3.26.71 \(\int \frac {2+2 e^{144}+e^{64+4 x} (-14+8 x)+e^4 (-64+64 x)+e^8 (-960 x+720 x^2)+e^{12} (-6720 x^2+4480 x^3)+e^{16} (-29120 x^3+18200 x^4)+e^{20} (-87360 x^4+52416 x^5)+e^{24} (-192192 x^5+112112 x^6)+e^{28} (-320320 x^6+183040 x^7)+e^{32} (-411840 x^7+231660 x^8)+e^{36} (-411840 x^8+228800 x^9)+e^{40} (-320320 x^9+176176 x^{10})+e^{44} (-192192 x^{10}+104832 x^{11})+e^{48} (-87360 x^{11}+47320 x^{12})+e^{52} (-29120 x^{12}+15680 x^{13})+e^{56} (-6720 x^{13}+3600 x^{14})+e^{60} (-960 x^{14}+512 x^{15})+e^{64} (-64 x^{15}+34 x^{16})+e^{75} (32 e^{60}+e^{64} (-64+64 x))+e^{70} (240 e^{56}+e^{60} (-960+960 x)+e^{64} (-960 x+720 x^2))+e^{65} (1120 e^{52}+e^{56} (-6720+6720 x)+e^{60} (-13440 x+10080 x^2)+e^{64} (-6720 x^2+4480 x^3))+e^{60} (3640 e^{48}+e^{52} (-29120+29120 x)+e^{56} (-87360 x+65520 x^2)+e^{60} (-87360 x^2+58240 x^3)+e^{64} (-29120 x^3+18200 x^4))+e^{55} (8736 e^{44}+e^{48} (-87360+87360 x)+e^{52} (-349440 x+262080 x^2)+e^{56} (-524160 x^2+349440 x^3)+e^{60} (-349440 x^3+218400 x^4)+e^{64} (-87360 x^4+52416 x^5))+e^{50} (16016 e^{40}+e^{44} (-192192+192192 x)+e^{48} (-960960 x+720720 x^2)+e^{52} (-1921920 x^2+1281280 x^3)+e^{56} (-1921920 x^3+1201200 x^4)+e^{60} (-960960 x^4+576576 x^5)+e^{64} (-192192 x^5+112112 x^6))+e^{45} (22880 e^{36}+e^{40} (-320320+320320 x)+e^{44} (-1921920 x+1441440 x^2)+e^{48} (-4804800 x^2+3203200 x^3)+e^{52} (-6406400 x^3+4004000 x^4)+e^{56} (-4804800 x^4+2882880 x^5)+e^{60} (-1921920 x^5+1121120 x^6)+e^{64} (-320320 x^6+183040 x^7))+e^{40} (25740 e^{32}+e^{36} (-411840+411840 x)+e^{40} (-2882880 x+2162160 x^2)+e^{44} (-8648640 x^2+5765760 x^3)+e^{48} (-14414400 x^3+9009000 x^4)+e^{52} (-14414400 x^4+8648640 x^5)+e^{56} (-8648640 x^5+5045040 x^6)+e^{60} (-2882880 x^6+1647360 x^7)+e^{64} (-411840 x^7+231660 x^8))+e^{35} (22880 e^{28}+e^{32} (-411840+411840 x)+e^{36} (-3294720 x+2471040 x^2)+e^{40} (-11531520 x^2+7687680 x^3)+e^{44} (-23063040 x^3+14414400 x^4)+e^{48} (-28828800 x^4+17297280 x^5)+e^{52} (-23063040 x^5+13453440 x^6)+e^{56} (-11531520 x^6+6589440 x^7)+e^{60} (-3294720 x^7+1853280 x^8)+e^{64} (-411840 x^8+228800 x^9))+e^{30} (16016 e^{24}+e^{28} (-320320+320320 x)+e^{32} (-2882880 x+2162160 x^2)+e^{36} (-11531520 x^2+7687680 x^3)+e^{40} (-26906880 x^3+16816800 x^4)+e^{44} (-40360320 x^4+24216192 x^5)+e^{48} (-40360320 x^5+23543520 x^6)+e^{52} (-26906880 x^6+15375360 x^7)+e^{56} (-11531520 x^7+6486480 x^8)+e^{60} (-2882880 x^8+1601600 x^9)+e^{64} (-320320 x^9+176176 x^{10}))+e^{25} (8736 e^{20}+e^{24} (-192192+192192 x)+e^{28} (-1921920 x+1441440 x^2)+e^{32} (-8648640 x^2+5765760 x^3)+e^{36} (-23063040 x^3+14414400 x^4)+e^{40} (-40360320 x^4+24216192 x^5)+e^{44} (-48432384 x^5+28252224 x^6)+e^{48} (-40360320 x^6+23063040 x^7)+e^{52} (-23063040 x^7+12972960 x^8)+e^{56} (-8648640 x^8+4804800 x^9)+e^{60} (-1921920 x^9+1057056 x^{10})+e^{64} (-192192 x^{10}+104832 x^{11}))+e^{20} (3640 e^{16}+e^{20} (-87360+87360 x)+e^{24} (-960960 x+720720 x^2)+e^{28} (-4804800 x^2+3203200 x^3)+e^{32} (-14414400 x^3+9009000 x^4)+e^{36} (-28828800 x^4+17297280 x^5)+e^{40} (-40360320 x^5+23543520 x^6)+e^{44} (-40360320 x^6+23063040 x^7)+e^{48} (-28828800 x^7+16216200 x^8)+e^{52} (-14414400 x^8+8008000 x^9)+e^{56} (-4804800 x^9+2642640 x^{10})+e^{60} (-960960 x^{10}+524160 x^{11})+e^{64} (-87360 x^{11}+47320 x^{12}))+e^{15} (1120 e^{12}+e^{16} (-29120+29120 x)+e^{20} (-349440 x+262080 x^2)+e^{24} (-1921920 x^2+1281280 x^3)+e^{28} (-6406400 x^3+4004000 x^4)+e^{32} (-14414400 x^4+8648640 x^5)+e^{36} (-23063040 x^5+13453440 x^6)+e^{40} (-26906880 x^6+15375360 x^7)+e^{44} (-23063040 x^7+12972960 x^8)+e^{48} (-14414400 x^8+8008000 x^9)+e^{52} (-6406400 x^9+3523520 x^{10})+e^{56} (-1921920 x^{10}+1048320 x^{11})+e^{60} (-349440 x^{11}+189280 x^{12})+e^{64} (-29120 x^{12}+15680 x^{13}))+e^{10} (240 e^8+e^{12} (-6720+6720 x)+e^{16} (-87360 x+65520 x^2)+e^{20} (-524160 x^2+349440 x^3)+e^{24} (-1921920 x^3+1201200 x^4)+e^{28} (-4804800 x^4+2882880 x^5)+e^{32} (-8648640 x^5+5045040 x^6)+e^{36} (-11531520 x^6+6589440 x^7)+e^{40} (-11531520 x^7+6486480 x^8)+e^{44} (-8648640 x^8+4804800 x^9)+e^{48} (-4804800 x^9+2642640 x^{10})+e^{52} (-1921920 x^{10}+1048320 x^{11})+e^{56} (-524160 x^{11}+283920 x^{12})+e^{60} (-87360 x^{12}+47040 x^{13})+e^{64} (-6720 x^{13}+3600 x^{14}))+e^5 (32 e^4+e^8 (-960+960 x)+e^{12} (-13440 x+10080 x^2)+e^{16} (-87360 x^2+58240 x^3)+e^{20} (-349440 x^3+218400 x^4)+e^{24} (-960960 x^4+576576 x^5)+e^{28} (-1921920 x^5+1121120 x^6)+e^{32} (-2882880 x^6+1647360 x^7)+e^{36} (-3294720 x^7+1853280 x^8)+e^{40} (-2882880 x^8+1601600 x^9)+e^{44} (-1921920 x^9+1057056 x^{10})+e^{48} (-960960 x^{10}+524160 x^{11})+e^{52} (-349440 x^{11}+189280 x^{12})+e^{56} (-87360 x^{12}+47040 x^{13})+e^{60} (-13440 x^{13}+7200 x^{14})+e^{64} (-960 x^{14}+512 x^{15}))+e^{3 x} (e^{48} (40-24 x)+e^{84} (40-24 x)+e^{52} (64+128 x-96 x^2)+e^{56} (192 x+144 x^2-144 x^3)+e^{60} (192 x^2+64 x^3-96 x^4)+e^{64} (64 x^3+8 x^4-24 x^5)+e^{15} (e^{60} (160-96 x)+e^{64} (64+128 x-96 x^2))+e^{10} (e^{56} (240-144 x)+e^{60} (192+384 x-288 x^2)+e^{64} (192 x+144 x^2-144 x^3))+e^5 (e^{52} (160-96 x)+e^{56} (192+384 x-288 x^2)+e^{60} (384 x+288 x^2-288 x^3)+e^{64} (192 x^2+64 x^3-96 x^4)))+e^{2 x} (e^{32} (-36+24 x)+e^{104} (-36+24 x)+e^{36} (-192-192 x+192 x^2)+e^{40} (-1344 x-336 x^2+672 x^3)+e^{44} (-4032 x^2+1344 x^4)+e^{48} (-6720 x^3+840 x^4+1680 x^5)+e^{52} (-6720 x^4+1344 x^5+1344 x^6)+e^{56} (-4032 x^5+1008 x^6+672 x^7)+e^{60} (-1344 x^6+384 x^7+192 x^8)+e^{64} (-192 x^7+60 x^8+24 x^9)+e^{35} (e^{60} (-288+192 x)+e^{64} (-192-192 x+192 x^2))+e^{30} (e^{56} (-1008+672 x)+e^{60} (-1344-1344 x+1344 x^2)+e^{64} (-1344 x-336 x^2+672 x^3))+e^{25} (e^{52} (-2016+1344 x)+e^{56} (-4032-4032 x+4032 x^2)+e^{60} (-8064 x-2016 x^2+4032 x^3)+e^{64} (-4032 x^2+1344 x^4))+e^{20} (e^{48} (-2520+1680 x)+e^{52} (-6720-6720 x+6720 x^2)+e^{56} (-20160 x-5040 x^2+10080 x^3)+e^{60} (-20160 x^2+6720 x^4)+e^{64} (-6720 x^3+840 x^4+1680 x^5))+e^{15} (e^{44} (-2016+1344 x)+e^{48} (-6720-6720 x+6720 x^2)+e^{52} (-26880 x-6720 x^2+13440 x^3)+e^{56} (-40320 x^2+13440 x^4)+e^{60} (-26880 x^3+3360 x^4+6720 x^5)+e^{64} (-6720 x^4+1344 x^5+1344 x^6))+e^{10} (e^{40} (-1008+672 x)+e^{44} (-4032-4032 x+4032 x^2)+e^{48} (-20160 x-5040 x^2+10080 x^3)+e^{52} (-40320 x^2+13440 x^4)+e^{56} (-40320 x^3+5040 x^4+10080 x^5)+e^{60} (-20160 x^4+4032 x^5+4032 x^6)+e^{64} (-4032 x^5+1008 x^6+672 x^7))+e^5 (e^{36} (-288+192 x)+e^{40} (-1344-1344 x+1344 x^2)+e^{44} (-8064 x-2016 x^2+4032 x^3)+e^{48} (-20160 x^2+6720 x^4)+e^{52} (-26880 x^3+3360 x^4+6720 x^5)+e^{56} (-20160 x^4+4032 x^5+4032 x^6)+e^{60} (-8064 x^5+2016 x^6+1344 x^7)+e^{64} (-1344 x^6+384 x^7+192 x^8)))+e^x (e^{16} (8-8 x)+e^{124} (8-8 x)+e^{20} (192-96 x^2)+e^{24} (2112 x-528 x^2-528 x^3)+e^{28} (10560 x^2-3520 x^3-1760 x^4)+e^{32} (31680 x^3-11880 x^4-3960 x^5)+e^{36} (63360 x^4-25344 x^5-6336 x^6)+e^{40} (88704 x^5-36960 x^6-7392 x^7)+e^{44} (88704 x^6-38016 x^7-6336 x^8)+e^{48} (63360 x^7-27720 x^8-3960 x^9)+e^{52} (31680 x^8-14080 x^9-1760 x^{10})+e^{56} (10560 x^9-4752 x^{10}-528 x^{11})+e^{60} (2112 x^{10}-960 x^{11}-96 x^{12})+e^{64} (192 x^{11}-88 x^{12}-8 x^{13})+e^{55} (e^{60} (96-96 x)+e^{64} (192-96 x^2))+e^{50} (e^{56} (528-528 x)+e^{60} (2112-1056 x^2)+e^{64} (2112 x-528 x^2-528 x^3))+e^{45} (e^{52} (1760-1760 x)+e^{56} (10560-5280 x^2)+e^{60} (21120 x-5280 x^2-5280 x^3)+e^{64} (10560 x^2-3520 x^3-1760 x^4))+e^{40} (e^{48} (3960-3960 x)+e^{52} (31680-15840 x^2)+e^{56} (95040 x-23760 x^2-23760 x^3)+e^{60} (95040 x^2-31680 x^3-15840 x^4)+e^{64} (31680 x^3-11880 x^4-3960 x^5))+e^{35} (e^{44} (6336-6336 x)+e^{48} (63360-31680 x^2)+e^{52} (253440 x-63360 x^2-63360 x^3)+e^{56} (380160 x^2-126720 x^3-63360 x^4)+e^{60} (253440 x^3-95040 x^4-31680 x^5)+e^{64} (63360 x^4-25344 x^5-6336 x^6))+e^{30} (e^{40} (7392-7392 x)+e^{44} (88704-44352 x^2)+e^{48} (443520 x-110880 x^2-110880 x^3)+e^{52} (887040 x^2-295680 x^3-147840 x^4)+e^{56} (887040 x^3-332640 x^4-110880 x^5)+e^{60} (443520 x^4-177408 x^5-44352 x^6)+e^{64} (88704 x^5-36960 x^6-7392 x^7))+e^{25} (e^{36} (6336-6336 x)+e^{40} (88704-44352 x^2)+e^{44} (532224 x-133056 x^2-133056 x^3)+e^{48} (1330560 x^2-443520 x^3-221760 x^4)+e^{52} (1774080 x^3-665280 x^4-221760 x^5)+e^{56} (1330560 x^4-532224 x^5-133056 x^6)+e^{60} (532224 x^5-221760 x^6-44352 x^7)+e^{64} (88704 x^6-38016 x^7-6336 x^8))+e^{20} (e^{32} (3960-3960 x)+e^{36} (63360-31680 x^2)+e^{40} (443520 x-110880 x^2-110880 x^3)+e^{44} (1330560 x^2-443520 x^3-221760 x^4)+e^{48} (2217600 x^3-831600 x^4-277200 x^5)+e^{52} (2217600 x^4-887040 x^5-221760 x^6)+e^{56} (1330560 x^5-554400 x^6-110880 x^7)+e^{60} (443520 x^6-190080 x^7-31680 x^8)+e^{64} (63360 x^7-27720 x^8-3960 x^9))+e^{15} (e^{28} (1760-1760 x)+e^{32} (31680-15840 x^2)+e^{36} (253440 x-63360 x^2-63360 x^3)+e^{40} (887040 x^2-295680 x^3-147840 x^4)+e^{44} (1774080 x^3-665280 x^4-221760 x^5)+e^{48} (2217600 x^4-887040 x^5-221760 x^6)+e^{52} (1774080 x^5-739200 x^6-147840 x^7)+e^{56} (887040 x^6-380160 x^7-63360 x^8)+e^{60} (253440 x^7-110880 x^8-15840 x^9)+e^{64} (31680 x^8-14080 x^9-1760 x^{10}))+e^{10} (e^{24} (528-528 x)+e^{28} (10560-5280 x^2)+e^{32} (95040 x-23760 x^2-23760 x^3)+e^{36} (380160 x^2-126720 x^3-63360 x^4)+e^{40} (887040 x^3-332640 x^4-110880 x^5)+e^{44} (1330560 x^4-532224 x^5-133056 x^6)+e^{48} (1330560 x^5-554400 x^6-110880 x^7)+e^{52} (887040 x^6-380160 x^7-63360 x^8)+e^{56} (380160 x^7-166320 x^8-23760 x^9)+e^{60} (95040 x^8-42240 x^9-5280 x^{10})+e^{64} (10560 x^9-4752 x^{10}-528 x^{11}))+e^5 (e^{20} (96-96 x)+e^{24} (2112-1056 x^2)+e^{28} (21120 x-5280 x^2-5280 x^3)+e^{32} (95040 x^2-31680 x^3-15840 x^4)+e^{36} (253440 x^3-95040 x^4-31680 x^5)+e^{40} (443520 x^4-177408 x^5-44352 x^6)+e^{44} (532224 x^5-221760 x^6-44352 x^7)+e^{48} (443520 x^6-190080 x^7-31680 x^8)+e^{52} (253440 x^7-110880 x^8-15840 x^9)+e^{56} (95040 x^8-42240 x^9-5280 x^{10})+e^{60} (21120 x^9-9504 x^{10}-1056 x^{11})+e^{64} (2112 x^{10}-960 x^{11}-96 x^{12})))}{e^{64}} \, dx\)
Optimal. Leaf size=24 \[ (-4+2 x) \left (e^x-\left (\frac {1}{e^4}+e^5+x\right )^4\right )^4 \]
________________________________________________________________________________________
Rubi [B] time = 24.89, antiderivative size = 9643, normalized size of antiderivative =
401.79, number of steps used = 1047, number of rules used = 5, integrand size = 4683, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.001,
Rules used = {12, 2176, 2194, 6, 2196}
result too large to display
Antiderivative was successfully verified.
