3.98.10 \(\int \frac {-26244+13122 e^{10}-26244 x+7776 x^2+62208 x^3+174960 x^4+209952 x^5+91854 x^6+e^5 (-23328 x-104976 x^2-104976 x^3)+e^{4 x} (486 x^2+648 x^3)+e^{3 x} (-3888 x^2-11664 x^3-5832 x^4)+(-26244 e^5+23328 x+104976 x^2+104976 x^3) \log (3)+13122 \log ^2(3)+e^{2 x} (11664 x^2+54432 x^3+67068 x^4+17496 x^5+e^5 (-5832 x-5832 x^2)+(5832 x+5832 x^2) \log (3))+e^x (-15552 x^2-98496 x^3-198288 x^4-139968 x^5-17496 x^6+e^5 (23328 x+64152 x^2+17496 x^3)+(-23328 x-64152 x^2-17496 x^3) \log (3))}{26244 x^2+6561 e^{20} x^2+26244 x^3+1377 x^4-33696 x^5-85280 x^6+e^{8 x} x^6-101904 x^7-45108 x^8+35262 x^9+90720 x^{10}+108864 x^{11}+81648 x^{12}+34992 x^{13}+6561 x^{14}+e^{15} (-11664 x^3-34992 x^4-26244 x^5)+e^{7 x} (-16 x^6-24 x^7)+e^{10} (-26244 x^2-13122 x^3+7776 x^4+46656 x^5+104976 x^6+104976 x^7+39366 x^8)+e^5 (23328 x^3+81648 x^4+85176 x^5+5508 x^6-77760 x^7-155520 x^8-174960 x^9-104976 x^{10}-26244 x^{11})+(-26244 e^{15} x^2-23328 x^3-81648 x^4-85176 x^5-5508 x^6+77760 x^7+155520 x^8+174960 x^9+104976 x^{10}+26244 x^{11}+e^{10} (34992 x^3+104976 x^4+78732 x^5)+e^5 (52488 x^2+26244 x^3-15552 x^4-93312 x^5-209952 x^6-209952 x^7-78732 x^8)) \log (3)+(-26244 x^2+39366 e^{10} x^2-13122 x^3+7776 x^4+46656 x^5+104976 x^6+104976 x^7+39366 x^8+e^5 (-34992 x^3-104976 x^4-78732 x^5)) \log ^2(3)+(-26244 e^5 x^2+11664 x^3+34992 x^4+26244 x^5) \log ^3(3)+6561 x^2 \log ^4(3)+e^{6 x} (-36 e^5 x^5+112 x^6+336 x^7+252 x^8+36 x^5 \log (3))+e^{5 x} (-448 x^6-2016 x^7-3024 x^8-1512 x^9+e^5 (432 x^5+648 x^6)+(-432 x^5-648 x^6) \log (3))+e^{4 x} (-324 x^4+486 e^{10} x^4-162 x^5+1120 x^6+6720 x^7+15120 x^8+15120 x^9+5670 x^{10}+e^5 (-2160 x^5-6480 x^6-4860 x^7)+(-972 e^5 x^4+2160 x^5+6480 x^6+4860 x^7) \log (3)+486 x^4 \log ^2(3))+e^{3 x} (2592 x^4+5184 x^5+152 x^6-13440 x^7-40320 x^8-60480 x^9-45360 x^{10}-13608 x^{11}+e^{10} (-3888 x^4-5832 x^5)+e^5 (5760 x^5+25920 x^6+38880 x^7+19440 x^8)+(-5760 x^5-25920 x^6-38880 x^7-19440 x^8+e^5 (7776 x^4+11664 x^5)) \log (3)+(-3888 x^4-5832 x^5) \log ^2(3))+e^{2 x} (-2916 e^{15} x^3-7776 x^4-27216 x^5-27368 x^6+7380 x^7+60480 x^8+120960 x^9+136080 x^{10}+81648 x^{11}+20412 x^{12}+e^{10} (11664 x^4+34992 x^5+26244 x^6)+e^5 (5832 x^3+2916 x^4-8640 x^5-51840 x^6-116640 x^7-116640 x^8-43740 x^9)+(-5832 x^3+8748 e^{10} x^3-2916 x^4+8640 x^5+51840 x^6+116640 x^7+116640 x^8+43740 x^9+e^5 (-23328 x^4-69984 x^5-52488 x^6)) \log (3)+(-8748 e^5 x^3+11664 x^4+34992 x^5+26244 x^6) \log ^2(3)+2916 x^3 \log ^3(3))+e^x (10368 x^4+51840 x^5+92288 x^6+59232 x^7-30888 x^8-120960 x^9-181440 x^{10}-163296 x^{11}-81648 x^{12}-17496 x^{13}+e^{15} (11664 x^3+17496 x^4)+e^{10} (-15552 x^4-69984 x^5-104976 x^6-52488 x^7)+e^5 (-23328 x^3-46656 x^4-10584 x^5+51840 x^6+155520 x^7+233280 x^8+174960 x^9+52488 x^{10})+(23328 x^3+46656 x^4+10584 x^5-51840 x^6-155520 x^7-233280 x^8-174960 x^9-52488 x^{10}+e^{10} (-34992 x^3-52488 x^4)+e^5 (31104 x^4+139968 x^5+209952 x^6+104976 x^7)) \log (3)+(-15552 x^4-69984 x^5-104976 x^6-52488 x^7+e^5 (34992 x^3+52488 x^4)) \log ^2(3)+(-11664 x^3-17496 x^4) \log ^3(3))} \, dx\)
Optimal. Leaf size=39 \[ \frac {2}{x \left (2+x-\left (-e^5+\left (\frac {1}{3} \left (-2+e^x\right )-x\right )^2 x+\log (3)\right )^2\right )} \]
________________________________________________________________________________________
Rubi [F] time = 180.00, 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*} \text {\$Aborted} \end {gather*}
Verification is not applicable to the result.
