Integrand size = 691, antiderivative size = 26 \[ \text {the integral} =2 \left (\frac {e^{24}}{6561 \left (9+e^x-x\right )^8 x^2}-x\right ) \]
Time = 20.21 (sec) , antiderivative size = 27, normalized size of antiderivative = 1.04 \[ \text {the integral} =\frac {2 \left (-6561 (-9+x)+\frac {e^{24}}{\left (9+e^x-x\right )^8 x^2}\right )}{6561} \]
Integrate[(-5083731656658*x^3 - 13122*E^(9*x)*x^3 + 5083731656658*x^4 - 22 59436291848*x^5 + 585779779368*x^6 - 97629963228*x^7 + 10847773692*x^8 - 8 03538792*x^9 + 38263752*x^10 - 1062882*x^11 + 13122*x^12 + E^24*(-36 + 20* x) + E^(8*x)*(-1062882*x^3 + 118098*x^4) + E^(7*x)*(-38263752*x^3 + 850305 6*x^4 - 472392*x^5) + E^(6*x)*(-803538792*x^3 + 267846264*x^4 - 29760696*x ^5 + 1102248*x^6) + E^(5*x)*(-10847773692*x^3 + 4821232752*x^4 - 803538792 *x^5 + 59521392*x^6 - 1653372*x^7) + E^(4*x)*(-97629963228*x^3 + 542388684 60*x^4 - 12053081880*x^5 + 1339231320*x^6 - 74401740*x^7 + 1653372*x^8) + E^(3*x)*(-585779779368*x^3 + 390519852912*x^4 - 108477736920*x^5 + 1607077 5840*x^6 - 1339231320*x^7 + 59521392*x^8 - 1102248*x^9) + E^(2*x)*(-225943 6291848*x^3 + 1757339338104*x^4 - 585779779368*x^5 + 108477736920*x^6 - 12 053081880*x^7 + 803538792*x^8 - 29760696*x^9 + 472392*x^10) + E^x*(E^24*(- 4 - 16*x) - 5083731656658*x^3 + 4518872583696*x^4 - 1757339338104*x^5 + 39 0519852912*x^6 - 54238868460*x^7 + 4821232752*x^8 - 267846264*x^9 + 850305 6*x^10 - 118098*x^11))/(2541865828329*x^3 + 6561*E^(9*x)*x^3 - 25418658283 29*x^4 + 1129718145924*x^5 - 292889889684*x^6 + 48814981614*x^7 - 54238868 46*x^8 + 401769396*x^9 - 19131876*x^10 + 531441*x^11 - 6561*x^12 + E^(8*x) *(531441*x^3 - 59049*x^4) + E^(7*x)*(19131876*x^3 - 4251528*x^4 + 236196*x ^5) + E^(6*x)*(401769396*x^3 - 133923132*x^4 + 14880348*x^5 - 551124*x^6) + E^(5*x)*(5423886846*x^3 - 2410616376*x^4 + 401769396*x^5 - 29760696*x^6 + 826686*x^7) + E^(4*x)*(48814981614*x^3 - 27119434230*x^4 + 6026540940*x^ 5 - 669615660*x^6 + 37200870*x^7 - 826686*x^8) + E^(3*x)*(292889889684*x^3 - 195259926456*x^4 + 54238868460*x^5 - 8035387920*x^6 + 669615660*x^7 - 2 9760696*x^8 + 551124*x^9) + E^(2*x)*(1129718145924*x^3 - 878669669052*x^4 + 292889889684*x^5 - 54238868460*x^6 + 6026540940*x^7 - 401769396*x^8 + 14 880348*x^9 - 236196*x^10) + E^x*(2541865828329*x^3 - 2259436291848*x^4 + 8 78669669052*x^5 - 195259926456*x^6 + 27119434230*x^7 - 2410616376*x^8 + 13 3923132*x^9 - 4251528*x^10 + 59049*x^11)),x]
Below are the steps used by Rubi to obtain the solution. The rule number used for the transformation is given above next to the arrow. The rules definitions used are listed below.
| \(\displaystyle \int \frac {13122 x^{12}-1062882 x^{11}+38263752 x^{10}-803538792 x^9+10847773692 x^8-97629963228 x^7+585779779368 x^6-2259436291848 x^5+5083731656658 x^4-13122 e^{9 x} x^3-5083731656658 x^3+e^{8 x} \left (118098 x^4-1062882 x^3\right )+e^{7 x} \left (-472392 x^5+8503056 x^4-38263752 x^3\right )+e^{6 x} \left (1102248 x^6-29760696 x^5+267846264 x^4-803538792 x^3\right )+e^{5 x} \left (-1653372 x^7+59521392 x^6-803538792 x^5+4821232752 x^4-10847773692 x^3\right )+e^{4 x} \left (1653372 x^8-74401740 x^7+1339231320 x^6-12053081880 x^5+54238868460 x^4-97629963228 x^3\right )+e^{3 x} \left (-1102248 x^9+59521392 x^8-1339231320 x^7+16070775840 x^6-108477736920 x^5+390519852912 x^4-585779779368 x^3\right )+e^{2 x} \left (472392 x^{10}-29760696 x^9+803538792 x^8-12053081880 x^7+108477736920 x^6-585779779368 x^5+1757339338104 x^4-2259436291848 x^3\right )+e^x \left (-118098 x^{11}+8503056 x^{10}-267846264 x^9+4821232752 x^8-54238868460 x^7+390519852912 x^6-1757339338104 x^5+4518872583696 x^4-5083731656658 x^3+e^{24} (-16 x-4)\right )+e^{24} (20 x-36)}{-6561 x^{12}+531441 x^{11}-19131876 x^{10}+401769396 x^9-5423886846 x^8+48814981614 x^7-292889889684 x^6+1129718145924 x^5-2541865828329 x^4+6561 e^{9 x} x^3+2541865828329 x^3+e^{8 x} \left (531441 x^3-59049 x^4\right )+e^{7 x} \left (236196 x^5-4251528 x^4+19131876 x^3\right )+e^{6 x} \left (-551124 x^6+14880348 x^5-133923132 x^4+401769396 x^3\right )+e^{5 x} \left (826686 x^7-29760696 x^6+401769396 x^5-2410616376 x^4+5423886846 x^3\right )+e^{4 x} \left (-826686 x^8+37200870 x^7-669615660 x^6+6026540940 x^5-27119434230 x^4+48814981614 x^3\right )+e^{3 x} \left (551124 x^9-29760696 x^8+669615660 x^7-8035387920 x^6+54238868460 x^5-195259926456 x^4+292889889684 x^3\right )+e^{2 x} \left (-236196 x^{10}+14880348 x^9-401769396 x^8+6026540940 x^7-54238868460 x^6+292889889684 x^5-878669669052 x^4+1129718145924 x^3\right )+e^x \left (59049 x^{11}-4251528 x^{10}+133923132 x^9-2410616376 x^8+27119434230 x^7-195259926456 x^6+878669669052 x^5-2259436291848 x^4+2541865828329 x^3\right )} \, dx\) |