[In]
Int[(2 + 2*E^144 + E^(64 + 4*x)*(-14 + 8*x) + E^4*(-64 + 64*x) + E^8*(-960*x + 720*x^2) + E^12*(-6720*x^2 + 44
80*x^3) + E^16*(-29120*x^3 + 18200*x^4) + E^20*(-87360*x^4 + 52416*x^5) + E^24*(-192192*x^5 + 112112*x^6) + E^
28*(-320320*x^6 + 183040*x^7) + E^32*(-411840*x^7 + 231660*x^8) + E^36*(-411840*x^8 + 228800*x^9) + E^40*(-320
320*x^9 + 176176*x^10) + E^44*(-192192*x^10 + 104832*x^11) + E^48*(-87360*x^11 + 47320*x^12) + E^52*(-29120*x^
12 + 15680*x^13) + E^56*(-6720*x^13 + 3600*x^14) + E^60*(-960*x^14 + 512*x^15) + E^64*(-64*x^15 + 34*x^16) + E
^75*(32*E^60 + E^64*(-64 + 64*x)) + E^70*(240*E^56 + E^60*(-960 + 960*x) + E^64*(-960*x + 720*x^2)) + E^65*(11
20*E^52 + E^56*(-6720 + 6720*x) + E^60*(-13440*x + 10080*x^2) + E^64*(-6720*x^2 + 4480*x^3)) + E^60*(3640*E^48
+ E^52*(-29120 + 29120*x) + E^56*(-87360*x + 65520*x^2) + E^60*(-87360*x^2 + 58240*x^3) + E^64*(-29120*x^3 +
18200*x^4)) + E^55*(8736*E^44 + E^48*(-87360 + 87360*x) + E^52*(-349440*x + 262080*x^2) + E^56*(-524160*x^2 +
349440*x^3) + E^60*(-349440*x^3 + 218400*x^4) + E^64*(-87360*x^4 + 52416*x^5)) + E^50*(16016*E^40 + E^44*(-192
192 + 192192*x) + E^48*(-960960*x + 720720*x^2) + E^52*(-1921920*x^2 + 1281280*x^3) + E^56*(-1921920*x^3 + 120
1200*x^4) + E^60*(-960960*x^4 + 576576*x^5) + E^64*(-192192*x^5 + 112112*x^6)) + E^45*(22880*E^36 + E^40*(-320
320 + 320320*x) + E^44*(-1921920*x + 1441440*x^2) + E^48*(-4804800*x^2 + 3203200*x^3) + E^52*(-6406400*x^3 + 4
004000*x^4) + E^56*(-4804800*x^4 + 2882880*x^5) + E^60*(-1921920*x^5 + 1121120*x^6) + E^64*(-320320*x^6 + 1830
40*x^7)) + E^40*(25740*E^32 + E^36*(-411840 + 411840*x) + E^40*(-2882880*x + 2162160*x^2) + E^44*(-8648640*x^2
+ 5765760*x^3) + E^48*(-14414400*x^3 + 9009000*x^4) + E^52*(-14414400*x^4 + 8648640*x^5) + E^56*(-8648640*x^5
+ 5045040*x^6) + E^60*(-2882880*x^6 + 1647360*x^7) + E^64*(-411840*x^7 + 231660*x^8)) + E^35*(22880*E^28 + E^
32*(-411840 + 411840*x) + E^36*(-3294720*x + 2471040*x^2) + E^40*(-11531520*x^2 + 7687680*x^3) + E^44*(-230630
40*x^3 + 14414400*x^4) + E^48*(-28828800*x^4 + 17297280*x^5) + E^52*(-23063040*x^5 + 13453440*x^6) + E^56*(-11
531520*x^6 + 6589440*x^7) + E^60*(-3294720*x^7 + 1853280*x^8) + E^64*(-411840*x^8 + 228800*x^9)) + E^30*(16016
*E^24 + E^28*(-320320 + 320320*x) + E^32*(-2882880*x + 2162160*x^2) + E^36*(-11531520*x^2 + 7687680*x^3) + E^4
0*(-26906880*x^3 + 16816800*x^4) + E^44*(-40360320*x^4 + 24216192*x^5) + E^48*(-40360320*x^5 + 23543520*x^6) +
E^52*(-26906880*x^6 + 15375360*x^7) + E^56*(-11531520*x^7 + 6486480*x^8) + E^60*(-2882880*x^8 + 1601600*x^9)
+ E^64*(-320320*x^9 + 176176*x^10)) + E^25*(8736*E^20 + E^24*(-192192 + 192192*x) + E^28*(-1921920*x + 1441440
*x^2) + E^32*(-8648640*x^2 + 5765760*x^3) + E^36*(-23063040*x^3 + 14414400*x^4) + E^40*(-40360320*x^4 + 242161
92*x^5) + E^44*(-48432384*x^5 + 28252224*x^6) + E^48*(-40360320*x^6 + 23063040*x^7) + E^52*(-23063040*x^7 + 12
972960*x^8) + E^56*(-8648640*x^8 + 4804800*x^9) + E^60*(-1921920*x^9 + 1057056*x^10) + E^64*(-192192*x^10 + 10
4832*x^11)) + E^20*(3640*E^16 + E^20*(-87360 + 87360*x) + E^24*(-960960*x + 720720*x^2) + E^28*(-4804800*x^2 +
3203200*x^3) + E^32*(-14414400*x^3 + 9009000*x^4) + E^36*(-28828800*x^4 + 17297280*x^5) + E^40*(-40360320*x^5
+ 23543520*x^6) + E^44*(-40360320*x^6 + 23063040*x^7) + E^48*(-28828800*x^7 + 16216200*x^8) + E^52*(-14414400
*x^8 + 8008000*x^9) + E^56*(-4804800*x^9 + 2642640*x^10) + E^60*(-960960*x^10 + 524160*x^11) + E^64*(-87360*x^
11 + 47320*x^12)) + E^15*(1120*E^12 + E^16*(-29120 + 29120*x) + E^20*(-349440*x + 262080*x^2) + E^24*(-1921920
*x^2 + 1281280*x^3) + E^28*(-6406400*x^3 + 4004000*x^4) + E^32*(-14414400*x^4 + 8648640*x^5) + E^36*(-23063040
*x^5 + 13453440*x^6) + E^40*(-26906880*x^6 + 15375360*x^7) + E^44*(-23063040*x^7 + 12972960*x^8) + E^48*(-1441
4400*x^8 + 8008000*x^9) + E^52*(-6406400*x^9 + 3523520*x^10) + E^56*(-1921920*x^10 + 1048320*x^11) + E^60*(-34
9440*x^11 + 189280*x^12) + E^64*(-29120*x^12 + 15680*x^13)) + E^10*(240*E^8 + E^12*(-6720 + 6720*x) + E^16*(-8
7360*x + 65520*x^2) + E^20*(-524160*x^2 + 349440*x^3) + E^24*(-1921920*x^3 + 1201200*x^4) + E^28*(-4804800*x^4
+ 2882880*x^5) + E^32*(-8648640*x^5 + 5045040*x^6) + E^36*(-11531520*x^6 + 6589440*x^7) + E^40*(-11531520*x^7
+ 6486480*x^8) + E^44*(-8648640*x^8 + 4804800*x^9) + E^48*(-4804800*x^9 + 2642640*x^10) + E^52*(-1921920*x^10
+ 1048320*x^11) + E^56*(-524160*x^11 + 283920*x^12) + E^60*(-87360*x^12 + 47040*x^13) + E^64*(-6720*x^13 + 36
00*x^14)) + E^5*(32*E^4 + E^8*(-960 + 960*x) + E^12*(-13440*x + 10080*x^2) + E^16*(-87360*x^2 + 58240*x^3) + E
^20*(-349440*x^3 + 218400*x^4) + E^24*(-960960*x^4 + 576576*x^5) + E^28*(-1921920*x^5 + 1121120*x^6) + E^32*(-
2882880*x^6 + 1647360*x^7) + E^36*(-3294720*x^7 + 1853280*x^8) + E^40*(-2882880*x^8 + 1601600*x^9) + E^44*(-19
21920*x^9 + 1057056*x^10) + E^48*(-960960*x^10 + 524160*x^11) + E^52*(-349440*x^11 + 189280*x^12) + E^56*(-873
60*x^12 + 47040*x^13) + E^60*(-13440*x^13 + 7200*x^14) + E^64*(-960*x^14 + 512*x^15)) + E^(3*x)*(E^48*(40 - 24
*x) + E^84*(40 - 24*x) + E^52*(64 + 128*x - 96*x^2) + E^56*(192*x + 144*x^2 - 144*x^3) + E^60*(192*x^2 + 64*x^
3 - 96*x^4) + E^64*(64*x^3 + 8*x^4 - 24*x^5) + E^15*(E^60*(160 - 96*x) + E^64*(64 + 128*x - 96*x^2)) + E^10*(E
^56*(240 - 144*x) + E^60*(192 + 384*x - 288*x^2) + E^64*(192*x + 144*x^2 - 144*x^3)) + E^5*(E^52*(160 - 96*x)
+ E^56*(192 + 384*x - 288*x^2) + E^60*(384*x + 288*x^2 - 288*x^3) + E^64*(192*x^2 + 64*x^3 - 96*x^4))) + E^(2*
x)*(E^32*(-36 + 24*x) + E^104*(-36 + 24*x) + E^36*(-192 - 192*x + 192*x^2) + E^40*(-1344*x - 336*x^2 + 672*x^3
) + E^44*(-4032*x^2 + 1344*x^4) + E^48*(-6720*x^3 + 840*x^4 + 1680*x^5) + E^52*(-6720*x^4 + 1344*x^5 + 1344*x^
6) + E^56*(-4032*x^5 + 1008*x^6 + 672*x^7) + E^60*(-1344*x^6 + 384*x^7 + 192*x^8) + E^64*(-192*x^7 + 60*x^8 +
24*x^9) + E^35*(E^60*(-288 + 192*x) + E^64*(-192 - 192*x + 192*x^2)) + E^30*(E^56*(-1008 + 672*x) + E^60*(-134
4 - 1344*x + 1344*x^2) + E^64*(-1344*x - 336*x^2 + 672*x^3)) + E^25*(E^52*(-2016 + 1344*x) + E^56*(-4032 - 403
2*x + 4032*x^2) + E^60*(-8064*x - 2016*x^2 + 4032*x^3) + E^64*(-4032*x^2 + 1344*x^4)) + E^20*(E^48*(-2520 + 16
80*x) + E^52*(-6720 - 6720*x + 6720*x^2) + E^56*(-20160*x - 5040*x^2 + 10080*x^3) + E^60*(-20160*x^2 + 6720*x^
4) + E^64*(-6720*x^3 + 840*x^4 + 1680*x^5)) + E^15*(E^44*(-2016 + 1344*x) + E^48*(-6720 - 6720*x + 6720*x^2) +
E^52*(-26880*x - 6720*x^2 + 13440*x^3) + E^56*(-40320*x^2 + 13440*x^4) + E^60*(-26880*x^3 + 3360*x^4 + 6720*x
^5) + E^64*(-6720*x^4 + 1344*x^5 + 1344*x^6)) + E^10*(E^40*(-1008 + 672*x) + E^44*(-4032 - 4032*x + 4032*x^2)
+ E^48*(-20160*x - 5040*x^2 + 10080*x^3) + E^52*(-40320*x^2 + 13440*x^4) + E^56*(-40320*x^3 + 5040*x^4 + 10080
*x^5) + E^60*(-20160*x^4 + 4032*x^5 + 4032*x^6) + E^64*(-4032*x^5 + 1008*x^6 + 672*x^7)) + E^5*(E^36*(-288 + 1
92*x) + E^40*(-1344 - 1344*x + 1344*x^2) + E^44*(-8064*x - 2016*x^2 + 4032*x^3) + E^48*(-20160*x^2 + 6720*x^4)
+ E^52*(-26880*x^3 + 3360*x^4 + 6720*x^5) + E^56*(-20160*x^4 + 4032*x^5 + 4032*x^6) + E^60*(-8064*x^5 + 2016*
x^6 + 1344*x^7) + E^64*(-1344*x^6 + 384*x^7 + 192*x^8))) + E^x*(E^16*(8 - 8*x) + E^124*(8 - 8*x) + E^20*(192 -
96*x^2) + E^24*(2112*x - 528*x^2 - 528*x^3) + E^28*(10560*x^2 - 3520*x^3 - 1760*x^4) + E^32*(31680*x^3 - 1188
0*x^4 - 3960*x^5) + E^36*(63360*x^4 - 25344*x^5 - 6336*x^6) + E^40*(88704*x^5 - 36960*x^6 - 7392*x^7) + E^44*(
88704*x^6 - 38016*x^7 - 6336*x^8) + E^48*(63360*x^7 - 27720*x^8 - 3960*x^9) + E^52*(31680*x^8 - 14080*x^9 - 17
60*x^10) + E^56*(10560*x^9 - 4752*x^10 - 528*x^11) + E^60*(2112*x^10 - 960*x^11 - 96*x^12) + E^64*(192*x^11 -
88*x^12 - 8*x^13) + E^55*(E^60*(96 - 96*x) + E^64*(192 - 96*x^2)) + E^50*(E^56*(528 - 528*x) + E^60*(2112 - 10
56*x^2) + E^64*(2112*x - 528*x^2 - 528*x^3)) + E^45*(E^52*(1760 - 1760*x) + E^56*(10560 - 5280*x^2) + E^60*(21
120*x - 5280*x^2 - 5280*x^3) + E^64*(10560*x^2 - 3520*x^3 - 1760*x^4)) + E^40*(E^48*(3960 - 3960*x) + E^52*(31
680 - 15840*x^2) + E^56*(95040*x - 23760*x^2 - 23760*x^3) + E^60*(95040*x^2 - 31680*x^3 - 15840*x^4) + E^64*(3
1680*x^3 - 11880*x^4 - 3960*x^5)) + E^35*(E^44*(6336 - 6336*x) + E^48*(63360 - 31680*x^2) + E^52*(253440*x - 6
3360*x^2 - 63360*x^3) + E^56*(380160*x^2 - 126720*x^3 - 63360*x^4) + E^60*(253440*x^3 - 95040*x^4 - 31680*x^5)
+ E^64*(63360*x^4 - 25344*x^5 - 6336*x^6)) + E^30*(E^40*(7392 - 7392*x) + E^44*(88704 - 44352*x^2) + E^48*(44
3520*x - 110880*x^2 - 110880*x^3) + E^52*(887040*x^2 - 295680*x^3 - 147840*x^4) + E^56*(887040*x^3 - 332640*x^
4 - 110880*x^5) + E^60*(443520*x^4 - 177408*x^5 - 44352*x^6) + E^64*(88704*x^5 - 36960*x^6 - 7392*x^7)) + E^25
*(E^36*(6336 - 6336*x) + E^40*(88704 - 44352*x^2) + E^44*(532224*x - 133056*x^2 - 133056*x^3) + E^48*(1330560*
x^2 - 443520*x^3 - 221760*x^4) + E^52*(1774080*x^3 - 665280*x^4 - 221760*x^5) + E^56*(1330560*x^4 - 532224*x^5
- 133056*x^6) + E^60*(532224*x^5 - 221760*x^6 - 44352*x^7) + E^64*(88704*x^6 - 38016*x^7 - 6336*x^8)) + E^20*
(E^32*(3960 - 3960*x) + E^36*(63360 - 31680*x^2) + E^40*(443520*x - 110880*x^2 - 110880*x^3) + E^44*(1330560*x
^2 - 443520*x^3 - 221760*x^4) + E^48*(2217600*x^3 - 831600*x^4 - 277200*x^5) + E^52*(2217600*x^4 - 887040*x^5
- 221760*x^6) + E^56*(1330560*x^5 - 554400*x^6 - 110880*x^7) + E^60*(443520*x^6 - 190080*x^7 - 31680*x^8) + E^
64*(63360*x^7 - 27720*x^8 - 3960*x^9)) + E^15*(E^28*(1760 - 1760*x) + E^32*(31680 - 15840*x^2) + E^36*(253440*