[In]
Int[(-26244 + 13122*E^10 - 26244*x + 7776*x^2 + 62208*x^3 + 174960*x^4 + 209952*x^5 + 91854*x^6 + E^5*(-23328*
x - 104976*x^2 - 104976*x^3) + E^(4*x)*(486*x^2 + 648*x^3) + E^(3*x)*(-3888*x^2 - 11664*x^3 - 5832*x^4) + (-26
244*E^5 + 23328*x + 104976*x^2 + 104976*x^3)*Log[3] + 13122*Log[3]^2 + E^(2*x)*(11664*x^2 + 54432*x^3 + 67068*
x^4 + 17496*x^5 + E^5*(-5832*x - 5832*x^2) + (5832*x + 5832*x^2)*Log[3]) + E^x*(-15552*x^2 - 98496*x^3 - 19828
8*x^4 - 139968*x^5 - 17496*x^6 + E^5*(23328*x + 64152*x^2 + 17496*x^3) + (-23328*x - 64152*x^2 - 17496*x^3)*Lo
g[3]))/(26244*x^2 + 6561*E^20*x^2 + 26244*x^3 + 1377*x^4 - 33696*x^5 - 85280*x^6 + E^(8*x)*x^6 - 101904*x^7 -
45108*x^8 + 35262*x^9 + 90720*x^10 + 108864*x^11 + 81648*x^12 + 34992*x^13 + 6561*x^14 + E^15*(-11664*x^3 - 34
992*x^4 - 26244*x^5) + E^(7*x)*(-16*x^6 - 24*x^7) + E^10*(-26244*x^2 - 13122*x^3 + 7776*x^4 + 46656*x^5 + 1049
76*x^6 + 104976*x^7 + 39366*x^8) + E^5*(23328*x^3 + 81648*x^4 + 85176*x^5 + 5508*x^6 - 77760*x^7 - 155520*x^8
- 174960*x^9 - 104976*x^10 - 26244*x^11) + (-26244*E^15*x^2 - 23328*x^3 - 81648*x^4 - 85176*x^5 - 5508*x^6 + 7
7760*x^7 + 155520*x^8 + 174960*x^9 + 104976*x^10 + 26244*x^11 + E^10*(34992*x^3 + 104976*x^4 + 78732*x^5) + E^
5*(52488*x^2 + 26244*x^3 - 15552*x^4 - 93312*x^5 - 209952*x^6 - 209952*x^7 - 78732*x^8))*Log[3] + (-26244*x^2
+ 39366*E^10*x^2 - 13122*x^3 + 7776*x^4 + 46656*x^5 + 104976*x^6 + 104976*x^7 + 39366*x^8 + E^5*(-34992*x^3 -
104976*x^4 - 78732*x^5))*Log[3]^2 + (-26244*E^5*x^2 + 11664*x^3 + 34992*x^4 + 26244*x^5)*Log[3]^3 + 6561*x^2*L
og[3]^4 + E^(6*x)*(-36*E^5*x^5 + 112*x^6 + 336*x^7 + 252*x^8 + 36*x^5*Log[3]) + E^(5*x)*(-448*x^6 - 2016*x^7 -
3024*x^8 - 1512*x^9 + E^5*(432*x^5 + 648*x^6) + (-432*x^5 - 648*x^6)*Log[3]) + E^(4*x)*(-324*x^4 + 486*E^10*x
^4 - 162*x^5 + 1120*x^6 + 6720*x^7 + 15120*x^8 + 15120*x^9 + 5670*x^10 + E^5*(-2160*x^5 - 6480*x^6 - 4860*x^7)
+ (-972*E^5*x^4 + 2160*x^5 + 6480*x^6 + 4860*x^7)*Log[3] + 486*x^4*Log[3]^2) + E^(3*x)*(2592*x^4 + 5184*x^5 +
152*x^6 - 13440*x^7 - 40320*x^8 - 60480*x^9 - 45360*x^10 - 13608*x^11 + E^10*(-3888*x^4 - 5832*x^5) + E^5*(57
60*x^5 + 25920*x^6 + 38880*x^7 + 19440*x^8) + (-5760*x^5 - 25920*x^6 - 38880*x^7 - 19440*x^8 + E^5*(7776*x^4 +
11664*x^5))*Log[3] + (-3888*x^4 - 5832*x^5)*Log[3]^2) + E^(2*x)*(-2916*E^15*x^3 - 7776*x^4 - 27216*x^5 - 2736
8*x^6 + 7380*x^7 + 60480*x^8 + 120960*x^9 + 136080*x^10 + 81648*x^11 + 20412*x^12 + E^10*(11664*x^4 + 34992*x^
5 + 26244*x^6) + E^5*(5832*x^3 + 2916*x^4 - 8640*x^5 - 51840*x^6 - 116640*x^7 - 116640*x^8 - 43740*x^9) + (-58
32*x^3 + 8748*E^10*x^3 - 2916*x^4 + 8640*x^5 + 51840*x^6 + 116640*x^7 + 116640*x^8 + 43740*x^9 + E^5*(-23328*x
^4 - 69984*x^5 - 52488*x^6))*Log[3] + (-8748*E^5*x^3 + 11664*x^4 + 34992*x^5 + 26244*x^6)*Log[3]^2 + 2916*x^3*
Log[3]^3) + E^x*(10368*x^4 + 51840*x^5 + 92288*x^6 + 59232*x^7 - 30888*x^8 - 120960*x^9 - 181440*x^10 - 163296
*x^11 - 81648*x^12 - 17496*x^13 + E^15*(11664*x^3 + 17496*x^4) + E^10*(-15552*x^4 - 69984*x^5 - 104976*x^6 - 5
2488*x^7) + E^5*(-23328*x^3 - 46656*x^4 - 10584*x^5 + 51840*x^6 + 155520*x^7 + 233280*x^8 + 174960*x^9 + 52488
*x^10) + (23328*x^3 + 46656*x^4 + 10584*x^5 - 51840*x^6 - 155520*x^7 - 233280*x^8 - 174960*x^9 - 52488*x^10 +
E^10*(-34992*x^3 - 52488*x^4) + E^5*(31104*x^4 + 139968*x^5 + 209952*x^6 + 104976*x^7))*Log[3] + (-15552*x^4 -
69984*x^5 - 104976*x^6 - 52488*x^7 + E^5*(34992*x^3 + 52488*x^4))*Log[3]^2 + (-11664*x^3 - 17496*x^4)*Log[3]^
3)),x]
[Out]
$Aborted
Rubi steps
Aborted
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Mathematica [F] time = 183.48, size = 0, normalized size = 0.00 \begin {gather*} \text {\$Aborted} \end {gather*}
Verification is not applicable to the result.
[In]
Integrate[(-26244 + 13122*E^10 - 26244*x + 7776*x^2 + 62208*x^3 + 174960*x^4 + 209952*x^5 + 91854*x^6 + E^5*(-
23328*x - 104976*x^2 - 104976*x^3) + E^(4*x)*(486*x^2 + 648*x^3) + E^(3*x)*(-3888*x^2 - 11664*x^3 - 5832*x^4)
+ (-26244*E^5 + 23328*x + 104976*x^2 + 104976*x^3)*Log[3] + 13122*Log[3]^2 + E^(2*x)*(11664*x^2 + 54432*x^3 +
67068*x^4 + 17496*x^5 + E^5*(-5832*x - 5832*x^2) + (5832*x + 5832*x^2)*Log[3]) + E^x*(-15552*x^2 - 98496*x^3 -
198288*x^4 - 139968*x^5 - 17496*x^6 + E^5*(23328*x + 64152*x^2 + 17496*x^3) + (-23328*x - 64152*x^2 - 17496*x
^3)*Log[3]))/(26244*x^2 + 6561*E^20*x^2 + 26244*x^3 + 1377*x^4 - 33696*x^5 - 85280*x^6 + E^(8*x)*x^6 - 101904*
x^7 - 45108*x^8 + 35262*x^9 + 90720*x^10 + 108864*x^11 + 81648*x^12 + 34992*x^13 + 6561*x^14 + E^15*(-11664*x^
3 - 34992*x^4 - 26244*x^5) + E^(7*x)*(-16*x^6 - 24*x^7) + E^10*(-26244*x^2 - 13122*x^3 + 7776*x^4 + 46656*x^5
+ 104976*x^6 + 104976*x^7 + 39366*x^8) + E^5*(23328*x^3 + 81648*x^4 + 85176*x^5 + 5508*x^6 - 77760*x^7 - 15552
0*x^8 - 174960*x^9 - 104976*x^10 - 26244*x^11) + (-26244*E^15*x^2 - 23328*x^3 - 81648*x^4 - 85176*x^5 - 5508*x
^6 + 77760*x^7 + 155520*x^8 + 174960*x^9 + 104976*x^10 + 26244*x^11 + E^10*(34992*x^3 + 104976*x^4 + 78732*x^5
) + E^5*(52488*x^2 + 26244*x^3 - 15552*x^4 - 93312*x^5 - 209952*x^6 - 209952*x^7 - 78732*x^8))*Log[3] + (-2624
4*x^2 + 39366*E^10*x^2 - 13122*x^3 + 7776*x^4 + 46656*x^5 + 104976*x^6 + 104976*x^7 + 39366*x^8 + E^5*(-34992*
x^3 - 104976*x^4 - 78732*x^5))*Log[3]^2 + (-26244*E^5*x^2 + 11664*x^3 + 34992*x^4 + 26244*x^5)*Log[3]^3 + 6561
*x^2*Log[3]^4 + E^(6*x)*(-36*E^5*x^5 + 112*x^6 + 336*x^7 + 252*x^8 + 36*x^5*Log[3]) + E^(5*x)*(-448*x^6 - 2016