| \(\Big \downarrow \) 7239 |
| \(\displaystyle \int \frac {2 \left (6561 x^3 (x-9)^9-59049 e^x x^3 (x-9)^8+236196 e^{2 x} x^3 (x-9)^7-551124 e^{3 x} x^3 (x-9)^6+826686 e^{4 x} x^3 (x-9)^5-826686 e^{5 x} x^3 (x-9)^4+551124 e^{6 x} x^3 (x-9)^3-236196 e^{7 x} x^3 (x-9)^2+59049 e^{8 x} x^3 (x-9)-6561 e^{9 x} x^3+2 e^{24} (5 x-9)-e^{x+24} (8 x+2)\right )}{6561 \left (-x+e^x+9\right )^9 x^3}dx\) |
| \(\Big \downarrow \) 27 |
| \(\displaystyle \frac {2 \int -\frac {6561 x^3 (9-x)^9+59049 e^x x^3 (9-x)^8+236196 e^{2 x} x^3 (9-x)^7+551124 e^{3 x} x^3 (9-x)^6+826686 e^{4 x} x^3 (9-x)^5+826686 e^{5 x} x^3 (9-x)^4+551124 e^{6 x} x^3 (9-x)^3+236196 e^{7 x} x^3 (9-x)^2+59049 e^{8 x} x^3 (9-x)+6561 e^{9 x} x^3+2 e^{24} (9-5 x)+2 e^{x+24} (4 x+1)}{\left (-x+e^x+9\right )^9 x^3}dx}{6561}\) |
| \(\Big \downarrow \) 25 |
| \(\displaystyle -\frac {2 \int \frac {6561 x^3 (9-x)^9+59049 e^x x^3 (9-x)^8+236196 e^{2 x} x^3 (9-x)^7+551124 e^{3 x} x^3 (9-x)^6+826686 e^{4 x} x^3 (9-x)^5+826686 e^{5 x} x^3 (9-x)^4+551124 e^{6 x} x^3 (9-x)^3+236196 e^{7 x} x^3 (9-x)^2+59049 e^{8 x} x^3 (9-x)+6561 e^{9 x} x^3+2 e^{24} (9-5 x)+2 e^{x+24} (4 x+1)}{\left (-x+e^x+9\right )^9 x^3}dx}{6561}\) |
| \(\Big \downarrow \) 7293 |
| \(\displaystyle -\frac {2 \int \left (\frac {8 e^{24} (x-10)}{\left (-x+e^x+9\right )^9 x^2}+\frac {2 e^{24} (4 x+1)}{\left (-x+e^x+9\right )^8 x^3}+6561\right )dx}{6561}\) |
| \(\Big \downarrow \) 2009 |
| \(\displaystyle -\frac {2 \left (2 e^{24} \int \frac {1}{\left (-x+e^x+9\right )^8 x^3}dx-80 e^{24} \int \frac {1}{\left (-x+e^x+9\right )^9 x^2}dx+8 e^{24} \int \frac {1}{\left (-x+e^x+9\right )^8 x^2}dx+8 e^{24} \int \frac {1}{\left (-x+e^x+9\right )^9 x}dx+6561 x\right )}{6561}\) |
Int[(-5083731656658*x^3 - 13122*E^(9*x)*x^3 + 5083731656658*x^4 - 22594362 91848*x^5 + 585779779368*x^6 - 97629963228*x^7 + 10847773692*x^8 - 8035387 92*x^9 + 38263752*x^10 - 1062882*x^11 + 13122*x^12 + E^24*(-36 + 20*x) + E ^(8*x)*(-1062882*x^3 + 118098*x^4) + E^(7*x)*(-38263752*x^3 + 8503056*x^4 - 472392*x^5) + E^(6*x)*(-803538792*x^3 + 267846264*x^4 - 29760696*x^5 + 1 102248*x^6) + E^(5*x)*(-10847773692*x^3 + 4821232752*x^4 - 803538792*x^5 + 59521392*x^6 - 1653372*x^7) + E^(4*x)*(-97629963228*x^3 + 54238868460*x^4 - 12053081880*x^5 + 1339231320*x^6 - 74401740*x^7 + 1653372*x^8) + E^(3*x )*(-585779779368*x^3 + 390519852912*x^4 - 108477736920*x^5 + 16070775840*x ^6 - 1339231320*x^7 + 59521392*x^8 - 1102248*x^9) + E^(2*x)*(-225943629184 8*x^3 + 1757339338104*x^4 - 585779779368*x^5 + 108477736920*x^6 - 12053081 880*x^7 + 803538792*x^8 - 29760696*x^9 + 472392*x^10) + E^x*(E^24*(-4 - 16 *x) - 5083731656658*x^3 + 4518872583696*x^4 - 1757339338104*x^5 + 39051985 2912*x^6 - 54238868460*x^7 + 4821232752*x^8 - 267846264*x^9 + 8503056*x^10 - 118098*x^11))/(2541865828329*x^3 + 6561*E^(9*x)*x^3 - 2541865828329*x^4 + 1129718145924*x^5 - 292889889684*x^6 + 48814981614*x^7 - 5423886846*x^8 + 401769396*x^9 - 19131876*x^10 + 531441*x^11 - 6561*x^12 + E^(8*x)*(5314 41*x^3 - 59049*x^4) + E^(7*x)*(19131876*x^3 - 4251528*x^4 + 236196*x^5) + E^(6*x)*(401769396*x^3 - 133923132*x^4 + 14880348*x^5 - 551124*x^6) + E^(5 *x)*(5423886846*x^3 - 2410616376*x^4 + 401769396*x^5 - 29760696*x^6 + 8266 86*x^7) + E^(4*x)*(48814981614*x^3 - 27119434230*x^4 + 6026540940*x^5 - 66 9615660*x^6 + 37200870*x^7 - 826686*x^8) + E^(3*x)*(292889889684*x^3 - 195 259926456*x^4 + 54238868460*x^5 - 8035387920*x^6 + 669615660*x^7 - 2976069 6*x^8 + 551124*x^9) + E^(2*x)*(1129718145924*x^3 - 878669669052*x^4 + 2928 89889684*x^5 - 54238868460*x^6 + 6026540940*x^7 - 401769396*x^8 + 14880348 *x^9 - 236196*x^10) + E^x*(2541865828329*x^3 - 2259436291848*x^4 + 8786696 69052*x^5 - 195259926456*x^6 + 27119434230*x^7 - 2410616376*x^8 + 13392313 2*x^9 - 4251528*x^10 + 59049*x^11)),x]