x - 63360*x^2 - 63360*x^3) + E^40*(887040*x^2 - 295680*x^3 - 147840*x^4) + E^44*(1774080*x^3 - 665280*x^4 - 22
1760*x^5) + E^48*(2217600*x^4 - 887040*x^5 - 221760*x^6) + E^52*(1774080*x^5 - 739200*x^6 - 147840*x^7) + E^56
*(887040*x^6 - 380160*x^7 - 63360*x^8) + E^60*(253440*x^7 - 110880*x^8 - 15840*x^9) + E^64*(31680*x^8 - 14080*
x^9 - 1760*x^10)) + E^10*(E^24*(528 - 528*x) + E^28*(10560 - 5280*x^2) + E^32*(95040*x - 23760*x^2 - 23760*x^3
) + E^36*(380160*x^2 - 126720*x^3 - 63360*x^4) + E^40*(887040*x^3 - 332640*x^4 - 110880*x^5) + E^44*(1330560*x
^4 - 532224*x^5 - 133056*x^6) + E^48*(1330560*x^5 - 554400*x^6 - 110880*x^7) + E^52*(887040*x^6 - 380160*x^7 -
63360*x^8) + E^56*(380160*x^7 - 166320*x^8 - 23760*x^9) + E^60*(95040*x^8 - 42240*x^9 - 5280*x^10) + E^64*(10
560*x^9 - 4752*x^10 - 528*x^11)) + E^5*(E^20*(96 - 96*x) + E^24*(2112 - 1056*x^2) + E^28*(21120*x - 5280*x^2 -
5280*x^3) + E^32*(95040*x^2 - 31680*x^3 - 15840*x^4) + E^36*(253440*x^3 - 95040*x^4 - 31680*x^5) + E^40*(4435
20*x^4 - 177408*x^5 - 44352*x^6) + E^44*(532224*x^5 - 221760*x^6 - 44352*x^7) + E^48*(443520*x^6 - 190080*x^7
- 31680*x^8) + E^52*(253440*x^7 - 110880*x^8 - 15840*x^9) + E^56*(95040*x^8 - 42240*x^9 - 5280*x^10) + E^60*(2
1120*x^9 - 9504*x^10 - 1056*x^11) + E^64*(2112*x^10 - 960*x^11 - 96*x^12))))/E^64,x]
[Out]
-1/2*E^(4*x) - 45984153600*E^(5 + x) + 21076070400*E^(10 + x) - 6386688000*E^(15 + x) + 1437004800*E^(20 + x)
- 255467520*E^(25 + x) + 37255680*E^(30 + x) - 4561920*E^(35 + x) + 475200*E^(40 + x) - 42240*E^(45 + x) + 316
8*E^(50 + x) + 96*E^(51 + x) - 192*E^(55 + x) + 15120*E^(5 + 2*x) - 13230*E^(10 + 2*x) + 7560*E^(15 + 2*x) - 3
150*E^(20 + 2*x) + 504*E^(21 + 2*x) + 1008*E^(25 + 2*x) - 252*E^(30 + 2*x) + 48*E^(35 + 2*x) - (256*E^(5 + 3*x
))/27 + (32*E^(10 + 3*x))/3 - (64*E^(15 + 3*x))/9 - 3832012800*E^(1 + x)*(1 - 10*E^4) + 1916006400*E^(6 + x)*(
1 - 9*E^4) - 638668800*E^(11 + x)*(1 - 8*E^4) + 159667200*E^(16 + x)*(1 - 7*E^4) - 31933440*E^(21 + x)*(1 - 6*
E^4) + 5322240*E^(26 + x)*(1 - 5*E^4) - 760320*E^(31 + x)*(1 - 4*E^4) + (32*E^(11 + 3*x)*(3 - 4*E^4))/9 + 9504
0*E^(36 + x)*(1 - 3*E^4) - 1890*E^(6 + 2*x)*(2 - 3*E^4) - 10560*E^(41 + x)*(1 - 2*E^4) + 3780*E^(1 + 2*x)*(1 -
2*E^4) + 2520*E^(11 + 2*x)*(1 - E^4) - 48*E^(31 + 2*x)*(1 - E^4) - 630*E^(16 + 2*x)*(2 - E^4) - (32*E^(6 + 3*
x)*(2 - E^4))/3 + 84*E^(26 + 2*x)*(4 - E^4) - 1056*E^(46 + x)*(2 + E^4) + 3832012800*E^(1 + x)*(1 + 2*E^4) - 1
916006400*E^(6 + x)*(1 + 2*E^4) + 638668800*E^(11 + x)*(1 + 2*E^4) - 159667200*E^(16 + x)*(1 + 2*E^4) + 319334
40*E^(21 + x)*(1 + 2*E^4) - 5322240*E^(26 + x)*(1 + 2*E^4) + 760320*E^(31 + x)*(1 + 2*E^4) - 95040*E^(36 + x)*
(1 + 2*E^4) + 10560*E^(41 + x)*(1 + 2*E^4) + 96*E^(51 + x)*(1 + 2*E^4) - 3780*E^(1 + 2*x)*(1 + 2*E^4) + 3780*E
^(6 + 2*x)*(1 + 2*E^4) - 2520*E^(11 + 2*x)*(1 + 2*E^4) + 1260*E^(16 + 2*x)*(1 + 2*E^4) - 504*E^(21 + 2*x)*(1 +
2*E^4) + (64*E^(1 + 3*x)*(1 + 2*E^4))/9 - 48*E^(31 + 2*x)*(3 + 2*E^4) - (64*E^(1 + 3*x)*(3 + 2*E^4))/27 + (32
*E^(11 + 3*x)*(5 + 2*E^4))/3 + 528*E^(42 + x)*(1 + 4*E^4) - 168*E^(22 + 2*x)*(3 + 4*E^4) + 16*E^(2 + 3*x)*(5 +
4*E^4) + 528*E^(42 + x)*(1 - 4*E^8) + (16*E^(2 + 3*x)*(3 - 8*E^4 - 4*E^8))/3 - 168*E^(22 + 2*x)*(1 - 2*E^4 -
2*E^8) + (8*E^(-16 + 3*x)*(1 + E^36))/3 - 6*E^(-32 + 2*x)*(1 + E^72) + 8*E^(-48 + x)*(1 + E^108) + (8*(E^60 -
2*E^64*(1 - x))^2)/E^53 - (E^(4*x)*(7 - 4*x))/2 + (8*E^(-16 + 3*x)*(1 + E^36)*(5 - 3*x))/3 - 6*E^(-32 + 2*x)*(
1 + E^72)*(3 - 2*x) + 8*E^(-48 + x)*(1 + E^108)*(1 - x) + (32*(1 - x)^2)/E^60 + (480*(1 - x)^2)/E^51 + (3360*(
1 - x)^2)/E^42 + (14560*(1 - x)^2)/E^33 + (43680*(1 - x)^2)/E^24 + (96096*(1 - x)^2)/E^15 + (160160*(1 - x)^2)
/E^6 + 205920*E^3*(1 - x)^2 + 205920*E^12*(1 - x)^2 + 160160*E^21*(1 - x)^2 + 96096*E^30*(1 - x)^2 + 43680*E^3
9*(1 - x)^2 + 14560*E^48*(1 - x)^2 + 3360*E^57*(1 - x)^2 + 480*E^66*(1 - x)^2 + (32*x)/E^55 + (240*x)/E^46 + (
1120*x)/E^37 + (3640*x)/E^28 + (8736*x)/E^19 + (16016*x)/E^10 + (22880*x)/E + 25740*E^8*x + 22880*E^17*x + 160
16*E^26*x + 8736*E^35*x + 3640*E^44*x + 1120*E^53*x + 240*E^62*x + 192*E^(-44 + x)*x - 3168*E^(50 + x)*x - 96*
E^(51 + x)*x + 192*E^(55 + x)*x - 192*E^(-28 + 2*x)*x + 504*E^(30 + 2*x)*x - 96*E^(35 + 2*x)*x + 64*E^(-12 + 3
*x)*x - 32*E^(10 + 3*x)*x + (64*E^(15 + 3*x)*x)/3 - (32*E^(11 + 3*x)*(3 - 4*E^4)*x)/3 + 96*E^(31 + 2*x)*(1 - E
^4)*x + 32*E^(6 + 3*x)*(2 - E^4)*x - 168*E^(26 + 2*x)*(4 - E^4)*x + 1056*E^(46 + x)*(2 + E^4)*x - 528*E^(42 +
x)*(1 - 4*E^8)*x - 16*E^(2 + 3*x)*(3 - 8*E^4 - 4*E^8)*x + 336*E^(22 + 2*x)*(1 - 2*E^4 - 2*E^8)*x + (2*(1 + E^1
44)*x)/E^64 - (480*x^2)/E^56 - (6720*x^2)/E^47 - (43680*x^2)/E^38 - (174720*x^2)/E^29 - (480480*x^2)/E^20 - (9
60960*x^2)/E^11 - (1441440*x^2)/E^2 - 1647360*E^7*x^2 - 1441440*E^16*x^2 - 960960*E^25*x^2 - 480480*E^34*x^2 -
174720*E^43*x^2 - 43680*E^52*x^2 - 6720*E^61*x^2 - 480*E^70*x^2 - 96*E^(-44 + x)*x^2 + 1056*E^(-40 + x)*x^2 +
1584*E^(50 + x)*x^2 - 96*E^(55 + x)*x^2 + 96*E^(-28 + 2*x)*x^2 - 672*E^(-24 + 2*x)*x^2 - 504*E^(30 + 2*x)*x^2
+ 96*E^(35 + 2*x)*x^2 - 32*E^(-12 + 3*x)*x^2 + 96*E^(-8 + 3*x)*x^2 + 48*E^(10 + 3*x)*x^2 - 32*E^(15 + 3*x)*x^
2 - 48*E^(6 + 3*x)*(2 - E^4)*x^2 + 168*E^(26 + 2*x)*(4 - E^4)*x^2 - 528*E^(46 + x)*(2 + E^4)*x^2 + (240*x^3)/E
^56 - (2240*x^3)/E^52 + (3360*x^3)/E^47 - (29120*x^3)/E^43 + (21840*x^3)/E^38 - (174720*x^3)/E^34 + (87360*x^3
)/E^29 - (640640*x^3)/E^25 + (240240*x^3)/E^20 - (1601600*x^3)/E^16 + (480480*x^3)/E^11 - (2882880*x^3)/E^7 +
(720720*x^3)/E^2 - 3843840*E^2*x^3 + 823680*E^7*x^3 - 3843840*E^11*x^3 + 720720*E^16*x^3 - 2882880*E^20*x^3 +
480480*E^25*x^3 - 1601600*E^29*x^3 + 240240*E^34*x^3 - 640640*E^38*x^3 + 87360*E^43*x^3 - 174720*E^47*x^3 + 21
840*E^52*x^3 - 29120*E^56*x^3 + 3360*E^61*x^3 - 2240*E^65*x^3 + 240*E^70*x^3 - 528*E^(-40 + x)*x^3 + 3520*E^(-
36 + x)*x^3 - 528*E^(50 + x)*x^3 + 336*E^(-24 + 2*x)*x^3 - 1344*E^(-20 + 2*x)*x^3 + 336*E^(30 + 2*x)*x^3 - 48*
E^(-8 + 3*x)*x^3 + 64*E^(-4 + 3*x)*x^3 - 48*E^(10 + 3*x)*x^3 + (1120*x^4)/E^52 - (7280*x^4)/E^48 + (14560*x^4)
/E^43 - (87360*x^4)/E^39 + (87360*x^4)/E^34 - (480480*x^4)/E^30 + (320320*x^4)/E^25 - (1601600*x^4)/E^21 + (80
0800*x^4)/E^16 - (3603600*x^4)/E^12 + (1441440*x^4)/E^7 - (5765760*x^4)/E^3 + 1921920*E^2*x^4 - 6726720*E^6*x^
4 + 1921920*E^11*x^4 - 5765760*E^15*x^4 + 1441440*E^20*x^4 - 3603600*E^24*x^4 + 800800*E^29*x^4 - 1601600*E^33
*x^4 + 320320*E^38*x^4 - 480480*E^42*x^4 + 87360*E^47*x^4 - 87360*E^51*x^4 + 14560*E^56*x^4 - 7280*E^60*x^4 +
1120*E^65*x^4 - 1760*E^(-36 + x)*x^4 + 7920*E^(-32 + x)*x^4 + 16*E^(3*x)*x^4 + 672*E^(-20 + 2*x)*x^4 - 1680*E^
(-16 + 2*x)*x^4 - 32*E^(-4 + 3*x)*x^4 + (3640*x^5)/E^48 - (17472*x^5)/E^44 + (43680*x^5)/E^39 - (192192*x^5)/E
^35 + (240240*x^5)/E^30 - (960960*x^5)/E^26 + (800800*x^5)/E^21 - (2882880*x^5)/E^17 + (1801800*x^5)/E^12 - (5
765760*x^5)/E^8 + (2882880*x^5)/E^3 - 8072064*E*x^5 + 3363360*E^6*x^5 - 8072064*E^10*x^5 + 2882880*E^15*x^5 -
5765760*E^19*x^5 + 1801800*E^24*x^5 - 2882880*E^28*x^5 + 800800*E^33*x^5 - 960960*E^37*x^5 + 240240*E^42*x^5 -
192192*E^46*x^5 + 43680*E^51*x^5 - 17472*E^55*x^5 + 3640*E^60*x^5 - 3960*E^(-32 + x)*x^5 + 12672*E^(-28 + x)*
x^5 - 8*E^(3*x)*x^5 + 840*E^(-16 + 2*x)*x^5 - 1344*E^(-12 + 2*x)*x^5 + (8736*x^6)/E^44 - (32032*x^6)/E^40 + (9
6096*x^6)/E^35 - (320320*x^6)/E^31 + (480480*x^6)/E^26 - (1441440*x^6)/E^22 + (1441440*x^6)/E^17 - (3843840*x^
6)/E^13 + (2882880*x^6)/E^8 - (6726720*x^6)/E^4 + 4036032*E*x^6 - 8072064*E^5*x^6 + 4036032*E^10*x^6 - 6726720
*E^14*x^6 + 2882880*E^19*x^6 - 3843840*E^23*x^6 + 1441440*E^28*x^6 - 1441440*E^32*x^6 + 480480*E^37*x^6 - 3203
20*E^41*x^6 + 96096*E^46*x^6 - 32032*E^50*x^6 + 8736*E^55*x^6 - 6336*E^(-28 + x)*x^6 + 14784*E^(-24 + x)*x^6 +
672*E^(-12 + 2*x)*x^6 - 672*E^(-8 + 2*x)*x^6 - 5765760*x^7 + (16016*x^7)/E^40 - (45760*x^7)/E^36 + (160160*x^
7)/E^31 - (411840*x^7)/E^27 + (720720*x^7)/E^22 - (1647360*x^7)/E^18 + (1921920*x^7)/E^13 - (3843840*x^7)/E^9
+ (3363360*x^7)/E^4 + 4036032*E^5*x^7 - 5765760*E^9*x^7 + 3363360*E^14*x^7 - 3843840*E^18*x^7 + 1921920*E^23*x
^7 - 1647360*E^27*x^7 + 720720*E^32*x^7 - 411840*E^36*x^7 + 160160*E^41*x^7 - 45760*E^45*x^7 + 16016*E^50*x^7
- 7392*E^(-24 + x)*x^7 + 12672*E^(-20 + x)*x^7 + 336*E^(-8 + 2*x)*x^7 - 192*E^(-4 + 2*x)*x^7 + 2882880*x^8 + (
22880*x^8)/E^36 - (51480*x^8)/E^32 + (205920*x^8)/E^27 - (411840*x^8)/E^23 + (823680*x^8)/E^18 - (1441440*x^8)
/E^14 + (1921920*x^8)/E^9 - (2882880*x^8)/E^5 - 3603600*E^4*x^8 + 2882880*E^9*x^8 - 2882880*E^13*x^8 + 1921920
*E^18*x^8 - 1441440*E^22*x^8 + 823680*E^27*x^8 - 411840*E^31*x^8 + 205920*E^36*x^8 - 51480*E^40*x^8 + 22880*E^
45*x^8 - 6336*E^(-20 + x)*x^8 + 7920*E^(-16 + x)*x^8 - 24*E^(2*x)*x^8 + 96*E^(-4 + 2*x)*x^8 + (25740*x^9)/E^32
- (45760*x^9)/E^28 + (205920*x^9)/E^23 - (320320*x^9)/E^19 + (720720*x^9)/E^14 - (960960*x^9)/E^10 + (1441440
*x^9)/E^5 - (1601600*x^9)/E + 1801800*E^4*x^9 - 1601600*E^8*x^9 + 1441440*E^13*x^9 - 960960*E^17*x^9 + 720720*
E^22*x^9 - 320320*E^26*x^9 + 205920*E^31*x^9 - 45760*E^35*x^9 + 25740*E^40*x^9 - 3960*E^(-16 + x)*x^9 + 3520*E
^(-12 + x)*x^9 + 12*E^(2*x)*x^9 + (22880*x^10)/E^28 - (32032*x^10)/E^24 + (160160*x^10)/E^19 - (192192*x^10)/E
^15 + (480480*x^10)/E^10 - (480480*x^10)/E^6 + (800800*x^10)/E - 640640*E^3*x^10 + 800800*E^8*x^10 - 480480*E^
12*x^10 + 480480*E^17*x^10 - 192192*E^21*x^10 + 160160*E^26*x^10 - 32032*E^30*x^10 + 22880*E^35*x^10 - 1760*E^