*x^7 - 3024*x^8 - 1512*x^9 + E^5*(432*x^5 + 648*x^6) + (-432*x^5 - 648*x^6)*Log[3]) + E^(4*x)*(-324*x^4 + 486*
E^10*x^4 - 162*x^5 + 1120*x^6 + 6720*x^7 + 15120*x^8 + 15120*x^9 + 5670*x^10 + E^5*(-2160*x^5 - 6480*x^6 - 486
0*x^7) + (-972*E^5*x^4 + 2160*x^5 + 6480*x^6 + 4860*x^7)*Log[3] + 486*x^4*Log[3]^2) + E^(3*x)*(2592*x^4 + 5184
*x^5 + 152*x^6 - 13440*x^7 - 40320*x^8 - 60480*x^9 - 45360*x^10 - 13608*x^11 + E^10*(-3888*x^4 - 5832*x^5) + E
^5*(5760*x^5 + 25920*x^6 + 38880*x^7 + 19440*x^8) + (-5760*x^5 - 25920*x^6 - 38880*x^7 - 19440*x^8 + E^5*(7776
*x^4 + 11664*x^5))*Log[3] + (-3888*x^4 - 5832*x^5)*Log[3]^2) + E^(2*x)*(-2916*E^15*x^3 - 7776*x^4 - 27216*x^5
- 27368*x^6 + 7380*x^7 + 60480*x^8 + 120960*x^9 + 136080*x^10 + 81648*x^11 + 20412*x^12 + E^10*(11664*x^4 + 34
992*x^5 + 26244*x^6) + E^5*(5832*x^3 + 2916*x^4 - 8640*x^5 - 51840*x^6 - 116640*x^7 - 116640*x^8 - 43740*x^9)
+ (-5832*x^3 + 8748*E^10*x^3 - 2916*x^4 + 8640*x^5 + 51840*x^6 + 116640*x^7 + 116640*x^8 + 43740*x^9 + E^5*(-2
3328*x^4 - 69984*x^5 - 52488*x^6))*Log[3] + (-8748*E^5*x^3 + 11664*x^4 + 34992*x^5 + 26244*x^6)*Log[3]^2 + 291
6*x^3*Log[3]^3) + E^x*(10368*x^4 + 51840*x^5 + 92288*x^6 + 59232*x^7 - 30888*x^8 - 120960*x^9 - 181440*x^10 -
163296*x^11 - 81648*x^12 - 17496*x^13 + E^15*(11664*x^3 + 17496*x^4) + E^10*(-15552*x^4 - 69984*x^5 - 104976*x
^6 - 52488*x^7) + E^5*(-23328*x^3 - 46656*x^4 - 10584*x^5 + 51840*x^6 + 155520*x^7 + 233280*x^8 + 174960*x^9 +
52488*x^10) + (23328*x^3 + 46656*x^4 + 10584*x^5 - 51840*x^6 - 155520*x^7 - 233280*x^8 - 174960*x^9 - 52488*x
^10 + E^10*(-34992*x^3 - 52488*x^4) + E^5*(31104*x^4 + 139968*x^5 + 209952*x^6 + 104976*x^7))*Log[3] + (-15552
*x^4 - 69984*x^5 - 104976*x^6 - 52488*x^7 + E^5*(34992*x^3 + 52488*x^4))*Log[3]^2 + (-11664*x^3 - 17496*x^4)*L
og[3]^3)),x]
[Out]
$Aborted
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fricas [B] time = 1.13, size = 211, normalized size = 5.41 \begin {gather*} -\frac {162}{81 \, x^{7} + 216 \, x^{6} + 216 \, x^{5} + 96 \, x^{4} + x^{3} e^{\left (4 \, x\right )} + 16 \, x^{3} + 81 \, x \log \relax (3)^{2} - 81 \, x^{2} + 81 \, x e^{10} - 18 \, {\left (9 \, x^{4} + 12 \, x^{3} + 4 \, x^{2}\right )} e^{5} - 4 \, {\left (3 \, x^{4} + 2 \, x^{3}\right )} e^{\left (3 \, x\right )} + 6 \, {\left (9 \, x^{5} + 12 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} e^{5} + 3 \, x^{2} \log \relax (3)\right )} e^{\left (2 \, x\right )} - 4 \, {\left (27 \, x^{6} + 54 \, x^{5} + 36 \, x^{4} + 8 \, x^{3} - 9 \, {\left (3 \, x^{3} + 2 \, x^{2}\right )} e^{5} + 9 \, {\left (3 \, x^{3} + 2 \, x^{2}\right )} \log \relax (3)\right )} e^{x} + 18 \, {\left (9 \, x^{4} + 12 \, x^{3} + 4 \, x^{2} - 9 \, x e^{5}\right )} \log \relax (3) - 162 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate(((648*x^3+486*x^2)*exp(x)^4+(-5832*x^4-11664*x^3-3888*x^2)*exp(x)^3+((5832*x^2+5832*x)*log(3)+(-5832
*x^2-5832*x)*exp(5)+17496*x^5+67068*x^4+54432*x^3+11664*x^2)*exp(x)^2+((-17496*x^3-64152*x^2-23328*x)*log(3)+(
17496*x^3+64152*x^2+23328*x)*exp(5)-17496*x^6-139968*x^5-198288*x^4-98496*x^3-15552*x^2)*exp(x)+13122*log(3)^2
+(-26244*exp(5)+104976*x^3+104976*x^2+23328*x)*log(3)+13122*exp(5)^2+(-104976*x^3-104976*x^2-23328*x)*exp(5)+9
1854*x^6+209952*x^5+174960*x^4+62208*x^3+7776*x^2-26244*x-26244)/(1377*x^4+26244*x^3+26244*x^2-85280*x^6-33696
*x^5-101904*x^7-45108*x^8+90720*x^10+35262*x^9+108864*x^11+81648*x^12+34992*x^13+6561*x^14+6561*x^2*exp(5)^4+(
-24*x^7-16*x^6)*exp(x)^7+(36*x^5*log(3)-36*x^5*exp(5)+252*x^8+336*x^7+112*x^6)*exp(x)^6+((-648*x^6-432*x^5)*lo
g(3)+(648*x^6+432*x^5)*exp(5)-1512*x^9-3024*x^8-2016*x^7-448*x^6)*exp(x)^5+(486*x^4*log(3)^2+(-972*x^4*exp(5)+
4860*x^7+6480*x^6+2160*x^5)*log(3)+486*x^4*exp(5)^2+(-4860*x^7-6480*x^6-2160*x^5)*exp(5)+5670*x^10+15120*x^9+1
5120*x^8+6720*x^7+1120*x^6-162*x^5-324*x^4)*exp(x)^4+(-26244*x^2*exp(5)^3+(78732*x^5+104976*x^4+34992*x^3)*exp
(5)^2+(-78732*x^8-209952*x^7-209952*x^6-93312*x^5-15552*x^4+26244*x^3+52488*x^2)*exp(5)+26244*x^11+104976*x^10
+174960*x^9+155520*x^8+77760*x^7-5508*x^6-85176*x^5-81648*x^4-23328*x^3)*log(3)+(-26244*x^5-34992*x^4-11664*x^
3)*exp(5)^3+(39366*x^8+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*exp(5)^2+(-26244*x^11-104
976*x^10-174960*x^9-155520*x^8-77760*x^7+5508*x^6+85176*x^5+81648*x^4+23328*x^3)*exp(5)+((-5832*x^5-3888*x^4)*
log(3)^2+((11664*x^5+7776*x^4)*exp(5)-19440*x^8-38880*x^7-25920*x^6-5760*x^5)*log(3)+(-5832*x^5-3888*x^4)*exp(
5)^2+(19440*x^8+38880*x^7+25920*x^6+5760*x^5)*exp(5)-13608*x^11-45360*x^10-60480*x^9-40320*x^8-13440*x^7+152*x
^6+5184*x^5+2592*x^4)*exp(x)^3+(2916*x^3*log(3)^3+(-8748*x^3*exp(5)+26244*x^6+34992*x^5+11664*x^4)*log(3)^2+(8
748*x^3*exp(5)^2+(-52488*x^6-69984*x^5-23328*x^4)*exp(5)+43740*x^9+116640*x^8+116640*x^7+51840*x^6+8640*x^5-29
16*x^4-5832*x^3)*log(3)-2916*x^3*exp(5)^3+(26244*x^6+34992*x^5+11664*x^4)*exp(5)^2+(-43740*x^9-116640*x^8-1166
40*x^7-51840*x^6-8640*x^5+2916*x^4+5832*x^3)*exp(5)+20412*x^12+81648*x^11+136080*x^10+120960*x^9+60480*x^8+738
0*x^7-27368*x^6-27216*x^5-7776*x^4)*exp(x)^2+x^6*exp(x)^8+((-17496*x^4-11664*x^3)*log(3)^3+((52488*x^4+34992*x
^3)*exp(5)-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*log(3)^2+((-52488*x^4-34992*x^3)*exp(5)^2+(104976*x^7+209
952*x^6+139968*x^5+31104*x^4)*exp(5)-52488*x^10-174960*x^9-233280*x^8-155520*x^7-51840*x^6+10584*x^5+46656*x^4
