21*e^80*log(5)^10 + 515973120*x^20*

e^80*log(5)^11 - 902952960*x^19*e^80*log(5)^12 + 1528074240*x^18*e^80*log(5)^13 - 2510407680*x^17*e^80*log(5)^

14 + 4016652288*x^16*e^80*log(5)^15 - 6276019200*x^15*e^80*log(5)^16 + 9598617600*x^14*e^80*log(5)^17 - 143979

26400*x^13*e^80*log(5)^18 + 21217996800*x^12*e^80*log(5)^19 - 30766095360*x^11*e^80*log(5)^20 + 43951564800*x^

10*e^80*log(5)^21 - 61931750400*x^9*e^80*log(5)^22 + 86165913600*x^8*e^80*log(5)^23 - 118478131200*x^7*e^80*lo

g(5)^24 + 161130258432*x^6*e^80*log(5)^25 - 216906117120*x^5*e^80*log(5)^26 + 289208156160*x^4*e^80*log(5)^27

- 382167920640*x^3*e^80*log(5)^28 + 500771758080*x^2*e^80*log(5)^29 - 651003285504*x*e^80*log(5)^30 + 6144*x^3

0*e^80 - 67584*x^29*e^80*log(5) + 405504*x^28*e^80*log(5)^2 - 1757184*x^27*e^80*log(5)^3 + 6150144*x^26*e^80*l

og(5)^4 - 18450432*x^25*e^80*log(5)^5 + 49201152*x^24*e^80*log(5)^6 - 119488512*x^23*e^80*log(5)^7 + 268849152

*x^22*e^80*log(5)^8 - 567570432*x^21*e^80*log(5)^9 + 1135140864*x^20*e^80*log(5)^10 - 2167087104*x^19*e^80*log

(5)^11 + 3972993024*x^18*e^80*log(5)^12 - 7029141504*x^17*e^80*log(5)^13 + 12049956864*x^16*e^80*log(5)^14 - 2

0083261440*x^15*e^80*log(5)^15 + 32635299840*x^14*e^80*log(5)^16 - 51832535040*x^13*e^80*log(5)^17 + 806283878

40*x^12*e^80*log(5)^18 - 123064381440*x^11*e^80*log(5)^19 + 184596572160*x^10*e^80*log(5)^20 - 272499701760*x^

9*e^80*log(5)^21 + 396363202560*x^8*e^80*log(5)^22 - 568695029760*x^7*e^80*log(5)^23 + 805651292160*x^6*e^80*l

og(5)^24 - 1127911809024*x^5*e^80*log(5)^25 + 1561724043264*x^4*e^80*log(5)^26 - 2140140355584*x^3*e^80*log(5)

^27 + 2904476196864*x^2*e^80*log(5)^28 - 3906019713024*x*e^80*log(5)^29 - 12288*x^29*e^80 + 147456*x^28*e^80*l

og(5) - 958464*x^27*e^80*log(5)^2 + 4472832*x^26*e^80*log(5)^3 - 16773120*x^25*e^80*log(5)^4 + 53673984*x^24*e

^80*log(5)^5 - 152076288*x^23*e^80*log(5)^6 + 391053312*x^22*e^80*log(5)^7 - 928751616*x^21*e^80*log(5)^8 + 20

63892480*x^20*e^80*log(5)^9 - 4334174208*x^19*e^80*log(5)^10 + 8668348416*x^18*e^80*log(5)^11 - 16614334464*x^

17*e^80*log(5)^12 + 30672617472*x^16*e^80*log(5)^13 - 54772531200*x^15*e^80*log(5)^14 + 94939054080*x^14*e^80*

log(5)^15 - 160209653760*x^13*e^80*log(5)^16 + 263874723840*x^12*e^80*log(5)^17 - 425131499520*x^11*e^80*log(5

)^18 + 671260262400*x^10*e^80*log(5)^19 - 1040453406720*x^9*e^80*log(5)^20 + 1585452810240*x^8*e^80*log(5)^21

- 2378179215360*x^7*e^80*log(5)^22 + 3515569274880*x^6*e^80*log(5)^23 - 5126871859200*x^5*e^80*log(5)^24 + 738

2695477248*x^4*e^80*log(5)^25 - 10506143563776*x^3*e^80*log(5)^26 + 14786424274944*x^2*e^80*log(5)^27 - 205953