(-12 + x)*x^10 + 1056*E^(-8 + x)*x^10 + (16016*x^11)/E^24 - (17472*x^11)/E^20 + (96096*x^11)/E^15 - (87360*x^1
1)/E^11 + (240240*x^11)/E^6 - (174720*x^11)/E^2 + 320320*E^3*x^11 - 174720*E^7*x^11 + 240240*E^12*x^11 - 87360
*E^16*x^11 + 96096*E^21*x^11 - 17472*E^25*x^11 + 16016*E^30*x^11 - 528*E^(-8 + x)*x^11 + 192*E^(-4 + x)*x^11 +
(8736*x^12)/E^20 - (7280*x^12)/E^16 + (43680*x^12)/E^11 - (29120*x^12)/E^7 + (87360*x^12)/E^2 - 43680*E^2*x^1
2 + 87360*E^7*x^12 - 29120*E^11*x^12 + 43680*E^16*x^12 - 7280*E^20*x^12 + 8736*E^25*x^12 - 96*E^(-4 + x)*x^12
+ 16*E^x*x^12 + (3640*x^13)/E^16 - (2240*x^13)/E^12 + (14560*x^13)/E^7 - (6720*x^13)/E^3 + 21840*E^2*x^13 - 67
20*E^6*x^13 + 14560*E^11*x^13 - 2240*E^15*x^13 + 3640*E^20*x^13 - 8*E^x*x^13 + (1120*x^14)/E^12 - (480*x^14)/E
^8 + (3360*x^14)/E^3 - 960*E*x^14 + 3360*E^6*x^14 - 480*E^10*x^14 + 1120*E^15*x^14 + (240*x^15)/E^8 - (64*x^15
)/E^4 + 480*E*x^15 - 64*E^5*x^15 + 240*E^10*x^15 - 4*x^16 + (32*x^16)/E^4 + 32*E^5*x^16 + 2*x^17 + 45984153600
*E^(1 + x)*(1 + E^4*x) - 21076070400*E^(6 + x)*(1 + E^4*x) + 6386688000*E^(11 + x)*(1 + E^4*x) - 1437004800*E^
(16 + x)*(1 + E^4*x) + 255467520*E^(21 + x)*(1 + E^4*x) - 37255680*E^(26 + x)*(1 + E^4*x) + 4561920*E^(31 + x)
*(1 + E^4*x) - 475200*E^(36 + x)*(1 + E^4*x) + 42240*E^(41 + x)*(1 + E^4*x) - 30240*E^(1 + 2*x)*(1 + E^4*x) +
26460*E^(6 + 2*x)*(1 + E^4*x) - 15120*E^(11 + 2*x)*(1 + E^4*x) + 6300*E^(16 + 2*x)*(1 + E^4*x) - 1008*E^(17 +
2*x)*(1 + E^4*x) - 2016*E^(21 + 2*x)*(1 + E^4*x) + (256*E^(1 + 3*x)*(1 + E^4*x))/9 + 3832012800*E^(-3 + x)*(1
- 10*E^4)*(1 + E^4*x) - 1916006400*E^(2 + x)*(1 - 9*E^4)*(1 + E^4*x) + 638668800*E^(7 + x)*(1 - 8*E^4)*(1 + E^
4*x) - 159667200*E^(12 + x)*(1 - 7*E^4)*(1 + E^4*x) + 31933440*E^(17 + x)*(1 - 6*E^4)*(1 + E^4*x) - 5322240*E^
(22 + x)*(1 - 5*E^4)*(1 + E^4*x) + 760320*E^(27 + x)*(1 - 4*E^4)*(1 + E^4*x) - 95040*E^(32 + x)*(1 - 3*E^4)*(1
+ E^4*x) + 3780*E^(2 + 2*x)*(2 - 3*E^4)*(1 + E^4*x) + 10560*E^(37 + x)*(1 - 2*E^4)*(1 + E^4*x) - 7560*E^(-3 +
2*x)*(1 - 2*E^4)*(1 + E^4*x) - 5040*E^(7 + 2*x)*(1 - E^4)*(1 + E^4*x) + 1260*E^(12 + 2*x)*(2 - E^4)*(1 + E^4*
x) - 3832012800*E^(-3 + x)*(1 + 2*E^4)*(1 + E^4*x) + 1916006400*E^(2 + x)*(1 + 2*E^4)*(1 + E^4*x) - 638668800*
E^(7 + x)*(1 + 2*E^4)*(1 + E^4*x) + 159667200*E^(12 + x)*(1 + 2*E^4)*(1 + E^4*x) - 31933440*E^(17 + x)*(1 + 2*
E^4)*(1 + E^4*x) + 5322240*E^(22 + x)*(1 + 2*E^4)*(1 + E^4*x) - 760320*E^(27 + x)*(1 + 2*E^4)*(1 + E^4*x) + 95
040*E^(32 + x)*(1 + 2*E^4)*(1 + E^4*x) - 10560*E^(37 + x)*(1 + 2*E^4)*(1 + E^4*x) + 7560*E^(-3 + 2*x)*(1 + 2*E
^4)*(1 + E^4*x) - 7560*E^(2 + 2*x)*(1 + 2*E^4)*(1 + E^4*x) + 5040*E^(7 + 2*x)*(1 + 2*E^4)*(1 + E^4*x) - 2520*E
^(12 + 2*x)*(1 + 2*E^4)*(1 + E^4*x) + 1008*E^(17 + 2*x)*(1 + 2*E^4)*(1 + E^4*x) - (64*E^(-3 + 3*x)*(1 + 2*E^4)
*(1 + E^4*x))/3 + (64*E^(-3 + 3*x)*(3 + 2*E^4)*(1 + E^4*x))/9 - 22992076800*E^(-3 + x)*(1 + E^4*x)^2 + 1053803
5200*E^(2 + x)*(1 + E^4*x)^2 - 3193344000*E^(7 + x)*(1 + E^4*x)^2 + 718502400*E^(12 + x)*(1 + E^4*x)^2 - 12773
3760*E^(17 + x)*(1 + E^4*x)^2 + 18627840*E^(22 + x)*(1 + E^4*x)^2 - 2280960*E^(27 + x)*(1 + E^4*x)^2 + 237600*
E^(32 + x)*(1 + E^4*x)^2 - 21120*E^(37 + x)*(1 + E^4*x)^2 + 30240*E^(-3 + 2*x)*(1 + E^4*x)^2 - 26460*E^(2 + 2*
x)*(1 + E^4*x)^2 + 15120*E^(7 + 2*x)*(1 + E^4*x)^2 - 6300*E^(12 + 2*x)*(1 + E^4*x)^2 + 1008*E^(13 + 2*x)*(1 +
E^4*x)^2 + 2016*E^(17 + 2*x)*(1 + E^4*x)^2 - (128*E^(-3 + 3*x)*(1 + E^4*x)^2)/3 - 1916006400*E^(-7 + x)*(1 - 1
0*E^4)*(1 + E^4*x)^2 + 958003200*E^(-2 + x)*(1 - 9*E^4)*(1 + E^4*x)^2 - 319334400*E^(3 + x)*(1 - 8*E^4)*(1 + E
^4*x)^2 + 79833600*E^(8 + x)*(1 - 7*E^4)*(1 + E^4*x)^2 - 15966720*E^(13 + x)*(1 - 6*E^4)*(1 + E^4*x)^2 + 26611
20*E^(18 + x)*(1 - 5*E^4)*(1 + E^4*x)^2 - 380160*E^(23 + x)*(1 - 4*E^4)*(1 + E^4*x)^2 + 47520*E^(28 + x)*(1 -
3*E^4)*(1 + E^4*x)^2 - 3780*E^(-2 + 2*x)*(2 - 3*E^4)*(1 + E^4*x)^2 - 5280*E^(33 + x)*(1 - 2*E^4)*(1 + E^4*x)^2
+ 7560*E^(-7 + 2*x)*(1 - 2*E^4)*(1 + E^4*x)^2 + 5040*E^(3 + 2*x)*(1 - E^4)*(1 + E^4*x)^2 - 1260*E^(8 + 2*x)*(
2 - E^4)*(1 + E^4*x)^2 + 1916006400*E^(-7 + x)*(1 + 2*E^4)*(1 + E^4*x)^2 - 958003200*E^(-2 + x)*(1 + 2*E^4)*(1
+ E^4*x)^2 + 319334400*E^(3 + x)*(1 + 2*E^4)*(1 + E^4*x)^2 - 79833600*E^(8 + x)*(1 + 2*E^4)*(1 + E^4*x)^2 + 1
5966720*E^(13 + x)*(1 + 2*E^4)*(1 + E^4*x)^2 - 2661120*E^(18 + x)*(1 + 2*E^4)*(1 + E^4*x)^2 + 380160*E^(23 + x
)*(1 + 2*E^4)*(1 + E^4*x)^2 - 47520*E^(28 + x)*(1 + 2*E^4)*(1 + E^4*x)^2 + 5280*E^(33 + x)*(1 + 2*E^4)*(1 + E^
4*x)^2 - 7560*E^(-7 + 2*x)*(1 + 2*E^4)*(1 + E^4*x)^2 + 7560*E^(-2 + 2*x)*(1 + 2*E^4)*(1 + E^4*x)^2 - 5040*E^(3
+ 2*x)*(1 + 2*E^4)*(1 + E^4*x)^2 + 2520*E^(8 + 2*x)*(1 + 2*E^4)*(1 + E^4*x)^2 - 1008*E^(13 + 2*x)*(1 + 2*E^4)
*(1 + E^4*x)^2 + 32*E^(-7 + 3*x)*(1 + 2*E^4)*(1 + E^4*x)^2 - (32*E^(-7 + 3*x)*(3 + 2*E^4)*(1 + E^4*x)^2)/3 + 7
664025600*E^(-7 + x)*(1 + E^4*x)^3 - 3512678400*E^(-2 + x)*(1 + E^4*x)^3 + 1064448000*E^(3 + x)*(1 + E^4*x)^3
- 239500800*E^(8 + x)*(1 + E^4*x)^3 + 42577920*E^(13 + x)*(1 + E^4*x)^3 - 6209280*E^(18 + x)*(1 + E^4*x)^3 + 7
60320*E^(23 + x)*(1 + E^4*x)^3 - 79200*E^(28 + x)*(1 + E^4*x)^3 + 7040*E^(33 + x)*(1 + E^4*x)^3 - 20160*E^(-7
+ 2*x)*(1 + E^4*x)^3 + 17640*E^(-2 + 2*x)*(1 + E^4*x)^3 - 10080*E^(3 + 2*x)*(1 + E^4*x)^3 + 4200*E^(8 + 2*x)*(
1 + E^4*x)^3 - 672*E^(9 + 2*x)*(1 + E^4*x)^3 - 1344*E^(13 + 2*x)*(1 + E^4*x)^3 + (128*E^(-7 + 3*x)*(1 + E^4*x)
^3)/3 + 638668800*E^(-11 + x)*(1 - 10*E^4)*(1 + E^4*x)^3 - 319334400*E^(-6 + x)*(1 - 9*E^4)*(1 + E^4*x)^3 + 10
6444800*E^(-1 + x)*(1 - 8*E^4)*(1 + E^4*x)^3 - 26611200*E^(4 + x)*(1 - 7*E^4)*(1 + E^4*x)^3 + 5322240*E^(9 + x
)*(1 - 6*E^4)*(1 + E^4*x)^3 - 887040*E^(14 + x)*(1 - 5*E^4)*(1 + E^4*x)^3 + 126720*E^(19 + x)*(1 - 4*E^4)*(1 +
E^4*x)^3 - 15840*E^(24 + x)*(1 - 3*E^4)*(1 + E^4*x)^3 + 2520*E^(-6 + 2*x)*(2 - 3*E^4)*(1 + E^4*x)^3 + 1760*E^
(29 + x)*(1 - 2*E^4)*(1 + E^4*x)^3 - 5040*E^(-11 + 2*x)*(1 - 2*E^4)*(1 + E^4*x)^3 - 3360*E^(-1 + 2*x)*(1 - E^4
)*(1 + E^4*x)^3 + 840*E^(4 + 2*x)*(2 - E^4)*(1 + E^4*x)^3 - 638668800*E^(-11 + x)*(1 + 2*E^4)*(1 + E^4*x)^3 +
319334400*E^(-6 + x)*(1 + 2*E^4)*(1 + E^4*x)^3 - 106444800*E^(-1 + x)*(1 + 2*E^4)*(1 + E^4*x)^3 + 26611200*E^(
4 + x)*(1 + 2*E^4)*(1 + E^4*x)^3 - 5322240*E^(9 + x)*(1 + 2*E^4)*(1 + E^4*x)^3 + 887040*E^(14 + x)*(1 + 2*E^4)
*(1 + E^4*x)^3 - 126720*E^(19 + x)*(1 + 2*E^4)*(1 + E^4*x)^3 + 15840*E^(24 + x)*(1 + 2*E^4)*(1 + E^4*x)^3 + 50
40*E^(-11 + 2*x)*(1 + 2*E^4)*(1 + E^4*x)^3 - 5040*E^(-6 + 2*x)*(1 + 2*E^4)*(1 + E^4*x)^3 + 3360*E^(-1 + 2*x)*(
1 + 2*E^4)*(1 + E^4*x)^3 - 1680*E^(4 + 2*x)*(1 + 2*E^4)*(1 + E^4*x)^3 + (32*E^(-11 + 3*x)*(3 + 2*E^4)*(1 + E^4
*x)^3)/3 - 1916006400*E^(-11 + x)*(1 + E^4*x)^4 + 878169600*E^(-6 + x)*(1 + E^4*x)^4 - 266112000*E^(-1 + x)*(1
+ E^4*x)^4 + 59875200*E^(4 + x)*(1 + E^4*x)^4 - 10644480*E^(9 + x)*(1 + E^4*x)^4 + 1552320*E^(14 + x)*(1 + E^
4*x)^4 - 190080*E^(19 + x)*(1 + E^4*x)^4 + 19800*E^(24 + x)*(1 + E^4*x)^4 - 1760*E^(29 + x)*(1 + E^4*x)^4 + 10
080*E^(-11 + 2*x)*(1 + E^4*x)^4 - 8820*E^(-6 + 2*x)*(1 + E^4*x)^4 + 5040*E^(-1 + 2*x)*(1 + E^4*x)^4 - 2100*E^(
4 + 2*x)*(1 + E^4*x)^4 + 672*E^(9 + 2*x)*(1 + E^4*x)^4 - 32*E^(-11 + 3*x)*(1 + E^4*x)^4 - 159667200*E^(-15 + x
)*(1 - 10*E^4)*(1 + E^4*x)^4 + 79833600*E^(-10 + x)*(1 - 9*E^4)*(1 + E^4*x)^4 - 26611200*E^(-5 + x)*(1 - 8*E^4
)*(1 + E^4*x)^4 + 6652800*E^x*(1 - 7*E^4)*(1 + E^4*x)^4 - 1330560*E^(5 + x)*(1 - 6*E^4)*(1 + E^4*x)^4 + 221760
*E^(10 + x)*(1 - 5*E^4)*(1 + E^4*x)^4 - 31680*E^(15 + x)*(1 - 4*E^4)*(1 + E^4*x)^4 + 3960*E^(20 + x)*(1 - 3*E^
4)*(1 + E^4*x)^4 - 1260*E^(-10 + 2*x)*(2 - 3*E^4)*(1 + E^4*x)^4 + 2520*E^(-15 + 2*x)*(1 - 2*E^4)*(1 + E^4*x)^4
+ 1680*E^(-5 + 2*x)*(1 - E^4)*(1 + E^4*x)^4 - 420*E^(2*x)*(2 - E^4)*(1 + E^4*x)^4 + 159667200*E^(-15 + x)*(1
+ 2*E^4)*(1 + E^4*x)^4 - 79833600*E^(-10 + x)*(1 + 2*E^4)*(1 + E^4*x)^4 + 26611200*E^(-5 + x)*(1 + 2*E^4)*(1 +
E^4*x)^4 - 6652800*E^x*(1 + 2*E^4)*(1 + E^4*x)^4 + 1330560*E^(5 + x)*(1 + 2*E^4)*(1 + E^4*x)^4 - 221760*E^(10
+ x)*(1 + 2*E^4)*(1 + E^4*x)^4 + 31680*E^(15 + x)*(1 + 2*E^4)*(1 + E^4*x)^4 - 2520*E^(-15 + 2*x)*(1 + 2*E^4)*
(1 + E^4*x)^4 + 2520*E^(-10 + 2*x)*(1 + 2*E^4)*(1 + E^4*x)^4 - 1680*E^(-5 + 2*x)*(1 + 2*E^4)*(1 + E^4*x)^4 + 3
83201280*E^(-15 + x)*(1 + E^4*x)^5 - 175633920*E^(-10 + x)*(1 + E^4*x)^5 + 53222400*E^(-5 + x)*(1 + E^4*x)^5 -
11975040*E^x*(1 + E^4*x)^5 + 840*E^(2*x)*(1 + E^4*x)^5 + 2128896*E^(5 + x)*(1 + E^4*x)^5 - 310464*E^(10 + x)*
(1 + E^4*x)^5 + 38016*E^(15 + x)*(1 + E^4*x)^5 - 3960*E^(20 + x)*(1 + E^4*x)^5 - 4032*E^(-15 + 2*x)*(1 + E^4*x
)^5 + 3528*E^(-10 + 2*x)*(1 + E^4*x)^5 - 2016*E^(-5 + 2*x)*(1 + E^4*x)^5 + 31933440*E^(-19 + x)*(1 - 10*E^4)*(
1 + E^4*x)^5 - 15966720*E^(-14 + x)*(1 - 9*E^4)*(1 + E^4*x)^5 + 5322240*E^(-9 + x)*(1 - 8*E^4)*(1 + E^4*x)^5 -
1330560*E^(-4 + x)*(1 - 7*E^4)*(1 + E^4*x)^5 + 266112*E^(1 + x)*(1 - 6*E^4)*(1 + E^4*x)^5 - 44352*E^(6 + x)*(
1 - 5*E^4)*(1 + E^4*x)^5 + 6336*E^(11 + x)*(1 - 4*E^4)*(1 + E^4*x)^5 + 504*E^(-14 + 2*x)*(2 - 3*E^4)*(1 + E^4*
x)^5 - 1008*E^(-19 + 2*x)*(1 - 2*E^4)*(1 + E^4*x)^5 - 672*E^(-9 + 2*x)*(1 - E^4)*(1 + E^4*x)^5 - 31933440*E^(-
19 + x)*(1 + 2*E^4)*(1 + E^4*x)^5 + 15966720*E^(-14 + x)*(1 + 2*E^4)*(1 + E^4*x)^5 - 5322240*E^(-9 + x)*(1 + 2
*E^4)*(1 + E^4*x)^5 + 1330560*E^(-4 + x)*(1 + 2*E^4)*(1 + E^4*x)^5 - 266112*E^(1 + x)*(1 + 2*E^4)*(1 + E^4*x)^
5 + 44352*E^(6 + x)*(1 + 2*E^4)*(1 + E^4*x)^5 + 1008*E^(-19 + 2*x)*(1 + 2*E^4)*(1 + E^4*x)^5 - 1008*E^(-14 + 2