3.13.65.3.1 Defintions of rubi rules used
Int[(a_)*(Fx_), x_Symbol] :> Simp[a Int[Fx, x], x] /; FreeQ[a, x] && !Ma tchQ[Fx, (b_)*(Gx_) /; FreeQ[b, x]]
Int[u_, x_Symbol] :> With[{v = SimplifyIntegrand[u, x]}, Int[v, x] /; Simpl erIntegrandQ[v, u, x]]
Time = 0.56 (sec) , antiderivative size = 21, normalized size of antiderivative = 0.81
| method | result | size |
| risch | \(-2 x +\frac {2 \,{\mathrm e}^{24}}{6561 x^{2} \left (x -{\mathrm e}^{x}-9\right )^{8}}\) | \(21\) |
| parallelrisch | \(\frac {-6613488 x^{9} {\mathrm e}^{x}-2678462640 x^{7} {\mathrm e}^{x}+178564176 x^{8} {\mathrm e}^{x}-195259926456 \,{\mathrm e}^{2 x} x^{3}+178564176 x^{4} {\mathrm e}^{5 x}-6026540940 x^{3} {\mathrm e}^{4 x}-36159245640 x^{5} {\mathrm e}^{2 x}+24106163760 x^{6} {\mathrm e}^{x}+390519852912 \,{\mathrm e}^{x} x^{4}-502096953744 \,{\mathrm e}^{x} x^{3}-19840464 x^{5} {\mathrm e}^{5 x}+734832 x^{6} {\mathrm e}^{5 x}+2 \,{\mathrm e}^{24}-130173284304 x^{5} {\mathrm e}^{x}-13122 x^{11}-43391094768 x^{3} {\mathrm e}^{3 x}+944784 x^{10}-29760696 x^{9}-6026540940 x^{7}+535692528 x^{8}+502096953744 x^{4}-564859072962 x^{3}+43391094768 x^{6}-195259926456 x^{5}+104976 \,{\mathrm e}^{x} x^{10}+33067440 x^{6} {\mathrm e}^{4 x}-535692528 \,{\mathrm e}^{5 x} x^{3}-367416 \,{\mathrm e}^{2 x} x^{9}-33067440 \,{\mathrm e}^{3 x} x^{7}+595213920 \,{\mathrm e}^{3 x} x^{6}-367416 \,{\mathrm e}^{6 x} x^{5}-5356925280 \,{\mathrm e}^{3 x} x^{5}+104976 \,{\mathrm e}^{7 x} x^{4}+6613488 \,{\mathrm e}^{6 x} x^{4}+24106163760 \,{\mathrm e}^{3 x} x^{4}-13122 \,{\mathrm e}^{8 x} x^{3}-944784 \,{\mathrm e}^{7 x} x^{3}-29760696 \,{\mathrm e}^{6 x} x^{3}-918540 \,{\mathrm e}^{4 x} x^{7}-446410440 x^{5} {\mathrm e}^{4 x}+19840464 \,{\mathrm e}^{2 x} x^{8}-446410440 \,{\mathrm e}^{2 x} x^{7}+5356925280 \,{\mathrm e}^{2 x} x^{6}+130173284304 \,{\mathrm e}^{2 x} x^{4}+734832 \,{\mathrm e}^{3 x} x^{8}+2678462640 x^{4} {\mathrm e}^{4 x}}{6561 x^{2} \left (43046721-38263752 x -8 x^{7} {\mathrm e}^{x}+408240 x^{2} {\mathrm e}^{3 x}-408240 \,{\mathrm e}^{2 x} x^{3}-2520 x^{3} {\mathrm e}^{4 x}-1512 x^{5} {\mathrm e}^{2 x}-8 x \,{\mathrm e}^{7 x}-1837080 x \,{\mathrm e}^{3 x}+2755620 \,{\mathrm e}^{2 x} x^{2}-9920232 x \,{\mathrm e}^{2 x}+504 x^{6} {\mathrm e}^{x}+204120 \,{\mathrm e}^{x} x^{4}+9920232 \,{\mathrm e}^{x} x^{2}-1837080 \,{\mathrm e}^{x} x^{3}-29760696 \,{\mathrm e}^{x} x -504 x \,{\mathrm e}^{6 x}+{\mathrm e}^{8 x}+1512 x^{2} {\mathrm e}^{5 x}-13608 x \,{\mathrm e}^{5 x}+2268 \,{\mathrm e}^{6 x}-204120 x \,{\mathrm e}^{4 x}+72 \,{\mathrm e}^{7 x}+459270 \,{\mathrm e}^{4 x}-13608 x^{5} {\mathrm e}^{x}+34020 x^{2} {\mathrm e}^{4 x}-45360 x^{3} {\mathrm e}^{3 x}+40824 \,{\mathrm e}^{5 x}+3306744 \,{\mathrm e}^{3 x}+14880348 \,{\mathrm e}^{2 x}-72 x^{7}+x^{8}+459270 x^{4}-3306744 x^{3}+14880348 x^{2}+38263752 \,{\mathrm e}^{x}+2268 x^{6}-40824 x^{5}+28 x^{2} {\mathrm e}^{6 x}-56 \,{\mathrm e}^{5 x} x^{3}-56 \,{\mathrm e}^{3 x} x^{5}+2520 \,{\mathrm e}^{3 x} x^{4}+28 \,{\mathrm e}^{2 x} x^{6}+34020 \,{\mathrm e}^{2 x} x^{4}+70 x^{4} {\mathrm e}^{4 x}\right )}\) | \(674\) |
int((-13122*x^3*exp(x)^9+(118098*x^4-1062882*x^3)*exp(x)^8+(-472392*x^5+85 03056*x^4-38263752*x^3)*exp(x)^7+(1102248*x^6-29760696*x^5+267846264*x^4-8 03538792*x^3)*exp(x)^6+(-1653372*x^7+59521392*x^6-803538792*x^5+4821232752 *x^4-10847773692*x^3)*exp(x)^5+(1653372*x^8-74401740*x^7+1339231320*x^6-12 053081880*x^5+54238868460*x^4-97629963228*x^3)*exp(x)^4+(-1102248*x^9+5952 1392*x^8-1339231320*x^7+16070775840*x^6-108477736920*x^5+390519852912*x^4- 585779779368*x^3)*exp(x)^3+(472392*x^10-29760696*x^9+803538792*x^8-1205308 1880*x^7+108477736920*x^6-585779779368*x^5+1757339338104*x^4-2259436291848 *x^3)*exp(x)^2+((-16*x-4)*exp(3)^8-118098*x^11+8503056*x^10-267846264*x^9+ 4821232752*x^8-54238868460*x^7+390519852912*x^6-1757339338104*x^5+45188725 83696*x^4-5083731656658*x^3)*exp(x)+(20*x-36)*exp(3)^8+13122*x^12-1062882* x^11+38263752*x^10-803538792*x^9+10847773692*x^8-97629963228*x^7+585779779 368*x^6-2259436291848*x^5+5083731656658*x^4-5083731656658*x^3)/(6561*x^3*e