3.100.82 \(\int \frac {-31500 x-11520 x^2-900 x^3+(10800 x+1800 x^2) \log (3)-900 x \log ^2(3)+e^x (11250 x-1350 x^3-180 x^4+(-4500 x+900 x^2+360 x^3) \log (3)+(450 x-180 x^2) \log ^2(3))+(11250 x+4500 x^2+450 x^3+(-4500 x-900 x^2) \log (3)+450 x \log ^2(3)) \log (5)+(12600 x+4464 x^2+360 x^3+(-4320 x-720 x^2) \log (3)+360 x \log ^2(3)+e^x (-4500 x-900 x^2+180 x^3+36 x^4+(1800 x-72 x^3) \log (3)+(-180 x+36 x^2) \log ^2(3))+(-4500 x-1800 x^2-180 x^3+(1800 x+360 x^2) \log (3)-180 x \log ^2(3)) \log (5)) \log (\frac {196+56 x+4 x^2+(-56-8 x) \log (3)+4 \log ^2(3)+e^{2 x} (25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3))+(-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)) \log (5)+(25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)) \log ^2(5)+e^x (-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)+(50+20 x+2 x^2+(-20-4 x) \log (3)+2 \log ^2(3)) \log (5))}{25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)})+(-1260 x-432 x^2-36 x^3+(432 x+72 x^2) \log (3)-36 x \log ^2(3)+e^x (450 x+180 x^2+18 x^3+(-180 x-36 x^2) \log (3)+18 x \log ^2(3))+(450 x+180 x^2+18 x^3+(-180 x-36 x^2) \log (3)+18 x \log ^2(3)) \log (5)) \log ^2(\frac {196+56 x+4 x^2+(-56-8 x) \log (3)+4 \log ^2(3)+e^{2 x} (25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3))+(-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)) \log (5)+(25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)) \log ^2(5)+e^x (-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)+(50+20 x+2 x^2+(-20-4 x) \log (3)+2 \log ^2(3)) \log (5))}{25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)})}{-70-24 x-2 x^2+(24+4 x) \log (3)-2 \log ^2(3)+e^x (25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3))+(25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)) \log (5)} \, dx\)

Optimal. Leaf size=36 \[ 9 x^2 \left (5-\log \left (\left (2-e^x-\frac {4}{-5-x+\log (3)}-\log (5)\right )^2\right )\right )^2 \]

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Rubi [F]  time = 109.17, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \int \frac {-31500 x-11520 x^2-900 x^3+\left (10800 x+1800 x^2\right ) \log (3)-900 x \log ^2(3)+e^x \left (11250 x-1350 x^3-180 x^4+\left (-4500 x+900 x^2+360 x^3\right ) \log (3)+\left (450 x-180 x^2\right ) \log ^2(3)\right )+\left (11250 x+4500 x^2+450 x^3+\left (-4500 x-900 x^2\right ) \log (3)+450 x \log ^2(3)\right ) \log (5)+\left (12600 x+4464 x^2+360 x^3+\left (-4320 x-720 x^2\right ) \log (3)+360 x \log ^2(3)+e^x \left (-4500 x-900 x^2+180 x^3+36 x^4+\left (1800 x-72 x^3\right ) \log (3)+\left (-180 x+36 x^2\right ) \log ^2(3)\right )+\left (-4500 x-1800 x^2-180 x^3+\left (1800 x+360 x^2\right ) \log (3)-180 x \log ^2(3)\right ) \log (5)\right ) \log \left (\frac {196+56 x+4 x^2+(-56-8 x) \log (3)+4 \log ^2(3)+e^{2 x} \left (25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right )+\left (-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)\right ) \log (5)+\left (25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right ) \log ^2(5)+e^x \left (-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)+\left (50+20 x+2 x^2+(-20-4 x) \log (3)+2 \log ^2(3)\right ) \log (5)\right )}{25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)}\right )+\left (-1260 x-432 x^2-36 x^3+\left (432 x+72 x^2\right ) \log (3)-36 x \log ^2(3)+e^x \left (450 x+180 x^2+18 x^3+\left (-180 x-36 x^2\right ) \log (3)+18 x \log ^2(3)\right )+\left (450 x+180 x^2+18 x^3+\left (-180 x-36 x^2\right ) \log (3)+18 x \log ^2(3)\right ) \log (5)\right ) \log ^2\left (\frac {196+56 x+4 x^2+(-56-8 x) \log (3)+4 \log ^2(3)+e^{2 x} \left (25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right )+\left (-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)\right ) \log (5)+\left (25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right ) \log ^2(5)+e^x \left (-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)+\left (50+20 x+2 x^2+(-20-4 x) \log (3)+2 \log ^2(3)\right ) \log (5)\right )}{25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)}\right )}{-70-24 x-2 x^2+(24+4 x) \log (3)-2 \log ^2(3)+e^x \left (25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right )+\left (25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right ) \log (5)} \, dx \end {gather*}

Verification is not applicable to the result.

[In]

Int[(-31500*x - 11520*x^2 - 900*x^3 + (10800*x + 1800*x^2)*Log[3] - 900*x*Log[3]^2 + E^x*(11250*x - 1350*x^3 -
180*x^4 + (-4500*x + 900*x^2 + 360*x^3)*Log[3] + (450*x - 180*x^2)*Log[3]^2) + (11250*x + 4500*x^2 + 450*x^3
+ (-4500*x - 900*x^2)*Log[3] + 450*x*Log[3]^2)*Log[5] + (12600*x + 4464*x^2 + 360*x^3 + (-4320*x - 720*x^2)*Lo
g[3] + 360*x*Log[3]^2 + E^x*(-4500*x - 900*x^2 + 180*x^3 + 36*x^4 + (1800*x - 72*x^3)*Log[3] + (-180*x + 36*x^
2)*Log[3]^2) + (-4500*x - 1800*x^2 - 180*x^3 + (1800*x + 360*x^2)*Log[3] - 180*x*Log[3]^2)*Log[5])*Log[(196 +
56*x + 4*x^2 + (-56 - 8*x)*Log[3] + 4*Log[3]^2 + E^(2*x)*(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2) + (
-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2)*Log[5] + (25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^
2)*Log[5]^2 + E^x*(-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2 + (50 + 20*x + 2*x^2 + (-20 - 4*x)*Log
[3] + 2*Log[3]^2)*Log[5]))/(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)] + (-1260*x - 432*x^2 - 36*x^3 +
(432*x + 72*x^2)*Log[3] - 36*x*Log[3]^2 + E^x*(450*x + 180*x^2 + 18*x^3 + (-180*x - 36*x^2)*Log[3] + 18*x*Log[
3]^2) + (450*x + 180*x^2 + 18*x^3 + (-180*x - 36*x^2)*Log[3] + 18*x*Log[3]^2)*Log[5])*Log[(196 + 56*x + 4*x^2
+ (-56 - 8*x)*Log[3] + 4*Log[3]^2 + E^(2*x)*(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2) + (-140 - 48*x -
4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2)*Log[5] + (25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)*Log[5]^2 +
E^x*(-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2 + (50 + 20*x + 2*x^2 + (-20 - 4*x)*Log[3] + 2*Log[3
]^2)*Log[5]))/(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)]^2)/(-70 - 24*x - 2*x^2 + (24 + 4*x)*Log[3] -
2*Log[3]^2 + E^x*(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2) + (25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + L
og[3]^2)*Log[5]),x]

[Out]