*x)*(1 + 2*E^4)*(1 + E^4*x)^5 - 63866880*E^(-19 + x)*(1 + E^4*x)^6 + 29272320*E^(-14 + x)*(1 + E^4*x)^6 - 8870
400*E^(-9 + x)*(1 + E^4*x)^6 + 1995840*E^(-4 + x)*(1 + E^4*x)^6 - 354816*E^(1 + x)*(1 + E^4*x)^6 + 51744*E^(6
+ x)*(1 + E^4*x)^6 - 6336*E^(11 + x)*(1 + E^4*x)^6 + 1344*E^(-19 + 2*x)*(1 + E^4*x)^6 - 1176*E^(-14 + 2*x)*(1
+ E^4*x)^6 + 672*E^(-9 + 2*x)*(1 + E^4*x)^6 - 5322240*E^(-23 + x)*(1 - 10*E^4)*(1 + E^4*x)^6 + 2661120*E^(-18
+ x)*(1 - 9*E^4)*(1 + E^4*x)^6 - 887040*E^(-13 + x)*(1 - 8*E^4)*(1 + E^4*x)^6 + 221760*E^(-8 + x)*(1 - 7*E^4)*
(1 + E^4*x)^6 - 44352*E^(-3 + x)*(1 - 6*E^4)*(1 + E^4*x)^6 + 7392*E^(2 + x)*(1 - 5*E^4)*(1 + E^4*x)^6 - 168*E^
(-18 + 2*x)*(2 - 3*E^4)*(1 + E^4*x)^6 + 336*E^(-23 + 2*x)*(1 - 2*E^4)*(1 + E^4*x)^6 + 5322240*E^(-23 + x)*(1 +
2*E^4)*(1 + E^4*x)^6 - 2661120*E^(-18 + x)*(1 + 2*E^4)*(1 + E^4*x)^6 + 887040*E^(-13 + x)*(1 + 2*E^4)*(1 + E^
4*x)^6 - 221760*E^(-8 + x)*(1 + 2*E^4)*(1 + E^4*x)^6 + 44352*E^(-3 + x)*(1 + 2*E^4)*(1 + E^4*x)^6 - 336*E^(-23
+ 2*x)*(1 + 2*E^4)*(1 + E^4*x)^6 + 9123840*E^(-23 + x)*(1 + E^4*x)^7 - 4181760*E^(-18 + x)*(1 + E^4*x)^7 + 12
67200*E^(-13 + x)*(1 + E^4*x)^7 - 285120*E^(-8 + x)*(1 + E^4*x)^7 + 50688*E^(-3 + x)*(1 + E^4*x)^7 - 7392*E^(2
+ x)*(1 + E^4*x)^7 - 384*E^(-23 + 2*x)*(1 + E^4*x)^7 + 336*E^(-18 + 2*x)*(1 + E^4*x)^7 + 760320*E^(-27 + x)*(
1 - 10*E^4)*(1 + E^4*x)^7 - 380160*E^(-22 + x)*(1 - 9*E^4)*(1 + E^4*x)^7 + 126720*E^(-17 + x)*(1 - 8*E^4)*(1 +
E^4*x)^7 - 31680*E^(-12 + x)*(1 - 7*E^4)*(1 + E^4*x)^7 + 6336*E^(-7 + x)*(1 - 6*E^4)*(1 + E^4*x)^7 - 96*E^(-2
7 + 2*x)*(1 - 2*E^4)*(1 + E^4*x)^7 - 760320*E^(-27 + x)*(1 + 2*E^4)*(1 + E^4*x)^7 + 380160*E^(-22 + x)*(1 + 2*
E^4)*(1 + E^4*x)^7 - 126720*E^(-17 + x)*(1 + 2*E^4)*(1 + E^4*x)^7 + 31680*E^(-12 + x)*(1 + 2*E^4)*(1 + E^4*x)^
7 - 1140480*E^(-27 + x)*(1 + E^4*x)^8 + 522720*E^(-22 + x)*(1 + E^4*x)^8 - 158400*E^(-17 + x)*(1 + E^4*x)^8 +
35640*E^(-12 + x)*(1 + E^4*x)^8 - 6336*E^(-7 + x)*(1 + E^4*x)^8 + 96*E^(-27 + 2*x)*(1 + E^4*x)^8 - 95040*E^(-3
1 + x)*(1 - 10*E^4)*(1 + E^4*x)^8 + 47520*E^(-26 + x)*(1 - 9*E^4)*(1 + E^4*x)^8 - 15840*E^(-21 + x)*(1 - 8*E^4
)*(1 + E^4*x)^8 + 3960*E^(-16 + x)*(1 - 7*E^4)*(1 + E^4*x)^8 + 95040*E^(-31 + x)*(1 + 2*E^4)*(1 + E^4*x)^8 - 4
7520*E^(-26 + x)*(1 + 2*E^4)*(1 + E^4*x)^8 + 15840*E^(-21 + x)*(1 + 2*E^4)*(1 + E^4*x)^8 + 126720*E^(-31 + x)*
(1 + E^4*x)^9 - 58080*E^(-26 + x)*(1 + E^4*x)^9 + 17600*E^(-21 + x)*(1 + E^4*x)^9 - 3960*E^(-16 + x)*(1 + E^4*
x)^9 + 10560*E^(-35 + x)*(1 - 10*E^4)*(1 + E^4*x)^9 - 5280*E^(-30 + x)*(1 - 9*E^4)*(1 + E^4*x)^9 + 1760*E^(-25
+ x)*(1 - 8*E^4)*(1 + E^4*x)^9 - 10560*E^(-35 + x)*(1 + 2*E^4)*(1 + E^4*x)^9 + 5280*E^(-30 + x)*(1 + 2*E^4)*(
1 + E^4*x)^9 - 12672*E^(-35 + x)*(1 + E^4*x)^10 + 5808*E^(-30 + x)*(1 + E^4*x)^10 - 1760*E^(-25 + x)*(1 + E^4*
x)^10 - 1056*E^(-39 + x)*(1 - 10*E^4)*(1 + E^4*x)^10 + 528*E^(-34 + x)*(1 - 9*E^4)*(1 + E^4*x)^10 + 1056*E^(-3
9 + x)*(1 + 2*E^4)*(1 + E^4*x)^10 + 1152*E^(-39 + x)*(1 + E^4*x)^11 - 528*E^(-34 + x)*(1 + E^4*x)^11 + 96*E^(-
43 + x)*(1 - 10*E^4)*(1 + E^4*x)^11 - 96*E^(-43 + x)*(1 + E^4*x)^12
Rule 6
Int[(u_.)*((w_.) + (a_.)*(v_) + (b_.)*(v_))^(p_.), x_Symbol] :> Int[u*((a + b)*v + w)^p, x] /; FreeQ[{a, b}, x
] && !FreeQ[v, x]
Rule 12
Int[(a_)*(u_), x_Symbol] :> Dist[a, Int[u, x], x] /; FreeQ[a, x] && !MatchQ[u, (b_)*(v_) /; FreeQ[b, x]]
Rule 2176
Int[((b_.)*(F_)^((g_.)*((e_.) + (f_.)*(x_))))^(n_.)*((c_.) + (d_.)*(x_))^(m_.), x_Symbol] :> Simp[((c + d*x)^m
*(b*F^(g*(e + f*x)))^n)/(f*g*n*Log[F]), x] - Dist[(d*m)/(f*g*n*Log[F]), Int[(c + d*x)^(m - 1)*(b*F^(g*(e + f*x
)))^n, x], x] /; FreeQ[{F, b, c, d, e, f, g, n}, x] && GtQ[m, 0] && IntegerQ[2*m] && !$UseGamma === True
Rule 2194
Int[((F_)^((c_.)*((a_.) + (b_.)*(x_))))^(n_.), x_Symbol] :> Simp[(F^(c*(a + b*x)))^n/(b*c*n*Log[F]), x] /; Fre
eQ[{F, a, b, c, n}, x]
Rule 2196
Int[(F_)^((c_.)*(v_))*(u_), x_Symbol] :> Int[ExpandIntegrand[F^(c*ExpandToSum[v, x]), u, x], x] /; FreeQ[{F, c
}, x] && PolynomialQ[u, x] && LinearQ[v, x] && !$UseGamma === True
Rubi steps
Aborted
________________________________________________________________________________________
Mathematica [B] time = 9.55, size = 509, normalized size = 21.21 \begin {gather*} \frac {2 \left (e^{64+4 x} (-2+x)+\left (1+e^9\right )^{15} \left (1-32 e^4+e^9\right ) x+16 e^4 \left (1+e^9\right )^{14} \left (1-15 e^4+e^9\right ) x^2+40 e^8 \left (1+e^9\right )^{13} \left (3-28 e^4+3 e^9\right ) x^3+280 \left (2-13 e^4+2 e^9\right ) \left (e+e^{10}\right )^{12} x^4+364 e^{16} \left (1+e^9\right )^{11} \left (5-24 e^4+5 e^9\right ) x^5+1456 e^{20} \left (1+e^9\right )^{10} \left (3-11 e^4+3 e^9\right ) x^6+1144 e^{24} \left (1+e^9\right )^9 \left (7-20 e^4+7 e^9\right ) x^7+2860 e^{28} \left (1+e^9\right )^8 \left (4-9 e^4+4 e^9\right ) x^8+1430 e^{32} \left (1+e^9\right )^7 \left (9-16 e^4+9 e^9\right ) x^9+2288 e^{36} \left (1+e^9\right )^6 \left (5-7 e^4+5 e^9\right ) x^{10}+728 e^{40} \left (1+e^9\right )^5 \left (11-12 e^4+11 e^9\right ) x^{11}+728 e^{44} \left (1+e^9\right )^4 \left (6-5 e^4+6 e^9\right ) x^{12}+140 e^{48} \left (1+e^9\right )^3 \left (13-8 e^4+13 e^9\right ) x^{13}+80 e^{52} \left (1+e^9\right )^2 \left (7-3 e^4+7 e^9\right ) x^{14}+8 e^{56} \left (15-4 e^4+30 e^9-4 e^{13}+15 e^{18}\right ) x^{15}+2 e^{60} \left (8-e^4+8 e^9\right ) x^{16}+e^{64} x^{17}-4 e^{48+3 x} (-2+x) \left (1+e^9+e^4 x\right )^4+6 e^{32+2 x} (-2+x) \left (1+e^9+e^4 x\right )^8-4 e^{16+x} (-2+x) \left (1+e^9+e^4 x\right )^{12}\right )}{e^{64}} \end {gather*}
Antiderivative was successfully verified.
[In]
Integrate[(2 + 2*E^144 + E^(64 + 4*x)*(-14 + 8*x) + E^4*(-64 + 64*x) + E^8*(-960*x + 720*x^2) + E^12*(-6720*x^
2 + 4480*x^3) + E^16*(-29120*x^3 + 18200*x^4) + E^20*(-87360*x^4 + 52416*x^5) + E^24*(-192192*x^5 + 112112*x^6
) + E^28*(-320320*x^6 + 183040*x^7) + E^32*(-411840*x^7 + 231660*x^8) + E^36*(-411840*x^8 + 228800*x^9) + E^40
*(-320320*x^9 + 176176*x^10) + E^44*(-192192*x^10 + 104832*x^11) + E^48*(-87360*x^11 + 47320*x^12) + E^52*(-29
120*x^12 + 15680*x^13) + E^56*(-6720*x^13 + 3600*x^14) + E^60*(-960*x^14 + 512*x^15) + E^64*(-64*x^15 + 34*x^1
6) + E^75*(32*E^60 + E^64*(-64 + 64*x)) + E^70*(240*E^56 + E^60*(-960 + 960*x) + E^64*(-960*x + 720*x^2)) + E^
65*(1120*E^52 + E^56*(-6720 + 6720*x) + E^60*(-13440*x + 10080*x^2) + E^64*(-6720*x^2 + 4480*x^3)) + E^60*(364
0*E^48 + E^52*(-29120 + 29120*x) + E^56*(-87360*x + 65520*x^2) + E^60*(-87360*x^2 + 58240*x^3) + E^64*(-29120*
x^3 + 18200*x^4)) + E^55*(8736*E^44 + E^48*(-87360 + 87360*x) + E^52*(-349440*x + 262080*x^2) + E^56*(-524160*
x^2 + 349440*x^3) + E^60*(-349440*x^3 + 218400*x^4) + E^64*(-87360*x^4 + 52416*x^5)) + E^50*(16016*E^40 + E^44
*(-192192 + 192192*x) + E^48*(-960960*x + 720720*x^2) + E^52*(-1921920*x^2 + 1281280*x^3) + E^56*(-1921920*x^3
+ 1201200*x^4) + E^60*(-960960*x^4 + 576576*x^5) + E^64*(-192192*x^5 + 112112*x^6)) + E^45*(22880*E^36 + E^40
*(-320320 + 320320*x) + E^44*(-1921920*x + 1441440*x^2) + E^48*(-4804800*x^2 + 3203200*x^3) + E^52*(-6406400*x
^3 + 4004000*x^4) + E^56*(-4804800*x^4 + 2882880*x^5) + E^60*(-1921920*x^5 + 1121120*x^6) + E^64*(-320320*x^6
+ 183040*x^7)) + E^40*(25740*E^32 + E^36*(-411840 + 411840*x) + E^40*(-2882880*x + 2162160*x^2) + E^44*(-86486
40*x^2 + 5765760*x^3) + E^48*(-14414400*x^3 + 9009000*x^4) + E^52*(-14414400*x^4 + 8648640*x^5) + E^56*(-86486
40*x^5 + 5045040*x^6) + E^60*(-2882880*x^6 + 1647360*x^7) + E^64*(-411840*x^7 + 231660*x^8)) + E^35*(22880*E^2
8 + E^32*(-411840 + 411840*x) + E^36*(-3294720*x + 2471040*x^2) + E^40*(-11531520*x^2 + 7687680*x^3) + E^44*(-
23063040*x^3 + 14414400*x^4) + E^48*(-28828800*x^4 + 17297280*x^5) + E^52*(-23063040*x^5 + 13453440*x^6) + E^5
6*(-11531520*x^6 + 6589440*x^7) + E^60*(-3294720*x^7 + 1853280*x^8) + E^64*(-411840*x^8 + 228800*x^9)) + E^30*
(16016*E^24 + E^28*(-320320 + 320320*x) + E^32*(-2882880*x + 2162160*x^2) + E^36*(-11531520*x^2 + 7687680*x^3)
+ E^40*(-26906880*x^3 + 16816800*x^4) + E^44*(-40360320*x^4 + 24216192*x^5) + E^48*(-40360320*x^5 + 23543520*
x^6) + E^52*(-26906880*x^6 + 15375360*x^7) + E^56*(-11531520*x^7 + 6486480*x^8) + E^60*(-2882880*x^8 + 1601600
*x^9) + E^64*(-320320*x^9 + 176176*x^10)) + E^25*(8736*E^20 + E^24*(-192192 + 192192*x) + E^28*(-1921920*x + 1
441440*x^2) + E^32*(-8648640*x^2 + 5765760*x^3) + E^36*(-23063040*x^3 + 14414400*x^4) + E^40*(-40360320*x^4 +
24216192*x^5) + E^44*(-48432384*x^5 + 28252224*x^6) + E^48*(-40360320*x^6 + 23063040*x^7) + E^52*(-23063040*x^
7 + 12972960*x^8) + E^56*(-8648640*x^8 + 4804800*x^9) + E^60*(-1921920*x^9 + 1057056*x^10) + E^64*(-192192*x^1
0 + 104832*x^11)) + E^20*(3640*E^16 + E^20*(-87360 + 87360*x) + E^24*(-960960*x + 720720*x^2) + E^28*(-4804800
*x^2 + 3203200*x^3) + E^32*(-14414400*x^3 + 9009000*x^4) + E^36*(-28828800*x^4 + 17297280*x^5) + E^40*(-403603
20*x^5 + 23543520*x^6) + E^44*(-40360320*x^6 + 23063040*x^7) + E^48*(-28828800*x^7 + 16216200*x^8) + E^52*(-14
414400*x^8 + 8008000*x^9) + E^56*(-4804800*x^9 + 2642640*x^10) + E^60*(-960960*x^10 + 524160*x^11) + E^64*(-87
360*x^11 + 47320*x^12)) + E^15*(1120*E^12 + E^16*(-29120 + 29120*x) + E^20*(-349440*x + 262080*x^2) + E^24*(-1
921920*x^2 + 1281280*x^3) + E^28*(-6406400*x^3 + 4004000*x^4) + E^32*(-14414400*x^4 + 8648640*x^5) + E^36*(-23
063040*x^5 + 13453440*x^6) + E^40*(-26906880*x^6 + 15375360*x^7) + E^44*(-23063040*x^7 + 12972960*x^8) + E^48*
(-14414400*x^8 + 8008000*x^9) + E^52*(-6406400*x^9 + 3523520*x^10) + E^56*(-1921920*x^10 + 1048320*x^11) + E^6