+23328*x^3)*log(3)+(17496*x^4+11664*x^3)*exp(5)^3+(-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*exp(5)^2+(52488*
x^10+174960*x^9+233280*x^8+155520*x^7+51840*x^6-10584*x^5-46656*x^4-23328*x^3)*exp(5)-17496*x^13-81648*x^12-16
3296*x^11-181440*x^10-120960*x^9-30888*x^8+59232*x^7+92288*x^6+51840*x^5+10368*x^4)*exp(x)+(-26244*x^2*exp(5)+
26244*x^5+34992*x^4+11664*x^3)*log(3)^3+(39366*x^2*exp(5)^2+(-78732*x^5-104976*x^4-34992*x^3)*exp(5)+39366*x^8
+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*log(3)^2+6561*x^2*log(3)^4),x, algorithm="frica
s")
[Out]
-162/(81*x^7 + 216*x^6 + 216*x^5 + 96*x^4 + x^3*e^(4*x) + 16*x^3 + 81*x*log(3)^2 - 81*x^2 + 81*x*e^10 - 18*(9*
x^4 + 12*x^3 + 4*x^2)*e^5 - 4*(3*x^4 + 2*x^3)*e^(3*x) + 6*(9*x^5 + 12*x^4 + 4*x^3 - 3*x^2*e^5 + 3*x^2*log(3))*
e^(2*x) - 4*(27*x^6 + 54*x^5 + 36*x^4 + 8*x^3 - 9*(3*x^3 + 2*x^2)*e^5 + 9*(3*x^3 + 2*x^2)*log(3))*e^x + 18*(9*
x^4 + 12*x^3 + 4*x^2 - 9*x*e^5)*log(3) - 162*x)
________________________________________________________________________________________
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(((648*x^3+486*x^2)*exp(x)^4+(-5832*x^4-11664*x^3-3888*x^2)*exp(x)^3+((5832*x^2+5832*x)*log(3)+(-5832
*x^2-5832*x)*exp(5)+17496*x^5+67068*x^4+54432*x^3+11664*x^2)*exp(x)^2+((-17496*x^3-64152*x^2-23328*x)*log(3)+(
17496*x^3+64152*x^2+23328*x)*exp(5)-17496*x^6-139968*x^5-198288*x^4-98496*x^3-15552*x^2)*exp(x)+13122*log(3)^2
+(-26244*exp(5)+104976*x^3+104976*x^2+23328*x)*log(3)+13122*exp(5)^2+(-104976*x^3-104976*x^2-23328*x)*exp(5)+9
1854*x^6+209952*x^5+174960*x^4+62208*x^3+7776*x^2-26244*x-26244)/(1377*x^4+26244*x^3+26244*x^2-85280*x^6-33696
*x^5-101904*x^7-45108*x^8+90720*x^10+35262*x^9+108864*x^11+81648*x^12+34992*x^13+6561*x^14+6561*x^2*exp(5)^4+(
-24*x^7-16*x^6)*exp(x)^7+(36*x^5*log(3)-36*x^5*exp(5)+252*x^8+336*x^7+112*x^6)*exp(x)^6+((-648*x^6-432*x^5)*lo
g(3)+(648*x^6+432*x^5)*exp(5)-1512*x^9-3024*x^8-2016*x^7-448*x^6)*exp(x)^5+(486*x^4*log(3)^2+(-972*x^4*exp(5)+
4860*x^7+6480*x^6+2160*x^5)*log(3)+486*x^4*exp(5)^2+(-4860*x^7-6480*x^6-2160*x^5)*exp(5)+5670*x^10+15120*x^9+1
5120*x^8+6720*x^7+1120*x^6-162*x^5-324*x^4)*exp(x)^4+(-26244*x^2*exp(5)^3+(78732*x^5+104976*x^4+34992*x^3)*exp
(5)^2+(-78732*x^8-209952*x^7-209952*x^6-93312*x^5-15552*x^4+26244*x^3+52488*x^2)*exp(5)+26244*x^11+104976*x^10
+174960*x^9+155520*x^8+77760*x^7-5508*x^6-85176*x^5-81648*x^4-23328*x^3)*log(3)+(-26244*x^5-34992*x^4-11664*x^
3)*exp(5)^3+(39366*x^8+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*exp(5)^2+(-26244*x^11-104
976*x^10-174960*x^9-155520*x^8-77760*x^7+5508*x^6+85176*x^5+81648*x^4+23328*x^3)*exp(5)+((-5832*x^5-3888*x^4)*
log(3)^2+((11664*x^5+7776*x^4)*exp(5)-19440*x^8-38880*x^7-25920*x^6-5760*x^5)*log(3)+(-5832*x^5-3888*x^4)*exp(
5)^2+(19440*x^8+38880*x^7+25920*x^6+5760*x^5)*exp(5)-13608*x^11-45360*x^10-60480*x^9-40320*x^8-13440*x^7+152*x
^6+5184*x^5+2592*x^4)*exp(x)^3+(2916*x^3*log(3)^3+(-8748*x^3*exp(5)+26244*x^6+34992*x^5+11664*x^4)*log(3)^2+(8
748*x^3*exp(5)^2+(-52488*x^6-69984*x^5-23328*x^4)*exp(5)+43740*x^9+116640*x^8+116640*x^7+51840*x^6+8640*x^5-29
16*x^4-5832*x^3)*log(3)-2916*x^3*exp(5)^3+(26244*x^6+34992*x^5+11664*x^4)*exp(5)^2+(-43740*x^9-116640*x^8-1166
40*x^7-51840*x^6-8640*x^5+2916*x^4+5832*x^3)*exp(5)+20412*x^12+81648*x^11+136080*x^10+120960*x^9+60480*x^8+738
0*x^7-27368*x^6-27216*x^5-7776*x^4)*exp(x)^2+x^6*exp(x)^8+((-17496*x^4-11664*x^3)*log(3)^3+((52488*x^4+34992*x
^3)*exp(5)-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*log(3)^2+((-52488*x^4-34992*x^3)*exp(5)^2+(104976*x^7+209
952*x^6+139968*x^5+31104*x^4)*exp(5)-52488*x^10-174960*x^9-233280*x^8-155520*x^7-51840*x^6+10584*x^5+46656*x^4
+23328*x^3)*log(3)+(17496*x^4+11664*x^3)*exp(5)^3+(-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*exp(5)^2+(52488*
x^10+174960*x^9+233280*x^8+155520*x^7+51840*x^6-10584*x^5-46656*x^4-23328*x^3)*exp(5)-17496*x^13-81648*x^12-16
3296*x^11-181440*x^10-120960*x^9-30888*x^8+59232*x^7+92288*x^6+51840*x^5+10368*x^4)*exp(x)+(-26244*x^2*exp(5)+
26244*x^5+34992*x^4+11664*x^3)*log(3)^3+(39366*x^2*exp(5)^2+(-78732*x^5-104976*x^4-34992*x^3)*exp(5)+39366*x^8
+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*log(3)^2+6561*x^2*log(3)^4),x, algorithm="giac"
)
[Out]
Timed out
________________________________________________________________________________________
maple [B] time = 0.54, size = 223, normalized size = 5.72
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\(-\frac {162}{x \left (-162-81 x -12 x^{3} {\mathrm e}^{3 x}+108 x^{2} {\mathrm e}^{5+x}-108 x^{5} {\mathrm e}^{x}+216 x^{2} \ln \relax (3)+81 \,{\mathrm e}^{10}-72 x \,{\mathrm e}^{5}+81 \ln \relax (3)^{2}+81 x^{6}+216 x^{5}+216 x^{4}+96 x^{3}+16 x^{2}-8 x^{2} {\mathrm e}^{3 x}+72 \,{\mathrm e}^{2 x} x^{3}-216 x^{2} {\mathrm e}^{5}+24 \,{\mathrm e}^{2 x} x^{2}+162 x^{3} \ln \relax (3)+72 x \,{\mathrm e}^{5+x}-216 \,{\mathrm e}^{x} x^{4}+72 x \ln \relax (3)-32 \,{\mathrm e}^{x} x^{2}-144 \,{\mathrm e}^{x} x^{3}-162 x^{3} {\mathrm e}^{5}-108 x^{2} \ln \relax (3) {\mathrm e}^{x}-72 x \ln \relax (3) {\mathrm e}^{x}-162 \,{\mathrm e}^{5} \ln \relax (3)+x^{2} {\mathrm e}^{4 x}+18 \,{\mathrm e}^{2 x} \ln \relax (3) x -18 x \,{\mathrm e}^{5+2 x}+54 \,{\mathrm e}^{2 x} x^{4}\right )}\) |
\(223\) |
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Verification of antiderivative is not currently implemented for this CAS.