225*x^2 - 6*x^4 - 90*x^2*Log[(14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 +
x - Log[3])^2] + 12*x^3*Log[(14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 + x
- Log[3])^2] + 180*(5 - Log[3])^3*(2 - Log[5])*Defer[Int][(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2)
- 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x] + 90*(5 - Log[3])*(148 - 38*Log[3] - Log[3]^2*Log[25] - (
5 - Log[9])*Log[87890625])*Defer[Int][(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log
[5] - Log[28125])/14))^(-1), x] - 180*(5 - Log[3])^2*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][(E^x*x +
5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x] - 12*(5 - Log[
3])*(25 - Log[9])*(4 + Log[3]^2*(6 - Log[125]) - Log[729]*Log[3125] + Log[9]*Log[28125] + Log[25]*Log[59049] +
Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[27] - Log[1802032470703125]))*Defer[Int][(E^x*x + 5*E^x*(1 - Log[3]
/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x] - 36*(5 - Log[3])^3*(2 - Log[5])
*Log[(14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 + x - Log[3])^2]*Defer[Int
][(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x] - 36
*(5 - Log[3])*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*Log[(14 - E^x*(5 + x - Log[3])
+ x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 + x - Log[3])^2]*Defer[Int][(E^x*x + 5*E^x*(1 - Log[3]/5)
- 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x] + 36*(5 - Log[3])^2*(24 + Log[5]*Log
[9] - Log[791015625])*Log[(14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 + x -
Log[3])^2]*Defer[Int][(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125
])/14))^(-1), x] - 180*(5 - Log[3])^2*(2 - Log[5])*Defer[Int][x/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5
]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 90*(148 - 38*Log[3] - Log[3]^2*Log[25] - (5 - Log[9])*L
og[87890625])*Defer[Int][x/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[2
8125])/14)), x] + 180*(5 - Log[3])*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][x/(E^x*x + 5*E^x*(1 - Log[
3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 12*(25 - Log[9])*(4 + Log[3]^2*(6
- Log[125]) - Log[729]*Log[3125] + Log[9]*Log[28125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Lo
g[5]*Log[27] - Log[1802032470703125]))*Defer[Int][x/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1
+ (Log[3]*Log[5] - Log[28125])/14)), x] + 36*(5 - Log[3])^2*(2 - Log[5])*Log[(14 - E^x*(5 + x - Log[3]) + x*(
2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 + x - Log[3])^2]*Defer[Int][x/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2
*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 36*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log
[3]*(24 - Log[87890625]))*Log[(14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 +
x - Log[3])^2]*Defer[Int][x/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log
[28125])/14)), x] - 36*(5 - Log[3])*(24 + Log[5]*Log[9] - Log[791015625])*Log[(14 - E^x*(5 + x - Log[3]) + x*(
2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 + x - Log[3])^2]*Defer[Int][x/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2
*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 180*(5 - Log[3])*(2 - Log[5])*Defer[Int][x
^2/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 180*(2
4 + Log[5]*Log[9] - Log[791015625])*Defer[Int][x^2/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1
+ (Log[3]*Log[5] - Log[28125])/14)), x] + 12*(202 + Log[3]*(22 - 60*Log[5]) - 6*Log[3]^2*(2 - Log[5]) + Log[72
9]*Log[3125] - Log[81]*Log[28125] + Log[5]*(125 + (25 - Log[9])*Log[27] - 4*Log[59049]) + Log[9]*Log[2278125]
- 25*Log[791015625] + Log[9]*Log[791015625] + 2*Log[84170560980141162872314453125])*Defer[Int][x^2/(E^x*x + 5*
E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 36*(5 - Log[3])*(2 -
Log[5])*Log[(14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 + x - Log[3])^2]*D
efer[Int][x^2/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)),
x] + 36*(24 + Log[5]*Log[9] - Log[791015625])*Log[(14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5]
- Log[28125])^2/(5 + x - Log[3])^2]*Defer[Int][x^2/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1
+ (Log[3]*Log[5] - Log[28125])/14)), x] - 180*(2 - Log[5])*Defer[Int][x^3/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*
(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 12*(2 - Log[25]*Log[27] - Log[3125/81] + Log[
5]*Log[81])*Defer[Int][x^3/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[2
8125])/14)), x] + 36*(2 - Log[5])*Log[(14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125]
)^2/(5 + x - Log[3])^2]*Defer[Int][x^3/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Lo
g[5] - Log[28125])/14)), x] - 24*(2 - Log[5])*Defer[Int][x^4/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2
) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 180*(5 - Log[3])^4*(2 - Log[5])*Defer[Int][1/((5 + x - Log
[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x] - 90*
(5 - Log[3])^2*(148 - 38*Log[3] - Log[3]^2*Log[25] - (5 - Log[9])*Log[87890625])*Defer[Int][1/((5 + x - Log[3]
)*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x] + 180*(5
- Log[3])^3*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][1/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5
) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x] + 12*(5 - Log[3])^2*(25 - Log[9])*(4 +
Log[3]^2*(6 - Log[125]) - Log[729]*Log[3125] + Log[9]*Log[28125] + Log[25]*Log[59049] + Log[5]*Log[14348907]
+ Log[3]*(Log[5]*Log[27] - Log[1802032470703125]))*Defer[Int][1/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5
) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x] + 36*(5 - Log[3])^4*(2 - Log[5])*Log[(
14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 + x - Log[3])^2]*Defer[Int][1/((
5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))
), x] + 36*(5 - Log[3])^2*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*Log[(14 - E^x*(5 +
x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log[5] - Log[28125])^2/(5 + x - Log[3])^2]*Defer[Int][1/((5 + x - Log[3]
)*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x] - 36*(5
- Log[3])^3*(24 + Log[5]*Log[9] - Log[791015625])*Log[(14 - E^x*(5 + x - Log[3]) + x*(2 - Log[5]) + Log[3]*Log
[5] - Log[28125])^2/(5 + x - Log[3])^2]*Defer[Int][1/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1
- Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x] + 18*Defer[Int][x*Log[(E^x*(5 + x - Log[3]) + x*(
-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^2/(5 + x - Log[3])^2]^2, x] + 72*(5 - Log[3])^3*(2 -
Log[5])*Defer[Int][Defer[Int][(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/1
4))^(-1), x], x] + 72*(5 - Log[3])*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*Defer[Int]
[Defer[Int][(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x], x] -
72*(5 - Log[3])^2*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][Defer[Int][(E^x*(5 + x - Log[3]) + x*(-2 +
Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x], x] + 144*(5 - Log[3])*(7 - (Log[3]*(Log[3]*Log[
5] - Log[5]*Log[9] + Log[28125]))/Log[9])*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*Def
er[Int][Defer[Int][(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x
]/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 144*(5
- Log[3])^2*(7 + (Log[3]*(Log[3]*Log[5] - Log[28125]))/Log[9])*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int
][Defer[Int][(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x]/(E^x
*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + (144*(5 - Log
[3])^3*Log[3]^2*(2 - Log[5])*(28 + Log[5]*Log[9] - Log[791015625])*Defer[Int][Defer[Int][(E^x*(5 + x - Log[3])
+ x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x]/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1
- Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x])/Log[9]^2 + 72*(5 - Log[3])^3*(2 - Log[5])^2*Defe
r[Int][(x*Defer[Int][(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1),
x])/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 72*(
5 - Log[3])*(2 - Log[5])*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*Defer[Int][(x*Defer[
Int][(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x])/(E^x*x + 5*
E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 72*(5 - Log[3])^2*(2
- Log[5])*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][(x*Defer[Int][(E^x*(5 + x - Log[3]) + x*(-2 + Log[
5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x])/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) -
14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 72*(5 - Log[3])^3*(2 - Log[5])*(4 + Log[3]^2*(6 - Log[125]) -
Log[729]*Log[3125] + Log[9]*Log[28125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[27] -
Log[1802032470703125]))*Defer[Int][Defer[Int][(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5
] - Log[28125])/14))^(-1), x]/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (
Log[3]*Log[5] - Log[28125])/14))), x] - 72*(5 - Log[3])^2*(24 + Log[5]*Log[9] - Log[791015625])*(4 + Log[3]^2*
(6 - Log[125]) - Log[729]*Log[3125] + Log[9]*Log[28125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(
Log[5]*Log[27] - Log[1802032470703125]))*Defer[Int][Defer[Int][(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1
+ (Log[3]*Log[5] - Log[28125])/14))^(-1), x]/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5
]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x] + 72*(5 - Log[3])*(74 - 25*Log[5] - Log[3]^2*Log[5] - Lo
g[3]*(24 - Log[87890625]))*(4 + Log[9]^2 + Log[3]^2*(6 - Log[25]) - Log[9]*Log[3125] + Log[25]*Log[59049] + Lo
g[5]*Log[14348907] + Log[3]*(Log[5]*Log[9] - Log[17597973346710205078125]))*Defer[Int][Defer[Int][(E^x*(5 + x
- Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))^(-1), x]/((5 + x - Log[3])*(E^x*x + 5*
E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x] - 72*(5 - Log[3])^2*(