76668672*x*e^80*log(5)^28 + 24576*x^28*e^80 - 319488*x^27*e^80*log(5) + 2236416*x^26*e^80*log(5)^2 - 11182080*

x^25*e^80*log(5)^3 + 44728320*x^24*e^80*log(5)^4 - 152076288*x^23*e^80*log(5)^5 + 456228864*x^22*e^80*log(5)^6

- 1238335488*x^21*e^80*log(5)^7 + 3095838720*x^20*e^80*log(5)^8 - 7223623680*x^19*e^80*log(5)^9 + 15891972096

*x^18*e^80*log(5)^10 - 33228668928*x^17*e^80*log(5)^11 + 66457337856*x^16*e^80*log(5)^12 - 127802572800*x^15*e

^80*log(5)^13 + 237347635200*x^14*e^80*log(5)^14 - 427225743360*x^13*e^80*log(5)^15 + 747645050880*x^12*e^80*l

og(5)^16 - 1275394498560*x^11*e^80*log(5)^17 + 2125657497600*x^10*e^80*log(5)^18 - 3468178022400*x^9*e^80*log(

5)^19 + 5549084835840*x^8*e^80*log(5)^20 - 8719990456320*x^7*e^80*log(5)^21 + 13476348887040*x^6*e^80*log(5)^2

2 - 20507487436800*x^5*e^80*log(5)^23 + 30761231155200*x^4*e^80*log(5)^24 - 45526622109696*x^3*e^80*log(5)^25

+ 66538909237248*x^2*e^80*log(5)^26 - 96111757787136*x*e^80*log(5)^27 - 49152*x^27*e^80 + 688128*x^26*e^80*log

(5) - 5160960*x^25*e^80*log(5)^2 + 27525120*x^24*e^80*log(5)^3 - 116981760*x^23*e^80*log(5)^4 + 421134336*x^22

*e^80*log(5)^5 - 1333592064*x^21*e^80*log(5)^6 + 3810263040*x^20*e^80*log(5)^7 - 10001940480*x^19*e^80*log(5)^

8 + 24449187840*x^18*e^80*log(5)^9 - 56233132032*x^17*e^80*log(5)^10 + 122690469888*x^16*e^80*log(5)^11 - 2556

05145600*x^15*e^80*log(5)^12 + 511210291200*x^14*e^80*log(5)^13 - 985905561600*x^13*e^80*log(5)^14 + 184035704

8320*x^12*e^80*log(5)^15 - 3335647150080*x^11*e^80*log(5)^16 + 5886436147200*x^10*e^80*log(5)^17 - 10137751142

400*x^9*e^80*log(5)^18 + 17074107187200*x^8*e^80*log(5)^19 - 28172276858880*x^7*e^80*log(5)^20 + 4561225777152

0*x^6*e^80*log(5)^21 - 72564955545600*x^5*e^80*log(5)^22 + 113579930419200*x^4*e^80*log(5)^23 - 17510239272960

0*x^3*e^80*log(5)^24 + 266155636948992*x^2*e^80*log(5)^25 - 399233455423488*x*e^80*log(5)^26 + 98304*x^26*e^80

- 1474560*x^25*e^80*log(5) + 11796480*x^24*e^80*log(5)^2 - 66846720*x^23*e^80*log(5)^3 + 300810240*x^22*e^80*

log(5)^4 - 1143078912*x^21*e^80*log(5)^5 + 3810263040*x^20*e^80*log(5)^6 - 11430789120*x^19*e^80*log(5)^7 + 31

434670080*x^18*e^80*log(5)^8 - 80333045760*x^17*e^80*log(5)^9 + 192799309824*x^16*e^80*log(5)^10 - 43818024960

0*x^15*e^80*log(5)^11 + 949390540800*x^14*e^80*log(5)^12 - 1971811123200*x^13*e^80*log(5)^13 + 3943622246400*x

^12*e^80*log(5)^14 - 7624336343040*x^11*e^80*log(5)^15 + 14295630643200*x^10*e^80*log(5)^16 - 26068502937600*x

^9*e^80*log(5)^17 + 46344005222400*x^8*e^80*log(5)^18 - 80492219596800*x^7*e^80*log(5)^19 + 136836773314560*x^

6*e^80*log(5)^20 - 228061288857600*x^5*e^80*log(5)^21 + 373191199948800*x^4*e^80*log(5)^22 - 600351060787200*x