[In]
int(((648*x^3+486*x^2)*exp(x)^4+(-5832*x^4-11664*x^3-3888*x^2)*exp(x)^3+((5832*x^2+5832*x)*ln(3)+(-5832*x^2-58
32*x)*exp(5)+17496*x^5+67068*x^4+54432*x^3+11664*x^2)*exp(x)^2+((-17496*x^3-64152*x^2-23328*x)*ln(3)+(17496*x^
3+64152*x^2+23328*x)*exp(5)-17496*x^6-139968*x^5-198288*x^4-98496*x^3-15552*x^2)*exp(x)+13122*ln(3)^2+(-26244*
exp(5)+104976*x^3+104976*x^2+23328*x)*ln(3)+13122*exp(5)^2+(-104976*x^3-104976*x^2-23328*x)*exp(5)+91854*x^6+2
09952*x^5+174960*x^4+62208*x^3+7776*x^2-26244*x-26244)/(108864*x^11+81648*x^12+34992*x^13+6561*x^14-101904*x^7
-45108*x^8+90720*x^10+35262*x^9-85280*x^6-33696*x^5+1377*x^4+26244*x^3+26244*x^2+6561*x^2*exp(5)^4+(2916*x^3*l
n(3)^3+(-8748*x^3*exp(5)+26244*x^6+34992*x^5+11664*x^4)*ln(3)^2+(8748*x^3*exp(5)^2+(-52488*x^6-69984*x^5-23328
*x^4)*exp(5)+43740*x^9+116640*x^8+116640*x^7+51840*x^6+8640*x^5-2916*x^4-5832*x^3)*ln(3)-2916*x^3*exp(5)^3+(26
244*x^6+34992*x^5+11664*x^4)*exp(5)^2+(-43740*x^9-116640*x^8-116640*x^7-51840*x^6-8640*x^5+2916*x^4+5832*x^3)*
exp(5)+20412*x^12+81648*x^11+136080*x^10+120960*x^9+60480*x^8+7380*x^7-27368*x^6-27216*x^5-7776*x^4)*exp(x)^2+
x^6*exp(x)^8+(-24*x^7-16*x^6)*exp(x)^7+(36*x^5*ln(3)-36*x^5*exp(5)+252*x^8+336*x^7+112*x^6)*exp(x)^6+((-648*x^
6-432*x^5)*ln(3)+(648*x^6+432*x^5)*exp(5)-1512*x^9-3024*x^8-2016*x^7-448*x^6)*exp(x)^5+(486*x^4*ln(3)^2+(-972*
x^4*exp(5)+4860*x^7+6480*x^6+2160*x^5)*ln(3)+486*x^4*exp(5)^2+(-4860*x^7-6480*x^6-2160*x^5)*exp(5)+5670*x^10+1
5120*x^9+15120*x^8+6720*x^7+1120*x^6-162*x^5-324*x^4)*exp(x)^4+((-17496*x^4-11664*x^3)*ln(3)^3+((52488*x^4+349
92*x^3)*exp(5)-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*ln(3)^2+((-52488*x^4-34992*x^3)*exp(5)^2+(104976*x^7+
209952*x^6+139968*x^5+31104*x^4)*exp(5)-52488*x^10-174960*x^9-233280*x^8-155520*x^7-51840*x^6+10584*x^5+46656*
x^4+23328*x^3)*ln(3)+(17496*x^4+11664*x^3)*exp(5)^3+(-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*exp(5)^2+(5248
8*x^10+174960*x^9+233280*x^8+155520*x^7+51840*x^6-10584*x^5-46656*x^4-23328*x^3)*exp(5)-17496*x^13-81648*x^12-
163296*x^11-181440*x^10-120960*x^9-30888*x^8+59232*x^7+92288*x^6+51840*x^5+10368*x^4)*exp(x)+(-26244*x^2*exp(5
)+26244*x^5+34992*x^4+11664*x^3)*ln(3)^3+(39366*x^2*exp(5)^2+(-78732*x^5-104976*x^4-34992*x^3)*exp(5)+39366*x^
8+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*ln(3)^2+(-26244*x^2*exp(5)^3+(78732*x^5+104976
*x^4+34992*x^3)*exp(5)^2+(-78732*x^8-209952*x^7-209952*x^6-93312*x^5-15552*x^4+26244*x^3+52488*x^2)*exp(5)+262
44*x^11+104976*x^10+174960*x^9+155520*x^8+77760*x^7-5508*x^6-85176*x^5-81648*x^4-23328*x^3)*ln(3)+(-26244*x^5-
34992*x^4-11664*x^3)*exp(5)^3+(39366*x^8+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*exp(5)^
2+(-26244*x^11-104976*x^10-174960*x^9-155520*x^8-77760*x^7+5508*x^6+85176*x^5+81648*x^4+23328*x^3)*exp(5)+((-5
832*x^5-3888*x^4)*ln(3)^2+((11664*x^5+7776*x^4)*exp(5)-19440*x^8-38880*x^7-25920*x^6-5760*x^5)*ln(3)+(-5832*x^
5-3888*x^4)*exp(5)^2+(19440*x^8+38880*x^7+25920*x^6+5760*x^5)*exp(5)-13608*x^11-45360*x^10-60480*x^9-40320*x^8
-13440*x^7+152*x^6+5184*x^5+2592*x^4)*exp(x)^3+6561*x^2*ln(3)^4),x,method=_RETURNVERBOSE)
[Out]
-162/x/(-162-81*x-12*x^3*exp(3*x)+108*x^2*exp(5+x)-108*x^5*exp(x)+216*x^2*ln(3)+81*exp(10)-72*x*exp(5)+81*ln(3
)^2+81*x^6+216*x^5+216*x^4+96*x^3+16*x^2-8*x^2*exp(3*x)+72*exp(2*x)*x^3-216*x^2*exp(5)+24*exp(2*x)*x^2+162*x^3
*ln(3)+72*x*exp(5+x)-216*exp(x)*x^4+72*x*ln(3)-32*exp(x)*x^2-144*exp(x)*x^3-162*x^3*exp(5)-108*x^2*ln(3)*exp(x
)-72*x*ln(3)*exp(x)-162*exp(5)*ln(3)+x^2*exp(4*x)+18*exp(2*x)*ln(3)*x-18*x*exp(5+2*x)+54*exp(2*x)*x^4)
________________________________________________________________________________________
maxima [B] time = 19.96, size = 192, normalized size = 4.92 \begin {gather*} -\frac {162}{81 \, x^{7} + 216 \, x^{6} + 216 \, x^{5} - 6 \, x^{4} {\left (27 \, e^{5} - 27 \, \log \relax (3) - 16\right )} - 8 \, x^{3} {\left (27 \, e^{5} - 27 \, \log \relax (3) - 2\right )} + x^{3} e^{\left (4 \, x\right )} - 9 \, x^{2} {\left (8 \, e^{5} - 8 \, \log \relax (3) + 9\right )} - 81 \, {\left (2 \, e^{5} \log \relax (3) - \log \relax (3)^{2} - e^{10} + 2\right )} x - 4 \, {\left (3 \, x^{4} + 2 \, x^{3}\right )} e^{\left (3 \, x\right )} + 6 \, {\left (9 \, x^{5} + 12 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} {\left (e^{5} - \log \relax (3)\right )}\right )} e^{\left (2 \, x\right )} - 4 \, {\left (27 \, x^{6} + 54 \, x^{5} + 36 \, x^{4} - x^{3} {\left (27 \, e^{5} - 27 \, \log \relax (3) - 8\right )} - 18 \, x^{2} {\left (e^{5} - \log \relax (3)\right )}\right )} e^{x}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate(((648*x^3+486*x^2)*exp(x)^4+(-5832*x^4-11664*x^3-3888*x^2)*exp(x)^3+((5832*x^2+5832*x)*log(3)+(-5832