2 - Log[5])*Defer[Int][Defer[Int][x/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[281
25])/14)), x], x] - 72*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*Defer[Int][Defer[Int][
x/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x], x] + 72*(5 - Log[3]
)*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][Defer[Int][x/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(
1 + (Log[3]*Log[5] - Log[28125])/14)), x], x] - 144*(7 - (Log[3]*(Log[3]*Log[5] - Log[5]*Log[9] + Log[28125]))
/Log[9])*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*Defer[Int][Defer[Int][x/(E^x*(5 + x
- Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x]/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*
x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 144*(5 - Log[3])*(7 - (Log[3]*(Log[3]*Log[5
] - Log[5]*Log[9] + Log[28125]))/Log[9])*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][Defer[Int][x/(E^x*(5
+ x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x]/(E^x*x + 5*E^x*(1 - Log[3]/5)
- 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 72*(5 - Log[3])^2*(2 - Log[5])^2*Defer
[Int][(x*Defer[Int][x/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x])
/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 72*(2 -
Log[5])*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*Defer[Int][(x*Defer[Int][x/(E^x*(5 +
x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x])/(E^x*x + 5*E^x*(1 - Log[3]/5) -
2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 72*(5 - Log[3])*(2 - Log[5])*(24 + Log[5
]*Log[9] - Log[791015625])*Defer[Int][(x*Defer[Int][x/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3
]*Log[5] - Log[28125])/14)), x])/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] -
Log[28125])/14)), x] - 72*(5 - Log[3])^2*(2 - Log[5])*(4 + Log[3]^2*(6 - Log[125]) - Log[729]*Log[3125] + Log
[9]*Log[28125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[27] - Log[1802032470703125]))*
Defer[Int][Defer[Int][x/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x
]/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/
14))), x] - 72*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*(4 + Log[9]^2 + Log[3]^2*(6 -
Log[25]) - Log[9]*Log[3125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[9] - Log[17597973
346710205078125]))*Defer[Int][Defer[Int][x/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] -
Log[28125])/14)), x]/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Lo
g[5] - Log[28125])/14))), x] + 72*(5 - Log[3])*(24 + Log[5]*Log[9] - Log[791015625])*(4 + Log[9]^2 + Log[3]^2*
(6 - Log[25]) - Log[9]*Log[3125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[9] - Log[175
97973346710205078125]))*Defer[Int][Defer[Int][x/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[
5] - Log[28125])/14)), x]/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[
3]*Log[5] - Log[28125])/14))), x] + (144*(5 - Log[3])^2*Log[3]^2*(2 - Log[5])*(28 + Log[5]*Log[9] - Log[791015
625])*Defer[Int][Defer[Int][x/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/1
4)), x]/(-(E^x*x) - 5*E^x*(1 - Log[3]/5) + 2*x*(1 - Log[5]/2) + 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x])
/Log[9]^2 + 72*(5 - Log[3])*(2 - Log[5])*Defer[Int][Defer[Int][x^2/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 1
4*(1 + (Log[3]*Log[5] - Log[28125])/14)), x], x] - 72*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][Defer[I
nt][x^2/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x], x] + 144*(5 -
Log[3])*(2 - Log[5])*(7 - (Log[3]*(Log[3]*Log[5] - Log[5]*Log[9] + Log[28125]))/Log[9])*Defer[Int][Defer[Int]
[x^2/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x]/(E^x*x + 5*E^x*(1
- Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 144*(7 - (Log[3]*(Log[3]*L
og[5] - Log[5]*Log[9] + Log[28125]))/Log[9])*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][Defer[Int][x^2/(
E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x]/(E^x*x + 5*E^x*(1 - Log
[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 72*(5 - Log[3])*(2 - Log[5])^2*D
efer[Int][(x*Defer[Int][x^2/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)
), x])/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 72
*(2 - Log[5])*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][(x*Defer[Int][x^2/(E^x*(5 + x - Log[3]) + x*(-2
+ Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x])/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2)
- 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 72*(5 - Log[3])*(2 - Log[5])*(4 + Log[9]^2 + Log[3]^2*(6 -
Log[25]) - Log[9]*Log[3125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[9] - Log[17597973
346710205078125]))*Defer[Int][Defer[Int][x^2/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5]
- Log[28125])/14)), x]/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*
Log[5] - Log[28125])/14))), x] - 72*(24 + Log[5]*Log[9] - Log[791015625])*(4 + Log[9]^2 + Log[3]^2*(6 - Log[25
]) - Log[9]*Log[3125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[9] - Log[17597973346710
205078125]))*Defer[Int][Defer[Int][x^2/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[
28125])/14)), x]/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5]
- Log[28125])/14))), x] - 72*(2 - Log[5])*Defer[Int][Defer[Int][x^3/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) -
14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x], x] - 144*(2 - Log[5])*(7 - (Log[3]*(Log[3]*Log[5] - Log[5]*Log
[9] + Log[28125]))/Log[9])*Defer[Int][Defer[Int][x^3/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]
*Log[5] - Log[28125])/14)), x]/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - L
og[28125])/14)), x] - 72*(2 - Log[5])^2*Defer[Int][(x*Defer[Int][x^3/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) -
14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x])/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (
Log[3]*Log[5] - Log[28125])/14)), x] - 72*(2 - Log[5])*(4 + Log[9]^2 + Log[3]^2*(6 - Log[25]) - Log[9]*Log[312
5] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[9] - Log[17597973346710205078125]))*Defer[
Int][Defer[Int][x^3/(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x]/((
5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))
), x] - 72*(5 - Log[3])^4*(2 - Log[5])*Defer[Int][Defer[Int][1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2
+ Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x], x] - 72*(5 - Log[3])^2*(74 - 25*Log[5] - Log[3]^2
*Log[5] - Log[3]*(24 - Log[87890625]))*Defer[Int][Defer[Int][1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2
+ Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x], x] + 72*(5 - Log[3])^3*(24 + Log[5]*Log[9] - Log[
791015625])*Defer[Int][Defer[Int][1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3
]*Log[5] - Log[28125])/14))), x], x] + (144*(5 - Log[3])^2*(Log[3]^2*Log[5] - 7*Log[9] - Log[3]*(Log[5]*Log[9]
- Log[28125]))*(74 - 25*Log[5] - Log[3]^2*Log[5] - Log[3]*(24 - Log[87890625]))*Defer[Int][Defer[Int][1/((5 +
x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x]/(E^x*x +
5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x])/Log[9] + 144*(5 -
Log[3])^3*(7 + (Log[3]*(Log[3]*Log[5] - Log[28125]))/Log[9])*(24 + Log[5]*Log[9] - Log[791015625])*Defer[Int][
Defer[Int][1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/
14))), x]/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] -
72*(5 - Log[3])^4*(2 - Log[5])^2*Defer[Int][(x*Defer[Int][1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2 +
Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x])/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2)
- 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] - 72*(5 - Log[3])^2*(2 - Log[5])*(74 - 25*Log[5] - Log[3]^2*Lo
g[5] - Log[3]*(24 - Log[87890625]))*Defer[Int][(x*Defer[Int][1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2
+ Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x])/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2
) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x] + 72*(5 - Log[3])^3*(2 - Log[5])*(24 + Log[5]*Log[9] - Log[7
91015625])*Defer[Int][(x*Defer[Int][1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log
[3]*Log[5] - Log[28125])/14))), x])/(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5
] - Log[28125])/14)), x] - 72*(5 - Log[3])^4*(2 - Log[5])*(4 + Log[3]^2*(6 - Log[125]) - Log[729]*Log[3125] +
Log[9]*Log[28125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[27] - Log[1802032470703125]
))*Defer[Int][Defer[Int][1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5]
- Log[28125])/14))), x]/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]
*Log[5] - Log[28125])/14))), x] + 72*(5 - Log[3])^3*(24 + Log[5]*Log[9] - Log[791015625])*(4 + Log[3]^2*(6 - L
og[125]) - Log[729]*Log[3125] + Log[9]*Log[28125] + Log[25]*Log[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]
*Log[27] - Log[1802032470703125]))*Defer[Int][Defer[Int][1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2 + L
og[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x]/((5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*
(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x] - 72*(5 - Log[3])^2*(74 - 25*Log[5] - Log[3]^2
*Log[5] - Log[3]*(24 - Log[87890625]))*(4 + Log[9]^2 + Log[3]^2*(6 - Log[25]) - Log[9]*Log[3125] + Log[25]*Log
[59049] + Log[5]*Log[14348907] + Log[3]*(Log[5]*Log[9] - Log[17597973346710205078125]))*Defer[Int][Defer[Int][
1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x]/(
(5 + x - Log[3])*(E^x*x + 5*E^x*(1 - Log[3]/5) - 2*x*(1 - Log[5]/2) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14)
)), x] + (144*(5 - Log[3])^4*Log[3]^2*(2 - Log[5])*(28 + Log[5]*Log[9] - Log[791015625])*Defer[Int][Defer[Int]
[1/((5 + x - Log[3])*(E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - 14*(1 + (Log[3]*Log[5] - Log[28125])/14))), x]/
(-(E^x*x) - 5*E^x*(1 - Log[3]/5) + 2*x*(1 - Log[5]/2) + 14*(1 + (Log[3]*Log[5] - Log[28125])/14)), x])/Log[9]^
2