0*(-349440*x^11 + 189280*x^12) + E^64*(-29120*x^12 + 15680*x^13)) + E^10*(240*E^8 + E^12*(-6720 + 6720*x) + E^
16*(-87360*x + 65520*x^2) + E^20*(-524160*x^2 + 349440*x^3) + E^24*(-1921920*x^3 + 1201200*x^4) + E^28*(-48048
00*x^4 + 2882880*x^5) + E^32*(-8648640*x^5 + 5045040*x^6) + E^36*(-11531520*x^6 + 6589440*x^7) + E^40*(-115315
20*x^7 + 6486480*x^8) + E^44*(-8648640*x^8 + 4804800*x^9) + E^48*(-4804800*x^9 + 2642640*x^10) + E^52*(-192192
0*x^10 + 1048320*x^11) + E^56*(-524160*x^11 + 283920*x^12) + E^60*(-87360*x^12 + 47040*x^13) + E^64*(-6720*x^1
3 + 3600*x^14)) + E^5*(32*E^4 + E^8*(-960 + 960*x) + E^12*(-13440*x + 10080*x^2) + E^16*(-87360*x^2 + 58240*x^
3) + E^20*(-349440*x^3 + 218400*x^4) + E^24*(-960960*x^4 + 576576*x^5) + E^28*(-1921920*x^5 + 1121120*x^6) + E
^32*(-2882880*x^6 + 1647360*x^7) + E^36*(-3294720*x^7 + 1853280*x^8) + E^40*(-2882880*x^8 + 1601600*x^9) + E^4
4*(-1921920*x^9 + 1057056*x^10) + E^48*(-960960*x^10 + 524160*x^11) + E^52*(-349440*x^11 + 189280*x^12) + E^56
*(-87360*x^12 + 47040*x^13) + E^60*(-13440*x^13 + 7200*x^14) + E^64*(-960*x^14 + 512*x^15)) + E^(3*x)*(E^48*(4
0 - 24*x) + E^84*(40 - 24*x) + E^52*(64 + 128*x - 96*x^2) + E^56*(192*x + 144*x^2 - 144*x^3) + E^60*(192*x^2 +
64*x^3 - 96*x^4) + E^64*(64*x^3 + 8*x^4 - 24*x^5) + E^15*(E^60*(160 - 96*x) + E^64*(64 + 128*x - 96*x^2)) + E
^10*(E^56*(240 - 144*x) + E^60*(192 + 384*x - 288*x^2) + E^64*(192*x + 144*x^2 - 144*x^3)) + E^5*(E^52*(160 -
96*x) + E^56*(192 + 384*x - 288*x^2) + E^60*(384*x + 288*x^2 - 288*x^3) + E^64*(192*x^2 + 64*x^3 - 96*x^4))) +
E^(2*x)*(E^32*(-36 + 24*x) + E^104*(-36 + 24*x) + E^36*(-192 - 192*x + 192*x^2) + E^40*(-1344*x - 336*x^2 + 6
72*x^3) + E^44*(-4032*x^2 + 1344*x^4) + E^48*(-6720*x^3 + 840*x^4 + 1680*x^5) + E^52*(-6720*x^4 + 1344*x^5 + 1
344*x^6) + E^56*(-4032*x^5 + 1008*x^6 + 672*x^7) + E^60*(-1344*x^6 + 384*x^7 + 192*x^8) + E^64*(-192*x^7 + 60*
x^8 + 24*x^9) + E^35*(E^60*(-288 + 192*x) + E^64*(-192 - 192*x + 192*x^2)) + E^30*(E^56*(-1008 + 672*x) + E^60
*(-1344 - 1344*x + 1344*x^2) + E^64*(-1344*x - 336*x^2 + 672*x^3)) + E^25*(E^52*(-2016 + 1344*x) + E^56*(-4032
- 4032*x + 4032*x^2) + E^60*(-8064*x - 2016*x^2 + 4032*x^3) + E^64*(-4032*x^2 + 1344*x^4)) + E^20*(E^48*(-252
0 + 1680*x) + E^52*(-6720 - 6720*x + 6720*x^2) + E^56*(-20160*x - 5040*x^2 + 10080*x^3) + E^60*(-20160*x^2 + 6
720*x^4) + E^64*(-6720*x^3 + 840*x^4 + 1680*x^5)) + E^15*(E^44*(-2016 + 1344*x) + E^48*(-6720 - 6720*x + 6720*
x^2) + E^52*(-26880*x - 6720*x^2 + 13440*x^3) + E^56*(-40320*x^2 + 13440*x^4) + E^60*(-26880*x^3 + 3360*x^4 +
6720*x^5) + E^64*(-6720*x^4 + 1344*x^5 + 1344*x^6)) + E^10*(E^40*(-1008 + 672*x) + E^44*(-4032 - 4032*x + 4032
*x^2) + E^48*(-20160*x - 5040*x^2 + 10080*x^3) + E^52*(-40320*x^2 + 13440*x^4) + E^56*(-40320*x^3 + 5040*x^4 +
10080*x^5) + E^60*(-20160*x^4 + 4032*x^5 + 4032*x^6) + E^64*(-4032*x^5 + 1008*x^6 + 672*x^7)) + E^5*(E^36*(-2
88 + 192*x) + E^40*(-1344 - 1344*x + 1344*x^2) + E^44*(-8064*x - 2016*x^2 + 4032*x^3) + E^48*(-20160*x^2 + 672
0*x^4) + E^52*(-26880*x^3 + 3360*x^4 + 6720*x^5) + E^56*(-20160*x^4 + 4032*x^5 + 4032*x^6) + E^60*(-8064*x^5 +
2016*x^6 + 1344*x^7) + E^64*(-1344*x^6 + 384*x^7 + 192*x^8))) + E^x*(E^16*(8 - 8*x) + E^124*(8 - 8*x) + E^20*
(192 - 96*x^2) + E^24*(2112*x - 528*x^2 - 528*x^3) + E^28*(10560*x^2 - 3520*x^3 - 1760*x^4) + E^32*(31680*x^3
- 11880*x^4 - 3960*x^5) + E^36*(63360*x^4 - 25344*x^5 - 6336*x^6) + E^40*(88704*x^5 - 36960*x^6 - 7392*x^7) +
E^44*(88704*x^6 - 38016*x^7 - 6336*x^8) + E^48*(63360*x^7 - 27720*x^8 - 3960*x^9) + E^52*(31680*x^8 - 14080*x^
9 - 1760*x^10) + E^56*(10560*x^9 - 4752*x^10 - 528*x^11) + E^60*(2112*x^10 - 960*x^11 - 96*x^12) + E^64*(192*x
^11 - 88*x^12 - 8*x^13) + E^55*(E^60*(96 - 96*x) + E^64*(192 - 96*x^2)) + E^50*(E^56*(528 - 528*x) + E^60*(211
2 - 1056*x^2) + E^64*(2112*x - 528*x^2 - 528*x^3)) + E^45*(E^52*(1760 - 1760*x) + E^56*(10560 - 5280*x^2) + E^
60*(21120*x - 5280*x^2 - 5280*x^3) + E^64*(10560*x^2 - 3520*x^3 - 1760*x^4)) + E^40*(E^48*(3960 - 3960*x) + E^
52*(31680 - 15840*x^2) + E^56*(95040*x - 23760*x^2 - 23760*x^3) + E^60*(95040*x^2 - 31680*x^3 - 15840*x^4) + E
^64*(31680*x^3 - 11880*x^4 - 3960*x^5)) + E^35*(E^44*(6336 - 6336*x) + E^48*(63360 - 31680*x^2) + E^52*(253440
*x - 63360*x^2 - 63360*x^3) + E^56*(380160*x^2 - 126720*x^3 - 63360*x^4) + E^60*(253440*x^3 - 95040*x^4 - 3168
0*x^5) + E^64*(63360*x^4 - 25344*x^5 - 6336*x^6)) + E^30*(E^40*(7392 - 7392*x) + E^44*(88704 - 44352*x^2) + E^
48*(443520*x - 110880*x^2 - 110880*x^3) + E^52*(887040*x^2 - 295680*x^3 - 147840*x^4) + E^56*(887040*x^3 - 332
640*x^4 - 110880*x^5) + E^60*(443520*x^4 - 177408*x^5 - 44352*x^6) + E^64*(88704*x^5 - 36960*x^6 - 7392*x^7))
+ E^25*(E^36*(6336 - 6336*x) + E^40*(88704 - 44352*x^2) + E^44*(532224*x - 133056*x^2 - 133056*x^3) + E^48*(13
30560*x^2 - 443520*x^3 - 221760*x^4) + E^52*(1774080*x^3 - 665280*x^4 - 221760*x^5) + E^56*(1330560*x^4 - 5322
24*x^5 - 133056*x^6) + E^60*(532224*x^5 - 221760*x^6 - 44352*x^7) + E^64*(88704*x^6 - 38016*x^7 - 6336*x^8)) +
E^20*(E^32*(3960 - 3960*x) + E^36*(63360 - 31680*x^2) + E^40*(443520*x - 110880*x^2 - 110880*x^3) + E^44*(133
0560*x^2 - 443520*x^3 - 221760*x^4) + E^48*(2217600*x^3 - 831600*x^4 - 277200*x^5) + E^52*(2217600*x^4 - 88704
0*x^5 - 221760*x^6) + E^56*(1330560*x^5 - 554400*x^6 - 110880*x^7) + E^60*(443520*x^6 - 190080*x^7 - 31680*x^8
) + E^64*(63360*x^7 - 27720*x^8 - 3960*x^9)) + E^15*(E^28*(1760 - 1760*x) + E^32*(31680 - 15840*x^2) + E^36*(2
53440*x - 63360*x^2 - 63360*x^3) + E^40*(887040*x^2 - 295680*x^3 - 147840*x^4) + E^44*(1774080*x^3 - 665280*x^
4 - 221760*x^5) + E^48*(2217600*x^4 - 887040*x^5 - 221760*x^6) + E^52*(1774080*x^5 - 739200*x^6 - 147840*x^7)
+ E^56*(887040*x^6 - 380160*x^7 - 63360*x^8) + E^60*(253440*x^7 - 110880*x^8 - 15840*x^9) + E^64*(31680*x^8 -
14080*x^9 - 1760*x^10)) + E^10*(E^24*(528 - 528*x) + E^28*(10560 - 5280*x^2) + E^32*(95040*x - 23760*x^2 - 237
60*x^3) + E^36*(380160*x^2 - 126720*x^3 - 63360*x^4) + E^40*(887040*x^3 - 332640*x^4 - 110880*x^5) + E^44*(133
0560*x^4 - 532224*x^5 - 133056*x^6) + E^48*(1330560*x^5 - 554400*x^6 - 110880*x^7) + E^52*(887040*x^6 - 380160
*x^7 - 63360*x^8) + E^56*(380160*x^7 - 166320*x^8 - 23760*x^9) + E^60*(95040*x^8 - 42240*x^9 - 5280*x^10) + E^
64*(10560*x^9 - 4752*x^10 - 528*x^11)) + E^5*(E^20*(96 - 96*x) + E^24*(2112 - 1056*x^2) + E^28*(21120*x - 5280
*x^2 - 5280*x^3) + E^32*(95040*x^2 - 31680*x^3 - 15840*x^4) + E^36*(253440*x^3 - 95040*x^4 - 31680*x^5) + E^40
*(443520*x^4 - 177408*x^5 - 44352*x^6) + E^44*(532224*x^5 - 221760*x^6 - 44352*x^7) + E^48*(443520*x^6 - 19008
0*x^7 - 31680*x^8) + E^52*(253440*x^7 - 110880*x^8 - 15840*x^9) + E^56*(95040*x^8 - 42240*x^9 - 5280*x^10) + E
^60*(21120*x^9 - 9504*x^10 - 1056*x^11) + E^64*(2112*x^10 - 960*x^11 - 96*x^12))))/E^64,x]
[Out]
(2*(E^(64 + 4*x)*(-2 + x) + (1 + E^9)^15*(1 - 32*E^4 + E^9)*x + 16*E^4*(1 + E^9)^14*(1 - 15*E^4 + E^9)*x^2 + 4
0*E^8*(1 + E^9)^13*(3 - 28*E^4 + 3*E^9)*x^3 + 280*(2 - 13*E^4 + 2*E^9)*(E + E^10)^12*x^4 + 364*E^16*(1 + E^9)^
11*(5 - 24*E^4 + 5*E^9)*x^5 + 1456*E^20*(1 + E^9)^10*(3 - 11*E^4 + 3*E^9)*x^6 + 1144*E^24*(1 + E^9)^9*(7 - 20*
E^4 + 7*E^9)*x^7 + 2860*E^28*(1 + E^9)^8*(4 - 9*E^4 + 4*E^9)*x^8 + 1430*E^32*(1 + E^9)^7*(9 - 16*E^4 + 9*E^9)*
x^9 + 2288*E^36*(1 + E^9)^6*(5 - 7*E^4 + 5*E^9)*x^10 + 728*E^40*(1 + E^9)^5*(11 - 12*E^4 + 11*E^9)*x^11 + 728*
E^44*(1 + E^9)^4*(6 - 5*E^4 + 6*E^9)*x^12 + 140*E^48*(1 + E^9)^3*(13 - 8*E^4 + 13*E^9)*x^13 + 80*E^52*(1 + E^9
)^2*(7 - 3*E^4 + 7*E^9)*x^14 + 8*E^56*(15 - 4*E^4 + 30*E^9 - 4*E^13 + 15*E^18)*x^15 + 2*E^60*(8 - E^4 + 8*E^9)
*x^16 + E^64*x^17 - 4*E^(48 + 3*x)*(-2 + x)*(1 + E^9 + E^4*x)^4 + 6*E^(32 + 2*x)*(-2 + x)*(1 + E^9 + E^4*x)^8
- 4*E^(16 + x)*(-2 + x)*(1 + E^9 + E^4*x)^12))/E^64
________________________________________________________________________________________
fricas [B] time = 1.97, size = 3501, normalized size = 145.88 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((2+2*exp(4)^16*exp(5)^16+((-24*x+40)*exp(4)^16*exp(5)^4+((-96*x^2+128*x+64)*exp(4)^16+(-96*x+160)*ex
p(4)^15)*exp(5)^3+((-144*x^3+144*x^2+192*x)*exp(4)^16+(-288*x^2+384*x+192)*exp(4)^15+(-144*x+240)*exp(4)^14)*e
xp(5)^2+((-96*x^4+64*x^3+192*x^2)*exp(4)^16+(-288*x^3+288*x^2+384*x)*exp(4)^15+(-288*x^2+384*x+192)*exp(4)^14+
(-96*x+160)*exp(4)^13)*exp(5)+(-24*x^5+8*x^4+64*x^3)*exp(4)^16+(-96*x^4+64*x^3+192*x^2)*exp(4)^15+(-144*x^3+14
4*x^2+192*x)*exp(4)^14+(-96*x^2+128*x+64)*exp(4)^13+(-24*x+40)*exp(4)^12)*exp(x)^3+((24*x-36)*exp(4)^16*exp(5)
^8+((192*x^2-192*x-192)*exp(4)^16+(192*x-288)*exp(4)^15)*exp(5)^7+((672*x^3-336*x^2-1344*x)*exp(4)^16+(1344*x^
2-1344*x-1344)*exp(4)^15+(672*x-1008)*exp(4)^14)*exp(5)^6+((1344*x^4-4032*x^2)*exp(4)^16+(4032*x^3-2016*x^2-80
64*x)*exp(4)^15+(4032*x^2-4032*x-4032)*exp(4)^14+(1344*x-2016)*exp(4)^13)*exp(5)^5+((1680*x^5+840*x^4-6720*x^3
)*exp(4)^16+(6720*x^4-20160*x^2)*exp(4)^15+(10080*x^3-5040*x^2-20160*x)*exp(4)^14+(6720*x^2-6720*x-6720)*exp(4
)^13+(1680*x-2520)*exp(4)^12)*exp(5)^4+((1344*x^6+1344*x^5-6720*x^4)*exp(4)^16+(6720*x^5+3360*x^4-26880*x^3)*e
xp(4)^15+(13440*x^4-40320*x^2)*exp(4)^14+(13440*x^3-6720*x^2-26880*x)*exp(4)^13+(6720*x^2-6720*x-6720)*exp(4)^
12+(1344*x-2016)*exp(4)^11)*exp(5)^3+((672*x^7+1008*x^6-4032*x^5)*exp(4)^16+(4032*x^6+4032*x^5-20160*x^4)*exp(