xp(x)^9+(-59049*x^4+531441*x^3)*exp(x)^8+(236196*x^5-4251528*x^4+19131876* x^3)*exp(x)^7+(-551124*x^6+14880348*x^5-133923132*x^4+401769396*x^3)*exp(x )^6+(826686*x^7-29760696*x^6+401769396*x^5-2410616376*x^4+5423886846*x^3)* exp(x)^5+(-826686*x^8+37200870*x^7-669615660*x^6+6026540940*x^5-2711943423 0*x^4+48814981614*x^3)*exp(x)^4+(551124*x^9-29760696*x^8+669615660*x^7-803 5387920*x^6+54238868460*x^5-195259926456*x^4+292889889684*x^3)*exp(x)^3+(- 236196*x^10+14880348*x^9-401769396*x^8+6026540940*x^7-54238868460*x^6+2928 89889684*x^5-878669669052*x^4+1129718145924*x^3)*exp(x)^2+(59049*x^11-4251 528*x^10+133923132*x^9-2410616376*x^8+27119434230*x^7-195259926456*x^6+878 669669052*x^5-2259436291848*x^4+2541865828329*x^3)*exp(x)-6561*x^12+531441 *x^11-19131876*x^10+401769396*x^9-5423886846*x^8+48814981614*x^7-292889889 684*x^6+1129718145924*x^5-2541865828329*x^4+2541865828329*x^3),x,method=_R ETURNVERBOSE)
Leaf count of result is larger than twice the leaf count of optimal. 531 vs. \(2 (20) = 40\).
Time = 0.28 (sec) , antiderivative size = 531, normalized size of antiderivative = 20.42 \[ \text {the integral} =\text {Too large to display} \]
integrate((-13122*x^3*exp(x)^9+(118098*x^4-1062882*x^3)*exp(x)^8+(-472392* x^5+8503056*x^4-38263752*x^3)*exp(x)^7+(1102248*x^6-29760696*x^5+267846264 *x^4-803538792*x^3)*exp(x)^6+(-1653372*x^7+59521392*x^6-803538792*x^5+4821 232752*x^4-10847773692*x^3)*exp(x)^5+(1653372*x^8-74401740*x^7+1339231320* x^6-12053081880*x^5+54238868460*x^4-97629963228*x^3)*exp(x)^4+(-1102248*x^ 9+59521392*x^8-1339231320*x^7+16070775840*x^6-108477736920*x^5+39051985291 2*x^4-585779779368*x^3)*exp(x)^3+(472392*x^10-29760696*x^9+803538792*x^8-1 2053081880*x^7+108477736920*x^6-585779779368*x^5+1757339338104*x^4-2259436 291848*x^3)*exp(x)^2+((-16*x-4)*exp(3)^8-118098*x^11+8503056*x^10-26784626 4*x^9+4821232752*x^8-54238868460*x^7+390519852912*x^6-1757339338104*x^5+45 18872583696*x^4-5083731656658*x^3)*exp(x)+(20*x-36)*exp(3)^8+13122*x^12-10 62882*x^11+38263752*x^10-803538792*x^9+10847773692*x^8-97629963228*x^7+585 779779368*x^6-2259436291848*x^5+5083731656658*x^4-5083731656658*x^3)/(6561 *x^3*exp(x)^9+(-59049*x^4+531441*x^3)*exp(x)^8+(236196*x^5-4251528*x^4+191 31876*x^3)*exp(x)^7+(-551124*x^6+14880348*x^5-133923132*x^4+401769396*x^3) *exp(x)^6+(826686*x^7-29760696*x^6+401769396*x^5-2410616376*x^4+5423886846 *x^3)*exp(x)^5+(-826686*x^8+37200870*x^7-669615660*x^6+6026540940*x^5-2711 9434230*x^4+48814981614*x^3)*exp(x)^4+(551124*x^9-29760696*x^8+669615660*x ^7-8035387920*x^6+54238868460*x^5-195259926456*x^4+292889889684*x^3)*exp(x )^3+(-236196*x^10+14880348*x^9-401769396*x^8+6026540940*x^7-54238868460*x^ 6+292889889684*x^5-878669669052*x^4+1129718145924*x^3)*exp(x)^2+(59049*x^1 1-4251528*x^10+133923132*x^9-2410616376*x^8+27119434230*x^7-195259926456*x ^6+878669669052*x^5-2259436291848*x^4+2541865828329*x^3)*exp(x)-6561*x^12+ 531441*x^11-19131876*x^10+401769396*x^9-5423886846*x^8+48814981614*x^7-292 889889684*x^6+1129718145924*x^5-2541865828329*x^4+2541865828329*x^3),x, al gorithm=\
-2/6561*(6561*x^11 - 472392*x^10 + 14880348*x^9 - 267846264*x^8 + 30132704 70*x^7 - 21695547384*x^6 + 97629963228*x^5 - 251048476872*x^4 + 6561*x^3*e ^(8*x) + 282429536481*x^3 - 52488*(x^4 - 9*x^3)*e^(7*x) + 183708*(x^5 - 18 *x^4 + 81*x^3)*e^(6*x) - 367416*(x^6 - 27*x^5 + 243*x^4 - 729*x^3)*e^(5*x) + 459270*(x^7 - 36*x^6 + 486*x^5 - 2916*x^4 + 6561*x^3)*e^(4*x) - 367416* (x^8 - 45*x^7 + 810*x^6 - 7290*x^5 + 32805*x^4 - 59049*x^3)*e^(3*x) + 1837 08*(x^9 - 54*x^8 + 1215*x^7 - 14580*x^6 + 98415*x^5 - 354294*x^4 + 531441* x^3)*e^(2*x) - 52488*(x^10 - 63*x^9 + 1701*x^8 - 25515*x^7 + 229635*x^6 - 1240029*x^5 + 3720087*x^4 - 4782969*x^3)*e^x - e^24)/(x^10 - 72*x^9 + 2268 *x^8 - 40824*x^7 + 459270*x^6 - 3306744*x^5 + 14880348*x^4 - 38263752*x^3 + x^2*e^(8*x) + 43046721*x^2 - 8*(x^3 - 9*x^2)*e^(7*x) + 28*(x^4 - 18*x^3 + 81*x^2)*e^(6*x) - 56*(x^5 - 27*x^4 + 243*x^3 - 729*x^2)*e^(5*x) + 70*(x^ 6 - 36*x^5 + 486*x^4 - 2916*x^3 + 6561*x^2)*e^(4*x) - 56*(x^7 - 45*x^6 + 8 10*x^5 - 7290*x^4 + 32805*x^3 - 59049*x^2)*e^(3*x) + 28*(x^8 - 54*x^7 + 12 15*x^6 - 14580*x^5 + 98415*x^4 - 354294*x^3 + 531441*x^2)*e^(2*x) - 8*(x^9 - 63*x^8 + 1701*x^7 - 25515*x^6 + 229635*x^5 - 1240029*x^4 + 3720087*x^3 - 4782969*x^2)*e^x)