^3*e^80*log(5)^23 + 950555846246400*x^2*e^80*log(5)^24 - 1482867120144384*x*e^80*log(5)^25 - 196608*x^25*e^80

+ 3145728*x^24*e^80*log(5) - 26738688*x^23*e^80*log(5)^2 + 160432128*x^22*e^80*log(5)^3 - 762052608*x^21*e^80*

log(5)^4 + 3048210432*x^20*e^80*log(5)^5 - 10668736512*x^19*e^80*log(5)^6 + 33530314752*x^18*e^80*log(5)^7 - 9

6399654912*x^17*e^80*log(5)^8 + 257065746432*x^16*e^80*log(5)^9 - 642664366080*x^15*e^80*log(5)^10 + 151902486

5280*x^14*e^80*log(5)^11 - 3417805946880*x^13*e^80*log(5)^12 + 7361428193280*x^12*e^80*log(5)^13 - 15248672686

080*x^11*e^80*log(5)^14 + 30497345372160*x^10*e^80*log(5)^15 - 59088606658560*x^9*e^80*log(5)^16 + 11122561253

3760*x^8*e^80*log(5)^17 - 203913622978560*x^7*e^80*log(5)^18 + 364898062172160*x^6*e^80*log(5)^19 - 6385716088

01280*x^5*e^80*log(5)^20 + 1094694186516480*x^4*e^80*log(5)^21 - 1841076586414080*x^3*e^80*log(5)^22 + 3041778

707988480*x^2*e^80*log(5)^23 - 4942890400481280*x*e^80*log(5)^24 + 393216*x^24*e^80 - 6684672*x^23*e^80*log(5)

+ 60162048*x^22*e^80*log(5)^2 - 381026304*x^21*e^80*log(5)^3 + 1905131520*x^20*e^80*log(5)^4 - 8001552384*x^1

9*e^80*log(5)^5 + 29339025408*x^18*e^80*log(5)^6 - 96399654912*x^17*e^80*log(5)^7 + 289198964736*x^16*e^80*log

(5)^8 - 803330457600*x^15*e^80*log(5)^9 + 2088659189760*x^14*e^80*log(5)^10 - 5126708920320*x^13*e^80*log(5)^1

1 + 11962320814080*x^12*e^80*log(5)^12 - 26685177200640*x^11*e^80*log(5)^13 + 57182522572800*x^10*e^80*log(5)^

14 - 118177213317120*x^9*e^80*log(5)^15 + 236354426634240*x^8*e^80*log(5)^16 - 458805651701760*x^7*e^80*log(5)

^17 + 866632897658880*x^6*e^80*log(5)^18 - 1596429022003200*x^5*e^80*log(5)^19 + 2873572239605760*x^4*e^80*log

(5)^20 - 5062960612638720*x^3*e^80*log(5)^21 + 8745113785466880*x^2*e^80*log(5)^22 - 14828671201443840*x*e^80*

log(5)^23 - 786432*x^23*e^80 + 14155776*x^22*e^80*log(5) - 134479872*x^21*e^80*log(5)^2 + 896532480*x^20*e^80*

log(5)^3 - 4706795520*x^19*e^80*log(5)^4 + 20709900288*x^18*e^80*log(5)^5 - 79387951104*x^17*e^80*log(5)^6 + 2

72187260928*x^16*e^80*log(5)^7 - 850585190400*x^15*e^80*log(5)^8 + 2457246105600*x^14*e^80*log(5)^9 - 66345644

85120*x^13*e^80*log(5)^10 + 16887982325760*x^12*e^80*log(5)^11 - 40812623953920*x^11*e^80*log(5)^12 + 94182978

355200*x^10*e^80*log(5)^13 - 208548023500800*x^9*e^80*log(5)^14 + 444902450135040*x^8*e^80*log(5)^15 - 9176113

03403520*x^7*e^80*log(5)^16 + 1835222606807040*x^6*e^80*log(5)^17 - 3568488402124800*x^5*e^80*log(5)^18 + 6761

346446131200*x^4*e^80*log(5)^19 - 12508490925342720*x^3*e^80*log(5)^20 + 22634412150620160*x^2*e^80*log(5)^21

- 40124639721553920*x*e^80*log(5)^22 + 1572864*x^22*e^80 - 29884416*x^21*e^80*log(5) + 298844160*x^20*e^80*log