Rubi steps

Aborted

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Mathematica [B]  time = 0.51, size = 104, normalized size = 2.89 \begin {gather*} 18 \left (\frac {25 x^2}{2}-5 x^2 \log \left (\frac {\left (-14+e^x (5+x-\log (3))+x (-2+\log (5))-\log (3) \log (5)+\log (28125)\right )^2}{(5+x-\log (3))^2}\right )+\frac {1}{2} x^2 \log ^2\left (\frac {\left (-14+e^x (5+x-\log (3))+x (-2+\log (5))-\log (3) \log (5)+\log (28125)\right )^2}{(5+x-\log (3))^2}\right )\right ) \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[(-31500*x - 11520*x^2 - 900*x^3 + (10800*x + 1800*x^2)*Log[3] - 900*x*Log[3]^2 + E^x*(11250*x - 1350
*x^3 - 180*x^4 + (-4500*x + 900*x^2 + 360*x^3)*Log[3] + (450*x - 180*x^2)*Log[3]^2) + (11250*x + 4500*x^2 + 45
0*x^3 + (-4500*x - 900*x^2)*Log[3] + 450*x*Log[3]^2)*Log[5] + (12600*x + 4464*x^2 + 360*x^3 + (-4320*x - 720*x
^2)*Log[3] + 360*x*Log[3]^2 + E^x*(-4500*x - 900*x^2 + 180*x^3 + 36*x^4 + (1800*x - 72*x^3)*Log[3] + (-180*x +
36*x^2)*Log[3]^2) + (-4500*x - 1800*x^2 - 180*x^3 + (1800*x + 360*x^2)*Log[3] - 180*x*Log[3]^2)*Log[5])*Log[(
196 + 56*x + 4*x^2 + (-56 - 8*x)*Log[3] + 4*Log[3]^2 + E^(2*x)*(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^
2) + (-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2)*Log[5] + (25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + L
og[3]^2)*Log[5]^2 + E^x*(-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2 + (50 + 20*x + 2*x^2 + (-20 - 4*
x)*Log[3] + 2*Log[3]^2)*Log[5]))/(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)] + (-1260*x - 432*x^2 - 36*
x^3 + (432*x + 72*x^2)*Log[3] - 36*x*Log[3]^2 + E^x*(450*x + 180*x^2 + 18*x^3 + (-180*x - 36*x^2)*Log[3] + 18*
x*Log[3]^2) + (450*x + 180*x^2 + 18*x^3 + (-180*x - 36*x^2)*Log[3] + 18*x*Log[3]^2)*Log[5])*Log[(196 + 56*x +
4*x^2 + (-56 - 8*x)*Log[3] + 4*Log[3]^2 + E^(2*x)*(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2) + (-140 -
48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2)*Log[5] + (25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)*Log[
5]^2 + E^x*(-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2 + (50 + 20*x + 2*x^2 + (-20 - 4*x)*Log[3] + 2
*Log[3]^2)*Log[5]))/(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)]^2)/(-70 - 24*x - 2*x^2 + (24 + 4*x)*Log
[3] - 2*Log[3]^2 + E^x*(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2) + (25 + 10*x + x^2 + (-10 - 2*x)*Log[
3] + Log[3]^2)*Log[5]),x]

[Out]

18*((25*x^2)/2 - 5*x^2*Log[(-14 + E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - Log[3]*Log[5] + Log[28125])^2/(5 +
x - Log[3])^2] + (x^2*Log[(-14 + E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - Log[3]*Log[5] + Log[28125])^2/(5 + x
- Log[3])^2]^2)/2)