Leaf count of result is larger than twice the leaf count of optimal. 275 vs. \(2 (20) = 40\).
Time = 0.68 (sec) , antiderivative size = 275, normalized size of antiderivative = 10.58 \[ \text {the integral} =- 2 x + \frac {2 e^{24}}{6561 x^{10} - 472392 x^{9} + 14880348 x^{8} - 267846264 x^{7} + 3013270470 x^{6} - 21695547384 x^{5} + 97629963228 x^{4} - 251048476872 x^{3} + 6561 x^{2} e^{8 x} + 282429536481 x^{2} + \left (- 52488 x^{3} + 472392 x^{2}\right ) e^{7 x} + \left (183708 x^{4} - 3306744 x^{3} + 14880348 x^{2}\right ) e^{6 x} + \left (- 367416 x^{5} + 9920232 x^{4} - 89282088 x^{3} + 267846264 x^{2}\right ) e^{5 x} + \left (459270 x^{6} - 16533720 x^{5} + 223205220 x^{4} - 1339231320 x^{3} + 3013270470 x^{2}\right ) e^{4 x} + \left (- 367416 x^{7} + 16533720 x^{6} - 297606960 x^{5} + 2678462640 x^{4} - 12053081880 x^{3} + 21695547384 x^{2}\right ) e^{3 x} + \left (183708 x^{8} - 9920232 x^{7} + 223205220 x^{6} - 2678462640 x^{5} + 18079622820 x^{4} - 65086642152 x^{3} + 97629963228 x^{2}\right ) e^{2 x} + \left (- 52488 x^{9} + 3306744 x^{8} - 89282088 x^{7} + 1339231320 x^{6} - 12053081880 x^{5} + 65086642152 x^{4} - 195259926456 x^{3} + 251048476872 x^{2}\right ) e^{x}} \]
integrate((-13122*x**3*exp(x)**9+(118098*x**4-1062882*x**3)*exp(x)**8+(-47 2392*x**5+8503056*x**4-38263752*x**3)*exp(x)**7+(1102248*x**6-29760696*x** 5+267846264*x**4-803538792*x**3)*exp(x)**6+(-1653372*x**7+59521392*x**6-80 3538792*x**5+4821232752*x**4-10847773692*x**3)*exp(x)**5+(1653372*x**8-744 01740*x**7+1339231320*x**6-12053081880*x**5+54238868460*x**4-97629963228*x **3)*exp(x)**4+(-1102248*x**9+59521392*x**8-1339231320*x**7+16070775840*x* *6-108477736920*x**5+390519852912*x**4-585779779368*x**3)*exp(x)**3+(47239 2*x**10-29760696*x**9+803538792*x**8-12053081880*x**7+108477736920*x**6-58 5779779368*x**5+1757339338104*x**4-2259436291848*x**3)*exp(x)**2+((-16*x-4 )*exp(3)**8-118098*x**11+8503056*x**10-267846264*x**9+4821232752*x**8-5423 8868460*x**7+390519852912*x**6-1757339338104*x**5+4518872583696*x**4-50837 31656658*x**3)*exp(x)+(20*x-36)*exp(3)**8+13122*x**12-1062882*x**11+382637 52*x**10-803538792*x**9+10847773692*x**8-97629963228*x**7+585779779368*x** 6-2259436291848*x**5+5083731656658*x**4-5083731656658*x**3)/(6561*x**3*exp (x)**9+(-59049*x**4+531441*x**3)*exp(x)**8+(236196*x**5-4251528*x**4+19131 876*x**3)*exp(x)**7+(-551124*x**6+14880348*x**5-133923132*x**4+401769396*x **3)*exp(x)**6+(826686*x**7-29760696*x**6+401769396*x**5-2410616376*x**4+5 423886846*x**3)*exp(x)**5+(-826686*x**8+37200870*x**7-669615660*x**6+60265 40940*x**5-27119434230*x**4+48814981614*x**3)*exp(x)**4+(551124*x**9-29760 696*x**8+669615660*x**7-8035387920*x**6+54238868460*x**5-195259926456*x**4 +292889889684*x**3)*exp(x)**3+(-236196*x**10+14880348*x**9-401769396*x**8+ 6026540940*x**7-54238868460*x**6+292889889684*x**5-878669669052*x**4+11297 18145924*x**3)*exp(x)**2+(59049*x**11-4251528*x**10+133923132*x**9-2410616 376*x**8+27119434230*x**7-195259926456*x**6+878669669052*x**5-225943629184 8*x**4+2541865828329*x**3)*exp(x)-6561*x**12+531441*x**11-19131876*x**10+4 01769396*x**9-5423886846*x**8+48814981614*x**7-292889889684*x**6+112971814 5924*x**5-2541865828329*x**4+2541865828329*x**3),x)
-2*x + 2*exp(24)/(6561*x**10 - 472392*x**9 + 14880348*x**8 - 267846264*x** 7 + 3013270470*x**6 - 21695547384*x**5 + 97629963228*x**4 - 251048476872*x **3 + 6561*x**2*exp(8*x) + 282429536481*x**2 + (-52488*x**3 + 472392*x**2) *exp(7*x) + (183708*x**4 - 3306744*x**3 + 14880348*x**2)*exp(6*x) + (-3674 16*x**5 + 9920232*x**4 - 89282088*x**3 + 267846264*x**2)*exp(5*x) + (45927 0*x**6 - 16533720*x**5 + 223205220*x**4 - 1339231320*x**3 + 3013270470*x** 2)*exp(4*x) + (-367416*x**7 + 16533720*x**6 - 297606960*x**5 + 2678462640* x**4 - 12053081880*x**3 + 21695547384*x**2)*exp(3*x) + (183708*x**8 - 9920 232*x**7 + 223205220*x**6 - 2678462640*x**5 + 18079622820*x**4 - 650866421 52*x**3 + 97629963228*x**2)*exp(2*x) + (-52488*x**9 + 3306744*x**8 - 89282 088*x**7 + 1339231320*x**6 - 12053081880*x**5 + 65086642152*x**4 - 1952599 26456*x**3 + 251048476872*x**2)*exp(x))
Leaf count of result is larger than twice the leaf count of optimal. 531 vs. \(2 (20) = 40\).