(5)^2 - 2091909120*x^19*e^80*log(5)^3 + 11505500160*x^18*e^80*log(5)^4 - 52925300736*x^17*e^80*log(5)^5 + 2117

01202944*x^16*e^80*log(5)^6 - 756075724800*x^15*e^80*log(5)^7 + 2457246105600*x^14*e^80*log(5)^8 - 73717383168

00*x^13*e^80*log(5)^9 + 20640867287040*x^12*e^80*log(5)^10 - 54416831938560*x^11*e^80*log(5)^11 + 136042079846

400*x^10*e^80*log(5)^12 - 324408036556800*x^9*e^80*log(5)^13 + 741504083558400*x^8*e^80*log(5)^14 - 1631308983

828480*x^7*e^80*log(5)^15 + 3466531590635520*x^6*e^80*log(5)^16 - 7136976804249600*x^5*e^80*log(5)^17 + 142739

53608499200*x^4*e^80*log(5)^18 - 27796646500761600*x^3*e^80*log(5)^19 + 52813628351447040*x^2*e^80*log(5)^20 -

98082452652687360*x*e^80*log(5)^21 - 3145728*x^21*e^80 + 62914560*x^20*e^80*log(5) - 660602880*x^19*e^80*log(

5)^2 + 4844421120*x^18*e^80*log(5)^3 - 27855421440*x^17*e^80*log(5)^4 + 133706022912*x^16*e^80*log(5)^5 - 5571

08428800*x^15*e^80*log(5)^6 + 2069259878400*x^14*e^80*log(5)^7 - 6983752089600*x^13*e^80*log(5)^8 + 2172722872

3200*x^12*e^80*log(5)^9 - 63008963297280*x^11*e^80*log(5)^10 + 171842627174400*x^10*e^80*log(5)^11 - 443926786

867200*x^9*e^80*log(5)^12 + 1092742859980800*x^8*e^80*log(5)^13 - 2575751027097600*x^7*e^80*log(5)^14 + 583836

8994754560*x^6*e^80*log(5)^15 - 12771432176025600*x^5*e^80*log(5)^16 + 27045385784524800*x^4*e^80*log(5)^17 -

55593293001523200*x^3*e^80*log(5)^18 + 111186586003046400*x^2*e^80*log(5)^19 - 216813842705940480*x*e^80*log(5

)^20 + 6291456*x^20*e^80 - 132120576*x^19*e^80*log(5) + 1453326336*x^18*e^80*log(5)^2 - 11142168576*x^17*e^80*

log(5)^3 + 66853011456*x^16*e^80*log(5)^4 - 334265057280*x^15*e^80*log(5)^5 + 1448481914880*x^14*e^80*log(5)^6

- 5587001671680*x^13*e^80*log(5)^7 + 19554505850880*x^12*e^80*log(5)^8 - 63008963297280*x^11*e^80*log(5)^9 +

189026889891840*x^10*e^80*log(5)^10 - 532712144240640*x^9*e^80*log(5)^11 + 1420565717975040*x^8*e^80*log(5)^12

- 3606051437936640*x^7*e^80*log(5)^13 + 8757553492131840*x^6*e^80*log(5)^14 - 20434291481640960*x^5*e^80*log(

5)^15 + 45977155833692160*x^4*e^80*log(5)^16 - 100067927402741760*x^3*e^80*log(5)^17 + 211254513405788160*x^2*

e^80*log(5)^18 - 433627685411880960*x*e^80*log(5)^19 - 12582912*x^19*e^80 + 276824064*x^18*e^80*log(5) - 31834

76736*x^17*e^80*log(5)^2 + 25467813888*x^16*e^80*log(5)^3 - 159173836800*x^15*e^80*log(5)^4 + 827703951360*x^1

4*e^80*log(5)^5 - 3724667781120*x^13*e^80*log(5)^6 + 14898671124480*x^12*e^80*log(5)^7 - 54007682826240*x^11*e

^80*log(5)^8 + 180025609420800*x^10*e^80*log(5)^9 - 558079389204480*x^9*e^80*log(5)^10 + 1623503677685760*x^8*

e^80*log(5)^11 - 4464635113635840*x^7*e^80*log(5)^12 + 11676737989509120*x^6*e^80*log(5)^13 - 2919184497377280