*x^2-5832*x)*exp(5)+17496*x^5+67068*x^4+54432*x^3+11664*x^2)*exp(x)^2+((-17496*x^3-64152*x^2-23328*x)*log(3)+(
17496*x^3+64152*x^2+23328*x)*exp(5)-17496*x^6-139968*x^5-198288*x^4-98496*x^3-15552*x^2)*exp(x)+13122*log(3)^2
+(-26244*exp(5)+104976*x^3+104976*x^2+23328*x)*log(3)+13122*exp(5)^2+(-104976*x^3-104976*x^2-23328*x)*exp(5)+9
1854*x^6+209952*x^5+174960*x^4+62208*x^3+7776*x^2-26244*x-26244)/(1377*x^4+26244*x^3+26244*x^2-85280*x^6-33696
*x^5-101904*x^7-45108*x^8+90720*x^10+35262*x^9+108864*x^11+81648*x^12+34992*x^13+6561*x^14+6561*x^2*exp(5)^4+(
-24*x^7-16*x^6)*exp(x)^7+(36*x^5*log(3)-36*x^5*exp(5)+252*x^8+336*x^7+112*x^6)*exp(x)^6+((-648*x^6-432*x^5)*lo
g(3)+(648*x^6+432*x^5)*exp(5)-1512*x^9-3024*x^8-2016*x^7-448*x^6)*exp(x)^5+(486*x^4*log(3)^2+(-972*x^4*exp(5)+
4860*x^7+6480*x^6+2160*x^5)*log(3)+486*x^4*exp(5)^2+(-4860*x^7-6480*x^6-2160*x^5)*exp(5)+5670*x^10+15120*x^9+1
5120*x^8+6720*x^7+1120*x^6-162*x^5-324*x^4)*exp(x)^4+(-26244*x^2*exp(5)^3+(78732*x^5+104976*x^4+34992*x^3)*exp
(5)^2+(-78732*x^8-209952*x^7-209952*x^6-93312*x^5-15552*x^4+26244*x^3+52488*x^2)*exp(5)+26244*x^11+104976*x^10
+174960*x^9+155520*x^8+77760*x^7-5508*x^6-85176*x^5-81648*x^4-23328*x^3)*log(3)+(-26244*x^5-34992*x^4-11664*x^
3)*exp(5)^3+(39366*x^8+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*exp(5)^2+(-26244*x^11-104
976*x^10-174960*x^9-155520*x^8-77760*x^7+5508*x^6+85176*x^5+81648*x^4+23328*x^3)*exp(5)+((-5832*x^5-3888*x^4)*
log(3)^2+((11664*x^5+7776*x^4)*exp(5)-19440*x^8-38880*x^7-25920*x^6-5760*x^5)*log(3)+(-5832*x^5-3888*x^4)*exp(
5)^2+(19440*x^8+38880*x^7+25920*x^6+5760*x^5)*exp(5)-13608*x^11-45360*x^10-60480*x^9-40320*x^8-13440*x^7+152*x
^6+5184*x^5+2592*x^4)*exp(x)^3+(2916*x^3*log(3)^3+(-8748*x^3*exp(5)+26244*x^6+34992*x^5+11664*x^4)*log(3)^2+(8
748*x^3*exp(5)^2+(-52488*x^6-69984*x^5-23328*x^4)*exp(5)+43740*x^9+116640*x^8+116640*x^7+51840*x^6+8640*x^5-29
16*x^4-5832*x^3)*log(3)-2916*x^3*exp(5)^3+(26244*x^6+34992*x^5+11664*x^4)*exp(5)^2+(-43740*x^9-116640*x^8-1166
40*x^7-51840*x^6-8640*x^5+2916*x^4+5832*x^3)*exp(5)+20412*x^12+81648*x^11+136080*x^10+120960*x^9+60480*x^8+738
0*x^7-27368*x^6-27216*x^5-7776*x^4)*exp(x)^2+x^6*exp(x)^8+((-17496*x^4-11664*x^3)*log(3)^3+((52488*x^4+34992*x
^3)*exp(5)-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*log(3)^2+((-52488*x^4-34992*x^3)*exp(5)^2+(104976*x^7+209
952*x^6+139968*x^5+31104*x^4)*exp(5)-52488*x^10-174960*x^9-233280*x^8-155520*x^7-51840*x^6+10584*x^5+46656*x^4
+23328*x^3)*log(3)+(17496*x^4+11664*x^3)*exp(5)^3+(-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*exp(5)^2+(52488*
x^10+174960*x^9+233280*x^8+155520*x^7+51840*x^6-10584*x^5-46656*x^4-23328*x^3)*exp(5)-17496*x^13-81648*x^12-16
3296*x^11-181440*x^10-120960*x^9-30888*x^8+59232*x^7+92288*x^6+51840*x^5+10368*x^4)*exp(x)+(-26244*x^2*exp(5)+
26244*x^5+34992*x^4+11664*x^3)*log(3)^3+(39366*x^2*exp(5)^2+(-78732*x^5-104976*x^4-34992*x^3)*exp(5)+39366*x^8
+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*log(3)^2+6561*x^2*log(3)^4),x, algorithm="maxim
a")
[Out]
-162/(81*x^7 + 216*x^6 + 216*x^5 - 6*x^4*(27*e^5 - 27*log(3) - 16) - 8*x^3*(27*e^5 - 27*log(3) - 2) + x^3*e^(4
*x) - 9*x^2*(8*e^5 - 8*log(3) + 9) - 81*(2*e^5*log(3) - log(3)^2 - e^10 + 2)*x - 4*(3*x^4 + 2*x^3)*e^(3*x) + 6
*(9*x^5 + 12*x^4 + 4*x^3 - 3*x^2*(e^5 - log(3)))*e^(2*x) - 4*(27*x^6 + 54*x^5 + 36*x^4 - x^3*(27*e^5 - 27*log(
3) - 8) - 18*x^2*(e^5 - log(3)))*e^x)
________________________________________________________________________________________
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((13122*exp(10) - 26244*x + log(3)*(23328*x - 26244*exp(5) + 104976*x^2 + 104976*x^3) + exp(2*x)*(log(3)*(5
832*x + 5832*x^2) - exp(5)*(5832*x + 5832*x^2) + 11664*x^2 + 54432*x^3 + 67068*x^4 + 17496*x^5) + exp(4*x)*(48
6*x^2 + 648*x^3) - exp(5)*(23328*x + 104976*x^2 + 104976*x^3) - exp(x)*(log(3)*(23328*x + 64152*x^2 + 17496*x^
3) - exp(5)*(23328*x + 64152*x^2 + 17496*x^3) + 15552*x^2 + 98496*x^3 + 198288*x^4 + 139968*x^5 + 17496*x^6) -
exp(3*x)*(3888*x^2 + 11664*x^3 + 5832*x^4) + 13122*log(3)^2 + 7776*x^2 + 62208*x^3 + 174960*x^4 + 209952*x^5
+ 91854*x^6 - 26244)/(6561*x^2*log(3)^4 - exp(5*x)*(log(3)*(432*x^5 + 648*x^6) - exp(5)*(432*x^5 + 648*x^6) +
448*x^6 + 2016*x^7 + 3024*x^8 + 1512*x^9) - exp(5)*(77760*x^7 - 81648*x^4 - 85176*x^5 - 5508*x^6 - 23328*x^3 +
155520*x^8 + 174960*x^9 + 104976*x^10 + 26244*x^11) - log(3)*(26244*x^2*exp(15) + exp(5)*(15552*x^4 - 26244*x
^3 - 52488*x^2 + 93312*x^5 + 209952*x^6 + 209952*x^7 + 78732*x^8) - exp(10)*(34992*x^3 + 104976*x^4 + 78732*x^
5) + 23328*x^3 + 81648*x^4 + 85176*x^5 + 5508*x^6 - 77760*x^7 - 155520*x^8 - 174960*x^9 - 104976*x^10 - 26244*
x^11) + exp(4*x)*(486*x^4*log(3)^2 + log(3)*(2160*x^5 - 972*x^4*exp(5) + 6480*x^6 + 4860*x^7) + 486*x^4*exp(10