Time = 1.19 (sec) , antiderivative size = 531, normalized size of antiderivative = 20.42 \[ \text {the integral} =\text {Too large to display} \]
integrate((-13122*x^3*exp(x)^9+(118098*x^4-1062882*x^3)*exp(x)^8+(-472392* x^5+8503056*x^4-38263752*x^3)*exp(x)^7+(1102248*x^6-29760696*x^5+267846264 *x^4-803538792*x^3)*exp(x)^6+(-1653372*x^7+59521392*x^6-803538792*x^5+4821 232752*x^4-10847773692*x^3)*exp(x)^5+(1653372*x^8-74401740*x^7+1339231320* x^6-12053081880*x^5+54238868460*x^4-97629963228*x^3)*exp(x)^4+(-1102248*x^ 9+59521392*x^8-1339231320*x^7+16070775840*x^6-108477736920*x^5+39051985291 2*x^4-585779779368*x^3)*exp(x)^3+(472392*x^10-29760696*x^9+803538792*x^8-1 2053081880*x^7+108477736920*x^6-585779779368*x^5+1757339338104*x^4-2259436 291848*x^3)*exp(x)^2+((-16*x-4)*exp(3)^8-118098*x^11+8503056*x^10-26784626 4*x^9+4821232752*x^8-54238868460*x^7+390519852912*x^6-1757339338104*x^5+45 18872583696*x^4-5083731656658*x^3)*exp(x)+(20*x-36)*exp(3)^8+13122*x^12-10 62882*x^11+38263752*x^10-803538792*x^9+10847773692*x^8-97629963228*x^7+585 779779368*x^6-2259436291848*x^5+5083731656658*x^4-5083731656658*x^3)/(6561 *x^3*exp(x)^9+(-59049*x^4+531441*x^3)*exp(x)^8+(236196*x^5-4251528*x^4+191 31876*x^3)*exp(x)^7+(-551124*x^6+14880348*x^5-133923132*x^4+401769396*x^3) *exp(x)^6+(826686*x^7-29760696*x^6+401769396*x^5-2410616376*x^4+5423886846 *x^3)*exp(x)^5+(-826686*x^8+37200870*x^7-669615660*x^6+6026540940*x^5-2711 9434230*x^4+48814981614*x^3)*exp(x)^4+(551124*x^9-29760696*x^8+669615660*x ^7-8035387920*x^6+54238868460*x^5-195259926456*x^4+292889889684*x^3)*exp(x )^3+(-236196*x^10+14880348*x^9-401769396*x^8+6026540940*x^7-54238868460*x^ 6+292889889684*x^5-878669669052*x^4+1129718145924*x^3)*exp(x)^2+(59049*x^1 1-4251528*x^10+133923132*x^9-2410616376*x^8+27119434230*x^7-195259926456*x ^6+878669669052*x^5-2259436291848*x^4+2541865828329*x^3)*exp(x)-6561*x^12+ 531441*x^11-19131876*x^10+401769396*x^9-5423886846*x^8+48814981614*x^7-292 889889684*x^6+1129718145924*x^5-2541865828329*x^4+2541865828329*x^3),x, al gorithm=\
-2/6561*(6561*x^11 - 472392*x^10 + 14880348*x^9 - 267846264*x^8 + 30132704 70*x^7 - 21695547384*x^6 + 97629963228*x^5 - 251048476872*x^4 + 6561*x^3*e ^(8*x) + 282429536481*x^3 - 52488*(x^4 - 9*x^3)*e^(7*x) + 183708*(x^5 - 18 *x^4 + 81*x^3)*e^(6*x) - 367416*(x^6 - 27*x^5 + 243*x^4 - 729*x^3)*e^(5*x) + 459270*(x^7 - 36*x^6 + 486*x^5 - 2916*x^4 + 6561*x^3)*e^(4*x) - 367416* (x^8 - 45*x^7 + 810*x^6 - 7290*x^5 + 32805*x^4 - 59049*x^3)*e^(3*x) + 1837 08*(x^9 - 54*x^8 + 1215*x^7 - 14580*x^6 + 98415*x^5 - 354294*x^4 + 531441* x^3)*e^(2*x) - 52488*(x^10 - 63*x^9 + 1701*x^8 - 25515*x^7 + 229635*x^6 - 1240029*x^5 + 3720087*x^4 - 4782969*x^3)*e^x - e^24)/(x^10 - 72*x^9 + 2268 *x^8 - 40824*x^7 + 459270*x^6 - 3306744*x^5 + 14880348*x^4 - 38263752*x^3 + x^2*e^(8*x) + 43046721*x^2 - 8*(x^3 - 9*x^2)*e^(7*x) + 28*(x^4 - 18*x^3 + 81*x^2)*e^(6*x) - 56*(x^5 - 27*x^4 + 243*x^3 - 729*x^2)*e^(5*x) + 70*(x^ 6 - 36*x^5 + 486*x^4 - 2916*x^3 + 6561*x^2)*e^(4*x) - 56*(x^7 - 45*x^6 + 8 10*x^5 - 7290*x^4 + 32805*x^3 - 59049*x^2)*e^(3*x) + 28*(x^8 - 54*x^7 + 12 15*x^6 - 14580*x^5 + 98415*x^4 - 354294*x^3 + 531441*x^2)*e^(2*x) - 8*(x^9 - 63*x^8 + 1701*x^7 - 25515*x^6 + 229635*x^5 - 1240029*x^4 + 3720087*x^3 - 4782969*x^2)*e^x)
Leaf count of result is larger than twice the leaf count of optimal. 713 vs. \(2 (20) = 40\).