0*x^5*e^80*log(5)^14 + 70060427937054720*x^4*e^80*log(5)^15 - 162014739604439040*x^3*e^80*log(5)^16 + 36215059

4409922560*x^2*e^80*log(5)^17 - 784659621221498880*x*e^80*log(5)^18 + 25165824*x^18*e^80 - 578813952*x^17*e^80

*log(5) + 6945767424*x^16*e^80*log(5)^2 - 57881395200*x^15*e^80*log(5)^3 + 376229068800*x^14*e^80*log(5)^4 - 2

031636971520*x^13*e^80*log(5)^5 + 9480972533760*x^12*e^80*log(5)^6 - 39278314782720*x^11*e^80*log(5)^7 + 14729

3680435200*x^10*e^80*log(5)^8 - 507344899276800*x^9*e^80*log(5)^9 + 1623503677685760*x^8*e^80*log(5)^10 - 4870

511033057280*x^7*e^80*log(5)^11 + 13799781260328960*x^6*e^80*log(5)^12 - 37153257239347200*x^5*e^80*log(5)^13

+ 95536947186892800*x^4*e^80*log(5)^14 - 235657803061002240*x^3*e^80*log(5)^15 + 559687282269880320*x^2*e^80*l

og(5)^16 - 1283988471089725440*x*e^80*log(5)^17 - 50331648*x^17*e^80 + 1207959552*x^16*e^80*log(5) - 150994944

00*x^15*e^80*log(5)^2 + 130862284800*x^14*e^80*log(5)^3 - 883320422400*x^13*e^80*log(5)^4 + 4946594365440*x^12

*e^80*log(5)^5 - 23908539432960*x^11*e^80*log(5)^6 + 102465168998400*x^10*e^80*log(5)^7 - 397052529868800*x^9*

e^80*log(5)^8 + 1411742328422400*x^8*e^80*log(5)^9 - 4658749683793920*x^7*e^80*log(5)^10 + 14399771749908480*x

^6*e^80*log(5)^11 - 41999334270566400*x^5*e^80*log(5)^12 + 116305848749260800*x^4*e^80*log(5)^13 - 30737974312

3046400*x^3*e^80*log(5)^14 + 778695349245050880*x^2*e^80*log(5)^15 - 1898069913784811520*x*e^80*log(5)^16 + 10

0663296*x^16*e^80 - 2516582400*x^15*e^80*log(5) + 32715571200*x^14*e^80*log(5)^2 - 294440140800*x^13*e^80*log(

5)^3 + 2061080985600*x^12*e^80*log(5)^4 - 11954269716480*x^11*e^80*log(5)^5 + 59771348582400*x^10*e^80*log(5)^

6 - 264701686579200*x^9*e^80*log(5)^7 + 1058806746316800*x^8*e^80*log(5)^8 - 3882291403161600*x^7*e^80*log(5)^

9 + 13199790770749440*x^6*e^80*log(5)^10 - 41999334270566400*x^5*e^80*log(5)^11 + 125998002811699200*x^4*e^80*

log(5)^12 - 358609700310220800*x^3*e^80*log(5)^13 + 973369186556313600*x^2*e^80*log(5)^14 - 253075988504641536

0*x*e^80*log(5)^15 - 201326592*x^15*e^80 + 5234491392*x^14*e^80*log(5) - 70665633792*x^13*e^80*log(5)^2 + 6595

45915392*x^12*e^80*log(5)^3 - 4781707886592*x^11*e^80*log(5)^4 + 28690247319552*x^10*e^80*log(5)^5 - 148232944

484352*x^9*e^80*log(5)^6 + 677636317642752*x^8*e^80*log(5)^7 - 2795249810276352*x^7*e^80*log(5)^8 + 1055983261

6599552*x^6*e^80*log(5)^9 - 36959414158098432*x^5*e^80*log(5)^10 + 120958082699231232*x^4*e^80*log(5)^11 - 372

954088322629632*x^3*e^80*log(5)^12 + 1090173488943071232*x^2*e^80*log(5)^13 - 3036911862055698432*x*e^80*log(5

)^14 + 402653184*x^14*e^80 - 10871635968*x^13*e^80*log(5) + 152202903552*x^12*e^80*log(5)^2 - 1471294734336*x^