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fricas [B]  time = 0.90, size = 352, normalized size = 9.78 \begin {gather*} 9 \, x^{2} \log \left (\frac {{\left (x^{2} - 2 \, {\left (x + 5\right )} \log \relax (3) + \log \relax (3)^{2} + 10 \, x + 25\right )} \log \relax (5)^{2} + 4 \, x^{2} + {\left (x^{2} - 2 \, {\left (x + 5\right )} \log \relax (3) + \log \relax (3)^{2} + 10 \, x + 25\right )} e^{\left (2 \, x\right )} - 2 \, {\left (2 \, x^{2} - {\left (x^{2} - 2 \, {\left (x + 5\right )} \log \relax (3) + \log \relax (3)^{2} + 10 \, x + 25\right )} \log \relax (5) - 4 \, {\left (x + 6\right )} \log \relax (3) + 2 \, \log \relax (3)^{2} + 24 \, x + 70\right )} e^{x} - 4 \, {\left (x^{2} - 2 \, {\left (x + 6\right )} \log \relax (3) + \log \relax (3)^{2} + 12 \, x + 35\right )} \log \relax (5) - 8 \, {\left (x + 7\right )} \log \relax (3) + 4 \, \log \relax (3)^{2} + 56 \, x + 196}{x^{2} - 2 \, {\left (x + 5\right )} \log \relax (3) + \log \relax (3)^{2} + 10 \, x + 25}\right )^{2} - 90 \, x^{2} \log \left (\frac {{\left (x^{2} - 2 \, {\left (x + 5\right )} \log \relax (3) + \log \relax (3)^{2} + 10 \, x + 25\right )} \log \relax (5)^{2} + 4 \, x^{2} + {\left (x^{2} - 2 \, {\left (x + 5\right )} \log \relax (3) + \log \relax (3)^{2} + 10 \, x + 25\right )} e^{\left (2 \, x\right )} - 2 \, {\left (2 \, x^{2} - {\left (x^{2} - 2 \, {\left (x + 5\right )} \log \relax (3) + \log \relax (3)^{2} + 10 \, x + 25\right )} \log \relax (5) - 4 \, {\left (x + 6\right )} \log \relax (3) + 2 \, \log \relax (3)^{2} + 24 \, x + 70\right )} e^{x} - 4 \, {\left (x^{2} - 2 \, {\left (x + 6\right )} \log \relax (3) + \log \relax (3)^{2} + 12 \, x + 35\right )} \log \relax (5) - 8 \, {\left (x + 7\right )} \log \relax (3) + 4 \, \log \relax (3)^{2} + 56 \, x + 196}{x^{2} - 2 \, {\left (x + 5\right )} \log \relax (3) + \log \relax (3)^{2} + 10 \, x + 25}\right ) + 225 \, x^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((((18*x*log(3)^2+(-36*x^2-180*x)*log(3)+18*x^3+180*x^2+450*x)*exp(x)+(18*x*log(3)^2+(-36*x^2-180*x)*
log(3)+18*x^3+180*x^2+450*x)*log(5)-36*x*log(3)^2+(72*x^2+432*x)*log(3)-36*x^3-432*x^2-1260*x)*log(((log(3)^2+
(-2*x-10)*log(3)+x^2+10*x+25)*exp(x)^2+((2*log(3)^2+(-4*x-20)*log(3)+2*x^2+20*x+50)*log(5)-4*log(3)^2+(8*x+48)
*log(3)-4*x^2-48*x-140)*exp(x)+(log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*log(5)^2+(-4*log(3)^2+(8*x+48)*log(3)-4
*x^2-48*x-140)*log(5)+4*log(3)^2+(-8*x-56)*log(3)+4*x^2+56*x+196)/(log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25))^2+(
((36*x^2-180*x)*log(3)^2+(-72*x^3+1800*x)*log(3)+36*x^4+180*x^3-900*x^2-4500*x)*exp(x)+(-180*x*log(3)^2+(360*x
^2+1800*x)*log(3)-180*x^3-1800*x^2-4500*x)*log(5)+360*x*log(3)^2+(-720*x^2-4320*x)*log(3)+360*x^3+4464*x^2+126
00*x)*log(((log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*exp(x)^2+((2*log(3)^2+(-4*x-20)*log(3)+2*x^2+20*x+50)*log(5
)-4*log(3)^2+(8*x+48)*log(3)-4*x^2-48*x-140)*exp(x)+(log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*log(5)^2+(-4*log(3
)^2+(8*x+48)*log(3)-4*x^2-48*x-140)*log(5)+4*log(3)^2+(-8*x-56)*log(3)+4*x^2+56*x+196)/(log(3)^2+(-2*x-10)*log
(3)+x^2+10*x+25))+((-180*x^2+450*x)*log(3)^2+(360*x^3+900*x^2-4500*x)*log(3)-180*x^4-1350*x^3+11250*x)*exp(x)+
(450*x*log(3)^2+(-900*x^2-4500*x)*log(3)+450*x^3+4500*x^2+11250*x)*log(5)-900*x*log(3)^2+(1800*x^2+10800*x)*lo
g(3)-900*x^3-11520*x^2-31500*x)/((log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*exp(x)+(log(3)^2+(-2*x-10)*log(3)+x^2
+10*x+25)*log(5)-2*log(3)^2+(4*x+24)*log(3)-2*x^2-24*x-70),x, algorithm="fricas")

[Out]

9*x^2*log(((x^2 - 2*(x + 5)*log(3) + log(3)^2 + 10*x + 25)*log(5)^2 + 4*x^2 + (x^2 - 2*(x + 5)*log(3) + log(3)
^2 + 10*x + 25)*e^(2*x) - 2*(2*x^2 - (x^2 - 2*(x + 5)*log(3) + log(3)^2 + 10*x + 25)*log(5) - 4*(x + 6)*log(3)
+ 2*log(3)^2 + 24*x + 70)*e^x - 4*(x^2 - 2*(x + 6)*log(3) + log(3)^2 + 12*x + 35)*log(5) - 8*(x + 7)*log(3) +
4*log(3)^2 + 56*x + 196)/(x^2 - 2*(x + 5)*log(3) + log(3)^2 + 10*x + 25))^2 - 90*x^2*log(((x^2 - 2*(x + 5)*lo
g(3) + log(3)^2 + 10*x + 25)*log(5)^2 + 4*x^2 + (x^2 - 2*(x + 5)*log(3) + log(3)^2 + 10*x + 25)*e^(2*x) - 2*(2
*x^2 - (x^2 - 2*(x + 5)*log(3) + log(3)^2 + 10*x + 25)*log(5) - 4*(x + 6)*log(3) + 2*log(3)^2 + 24*x + 70)*e^x
- 4*(x^2 - 2*(x + 6)*log(3) + log(3)^2 + 12*x + 35)*log(5) - 8*(x + 7)*log(3) + 4*log(3)^2 + 56*x + 196)/(x^2
- 2*(x + 5)*log(3) + log(3)^2 + 10*x + 25)) + 225*x^2

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giac [F(-1)]  time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Timed out} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((((18*x*log(3)^2+(-36*x^2-180*x)*log(3)+18*x^3+180*x^2+450*x)*exp(x)+(18*x*log(3)^2+(-36*x^2-180*x)*
log(3)+18*x^3+180*x^2+450*x)*log(5)-36*x*log(3)^2+(72*x^2+432*x)*log(3)-36*x^3-432*x^2-1260*x)*log(((log(3)^2+
(-2*x-10)*log(3)+x^2+10*x+25)*exp(x)^2+((2*log(3)^2+(-4*x-20)*log(3)+2*x^2+20*x+50)*log(5)-4*log(3)^2+(8*x+48)
*log(3)-4*x^2-48*x-140)*exp(x)+(log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*log(5)^2+(-4*log(3)^2+(8*x+48)*log(3)-4
*x^2-48*x-140)*log(5)+4*log(3)^2+(-8*x-56)*log(3)+4*x^2+56*x+196)/(log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25))^2+(
((36*x^2-180*x)*log(3)^2+(-72*x^3+1800*x)*log(3)+36*x^4+180*x^3-900*x^2-4500*x)*exp(x)+(-180*x*log(3)^2+(360*x
^2+1800*x)*log(3)-180*x^3-1800*x^2-4500*x)*log(5)+360*x*log(3)^2+(-720*x^2-4320*x)*log(3)+360*x^3+4464*x^2+126
00*x)*log(((log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*exp(x)^2+((2*log(3)^2+(-4*x-20)*log(3)+2*x^2+20*x+50)*log(5
)-4*log(3)^2+(8*x+48)*log(3)-4*x^2-48*x-140)*exp(x)+(log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*log(5)^2+(-4*log(3
)^2+(8*x+48)*log(3)-4*x^2-48*x-140)*log(5)+4*log(3)^2+(-8*x-56)*log(3)+4*x^2+56*x+196)/(log(3)^2+(-2*x-10)*log
(3)+x^2+10*x+25))+((-180*x^2+450*x)*log(3)^2+(360*x^3+900*x^2-4500*x)*log(3)-180*x^4-1350*x^3+11250*x)*exp(x)+
(450*x*log(3)^2+(-900*x^2-4500*x)*log(3)+450*x^3+4500*x^2+11250*x)*log(5)-900*x*log(3)^2+(1800*x^2+10800*x)*lo
g(3)-900*x^3-11520*x^2-31500*x)/((log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*exp(x)+(log(3)^2+(-2*x-10)*log(3)+x^2
+10*x+25)*log(5)-2*log(3)^2+(4*x+24)*log(3)-2*x^2-24*x-70),x, algorithm="giac")

