\[ \int \frac {e^{\frac {8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} \left (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}+19009536 x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34}\right )}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}+50692096 x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx \]
Optimal antiderivative \[ 3 \,{\mathrm e}^{2-x -\frac {x^{34}}{\left (-4+x \right )^{16}}} \]
command
int((-54*x^34+408*x^33-3*x^17+204*x^16-6528*x^15+130560*x^14-1827840*x^13+19009536*x^12-152076288*x^11+955908096*x^10-4779540480*x^9+19118161920*x^8-61178118144*x^7+155726118912*x^6-311452237824*x^5+479157288960*x^4-547608330240*x^3+438086664192*x^2-219043332096*x+51539607552)*exp((-x^34-x^17+66*x^16-2048*x^15+39680*x^14-537600*x^13+5404672*x^12-41746432*x^11+253034496*x^10-1218314240*x^9+4685824000*x^8-14394851328*x^7+35114713088*x^6-67175972864*x^5+98650030080*x^4-107374182400*x^3+81604378624*x^2-38654705664*x+8589934592)/(x^16-64*x^15+1920*x^14-35840*x^13+465920*x^12-4472832*x^11+32800768*x^10-187432960*x^9+843448320*x^8-2998927360*x^7+8396996608*x^6-18320719872*x^5+30534533120*x^4-37580963840*x^3+32212254720*x^2-17179869184*x+4294967296))/(x^17-68*x^16+2176*x^15-43520*x^14+609280*x^13-6336512*x^12+50692096*x^11-318636032*x^10+1593180160*x^9-6372720640*x^8+20392706048*x^7-51908706304*x^6+103817412608*x^5-159719096320*x^4+182536110080*x^3-146028888064*x^2+73014444032*x-17179869184),x)
Maple 2022.1 output
\[3 \,{\mathrm e}^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}+41746432 x^{11}-253034496 x^{10}+1218314240 x^{9}-4685824000 x^{8}+14394851328 x^{7}-35114713088 x^{6}+67175972864 x^{5}-98650030080 x^{4}+107374182400 x^{3}-81604378624 x^{2}+38654705664 x -8589934592}{x^{16}-64 x^{15}+1920 x^{14}-35840 x^{13}+465920 x^{12}-4472832 x^{11}+32800768 x^{10}-187432960 x^{9}+843448320 x^{8}-2998927360 x^{7}+8396996608 x^{6}-18320719872 x^{5}+30534533120 x^{4}-37580963840 x^{3}+32212254720 x^{2}-17179869184 x +4294967296}}\]
Maple 2021.1 output
hanged__________________________________________________________________________________