11*e^80*log(5)^3 + 11034710507520*x^10*e^80*log(5)^4 - 68415205146624*x^9*e^80*log(5)^5 + 364881094115328*x^8*

e^80*log(5)^6 - 1720153729400832*x^7*e^80*log(5)^7 + 7310653349953536*x^6*e^80*log(5)^8 - 28430318583152640*x^

5*e^80*log(5)^9 + 102349146899349504*x^4*e^80*log(5)^10 - 344265312297811968*x^3*e^80*log(5)^11 + 109017348894

3071232*x^2*e^80*log(5)^12 - 3270520466829213696*x*e^80*log(5)^13 - 805306368*x^13*e^80 + 22548578304*x^12*e^8

0*log(5) - 326954385408*x^11*e^80*log(5)^2 + 3269543854080*x^10*e^80*log(5)^3 - 25338964869120*x^9*e^80*log(5)

^4 + 162169375162368*x^8*e^80*log(5)^5 - 891931563393024*x^7*e^80*log(5)^6 + 4332239022194688*x^6*e^80*log(5)^

7 - 18953545722101760*x^5*e^80*log(5)^8 + 75814182888407040*x^4*e^80*log(5)^9 - 280512476687106048*x^3*e^80*lo

g(5)^10 + 969043101282729984*x^2*e^80*log(5)^11 - 3149390079168872448*x*e^80*log(5)^12 + 1610612736*x^12*e^80

- 46707769344*x^11*e^80*log(5) + 700616540160*x^10*e^80*log(5)^2 - 7239704248320*x^9*e^80*log(5)^3 + 579176339

86560*x^8*e^80*log(5)^4 - 382256384311296*x^7*e^80*log(5)^5 + 2166119511097344*x^6*e^80*log(5)^6 - 10830597555

486720*x^5*e^80*log(5)^7 + 48737688999690240*x^4*e^80*log(5)^8 - 200366054776504320*x^3*e^80*log(5)^9 + 761391

008150716416*x^2*e^80*log(5)^10 - 2699477210716176384*x*e^80*log(5)^11 - 3221225472*x^11*e^80 + 96636764160*x^

10*e^80*log(5) - 1497869844480*x^9*e^80*log(5)^2 + 15977278341120*x^8*e^80*log(5)^3 - 131812546314240*x^7*e^80

*log(5)^4 + 896325314936832*x^6*e^80*log(5)^5 - 5228564337131520*x^5*e^80*log(5)^6 + 26889759448104960*x^4*e^8

0*log(5)^7 - 124365137447485440*x^3*e^80*log(5)^8 + 525097247000494080*x^2*e^80*log(5)^9 - 2047879263301926912

*x*e^80*log(5)^10 + 6442450944*x^10*e^80 - 199715979264*x^9*e^80*log(5) + 3195455668224*x^8*e^80*log(5)^2 - 35

150012350464*x^7*e^80*log(5)^3 + 298775104978944*x^6*e^80*log(5)^4 - 2091425734852608*x^5*e^80*log(5)^5 + 1254

8554409115648*x^4*e^80*log(5)^6 - 66328073305325568*x^3*e^80*log(5)^7 + 315058348200296448*x^2*e^80*log(5)^8 -

1365252842201284608*x*e^80*log(5)^9 - 12884901888*x^9*e^80 + 412316860416*x^8*e^80*log(5) - 6803228196864*x^7

*e^80*log(5)^2 + 77103252897792*x^6*e^80*log(5)^3 - 674653462855680*x^5*e^80*log(5)^4 + 4857504932560896*x^4*e

^80*log(5)^5 - 29954613750792192*x^3*e^80*log(5)^6 + 162610760361443328*x^2*e^80*log(5)^7 - 792727456762036224

*x*e^80*log(5)^8 + 25769803776*x^8*e^80 - 850403524608*x^7*e^80*log(5) + 14456859918336*x^6*e^80*log(5)^2 - 16

8663365713920*x^5*e^80*log(5)^3 + 1517970291425280*x^4*e^80*log(5)^4 - 11232980156547072*x^3*e^80*log(5)^5 + 7

1142207658131456*x^2*e^80*log(5)^6 - 396363728381018112*x*e^80*log(5)^7 - 51539607552*x^7*e^80 + 1752346656768

*x^6*e^80*log(5) - 30666066493440*x^5*e^80*log(5)^2 + 367992797921280*x^4*e^80*log(5)^3 - 3403933380771840*x^3