) - exp(5)*(2160*x^5 + 6480*x^6 + 4860*x^7) - 324*x^4 - 162*x^5 + 1120*x^6 + 6720*x^7 + 15120*x^8 + 15120*x^9
+ 5670*x^10) - exp(7*x)*(16*x^6 + 24*x^7) + log(3)^2*(39366*x^2*exp(10) - exp(5)*(34992*x^3 + 104976*x^4 + 787
32*x^5) - 26244*x^2 - 13122*x^3 + 7776*x^4 + 46656*x^5 + 104976*x^6 + 104976*x^7 + 39366*x^8) + x^6*exp(8*x) -
exp(x)*(log(3)*(exp(10)*(34992*x^3 + 52488*x^4) - 23328*x^3 - 46656*x^4 - 10584*x^5 + 51840*x^6 + 155520*x^7
+ 233280*x^8 + 174960*x^9 + 52488*x^10 - exp(5)*(31104*x^4 + 139968*x^5 + 209952*x^6 + 104976*x^7)) - exp(15)*
(11664*x^3 + 17496*x^4) - 10368*x^4 - 51840*x^5 - 92288*x^6 - 59232*x^7 + 30888*x^8 + 120960*x^9 + 181440*x^10
+ 163296*x^11 + 81648*x^12 + 17496*x^13 - exp(5)*(51840*x^6 - 46656*x^4 - 10584*x^5 - 23328*x^3 + 155520*x^7
+ 233280*x^8 + 174960*x^9 + 52488*x^10) + log(3)^2*(15552*x^4 - exp(5)*(34992*x^3 + 52488*x^4) + 69984*x^5 + 1
04976*x^6 + 52488*x^7) + log(3)^3*(11664*x^3 + 17496*x^4) + exp(10)*(15552*x^4 + 69984*x^5 + 104976*x^6 + 5248
8*x^7)) + 6561*x^2*exp(20) + exp(10)*(7776*x^4 - 13122*x^3 - 26244*x^2 + 46656*x^5 + 104976*x^6 + 104976*x^7 +
39366*x^8) - exp(15)*(11664*x^3 + 34992*x^4 + 26244*x^5) + log(3)^3*(11664*x^3 - 26244*x^2*exp(5) + 34992*x^4
+ 26244*x^5) + exp(2*x)*(2916*x^3*log(3)^3 + log(3)*(8748*x^3*exp(10) - exp(5)*(23328*x^4 + 69984*x^5 + 52488
*x^6) - 5832*x^3 - 2916*x^4 + 8640*x^5 + 51840*x^6 + 116640*x^7 + 116640*x^8 + 43740*x^9) - 2916*x^3*exp(15) -
exp(5)*(8640*x^5 - 2916*x^4 - 5832*x^3 + 51840*x^6 + 116640*x^7 + 116640*x^8 + 43740*x^9) + exp(10)*(11664*x^
4 + 34992*x^5 + 26244*x^6) + log(3)^2*(11664*x^4 - 8748*x^3*exp(5) + 34992*x^5 + 26244*x^6) - 7776*x^4 - 27216
*x^5 - 27368*x^6 + 7380*x^7 + 60480*x^8 + 120960*x^9 + 136080*x^10 + 81648*x^11 + 20412*x^12) - exp(3*x)*(exp(
10)*(3888*x^4 + 5832*x^5) + log(3)*(5760*x^5 - exp(5)*(7776*x^4 + 11664*x^5) + 25920*x^6 + 38880*x^7 + 19440*x
^8) - 2592*x^4 - 5184*x^5 - 152*x^6 + 13440*x^7 + 40320*x^8 + 60480*x^9 + 45360*x^10 + 13608*x^11 + log(3)^2*(
3888*x^4 + 5832*x^5) - exp(5)*(5760*x^5 + 25920*x^6 + 38880*x^7 + 19440*x^8)) + 26244*x^2 + 26244*x^3 + 1377*x
^4 - 33696*x^5 - 85280*x^6 - 101904*x^7 - 45108*x^8 + 35262*x^9 + 90720*x^10 + 108864*x^11 + 81648*x^12 + 3499
2*x^13 + 6561*x^14 + exp(6*x)*(36*x^5*log(3) - 36*x^5*exp(5) + 112*x^6 + 336*x^7 + 252*x^8)),x)
[Out]
int((13122*exp(10) - 26244*x + log(3)*(23328*x - 26244*exp(5) + 104976*x^2 + 104976*x^3) + exp(2*x)*(log(3)*(5
832*x + 5832*x^2) - exp(5)*(5832*x + 5832*x^2) + 11664*x^2 + 54432*x^3 + 67068*x^4 + 17496*x^5) + exp(4*x)*(48
6*x^2 + 648*x^3) - exp(5)*(23328*x + 104976*x^2 + 104976*x^3) - exp(x)*(log(3)*(23328*x + 64152*x^2 + 17496*x^
3) - exp(5)*(23328*x + 64152*x^2 + 17496*x^3) + 15552*x^2 + 98496*x^3 + 198288*x^4 + 139968*x^5 + 17496*x^6) -
exp(3*x)*(3888*x^2 + 11664*x^3 + 5832*x^4) + 13122*log(3)^2 + 7776*x^2 + 62208*x^3 + 174960*x^4 + 209952*x^5
+ 91854*x^6 - 26244)/(6561*x^2*log(3)^4 - exp(5*x)*(log(3)*(432*x^5 + 648*x^6) - exp(5)*(432*x^5 + 648*x^6) +
448*x^6 + 2016*x^7 + 3024*x^8 + 1512*x^9) - exp(5)*(77760*x^7 - 81648*x^4 - 85176*x^5 - 5508*x^6 - 23328*x^3 +
155520*x^8 + 174960*x^9 + 104976*x^10 + 26244*x^11) - log(3)*(26244*x^2*exp(15) + exp(5)*(15552*x^4 - 26244*x
^3 - 52488*x^2 + 93312*x^5 + 209952*x^6 + 209952*x^7 + 78732*x^8) - exp(10)*(34992*x^3 + 104976*x^4 + 78732*x^
5) + 23328*x^3 + 81648*x^4 + 85176*x^5 + 5508*x^6 - 77760*x^7 - 155520*x^8 - 174960*x^9 - 104976*x^10 - 26244*
x^11) + exp(4*x)*(486*x^4*log(3)^2 + log(3)*(2160*x^5 - 972*x^4*exp(5) + 6480*x^6 + 4860*x^7) + 486*x^4*exp(10
) - exp(5)*(2160*x^5 + 6480*x^6 + 4860*x^7) - 324*x^4 - 162*x^5 + 1120*x^6 + 6720*x^7 + 15120*x^8 + 15120*x^9
+ 5670*x^10) - exp(7*x)*(16*x^6 + 24*x^7) + log(3)^2*(39366*x^2*exp(10) - exp(5)*(34992*x^3 + 104976*x^4 + 787
32*x^5) - 26244*x^2 - 13122*x^3 + 7776*x^4 + 46656*x^5 + 104976*x^6 + 104976*x^7 + 39366*x^8) + x^6*exp(8*x) -
exp(x)*(log(3)*(exp(10)*(34992*x^3 + 52488*x^4) - 23328*x^3 - 46656*x^4 - 10584*x^5 + 51840*x^6 + 155520*x^7
+ 233280*x^8 + 174960*x^9 + 52488*x^10 - exp(5)*(31104*x^4 + 139968*x^5 + 209952*x^6 + 104976*x^7)) - exp(15)*
(11664*x^3 + 17496*x^4) - 10368*x^4 - 51840*x^5 - 92288*x^6 - 59232*x^7 + 30888*x^8 + 120960*x^9 + 181440*x^10
+ 163296*x^11 + 81648*x^12 + 17496*x^13 - exp(5)*(51840*x^6 - 46656*x^4 - 10584*x^5 - 23328*x^3 + 155520*x^7
+ 233280*x^8 + 174960*x^9 + 52488*x^10) + log(3)^2*(15552*x^4 - exp(5)*(34992*x^3 + 52488*x^4) + 69984*x^5 + 1
04976*x^6 + 52488*x^7) + log(3)^3*(11664*x^3 + 17496*x^4) + exp(10)*(15552*x^4 + 69984*x^5 + 104976*x^6 + 5248
8*x^7)) + 6561*x^2*exp(20) + exp(10)*(7776*x^4 - 13122*x^3 - 26244*x^2 + 46656*x^5 + 104976*x^6 + 104976*x^7 +
39366*x^8) - exp(15)*(11664*x^3 + 34992*x^4 + 26244*x^5) + log(3)^3*(11664*x^3 - 26244*x^2*exp(5) + 34992*x^4