4)^15+(10080*x^5+5040*x^4-40320*x^3)*exp(4)^14+(13440*x^4-40320*x^2)*exp(4)^13+(10080*x^3-5040*x^2-20160*x)*ex
p(4)^12+(4032*x^2-4032*x-4032)*exp(4)^11+(672*x-1008)*exp(4)^10)*exp(5)^2+((192*x^8+384*x^7-1344*x^6)*exp(4)^1
6+(1344*x^7+2016*x^6-8064*x^5)*exp(4)^15+(4032*x^6+4032*x^5-20160*x^4)*exp(4)^14+(6720*x^5+3360*x^4-26880*x^3)
*exp(4)^13+(6720*x^4-20160*x^2)*exp(4)^12+(4032*x^3-2016*x^2-8064*x)*exp(4)^11+(1344*x^2-1344*x-1344)*exp(4)^1
0+(192*x-288)*exp(4)^9)*exp(5)+(24*x^9+60*x^8-192*x^7)*exp(4)^16+(192*x^8+384*x^7-1344*x^6)*exp(4)^15+(672*x^7
+1008*x^6-4032*x^5)*exp(4)^14+(1344*x^6+1344*x^5-6720*x^4)*exp(4)^13+(1680*x^5+840*x^4-6720*x^3)*exp(4)^12+(13
44*x^4-4032*x^2)*exp(4)^11+(672*x^3-336*x^2-1344*x)*exp(4)^10+(192*x^2-192*x-192)*exp(4)^9+(24*x-36)*exp(4)^8)
*exp(x)^2+(((-1760*x^4-3520*x^3+10560*x^2)*exp(4)^16+(-5280*x^3-5280*x^2+21120*x)*exp(4)^15+(-5280*x^2+10560)*
exp(4)^14+(-1760*x+1760)*exp(4)^13)*exp(5)^9+((-3960*x^5-11880*x^4+31680*x^3)*exp(4)^16+(-15840*x^4-31680*x^3+
95040*x^2)*exp(4)^15+(-23760*x^3-23760*x^2+95040*x)*exp(4)^14+(-15840*x^2+31680)*exp(4)^13+(-3960*x+3960)*exp(
4)^12)*exp(5)^8+((-6336*x^6-25344*x^5+63360*x^4)*exp(4)^16+(-31680*x^5-95040*x^4+253440*x^3)*exp(4)^15+(-63360
*x^4-126720*x^3+380160*x^2)*exp(4)^14+(-63360*x^3-63360*x^2+253440*x)*exp(4)^13+(-31680*x^2+63360)*exp(4)^12+(
-6336*x+6336)*exp(4)^11)*exp(5)^7+((-7392*x^7-36960*x^6+88704*x^5)*exp(4)^16+(-44352*x^6-177408*x^5+443520*x^4
)*exp(4)^15+(-110880*x^5-332640*x^4+887040*x^3)*exp(4)^14+(-147840*x^4-295680*x^3+887040*x^2)*exp(4)^13+(-1108
80*x^3-110880*x^2+443520*x)*exp(4)^12+(-44352*x^2+88704)*exp(4)^11+(-7392*x+7392)*exp(4)^10)*exp(5)^6+((-6336*
x^8-38016*x^7+88704*x^6)*exp(4)^16+(-44352*x^7-221760*x^6+532224*x^5)*exp(4)^15+(-133056*x^6-532224*x^5+133056
0*x^4)*exp(4)^14+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^13+(-221760*x^4-443520*x^3+1330560*x^2)*exp(4)^12
+(-133056*x^3-133056*x^2+532224*x)*exp(4)^11+(-44352*x^2+88704)*exp(4)^10+(-6336*x+6336)*exp(4)^9)*exp(5)^5+((
-3960*x^9-27720*x^8+63360*x^7)*exp(4)^16+(-31680*x^8-190080*x^7+443520*x^6)*exp(4)^15+(-110880*x^7-554400*x^6+
1330560*x^5)*exp(4)^14+(-221760*x^6-887040*x^5+2217600*x^4)*exp(4)^13+(-277200*x^5-831600*x^4+2217600*x^3)*exp
(4)^12+(-221760*x^4-443520*x^3+1330560*x^2)*exp(4)^11+(-110880*x^3-110880*x^2+443520*x)*exp(4)^10+(-31680*x^2+
63360)*exp(4)^9+(-3960*x+3960)*exp(4)^8)*exp(5)^4+((-96*x^2+192)*exp(4)^16+(-96*x+96)*exp(4)^15)*exp(5)^11+((-
528*x^3-528*x^2+2112*x)*exp(4)^16+(-1056*x^2+2112)*exp(4)^15+(-528*x+528)*exp(4)^14)*exp(5)^10+(-8*x+8)*exp(4)
^16*exp(5)^12+(-8*x+8)*exp(4)^4+((-1760*x^10-14080*x^9+31680*x^8)*exp(4)^16+(-15840*x^9-110880*x^8+253440*x^7)
*exp(4)^15+(-63360*x^8-380160*x^7+887040*x^6)*exp(4)^14+(-147840*x^7-739200*x^6+1774080*x^5)*exp(4)^13+(-22176
0*x^6-887040*x^5+2217600*x^4)*exp(4)^12+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^11+(-147840*x^4-295680*x^3
+887040*x^2)*exp(4)^10+(-63360*x^3-63360*x^2+253440*x)*exp(4)^9+(-15840*x^2+31680)*exp(4)^8+(-1760*x+1760)*exp
(4)^7)*exp(5)^3+((-528*x^11-4752*x^10+10560*x^9)*exp(4)^16+(-5280*x^10-42240*x^9+95040*x^8)*exp(4)^15+(-23760*
x^9-166320*x^8+380160*x^7)*exp(4)^14+(-63360*x^8-380160*x^7+887040*x^6)*exp(4)^13+(-110880*x^7-554400*x^6+1330
560*x^5)*exp(4)^12+(-133056*x^6-532224*x^5+1330560*x^4)*exp(4)^11+(-110880*x^5-332640*x^4+887040*x^3)*exp(4)^1
0+(-63360*x^4-126720*x^3+380160*x^2)*exp(4)^9+(-23760*x^3-23760*x^2+95040*x)*exp(4)^8+(-5280*x^2+10560)*exp(4)
^7+(-528*x+528)*exp(4)^6)*exp(5)^2+((-96*x^12-960*x^11+2112*x^10)*exp(4)^16+(-1056*x^11-9504*x^10+21120*x^9)*e
xp(4)^15+(-5280*x^10-42240*x^9+95040*x^8)*exp(4)^14+(-15840*x^9-110880*x^8+253440*x^7)*exp(4)^13+(-31680*x^8-1
90080*x^7+443520*x^6)*exp(4)^12+(-44352*x^7-221760*x^6+532224*x^5)*exp(4)^11+(-44352*x^6-177408*x^5+443520*x^4
)*exp(4)^10+(-31680*x^5-95040*x^4+253440*x^3)*exp(4)^9+(-15840*x^4-31680*x^3+95040*x^2)*exp(4)^8+(-5280*x^3-52
80*x^2+21120*x)*exp(4)^7+(-1056*x^2+2112)*exp(4)^6+(-96*x+96)*exp(4)^5)*exp(5)+(-8*x^13-88*x^12+192*x^11)*exp(
4)^16+(-96*x^12-960*x^11+2112*x^10)*exp(4)^15+(-528*x^11-4752*x^10+10560*x^9)*exp(4)^14+(-1760*x^10-14080*x^9+
31680*x^8)*exp(4)^13+(-3960*x^9-27720*x^8+63360*x^7)*exp(4)^12+(-6336*x^8-38016*x^7+88704*x^6)*exp(4)^11+(-739
2*x^7-36960*x^6+88704*x^5)*exp(4)^10+(-6336*x^6-25344*x^5+63360*x^4)*exp(4)^9+(-3960*x^5-11880*x^4+31680*x^3)*
exp(4)^8+(-1760*x^4-3520*x^3+10560*x^2)*exp(4)^7+(-528*x^3-528*x^2+2112*x)*exp(4)^6+(-96*x^2+192)*exp(4)^5)*ex
p(x)+((64*x-64)*exp(4)^16+32*exp(4)^15)*exp(5)^15+((720*x^2-960*x)*exp(4)^16+(960*x-960)*exp(4)^15+240*exp(4)^
14)*exp(5)^14+((4480*x^3-6720*x^2)*exp(4)^16+(10080*x^2-13440*x)*exp(4)^15+(6720*x-6720)*exp(4)^14+1120*exp(4)
^13)*exp(5)^13+((18200*x^4-29120*x^3)*exp(4)^16+(58240*x^3-87360*x^2)*exp(4)^15+(65520*x^2-87360*x)*exp(4)^14+
(29120*x-29120)*exp(4)^13+3640*exp(4)^12)*exp(5)^12+(8*x-14)*exp(4)^16*exp(x)^4+((183040*x^7-320320*x^6)*exp(4
)^16+(1121120*x^6-1921920*x^5)*exp(4)^15+(2882880*x^5-4804800*x^4)*exp(4)^14+(4004000*x^4-6406400*x^3)*exp(4)^
13+(3203200*x^3-4804800*x^2)*exp(4)^12+(1441440*x^2-1921920*x)*exp(4)^11+(320320*x-320320)*exp(4)^10+22880*exp
(4)^9)*exp(5)^9+((176176*x^10-320320*x^9)*exp(4)^16+(1601600*x^9-2882880*x^8)*exp(4)^15+(6486480*x^8-11531520*
x^7)*exp(4)^14+(15375360*x^7-26906880*x^6)*exp(4)^13+(23543520*x^6-40360320*x^5)*exp(4)^12+(24216192*x^5-40360
320*x^4)*exp(4)^11+(16816800*x^4-26906880*x^3)*exp(4)^10+(7687680*x^3-11531520*x^2)*exp(4)^9+(2162160*x^2-2882
880*x)*exp(4)^8+(320320*x-320320)*exp(4)^7+16016*exp(4)^6)*exp(5)^6+((52416*x^5-87360*x^4)*exp(4)^16+(218400*x
^4-349440*x^3)*exp(4)^15+(349440*x^3-524160*x^2)*exp(4)^14+(262080*x^2-349440*x)*exp(4)^13+(87360*x-87360)*exp
(4)^12+8736*exp(4)^11)*exp(5)^11+((112112*x^6-192192*x^5)*exp(4)^16+(576576*x^5-960960*x^4)*exp(4)^15+(1201200
*x^4-1921920*x^3)*exp(4)^14+(1281280*x^3-1921920*x^2)*exp(4)^13+(720720*x^2-960960*x)*exp(4)^12+(192192*x-1921
92)*exp(4)^11+16016*exp(4)^10)*exp(5)^10+((47320*x^12-87360*x^11)*exp(4)^16+(524160*x^11-960960*x^10)*exp(4)^1
5+(2642640*x^10-4804800*x^9)*exp(4)^14+(8008000*x^9-14414400*x^8)*exp(4)^13+(16216200*x^8-28828800*x^7)*exp(4)
^12+(23063040*x^7-40360320*x^6)*exp(4)^11+(23543520*x^6-40360320*x^5)*exp(4)^10+(17297280*x^5-28828800*x^4)*ex
p(4)^9+(9009000*x^4-14414400*x^3)*exp(4)^8+(3203200*x^3-4804800*x^2)*exp(4)^7+(720720*x^2-960960*x)*exp(4)^6+(
87360*x-87360)*exp(4)^5+3640*exp(4)^4)*exp(5)^4+((231660*x^8-411840*x^7)*exp(4)^16+(1647360*x^7-2882880*x^6)*e
xp(4)^15+(5045040*x^6-8648640*x^5)*exp(4)^14+(8648640*x^5-14414400*x^4)*exp(4)^13+(9009000*x^4-14414400*x^3)*e
xp(4)^12+(5765760*x^3-8648640*x^2)*exp(4)^11+(2162160*x^2-2882880*x)*exp(4)^10+(411840*x-411840)*exp(4)^9+2574
0*exp(4)^8)*exp(5)^8+((228800*x^9-411840*x^8)*exp(4)^16+(1853280*x^8-3294720*x^7)*exp(4)^15+(6589440*x^7-11531
520*x^6)*exp(4)^14+(13453440*x^6-23063040*x^5)*exp(4)^13+(17297280*x^5-28828800*x^4)*exp(4)^12+(14414400*x^4-2
3063040*x^3)*exp(4)^11+(7687680*x^3-11531520*x^2)*exp(4)^10+(2471040*x^2-3294720*x)*exp(4)^9+(411840*x-411840)
*exp(4)^8+22880*exp(4)^7)*exp(5)^7+((3600*x^14-6720*x^13)*exp(4)^16+(47040*x^13-87360*x^12)*exp(4)^15+(283920*
x^12-524160*x^11)*exp(4)^14+(1048320*x^11-1921920*x^10)*exp(4)^13+(2642640*x^10-4804800*x^9)*exp(4)^12+(480480
0*x^9-8648640*x^8)*exp(4)^11+(6486480*x^8-11531520*x^7)*exp(4)^10+(6589440*x^7-11531520*x^6)*exp(4)^9+(5045040
*x^6-8648640*x^5)*exp(4)^8+(2882880*x^5-4804800*x^4)*exp(4)^7+(1201200*x^4-1921920*x^3)*exp(4)^6+(349440*x^3-5
24160*x^2)*exp(4)^5+(65520*x^2-87360*x)*exp(4)^4+(6720*x-6720)*exp(4)^3+240*exp(4)^2)*exp(5)^2+((104832*x^11-1
92192*x^10)*exp(4)^16+(1057056*x^10-1921920*x^9)*exp(4)^15+(4804800*x^9-8648640*x^8)*exp(4)^14+(12972960*x^8-2
3063040*x^7)*exp(4)^13+(23063040*x^7-40360320*x^6)*exp(4)^12+(28252224*x^6-48432384*x^5)*exp(4)^11+(24216192*x
^5-40360320*x^4)*exp(4)^10+(14414400*x^4-23063040*x^3)*exp(4)^9+(5765760*x^3-8648640*x^2)*exp(4)^8+(1441440*x^
2-1921920*x)*exp(4)^7+(192192*x-192192)*exp(4)^6+8736*exp(4)^5)*exp(5)^5+(231660*x^8-411840*x^7)*exp(4)^8+(183
040*x^7-320320*x^6)*exp(4)^7+(112112*x^6-192192*x^5)*exp(4)^6+(52416*x^5-87360*x^4)*exp(4)^5+(18200*x^4-29120*
x^3)*exp(4)^4+(4480*x^3-6720*x^2)*exp(4)^3+(720*x^2-960*x)*exp(4)^2+((15680*x^13-29120*x^12)*exp(4)^16+(189280
*x^12-349440*x^11)*exp(4)^15+(1048320*x^11-1921920*x^10)*exp(4)^14+(3523520*x^10-6406400*x^9)*exp(4)^13+(80080
00*x^9-14414400*x^8)*exp(4)^12+(12972960*x^8-23063040*x^7)*exp(4)^11+(15375360*x^7-26906880*x^6)*exp(4)^10+(13
453440*x^6-23063040*x^5)*exp(4)^9+(8648640*x^5-14414400*x^4)*exp(4)^8+(4004000*x^4-6406400*x^3)*exp(4)^7+(1281
280*x^3-1921920*x^2)*exp(4)^6+(262080*x^2-349440*x)*exp(4)^5+(29120*x-29120)*exp(4)^4+1120*exp(4)^3)*exp(5)^3+
(64*x-64)*exp(4)+((512*x^15-960*x^14)*exp(4)^16+(7200*x^14-13440*x^13)*exp(4)^15+(47040*x^13-87360*x^12)*exp(4
)^14+(189280*x^12-349440*x^11)*exp(4)^13+(524160*x^11-960960*x^10)*exp(4)^12+(1057056*x^10-1921920*x^9)*exp(4)
^11+(1601600*x^9-2882880*x^8)*exp(4)^10+(1853280*x^8-3294720*x^7)*exp(4)^9+(1647360*x^7-2882880*x^6)*exp(4)^8+
(1121120*x^6-1921920*x^5)*exp(4)^7+(576576*x^5-960960*x^4)*exp(4)^6+(218400*x^4-349440*x^3)*exp(4)^5+(58240*x^
3-87360*x^2)*exp(4)^4+(10080*x^2-13440*x)*exp(4)^3+(960*x-960)*exp(4)^2+32*exp(4))*exp(5)+(34*x^16-64*x^15)*ex
p(4)^16+(512*x^15-960*x^14)*exp(4)^15+(3600*x^14-6720*x^13)*exp(4)^14+(15680*x^13-29120*x^12)*exp(4)^13+(47320