[Out]

Timed out

________________________________________________________________________________________

maple [C]  time = 1.22, size = 6974, normalized size = 193.72

method	result	size
risch	\(\text {Expression too large to display}\)	\(6974\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((((18*x*ln(3)^2+(-36*x^2-180*x)*ln(3)+18*x^3+180*x^2+450*x)*exp(x)+(18*x*ln(3)^2+(-36*x^2-180*x)*ln(3)+18*
x^3+180*x^2+450*x)*ln(5)-36*x*ln(3)^2+(72*x^2+432*x)*ln(3)-36*x^3-432*x^2-1260*x)*ln(((ln(3)^2+(-2*x-10)*ln(3)
+x^2+10*x+25)*exp(x)^2+((2*ln(3)^2+(-4*x-20)*ln(3)+2*x^2+20*x+50)*ln(5)-4*ln(3)^2+(8*x+48)*ln(3)-4*x^2-48*x-14
0)*exp(x)+(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25)*ln(5)^2+(-4*ln(3)^2+(8*x+48)*ln(3)-4*x^2-48*x-140)*ln(5)+4*ln(
3)^2+(-8*x-56)*ln(3)+4*x^2+56*x+196)/(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25))^2+(((36*x^2-180*x)*ln(3)^2+(-72*x^
3+1800*x)*ln(3)+36*x^4+180*x^3-900*x^2-4500*x)*exp(x)+(-180*x*ln(3)^2+(360*x^2+1800*x)*ln(3)-180*x^3-1800*x^2-
4500*x)*ln(5)+360*x*ln(3)^2+(-720*x^2-4320*x)*ln(3)+360*x^3+4464*x^2+12600*x)*ln(((ln(3)^2+(-2*x-10)*ln(3)+x^2
+10*x+25)*exp(x)^2+((2*ln(3)^2+(-4*x-20)*ln(3)+2*x^2+20*x+50)*ln(5)-4*ln(3)^2+(8*x+48)*ln(3)-4*x^2-48*x-140)*e
xp(x)+(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25)*ln(5)^2+(-4*ln(3)^2+(8*x+48)*ln(3)-4*x^2-48*x-140)*ln(5)+4*ln(3)^2
+(-8*x-56)*ln(3)+4*x^2+56*x+196)/(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25))+((-180*x^2+450*x)*ln(3)^2+(360*x^3+900
*x^2-4500*x)*ln(3)-180*x^4-1350*x^3+11250*x)*exp(x)+(450*x*ln(3)^2+(-900*x^2-4500*x)*ln(3)+450*x^3+4500*x^2+11
250*x)*ln(5)-900*x*ln(3)^2+(1800*x^2+10800*x)*ln(3)-900*x^3-11520*x^2-31500*x)/((ln(3)^2+(-2*x-10)*ln(3)+x^2+1
0*x+25)*exp(x)+(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25)*ln(5)-2*ln(3)^2+(4*x+24)*ln(3)-2*x^2-24*x-70),x,method=_R
ETURNVERBOSE)

[Out]

result too large to display

________________________________________________________________________________________

maxima [B]  time = 0.63, size = 124, normalized size = 3.44 \begin {gather*} 36 \, x^{2} \log \left (x {\left (\log \relax (5) - 2\right )} + {\left (x - \log \relax (3) + 5\right )} e^{x} - {\left (\log \relax (3) - 5\right )} \log \relax (5) + 2 \, \log \relax (3) - 14\right )^{2} + 36 \, x^{2} \log \left (x - \log \relax (3) + 5\right )^{2} + 180 \, x^{2} \log \left (x - \log \relax (3) + 5\right ) + 225 \, x^{2} - 36 \, {\left (2 \, x^{2} \log \left (x - \log \relax (3) + 5\right ) + 5 \, x^{2}\right )} \log \left (x {\left (\log \relax (5) - 2\right )} + {\left (x - \log \relax (3) + 5\right )} e^{x} - {\left (\log \relax (3) - 5\right )} \log \relax (5) + 2 \, \log \relax (3) - 14\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((((18*x*log(3)^2+(-36*x^2-180*x)*log(3)+18*x^3+180*x^2+450*x)*exp(x)+(18*x*log(3)^2+(-36*x^2-180*x)*
log(3)+18*x^3+180*x^2+450*x)*log(5)-36*x*log(3)^2+(72*x^2+432*x)*log(3)-36*x^3-432*x^2-1260*x)*log(((log(3)^2+
(-2*x-10)*log(3)+x^2+10*x+25)*exp(x)^2+((2*log(3)^2+(-4*x-20)*log(3)+2*x^2+20*x+50)*log(5)-4*log(3)^2+(8*x+48)
*log(3)-4*x^2-48*x-140)*exp(x)+(log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*log(5)^2+(-4*log(3)^2+(8*x+48)*log(3)-4
*x^2-48*x-140)*log(5)+4*log(3)^2+(-8*x-56)*log(3)+4*x^2+56*x+196)/(log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25))^2+(
((36*x^2-180*x)*log(3)^2+(-72*x^3+1800*x)*log(3)+36*x^4+180*x^3-900*x^2-4500*x)*exp(x)+(-180*x*log(3)^2+(360*x
^2+1800*x)*log(3)-180*x^3-1800*x^2-4500*x)*log(5)+360*x*log(3)^2+(-720*x^2-4320*x)*log(3)+360*x^3+4464*x^2+126
00*x)*log(((log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*exp(x)^2+((2*log(3)^2+(-4*x-20)*log(3)+2*x^2+20*x+50)*log(5
)-4*log(3)^2+(8*x+48)*log(3)-4*x^2-48*x-140)*exp(x)+(log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*log(5)^2+(-4*log(3
)^2+(8*x+48)*log(3)-4*x^2-48*x-140)*log(5)+4*log(3)^2+(-8*x-56)*log(3)+4*x^2+56*x+196)/(log(3)^2+(-2*x-10)*log
(3)+x^2+10*x+25))+((-180*x^2+450*x)*log(3)^2+(360*x^3+900*x^2-4500*x)*log(3)-180*x^4-1350*x^3+11250*x)*exp(x)+
(450*x*log(3)^2+(-900*x^2-4500*x)*log(3)+450*x^3+4500*x^2+11250*x)*log(5)-900*x*log(3)^2+(1800*x^2+10800*x)*lo
g(3)-900*x^3-11520*x^2-31500*x)/((log(3)^2+(-2*x-10)*log(3)+x^2+10*x+25)*exp(x)+(log(3)^2+(-2*x-10)*log(3)+x^2
+10*x+25)*log(5)-2*log(3)^2+(4*x+24)*log(3)-2*x^2-24*x-70),x, algorithm="maxima")