Time = 0.77 (sec) , antiderivative size = 713, normalized size of antiderivative = 27.42 \[ \text {the integral} =\text {Too large to display} \]
integrate((-13122*x^3*exp(x)^9+(118098*x^4-1062882*x^3)*exp(x)^8+(-472392* x^5+8503056*x^4-38263752*x^3)*exp(x)^7+(1102248*x^6-29760696*x^5+267846264 *x^4-803538792*x^3)*exp(x)^6+(-1653372*x^7+59521392*x^6-803538792*x^5+4821 232752*x^4-10847773692*x^3)*exp(x)^5+(1653372*x^8-74401740*x^7+1339231320* x^6-12053081880*x^5+54238868460*x^4-97629963228*x^3)*exp(x)^4+(-1102248*x^ 9+59521392*x^8-1339231320*x^7+16070775840*x^6-108477736920*x^5+39051985291 2*x^4-585779779368*x^3)*exp(x)^3+(472392*x^10-29760696*x^9+803538792*x^8-1 2053081880*x^7+108477736920*x^6-585779779368*x^5+1757339338104*x^4-2259436 291848*x^3)*exp(x)^2+((-16*x-4)*exp(3)^8-118098*x^11+8503056*x^10-26784626 4*x^9+4821232752*x^8-54238868460*x^7+390519852912*x^6-1757339338104*x^5+45 18872583696*x^4-5083731656658*x^3)*exp(x)+(20*x-36)*exp(3)^8+13122*x^12-10 62882*x^11+38263752*x^10-803538792*x^9+10847773692*x^8-97629963228*x^7+585 779779368*x^6-2259436291848*x^5+5083731656658*x^4-5083731656658*x^3)/(6561 *x^3*exp(x)^9+(-59049*x^4+531441*x^3)*exp(x)^8+(236196*x^5-4251528*x^4+191 31876*x^3)*exp(x)^7+(-551124*x^6+14880348*x^5-133923132*x^4+401769396*x^3) *exp(x)^6+(826686*x^7-29760696*x^6+401769396*x^5-2410616376*x^4+5423886846 *x^3)*exp(x)^5+(-826686*x^8+37200870*x^7-669615660*x^6+6026540940*x^5-2711 9434230*x^4+48814981614*x^3)*exp(x)^4+(551124*x^9-29760696*x^8+669615660*x ^7-8035387920*x^6+54238868460*x^5-195259926456*x^4+292889889684*x^3)*exp(x )^3+(-236196*x^10+14880348*x^9-401769396*x^8+6026540940*x^7-54238868460*x^ 6+292889889684*x^5-878669669052*x^4+1129718145924*x^3)*exp(x)^2+(59049*x^1 1-4251528*x^10+133923132*x^9-2410616376*x^8+27119434230*x^7-195259926456*x ^6+878669669052*x^5-2259436291848*x^4+2541865828329*x^3)*exp(x)-6561*x^12+ 531441*x^11-19131876*x^10+401769396*x^9-5423886846*x^8+48814981614*x^7-292 889889684*x^6+1129718145924*x^5-2541865828329*x^4+2541865828329*x^3),x, al gorithm=\
-2/6561*(6561*x^11 - 52488*x^10*e^x - 472392*x^10 + 183708*x^9*e^(2*x) + 3 306744*x^9*e^x + 14880348*x^9 - 367416*x^8*e^(3*x) - 9920232*x^8*e^(2*x) - 89282088*x^8*e^x - 267846264*x^8 + 459270*x^7*e^(4*x) + 16533720*x^7*e^(3 *x) + 223205220*x^7*e^(2*x) + 1339231320*x^7*e^x + 3013270470*x^7 - 367416 *x^6*e^(5*x) - 16533720*x^6*e^(4*x) - 297606960*x^6*e^(3*x) - 2678462640*x ^6*e^(2*x) - 12053081880*x^6*e^x - 21695547384*x^6 + 183708*x^5*e^(6*x) + 9920232*x^5*e^(5*x) + 223205220*x^5*e^(4*x) + 2678462640*x^5*e^(3*x) + 180 79622820*x^5*e^(2*x) + 65086642152*x^5*e^x + 97629963228*x^5 - 52488*x^4*e ^(7*x) - 3306744*x^4*e^(6*x) - 89282088*x^4*e^(5*x) - 1339231320*x^4*e^(4* x) - 12053081880*x^4*e^(3*x) - 65086642152*x^4*e^(2*x) - 195259926456*x^4* e^x - 251048476872*x^4 + 6561*x^3*e^(8*x) + 472392*x^3*e^(7*x) + 14880348* x^3*e^(6*x) + 267846264*x^3*e^(5*x) + 3013270470*x^3*e^(4*x) + 21695547384 *x^3*e^(3*x) + 97629963228*x^3*e^(2*x) + 251048476872*x^3*e^x + 2824295364 81*x^3 - e^24)/(x^10 - 8*x^9*e^x - 72*x^9 + 28*x^8*e^(2*x) + 504*x^8*e^x + 2268*x^8 - 56*x^7*e^(3*x) - 1512*x^7*e^(2*x) - 13608*x^7*e^x - 40824*x^7 + 70*x^6*e^(4*x) + 2520*x^6*e^(3*x) + 34020*x^6*e^(2*x) + 204120*x^6*e^x + 459270*x^6 - 56*x^5*e^(5*x) - 2520*x^5*e^(4*x) - 45360*x^5*e^(3*x) - 4082 40*x^5*e^(2*x) - 1837080*x^5*e^x - 3306744*x^5 + 28*x^4*e^(6*x) + 1512*x^4 *e^(5*x) + 34020*x^4*e^(4*x) + 408240*x^4*e^(3*x) + 2755620*x^4*e^(2*x) + 9920232*x^4*e^x + 14880348*x^4 - 8*x^3*e^(7*x) - 504*x^3*e^(6*x) - 1360...