*e^80*log(5)^4 + 25869893693865984*x^2*e^80*log(5)^5 - 168154309010128896*x*e^80*log(5)^6 + 103079215104*x^6*e

^80 - 3607772528640*x^5*e^80*log(5) + 64939905515520*x^4*e^80*log(5)^2 - 800925501358080*x^3*e^80*log(5)^3 + 7

608792262901760*x^2*e^80*log(5)^4 - 59348579650633728*x*e^80*log(5)^5 - 206158430208*x^5*e^80 + 7421703487488*

x^4*e^80*log(5) - 137301514518528*x^3*e^80*log(5)^2 + 1739152517234688*x^2*e^80*log(5)^3 - 16956737043038208*x

*e^80*log(5)^4 + 412316860416*x^4*e^80 - 15255723835392*x^3*e^80*log(5) + 289858752872448*x^2*e^80*log(5)^2 -

3768163787341824*x*e^80*log(5)^3 - 824633720832*x^3*e^80 + 31336081391616*x^2*e^80*log(5) - 611053587136512*x*

e^80*log(5)^2 + 1649267441664*x^2*e^80 - 64321430224896*x*e^80*log(5) - 6*x^2 - 3298534883328*x*e^80 + 6*x*log

(5) + 12*x - 6*(e^80*log(5)^41 + 82*e^80*log(5)^40 + 3280*e^80*log(5)^39 + 85280*e^80*log(5)^38 + 1620320*e^80

*log(5)^37 + 23980736*e^80*log(5)^36 + 287768832*e^80*log(5)^35 + 2877688320*e^80*log(5)^34 + 24460350720*e^80

*log(5)^33 + 179375905280*e^80*log(5)^32 + 1148005793792*e^80*log(5)^31 + 6470578110464*e^80*log(5)^30 + 32352

890552320*e^80*log(5)^29 + 144343665541120*e^80*log(5)^28 + 577374662164480*e^80*log(5)^27 + 2078548783792128*

e^80*log(5)^26 + 6755283547324416*e^80*log(5)^25 + 19868481021542400*e^80*log(5)^24 + 52982616057446400*e^80*l

og(5)^23 + 128273702033817600*e^80*log(5)^22 + 282202144474398720*e^80*log(5)^21 + 564404288948797440*e^80*log

(5)^20 + 1026189616270540800*e^80*log(5)^19 + 1695443713838284800*e^80*log(5)^18 + 2543165570757427200*e^80*lo

g(5)^17 + 3458705176230100992*e^80*log(5)^16 + 4256867909206278144*e^80*log(5)^15 + 4729853232451420160*e^80*l

og(5)^14 + 4729853232451420160*e^80*log(5)^13 + 4240558070473687040*e^80*log(5)^12 + 3392446456378949632*e^80*

log(5)^11 + 2407542646462480384*e^80*log(5)^10 + 1504714154039050240*e^80*log(5)^9 + 820753174930391040*e^80*l

og(5)^8 + 386236788202536960*e^80*log(5)^7 + 154494715281014784*e^80*log(5)^6 + 51498238427004928*e^80*log(5)^

5 + 13918442818109440*e^80*log(5)^4 + 2930198488023040*e^80*log(5)^3 + 450799767388160*e^80*log(5)^2 - log(5)^

3 + 45079976738816*e^80*log(5) - 6*log(5)^2 + 2199023255552*e^80 - 12*log(5) - 8)/(x + log(5) + 2)

Mupad [B] (veriﬁcation not implemented)

Time = 14.29 (sec) , antiderivative size = 20, normalized size of antiderivative = 0.83 \[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx=\frac {6\,x^3\,\left (x^{38}\,{\mathrm {e}}^{80}-1\right )}{x+\ln \left (5\right )+2} \]

int(-(18*x^2*log(5) - exp(40*log(x) + 80)*(240*x + 246*log(5) + 492) + 36*x^2 + 12*x^3)/(4*x + log(5)*(2*x + 4

\(\int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx\) [8409]

Optimal result

Rubi [B] (veriﬁed)

Mathematica [B] (veriﬁed)

Maple [A] (veriﬁed)

Fricas [B] (veriﬁcation not implemented)

Sympy [B] (veriﬁcation not implemented)

Maxima [B] (veriﬁcation not implemented)

Giac [B] (veriﬁcation not implemented)

Mupad [B] (veriﬁcation not implemented)