[Out]

36*x^2*log(x*(log(5) - 2) + (x - log(3) + 5)*e^x - (log(3) - 5)*log(5) + 2*log(3) - 14)^2 + 36*x^2*log(x - log
(3) + 5)^2 + 180*x^2*log(x - log(3) + 5) + 225*x^2 - 36*(2*x^2*log(x - log(3) + 5) + 5*x^2)*log(x*(log(5) - 2)
+ (x - log(3) + 5)*e^x - (log(3) - 5)*log(5) + 2*log(3) - 14)

________________________________________________________________________________________

mupad [F]  time = 0.00, size = -1, normalized size = -0.03 result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((31500*x + log((56*x - log(3)*(8*x + 56) + log(5)^2*(10*x - log(3)*(2*x + 10) + log(3)^2 + x^2 + 25) - exp
(x)*(48*x - log(3)*(8*x + 48) - log(5)*(20*x - log(3)*(4*x + 20) + 2*log(3)^2 + 2*x^2 + 50) + 4*log(3)^2 + 4*x
^2 + 140) - log(5)*(48*x - log(3)*(8*x + 48) + 4*log(3)^2 + 4*x^2 + 140) + exp(2*x)*(10*x - log(3)*(2*x + 10)
+ log(3)^2 + x^2 + 25) + 4*log(3)^2 + 4*x^2 + 196)/(10*x - log(3)*(2*x + 10) + log(3)^2 + x^2 + 25))^2*(1260*x
- log(3)*(432*x + 72*x^2) - log(5)*(450*x - log(3)*(180*x + 36*x^2) + 18*x*log(3)^2 + 180*x^2 + 18*x^3) + 36*
x*log(3)^2 - exp(x)*(450*x - log(3)*(180*x + 36*x^2) + 18*x*log(3)^2 + 180*x^2 + 18*x^3) + 432*x^2 + 36*x^3) -
log(3)*(10800*x + 1800*x^2) - log(5)*(11250*x - log(3)*(4500*x + 900*x^2) + 450*x*log(3)^2 + 4500*x^2 + 450*x
^3) + 900*x*log(3)^2 + 11520*x^2 + 900*x^3 - log((56*x - log(3)*(8*x + 56) + log(5)^2*(10*x - log(3)*(2*x + 10
) + log(3)^2 + x^2 + 25) - exp(x)*(48*x - log(3)*(8*x + 48) - log(5)*(20*x - log(3)*(4*x + 20) + 2*log(3)^2 +
2*x^2 + 50) + 4*log(3)^2 + 4*x^2 + 140) - log(5)*(48*x - log(3)*(8*x + 48) + 4*log(3)^2 + 4*x^2 + 140) + exp(2
*x)*(10*x - log(3)*(2*x + 10) + log(3)^2 + x^2 + 25) + 4*log(3)^2 + 4*x^2 + 196)/(10*x - log(3)*(2*x + 10) + l
og(3)^2 + x^2 + 25))*(12600*x - log(3)*(4320*x + 720*x^2) - log(5)*(4500*x - log(3)*(1800*x + 360*x^2) + 180*x
*log(3)^2 + 1800*x^2 + 180*x^3) + 360*x*log(3)^2 + 4464*x^2 + 360*x^3 - exp(x)*(4500*x - log(3)*(1800*x - 72*x
^3) + log(3)^2*(180*x - 36*x^2) + 900*x^2 - 180*x^3 - 36*x^4)) - exp(x)*(11250*x + log(3)*(900*x^2 - 4500*x +
360*x^3) + log(3)^2*(450*x - 180*x^2) - 1350*x^3 - 180*x^4))/(24*x - log(3)*(4*x + 24) - exp(x)*(10*x - log(3)
*(2*x + 10) + log(3)^2 + x^2 + 25) - log(5)*(10*x - log(3)*(2*x + 10) + log(3)^2 + x^2 + 25) + 2*log(3)^2 + 2*
x^2 + 70),x)

[Out]

int((31500*x + log((56*x - log(3)*(8*x + 56) + log(5)^2*(10*x - log(3)*(2*x + 10) + log(3)^2 + x^2 + 25) - exp
(x)*(48*x - log(3)*(8*x + 48) - log(5)*(20*x - log(3)*(4*x + 20) + 2*log(3)^2 + 2*x^2 + 50) + 4*log(3)^2 + 4*x
^2 + 140) - log(5)*(48*x - log(3)*(8*x + 48) + 4*log(3)^2 + 4*x^2 + 140) + exp(2*x)*(10*x - log(3)*(2*x + 10)
+ log(3)^2 + x^2 + 25) + 4*log(3)^2 + 4*x^2 + 196)/(10*x - log(3)*(2*x + 10) + log(3)^2 + x^2 + 25))^2*(1260*x
- log(3)*(432*x + 72*x^2) - log(5)*(450*x - log(3)*(180*x + 36*x^2) + 18*x*log(3)^2 + 180*x^2 + 18*x^3) + 36*
x*log(3)^2 - exp(x)*(450*x - log(3)*(180*x + 36*x^2) + 18*x*log(3)^2 + 180*x^2 + 18*x^3) + 432*x^2 + 36*x^3) -
log(3)*(10800*x + 1800*x^2) - log(5)*(11250*x - log(3)*(4500*x + 900*x^2) + 450*x*log(3)^2 + 4500*x^2 + 450*x
^3) + 900*x*log(3)^2 + 11520*x^2 + 900*x^3 - log((56*x - log(3)*(8*x + 56) + log(5)^2*(10*x - log(3)*(2*x + 10
) + log(3)^2 + x^2 + 25) - exp(x)*(48*x - log(3)*(8*x + 48) - log(5)*(20*x - log(3)*(4*x + 20) + 2*log(3)^2 +
2*x^2 + 50) + 4*log(3)^2 + 4*x^2 + 140) - log(5)*(48*x - log(3)*(8*x + 48) + 4*log(3)^2 + 4*x^2 + 140) + exp(2
*x)*(10*x - log(3)*(2*x + 10) + log(3)^2 + x^2 + 25) + 4*log(3)^2 + 4*x^2 + 196)/(10*x - log(3)*(2*x + 10) + l
og(3)^2 + x^2 + 25))*(12600*x - log(3)*(4320*x + 720*x^2) - log(5)*(4500*x - log(3)*(1800*x + 360*x^2) + 180*x
*log(3)^2 + 1800*x^2 + 180*x^3) + 360*x*log(3)^2 + 4464*x^2 + 360*x^3 - exp(x)*(4500*x - log(3)*(1800*x - 72*x
^3) + log(3)^2*(180*x - 36*x^2) + 900*x^2 - 180*x^3 - 36*x^4)) - exp(x)*(11250*x + log(3)*(900*x^2 - 4500*x +
360*x^3) + log(3)^2*(450*x - 180*x^2) - 1350*x^3 - 180*x^4))/(24*x - log(3)*(4*x + 24) - exp(x)*(10*x - log(3)
*(2*x + 10) + log(3)^2 + x^2 + 25) - log(5)*(10*x - log(3)*(2*x + 10) + log(3)^2 + x^2 + 25) + 2*log(3)^2 + 2*
x^2 + 70), x)