+ 26244*x^5) + exp(2*x)*(2916*x^3*log(3)^3 + log(3)*(8748*x^3*exp(10) - exp(5)*(23328*x^4 + 69984*x^5 + 52488
*x^6) - 5832*x^3 - 2916*x^4 + 8640*x^5 + 51840*x^6 + 116640*x^7 + 116640*x^8 + 43740*x^9) - 2916*x^3*exp(15) -
exp(5)*(8640*x^5 - 2916*x^4 - 5832*x^3 + 51840*x^6 + 116640*x^7 + 116640*x^8 + 43740*x^9) + exp(10)*(11664*x^
4 + 34992*x^5 + 26244*x^6) + log(3)^2*(11664*x^4 - 8748*x^3*exp(5) + 34992*x^5 + 26244*x^6) - 7776*x^4 - 27216
*x^5 - 27368*x^6 + 7380*x^7 + 60480*x^8 + 120960*x^9 + 136080*x^10 + 81648*x^11 + 20412*x^12) - exp(3*x)*(exp(
10)*(3888*x^4 + 5832*x^5) + log(3)*(5760*x^5 - exp(5)*(7776*x^4 + 11664*x^5) + 25920*x^6 + 38880*x^7 + 19440*x
^8) - 2592*x^4 - 5184*x^5 - 152*x^6 + 13440*x^7 + 40320*x^8 + 60480*x^9 + 45360*x^10 + 13608*x^11 + log(3)^2*(
3888*x^4 + 5832*x^5) - exp(5)*(5760*x^5 + 25920*x^6 + 38880*x^7 + 19440*x^8)) + 26244*x^2 + 26244*x^3 + 1377*x
^4 - 33696*x^5 - 85280*x^6 - 101904*x^7 - 45108*x^8 + 35262*x^9 + 90720*x^10 + 108864*x^11 + 81648*x^12 + 3499
2*x^13 + 6561*x^14 + exp(6*x)*(36*x^5*log(3) - 36*x^5*exp(5) + 112*x^6 + 336*x^7 + 252*x^8)), x)
________________________________________________________________________________________
sympy [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(((648*x**3+486*x**2)*exp(x)**4+(-5832*x**4-11664*x**3-3888*x**2)*exp(x)**3+((5832*x**2+5832*x)*ln(3)
+(-5832*x**2-5832*x)*exp(5)+17496*x**5+67068*x**4+54432*x**3+11664*x**2)*exp(x)**2+((-17496*x**3-64152*x**2-23
328*x)*ln(3)+(17496*x**3+64152*x**2+23328*x)*exp(5)-17496*x**6-139968*x**5-198288*x**4-98496*x**3-15552*x**2)*
exp(x)+13122*ln(3)**2+(-26244*exp(5)+104976*x**3+104976*x**2+23328*x)*ln(3)+13122*exp(5)**2+(-104976*x**3-1049
76*x**2-23328*x)*exp(5)+91854*x**6+209952*x**5+174960*x**4+62208*x**3+7776*x**2-26244*x-26244)/(1377*x**4+2624
4*x**3+26244*x**2-85280*x**6-33696*x**5-101904*x**7-45108*x**8+90720*x**10+35262*x**9+108864*x**11+81648*x**12
+34992*x**13+6561*x**14+6561*x**2*exp(5)**4+(-24*x**7-16*x**6)*exp(x)**7+(36*x**5*ln(3)-36*x**5*exp(5)+252*x**
8+336*x**7+112*x**6)*exp(x)**6+((-648*x**6-432*x**5)*ln(3)+(648*x**6+432*x**5)*exp(5)-1512*x**9-3024*x**8-2016
*x**7-448*x**6)*exp(x)**5+(486*x**4*ln(3)**2+(-972*x**4*exp(5)+4860*x**7+6480*x**6+2160*x**5)*ln(3)+486*x**4*e
xp(5)**2+(-4860*x**7-6480*x**6-2160*x**5)*exp(5)+5670*x**10+15120*x**9+15120*x**8+6720*x**7+1120*x**6-162*x**5
-324*x**4)*exp(x)**4+(-26244*x**2*exp(5)**3+(78732*x**5+104976*x**4+34992*x**3)*exp(5)**2+(-78732*x**8-209952*
x**7-209952*x**6-93312*x**5-15552*x**4+26244*x**3+52488*x**2)*exp(5)+26244*x**11+104976*x**10+174960*x**9+1555
20*x**8+77760*x**7-5508*x**6-85176*x**5-81648*x**4-23328*x**3)*ln(3)+(-26244*x**5-34992*x**4-11664*x**3)*exp(5
)**3+(39366*x**8+104976*x**7+104976*x**6+46656*x**5+7776*x**4-13122*x**3-26244*x**2)*exp(5)**2+(-26244*x**11-1
04976*x**10-174960*x**9-155520*x**8-77760*x**7+5508*x**6+85176*x**5+81648*x**4+23328*x**3)*exp(5)+((-5832*x**5
-3888*x**4)*ln(3)**2+((11664*x**5+7776*x**4)*exp(5)-19440*x**8-38880*x**7-25920*x**6-5760*x**5)*ln(3)+(-5832*x
**5-3888*x**4)*exp(5)**2+(19440*x**8+38880*x**7+25920*x**6+5760*x**5)*exp(5)-13608*x**11-45360*x**10-60480*x**
9-40320*x**8-13440*x**7+152*x**6+5184*x**5+2592*x**4)*exp(x)**3+(2916*x**3*ln(3)**3+(-8748*x**3*exp(5)+26244*x
**6+34992*x**5+11664*x**4)*ln(3)**2+(8748*x**3*exp(5)**2+(-52488*x**6-69984*x**5-23328*x**4)*exp(5)+43740*x**9
+116640*x**8+116640*x**7+51840*x**6+8640*x**5-2916*x**4-5832*x**3)*ln(3)-2916*x**3*exp(5)**3+(26244*x**6+34992
*x**5+11664*x**4)*exp(5)**2+(-43740*x**9-116640*x**8-116640*x**7-51840*x**6-8640*x**5+2916*x**4+5832*x**3)*exp
(5)+20412*x**12+81648*x**11+136080*x**10+120960*x**9+60480*x**8+7380*x**7-27368*x**6-27216*x**5-7776*x**4)*exp
(x)**2+x**6*exp(x)**8+((-17496*x**4-11664*x**3)*ln(3)**3+((52488*x**4+34992*x**3)*exp(5)-52488*x**7-104976*x**
6-69984*x**5-15552*x**4)*ln(3)**2+((-52488*x**4-34992*x**3)*exp(5)**2+(104976*x**7+209952*x**6+139968*x**5+311
04*x**4)*exp(5)-52488*x**10-174960*x**9-233280*x**8-155520*x**7-51840*x**6+10584*x**5+46656*x**4+23328*x**3)*l
n(3)+(17496*x**4+11664*x**3)*exp(5)**3+(-52488*x**7-104976*x**6-69984*x**5-15552*x**4)*exp(5)**2+(52488*x**10+
174960*x**9+233280*x**8+155520*x**7+51840*x**6-10584*x**5-46656*x**4-23328*x**3)*exp(5)-17496*x**13-81648*x**1
2-163296*x**11-181440*x**10-120960*x**9-30888*x**8+59232*x**7+92288*x**6+51840*x**5+10368*x**4)*exp(x)+(-26244
*x**2*exp(5)+26244*x**5+34992*x**4+11664*x**3)*ln(3)**3+(39366*x**2*exp(5)**2+(-78732*x**5-104976*x**4-34992*x
**3)*exp(5)+39366*x**8+104976*x**7+104976*x**6+46656*x**5+7776*x**4-13122*x**3-26244*x**2)*ln(3)**2+6561*x**2*
ln(3)**4),x)
[Out]
Timed out
________________________________________________________________________________________