Timed out. \[ \text {the integral} =\text {Too large to display} \]
int(-(exp(6*x)*(803538792*x^3 - 267846264*x^4 + 29760696*x^5 - 1102248*x^6 ) + exp(3*x)*(585779779368*x^3 - 390519852912*x^4 + 108477736920*x^5 - 160 70775840*x^6 + 1339231320*x^7 - 59521392*x^8 + 1102248*x^9) + exp(x)*(5083 731656658*x^3 - 4518872583696*x^4 + 1757339338104*x^5 - 390519852912*x^6 + 54238868460*x^7 - 4821232752*x^8 + 267846264*x^9 - 8503056*x^10 + 118098* x^11 + exp(24)*(16*x + 4)) + exp(8*x)*(1062882*x^3 - 118098*x^4) + 13122*x ^3*exp(9*x) + exp(2*x)*(2259436291848*x^3 - 1757339338104*x^4 + 5857797793 68*x^5 - 108477736920*x^6 + 12053081880*x^7 - 803538792*x^8 + 29760696*x^9 - 472392*x^10) + exp(7*x)*(38263752*x^3 - 8503056*x^4 + 472392*x^5) + exp (4*x)*(97629963228*x^3 - 54238868460*x^4 + 12053081880*x^5 - 1339231320*x^ 6 + 74401740*x^7 - 1653372*x^8) + 5083731656658*x^3 - 5083731656658*x^4 + 2259436291848*x^5 - 585779779368*x^6 + 97629963228*x^7 - 10847773692*x^8 + 803538792*x^9 - 38263752*x^10 + 1062882*x^11 - 13122*x^12 + exp(5*x)*(108 47773692*x^3 - 4821232752*x^4 + 803538792*x^5 - 59521392*x^6 + 1653372*x^7 ) - exp(24)*(20*x - 36))/(exp(x)*(2541865828329*x^3 - 2259436291848*x^4 + 878669669052*x^5 - 195259926456*x^6 + 27119434230*x^7 - 2410616376*x^8 + 1 33923132*x^9 - 4251528*x^10 + 59049*x^11) + exp(8*x)*(531441*x^3 - 59049*x ^4) + 6561*x^3*exp(9*x) + exp(4*x)*(48814981614*x^3 - 27119434230*x^4 + 60 26540940*x^5 - 669615660*x^6 + 37200870*x^7 - 826686*x^8) + exp(7*x)*(1913 1876*x^3 - 4251528*x^4 + 236196*x^5) + exp(2*x)*(1129718145924*x^3 - 87866 9669052*x^4 + 292889889684*x^5 - 54238868460*x^6 + 6026540940*x^7 - 401769 396*x^8 + 14880348*x^9 - 236196*x^10) + exp(3*x)*(292889889684*x^3 - 19525 9926456*x^4 + 54238868460*x^5 - 8035387920*x^6 + 669615660*x^7 - 29760696* x^8 + 551124*x^9) + 2541865828329*x^3 - 2541865828329*x^4 + 1129718145924* x^5 - 292889889684*x^6 + 48814981614*x^7 - 5423886846*x^8 + 401769396*x^9 - 19131876*x^10 + 531441*x^11 - 6561*x^12 + exp(6*x)*(401769396*x^3 - 1339 23132*x^4 + 14880348*x^5 - 551124*x^6) + exp(5*x)*(5423886846*x^3 - 241061 6376*x^4 + 401769396*x^5 - 29760696*x^6 + 826686*x^7)),x)
int(-(exp(6*x)*(803538792*x^3 - 267846264*x^4 + 29760696*x^5 - 1102248*x^6 ) + exp(3*x)*(585779779368*x^3 - 390519852912*x^4 + 108477736920*x^5 - 160 70775840*x^6 + 1339231320*x^7 - 59521392*x^8 + 1102248*x^9) + exp(x)*(5083 731656658*x^3 - 4518872583696*x^4 + 1757339338104*x^5 - 390519852912*x^6 + 54238868460*x^7 - 4821232752*x^8 + 267846264*x^9 - 8503056*x^10 + 118098* x^11 + exp(24)*(16*x + 4)) + exp(8*x)*(1062882*x^3 - 118098*x^4) + 13122*x ^3*exp(9*x) + exp(2*x)*(2259436291848*x^3 - 1757339338104*x^4 + 5857797793 68*x^5 - 108477736920*x^6 + 12053081880*x^7 - 803538792*x^8 + 29760696*x^9 - 472392*x^10) + exp(7*x)*(38263752*x^3 - 8503056*x^4 + 472392*x^5) + exp (4*x)*(97629963228*x^3 - 54238868460*x^4 + 12053081880*x^5 - 1339231320*x^ 6 + 74401740*x^7 - 1653372*x^8) + 5083731656658*x^3 - 5083731656658*x^4 + 2259436291848*x^5 - 585779779368*x^6 + 97629963228*x^7 - 10847773692*x^8 + 803538792*x^9 - 38263752*x^10 + 1062882*x^11 - 13122*x^12 + exp(5*x)*(108 47773692*x^3 - 4821232752*x^4 + 803538792*x^5 - 59521392*x^6 + 1653372*x^7 ) - exp(24)*(20*x - 36))/(exp(x)*(2541865828329*x^3 - 2259436291848*x^4 + 878669669052*x^5 - 195259926456*x^6 + 27119434230*x^7 - 2410616376*x^8 + 1 33923132*x^9 - 4251528*x^10 + 59049*x^11) + exp(8*x)*(531441*x^3 - 59049*x ^4) + 6561*x^3*exp(9*x) + exp(4*x)*(48814981614*x^3 - 27119434230*x^4 + 60 26540940*x^5 - 669615660*x^6 + 37200870*x^7 - 826686*x^8) + exp(7*x)*(1913 1876*x^3 - 4251528*x^4 + 236196*x^5) + exp(2*x)*(1129718145924*x^3 - 87...