________________________________________________________________________________________

sympy [B]  time = 4.26, size = 413, normalized size = 11.47 \begin {gather*} 9 x^{2} \log {\left (\frac {4 x^{2} + 56 x + \left (- 8 x - 56\right ) \log {\relax (3 )} + \left (- 4 x^{2} - 48 x + \left (8 x + 48\right ) \log {\relax (3 )} - 140 - 4 \log {\relax (3 )}^{2}\right ) \log {\relax (5 )} + \left (x^{2} + 10 x + \left (- 2 x - 10\right ) \log {\relax (3 )} + \log {\relax (3 )}^{2} + 25\right ) e^{2 x} + \left (x^{2} + 10 x + \left (- 2 x - 10\right ) \log {\relax (3 )} + \log {\relax (3 )}^{2} + 25\right ) \log {\relax (5 )}^{2} + \left (- 4 x^{2} - 48 x + \left (8 x + 48\right ) \log {\relax (3 )} + \left (2 x^{2} + 20 x + \left (- 4 x - 20\right ) \log {\relax (3 )} + 2 \log {\relax (3 )}^{2} + 50\right ) \log {\relax (5 )} - 140 - 4 \log {\relax (3 )}^{2}\right ) e^{x} + 4 \log {\relax (3 )}^{2} + 196}{x^{2} + 10 x + \left (- 2 x - 10\right ) \log {\relax (3 )} + \log {\relax (3 )}^{2} + 25} \right )}^{2} - 90 x^{2} \log {\left (\frac {4 x^{2} + 56 x + \left (- 8 x - 56\right ) \log {\relax (3 )} + \left (- 4 x^{2} - 48 x + \left (8 x + 48\right ) \log {\relax (3 )} - 140 - 4 \log {\relax (3 )}^{2}\right ) \log {\relax (5 )} + \left (x^{2} + 10 x + \left (- 2 x - 10\right ) \log {\relax (3 )} + \log {\relax (3 )}^{2} + 25\right ) e^{2 x} + \left (x^{2} + 10 x + \left (- 2 x - 10\right ) \log {\relax (3 )} + \log {\relax (3 )}^{2} + 25\right ) \log {\relax (5 )}^{2} + \left (- 4 x^{2} - 48 x + \left (8 x + 48\right ) \log {\relax (3 )} + \left (2 x^{2} + 20 x + \left (- 4 x - 20\right ) \log {\relax (3 )} + 2 \log {\relax (3 )}^{2} + 50\right ) \log {\relax (5 )} - 140 - 4 \log {\relax (3 )}^{2}\right ) e^{x} + 4 \log {\relax (3 )}^{2} + 196}{x^{2} + 10 x + \left (- 2 x - 10\right ) \log {\relax (3 )} + \log {\relax (3 )}^{2} + 25} \right )} + 225 x^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((((18*x*ln(3)**2+(-36*x**2-180*x)*ln(3)+18*x**3+180*x**2+450*x)*exp(x)+(18*x*ln(3)**2+(-36*x**2-180*
x)*ln(3)+18*x**3+180*x**2+450*x)*ln(5)-36*x*ln(3)**2+(72*x**2+432*x)*ln(3)-36*x**3-432*x**2-1260*x)*ln(((ln(3)
**2+(-2*x-10)*ln(3)+x**2+10*x+25)*exp(x)**2+((2*ln(3)**2+(-4*x-20)*ln(3)+2*x**2+20*x+50)*ln(5)-4*ln(3)**2+(8*x
+48)*ln(3)-4*x**2-48*x-140)*exp(x)+(ln(3)**2+(-2*x-10)*ln(3)+x**2+10*x+25)*ln(5)**2+(-4*ln(3)**2+(8*x+48)*ln(3
)-4*x**2-48*x-140)*ln(5)+4*ln(3)**2+(-8*x-56)*ln(3)+4*x**2+56*x+196)/(ln(3)**2+(-2*x-10)*ln(3)+x**2+10*x+25))*
*2+(((36*x**2-180*x)*ln(3)**2+(-72*x**3+1800*x)*ln(3)+36*x**4+180*x**3-900*x**2-4500*x)*exp(x)+(-180*x*ln(3)**
2+(360*x**2+1800*x)*ln(3)-180*x**3-1800*x**2-4500*x)*ln(5)+360*x*ln(3)**2+(-720*x**2-4320*x)*ln(3)+360*x**3+44
64*x**2+12600*x)*ln(((ln(3)**2+(-2*x-10)*ln(3)+x**2+10*x+25)*exp(x)**2+((2*ln(3)**2+(-4*x-20)*ln(3)+2*x**2+20*
x+50)*ln(5)-4*ln(3)**2+(8*x+48)*ln(3)-4*x**2-48*x-140)*exp(x)+(ln(3)**2+(-2*x-10)*ln(3)+x**2+10*x+25)*ln(5)**2
+(-4*ln(3)**2+(8*x+48)*ln(3)-4*x**2-48*x-140)*ln(5)+4*ln(3)**2+(-8*x-56)*ln(3)+4*x**2+56*x+196)/(ln(3)**2+(-2*
x-10)*ln(3)+x**2+10*x+25))+((-180*x**2+450*x)*ln(3)**2+(360*x**3+900*x**2-4500*x)*ln(3)-180*x**4-1350*x**3+112
50*x)*exp(x)+(450*x*ln(3)**2+(-900*x**2-4500*x)*ln(3)+450*x**3+4500*x**2+11250*x)*ln(5)-900*x*ln(3)**2+(1800*x
**2+10800*x)*ln(3)-900*x**3-11520*x**2-31500*x)/((ln(3)**2+(-2*x-10)*ln(3)+x**2+10*x+25)*exp(x)+(ln(3)**2+(-2*
x-10)*ln(3)+x**2+10*x+25)*ln(5)-2*ln(3)**2+(4*x+24)*ln(3)-2*x**2-24*x-70),x)

[Out]

9*x**2*log((4*x**2 + 56*x + (-8*x - 56)*log(3) + (-4*x**2 - 48*x + (8*x + 48)*log(3) - 140 - 4*log(3)**2)*log(
5) + (x**2 + 10*x + (-2*x - 10)*log(3) + log(3)**2 + 25)*exp(2*x) + (x**2 + 10*x + (-2*x - 10)*log(3) + log(3)
**2 + 25)*log(5)**2 + (-4*x**2 - 48*x + (8*x + 48)*log(3) + (2*x**2 + 20*x + (-4*x - 20)*log(3) + 2*log(3)**2
+ 50)*log(5) - 140 - 4*log(3)**2)*exp(x) + 4*log(3)**2 + 196)/(x**2 + 10*x + (-2*x - 10)*log(3) + log(3)**2 +
25))**2 - 90*x**2*log((4*x**2 + 56*x + (-8*x - 56)*log(3) + (-4*x**2 - 48*x + (8*x + 48)*log(3) - 140 - 4*log(
3)**2)*log(5) + (x**2 + 10*x + (-2*x - 10)*log(3) + log(3)**2 + 25)*exp(2*x) + (x**2 + 10*x + (-2*x - 10)*log(
3) + log(3)**2 + 25)*log(5)**2 + (-4*x**2 - 48*x + (8*x + 48)*log(3) + (2*x**2 + 20*x + (-4*x - 20)*log(3) + 2
*log(3)**2 + 50)*log(5) - 140 - 4*log(3)**2)*exp(x) + 4*log(3)**2 + 196)/(x**2 + 10*x + (-2*x - 10)*log(3) + l
og(3)**2 + 25)) + 225*x**2

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