*x^12-87360*x^11)*exp(4)^12+(104832*x^11-192192*x^10)*exp(4)^11+(176176*x^10-320320*x^9)*exp(4)^10+(228800*x^9
-411840*x^8)*exp(4)^9)/exp(4)^16,x, algorithm="fricas")
[Out]
2*(x*e^144 + 16*(x^2 - 2*x)*e^139 + 16*x*e^135 + 120*(x^3 - 2*x^2)*e^134 + 240*(x^2 - 2*x)*e^130 + 560*(x^4 -
2*x^3)*e^129 + 120*x*e^126 + 1680*(x^3 - 2*x^2)*e^125 + 1820*(x^5 - 2*x^4)*e^124 + 1680*(x^2 - 2*x)*e^121 + 72
80*(x^4 - 2*x^3)*e^120 + 4368*(x^6 - 2*x^5)*e^119 + 560*x*e^117 + 10920*(x^3 - 2*x^2)*e^116 + 21840*(x^5 - 2*x
^4)*e^115 + 8008*(x^7 - 2*x^6)*e^114 + 7280*(x^2 - 2*x)*e^112 + 43680*(x^4 - 2*x^3)*e^111 + 48048*(x^6 - 2*x^5
)*e^110 + 11440*(x^8 - 2*x^7)*e^109 + 1820*x*e^108 + 43680*(x^3 - 2*x^2)*e^107 + 120120*(x^5 - 2*x^4)*e^106 +
80080*(x^7 - 2*x^6)*e^105 + 12870*(x^9 - 2*x^8)*e^104 + 21840*(x^2 - 2*x)*e^103 + 160160*(x^4 - 2*x^3)*e^102 +
240240*(x^6 - 2*x^5)*e^101 + 102960*(x^8 - 2*x^7)*e^100 + 208*(55*x^10 - 110*x^9 + 21*x)*e^99 + 120120*(x^3 -
2*x^2)*e^98 + 400400*(x^5 - 2*x^4)*e^97 + 360360*(x^7 - 2*x^6)*e^96 + 102960*(x^9 - 2*x^8)*e^95 + 8008*(x^11
- 2*x^10 + 6*x^2 - 12*x)*e^94 + 400400*(x^4 - 2*x^3)*e^93 + 720720*(x^6 - 2*x^5)*e^92 + 411840*(x^8 - 2*x^7)*e
^91 + 8008*(10*x^10 - 20*x^9 + x)*e^90 + 4368*(x^12 - 2*x^11 + 55*x^3 - 110*x^2)*e^89 + 900900*(x^5 - 2*x^4)*e
^88 + 960960*(x^7 - 2*x^6)*e^87 + 360360*(x^9 - 2*x^8)*e^86 + 16016*(3*x^11 - 6*x^10 + 5*x^2 - 10*x)*e^85 + 18
20*(x^13 - 2*x^12 + 396*x^4 - 792*x^3)*e^84 + 1441440*(x^6 - 2*x^5)*e^83 + 960960*(x^8 - 2*x^7)*e^82 + 11440*(
21*x^10 - 42*x^9 + x)*e^81 + 10920*(2*x^12 - 4*x^11 + 33*x^3 - 66*x^2)*e^80 + 560*(x^14 - 2*x^13 + 2574*x^5 -
5148*x^4)*e^79 + 1681680*(x^7 - 2*x^6)*e^78 + 720720*(x^9 - 2*x^8)*e^77 + 17160*(7*x^11 - 14*x^10 + 6*x^2 - 12
*x)*e^76 + 7280*(x^13 - 2*x^12 + 132*x^4 - 264*x^3)*e^75 + 24*(5*x^15 - 10*x^14 + 84084*x^6 - 168168*x^5)*e^74
+ 1441440*(x^8 - 2*x^7)*e^73 + 1430*(280*x^10 - 560*x^9 + 9*x)*e^72 + 6240*(7*x^12 - 14*x^11 + 66*x^3 - 132*x
^2)*e^71 + 1680*(x^14 - 2*x^13 + 1001*x^5 - 2002*x^4)*e^70 + 16*(x^16 - 2*x^15 + 126126*x^7 - 252252*x^6)*e^69
+ 900900*(x^9 - 2*x^8)*e^68 + 11440*(14*x^11 - 28*x^10 + 9*x^2 - 18*x)*e^67 + 10920*(x^13 - 2*x^12 + 88*x^4 -
176*x^3)*e^66 + 48*(5*x^15 - 10*x^14 + 42042*x^6 - 84084*x^5)*e^65 + (x^17 - 2*x^16 + 1441440*x^8 - 2882880*x
^7)*e^64 + 11440*(35*x^10 - 70*x^9 + x)*e^63 + 10920*(4*x^12 - 8*x^11 + 33*x^3 - 66*x^2)*e^62 + 1680*(x^14 - 2
*x^13 + 858*x^5 - 1716*x^4)*e^61 + 16*(x^16 - 2*x^15 + 105105*x^7 - 210210*x^6)*e^60 + 720720*(x^9 - 2*x^8)*e^
59 + 40040*(3*x^11 - 6*x^10 + 2*x^2 - 4*x)*e^58 + 7280*(x^13 - 2*x^12 + 99*x^4 - 198*x^3)*e^57 + 120*(x^15 - 2
*x^14 + 12012*x^6 - 24024*x^5)*e^56 + 960960*(x^8 - 2*x^7)*e^55 + 8008*(30*x^10 - 60*x^9 + x)*e^54 + 21840*(x^
12 - 2*x^11 + 11*x^3 - 22*x^2)*e^53 + 140*(4*x^14 - 8*x^13 + 6435*x^5 - 12870*x^4)*e^52 + 960960*(x^7 - 2*x^6)
*e^51 + 360360*(x^9 - 2*x^8)*e^50 + 48048*(x^11 - 2*x^10 + x^2 - 2*x)*e^49 + 1820*(x^13 - 2*x^12 + 220*x^4 - 4
40*x^3)*e^48 + 720720*(x^6 - 2*x^5)*e^47 + 411840*(x^8 - 2*x^7)*e^46 + 1456*(55*x^10 - 110*x^9 + 3*x)*e^45 + 2
184*(2*x^12 - 4*x^11 + 55*x^3 - 110*x^2)*e^44 + 400400*(x^5 - 2*x^4)*e^43 + 360360*(x^7 - 2*x^6)*e^42 + 102960
*(x^9 - 2*x^8)*e^41 + 728*(11*x^11 - 22*x^10 + 30*x^2 - 60*x)*e^40 + 160160*(x^4 - 2*x^3)*e^39 + 240240*(x^6 -
2*x^5)*e^38 + 102960*(x^8 - 2*x^7)*e^37 + 260*(44*x^10 - 88*x^9 + 7*x)*e^36 + 43680*(x^3 - 2*x^2)*e^35 + 1201
20*(x^5 - 2*x^4)*e^34 + 80080*(x^7 - 2*x^6)*e^33 + 12870*(x^9 - 2*x^8)*e^32 + 7280*(x^2 - 2*x)*e^31 + 43680*(x
^4 - 2*x^3)*e^30 + 48048*(x^6 - 2*x^5)*e^29 + 11440*(x^8 - 2*x^7)*e^28 + 560*x*e^27 + 10920*(x^3 - 2*x^2)*e^26
+ 21840*(x^5 - 2*x^4)*e^25 + 8008*(x^7 - 2*x^6)*e^24 + 1680*(x^2 - 2*x)*e^22 + 7280*(x^4 - 2*x^3)*e^21 + 4368
*(x^6 - 2*x^5)*e^20 + 120*x*e^18 + 1680*(x^3 - 2*x^2)*e^17 + 1820*(x^5 - 2*x^4)*e^16 + 240*(x^2 - 2*x)*e^13 +
560*(x^4 - 2*x^3)*e^12 + 16*x*e^9 + 120*(x^3 - 2*x^2)*e^8 + 16*(x^2 - 2*x)*e^4 - 4*((x - 2)*e^84 + 4*(x^2 - 2*
x)*e^79 + 4*(x - 2)*e^75 + 6*(x^3 - 2*x^2)*e^74 + 12*(x^2 - 2*x)*e^70 + 4*(x^4 - 2*x^3)*e^69 + 6*(x - 2)*e^66
+ 12*(x^3 - 2*x^2)*e^65 + (x^5 - 2*x^4)*e^64 + 12*(x^2 - 2*x)*e^61 + 4*(x^4 - 2*x^3)*e^60 + 4*(x - 2)*e^57 + 6
*(x^3 - 2*x^2)*e^56 + 4*(x^2 - 2*x)*e^52 + (x - 2)*e^48)*e^(3*x) + 6*((x - 2)*e^104 + 8*(x^2 - 2*x)*e^99 + 8*(
x - 2)*e^95 + 28*(x^3 - 2*x^2)*e^94 + 56*(x^2 - 2*x)*e^90 + 56*(x^4 - 2*x^3)*e^89 + 28*(x - 2)*e^86 + 168*(x^3
- 2*x^2)*e^85 + 70*(x^5 - 2*x^4)*e^84 + 168*(x^2 - 2*x)*e^81 + 280*(x^4 - 2*x^3)*e^80 + 56*(x^6 - 2*x^5)*e^79
+ 56*(x - 2)*e^77 + 420*(x^3 - 2*x^2)*e^76 + 280*(x^5 - 2*x^4)*e^75 + 28*(x^7 - 2*x^6)*e^74 + 280*(x^2 - 2*x)
*e^72 + 560*(x^4 - 2*x^3)*e^71 + 168*(x^6 - 2*x^5)*e^70 + 8*(x^8 - 2*x^7)*e^69 + 70*(x - 2)*e^68 + 560*(x^3 -
2*x^2)*e^67 + 420*(x^5 - 2*x^4)*e^66 + 56*(x^7 - 2*x^6)*e^65 + (x^9 - 2*x^8)*e^64 + 280*(x^2 - 2*x)*e^63 + 560
*(x^4 - 2*x^3)*e^62 + 168*(x^6 - 2*x^5)*e^61 + 8*(x^8 - 2*x^7)*e^60 + 56*(x - 2)*e^59 + 420*(x^3 - 2*x^2)*e^58
+ 280*(x^5 - 2*x^4)*e^57 + 28*(x^7 - 2*x^6)*e^56 + 168*(x^2 - 2*x)*e^54 + 280*(x^4 - 2*x^3)*e^53 + 56*(x^6 -
2*x^5)*e^52 + 28*(x - 2)*e^50 + 168*(x^3 - 2*x^2)*e^49 + 70*(x^5 - 2*x^4)*e^48 + 56*(x^2 - 2*x)*e^45 + 56*(x^4
- 2*x^3)*e^44 + 8*(x - 2)*e^41 + 28*(x^3 - 2*x^2)*e^40 + 8*(x^2 - 2*x)*e^36 + (x - 2)*e^32)*e^(2*x) + (x - 2)
*e^(4*x + 64) - 4*((x - 2)*e^124 + 12*(x^2 - 2*x)*e^119 + 12*(x - 2)*e^115 + 66*(x^3 - 2*x^2)*e^114 + 132*(x^2
- 2*x)*e^110 + 220*(x^4 - 2*x^3)*e^109 + 66*(x - 2)*e^106 + 660*(x^3 - 2*x^2)*e^105 + 495*(x^5 - 2*x^4)*e^104
+ 660*(x^2 - 2*x)*e^101 + 1980*(x^4 - 2*x^3)*e^100 + 792*(x^6 - 2*x^5)*e^99 + 220*(x - 2)*e^97 + 2970*(x^3 -
2*x^2)*e^96 + 3960*(x^5 - 2*x^4)*e^95 + 924*(x^7 - 2*x^6)*e^94 + 1980*(x^2 - 2*x)*e^92 + 7920*(x^4 - 2*x^3)*e^
91 + 5544*(x^6 - 2*x^5)*e^90 + 792*(x^8 - 2*x^7)*e^89 + 495*(x - 2)*e^88 + 7920*(x^3 - 2*x^2)*e^87 + 13860*(x^
5 - 2*x^4)*e^86 + 5544*(x^7 - 2*x^6)*e^85 + 495*(x^9 - 2*x^8)*e^84 + 3960*(x^2 - 2*x)*e^83 + 18480*(x^4 - 2*x^
3)*e^82 + 16632*(x^6 - 2*x^5)*e^81 + 3960*(x^8 - 2*x^7)*e^80 + 44*(5*x^10 - 10*x^9 + 18*x - 36)*e^79 + 13860*(
x^3 - 2*x^2)*e^78 + 27720*(x^5 - 2*x^4)*e^77 + 13860*(x^7 - 2*x^6)*e^76 + 1980*(x^9 - 2*x^8)*e^75 + 66*(x^11 -
2*x^10 + 84*x^2 - 168*x)*e^74 + 27720*(x^4 - 2*x^3)*e^73 + 27720*(x^6 - 2*x^5)*e^72 + 7920*(x^8 - 2*x^7)*e^71
+ 132*(5*x^10 - 10*x^9 + 7*x - 14)*e^70 + 12*(x^12 - 2*x^11 + 1386*x^3 - 2772*x^2)*e^69 + 34650*(x^5 - 2*x^4)
*e^68 + 18480*(x^7 - 2*x^6)*e^67 + 2970*(x^9 - 2*x^8)*e^66 + 132*(x^11 - 2*x^10 + 42*x^2 - 84*x)*e^65 + (x^13
- 2*x^12 + 27720*x^4 - 55440*x^3)*e^64 + 27720*(x^6 - 2*x^5)*e^63 + 7920*(x^8 - 2*x^7)*e^62 + 132*(5*x^10 - 10
*x^9 + 6*x - 12)*e^61 + 12*(x^12 - 2*x^11 + 1155*x^3 - 2310*x^2)*e^60 + 27720*(x^5 - 2*x^4)*e^59 + 13860*(x^7
- 2*x^6)*e^58 + 1980*(x^9 - 2*x^8)*e^57 + 66*(x^11 - 2*x^10 + 60*x^2 - 120*x)*e^56 + 18480*(x^4 - 2*x^3)*e^55
+ 16632*(x^6 - 2*x^5)*e^54 + 3960*(x^8 - 2*x^7)*e^53 + 55*(4*x^10 - 8*x^9 + 9*x - 18)*e^52 + 7920*(x^3 - 2*x^2
)*e^51 + 13860*(x^5 - 2*x^4)*e^50 + 5544*(x^7 - 2*x^6)*e^49 + 495*(x^9 - 2*x^8)*e^48 + 1980*(x^2 - 2*x)*e^47 +
7920*(x^4 - 2*x^3)*e^46 + 5544*(x^6 - 2*x^5)*e^45 + 792*(x^8 - 2*x^7)*e^44 + 220*(x - 2)*e^43 + 2970*(x^3 - 2
*x^2)*e^42 + 3960*(x^5 - 2*x^4)*e^41 + 924*(x^7 - 2*x^6)*e^40 + 660*(x^2 - 2*x)*e^38 + 1980*(x^4 - 2*x^3)*e^37
+ 792*(x^6 - 2*x^5)*e^36 + 66*(x - 2)*e^34 + 660*(x^3 - 2*x^2)*e^33 + 495*(x^5 - 2*x^4)*e^32 + 132*(x^2 - 2*x
)*e^29 + 220*(x^4 - 2*x^3)*e^28 + 12*(x - 2)*e^25 + 66*(x^3 - 2*x^2)*e^24 + 12*(x^2 - 2*x)*e^20 + (x - 2)*e^16
)*e^x + x)*e^(-64)
________________________________________________________________________________________
giac [B] time = 0.80, size = 4008, normalized size = 167.00 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((2+2*exp(4)^16*exp(5)^16+((-24*x+40)*exp(4)^16*exp(5)^4+((-96*x^2+128*x+64)*exp(4)^16+(-96*x+160)*ex
p(4)^15)*exp(5)^3+((-144*x^3+144*x^2+192*x)*exp(4)^16+(-288*x^2+384*x+192)*exp(4)^15+(-144*x+240)*exp(4)^14)*e
xp(5)^2+((-96*x^4+64*x^3+192*x^2)*exp(4)^16+(-288*x^3+288*x^2+384*x)*exp(4)^15+(-288*x^2+384*x+192)*exp(4)^14+
(-96*x+160)*exp(4)^13)*exp(5)+(-24*x^5+8*x^4+64*x^3)*exp(4)^16+(-96*x^4+64*x^3+192*x^2)*exp(4)^15+(-144*x^3+14
4*x^2+192*x)*exp(4)^14+(-96*x^2+128*x+64)*exp(4)^13+(-24*x+40)*exp(4)^12)*exp(x)^3+((24*x-36)*exp(4)^16*exp(5)
^8+((192*x^2-192*x-192)*exp(4)^16+(192*x-288)*exp(4)^15)*exp(5)^7+((672*x^3-336*x^2-1344*x)*exp(4)^16+(1344*x^
2-1344*x-1344)*exp(4)^15+(672*x-1008)*exp(4)^14)*exp(5)^6+((1344*x^4-4032*x^2)*exp(4)^16+(4032*x^3-2016*x^2-80
64*x)*exp(4)^15+(4032*x^2-4032*x-4032)*exp(4)^14+(1344*x-2016)*exp(4)^13)*exp(5)^5+((1680*x^5+840*x^4-6720*x^3
)*exp(4)^16+(6720*x^4-20160*x^2)*exp(4)^15+(10080*x^3-5040*x^2-20160*x)*exp(4)^14+(6720*x^2-6720*x-6720)*exp(4
)^13+(1680*x-2520)*exp(4)^12)*exp(5)^4+((1344*x^6+1344*x^5-6720*x^4)*exp(4)^16+(6720*x^5+3360*x^4-26880*x^3)*e
xp(4)^15+(13440*x^4-40320*x^2)*exp(4)^14+(13440*x^3-6720*x^2-26880*x)*exp(4)^13+(6720*x^2-6720*x-6720)*exp(4)^
12+(1344*x-2016)*exp(4)^11)*exp(5)^3+((672*x^7+1008*x^6-4032*x^5)*exp(4)^16+(4032*x^6+4032*x^5-20160*x^4)*exp(
4)^15+(10080*x^5+5040*x^4-40320*x^3)*exp(4)^14+(13440*x^4-40320*x^2)*exp(4)^13+(10080*x^3-5040*x^2-20160*x)*ex
p(4)^12+(4032*x^2-4032*x-4032)*exp(4)^11+(672*x-1008)*exp(4)^10)*exp(5)^2+((192*x^8+384*x^7-1344*x^6)*exp(4)^1
6+(1344*x^7+2016*x^6-8064*x^5)*exp(4)^15+(4032*x^6+4032*x^5-20160*x^4)*exp(4)^14+(6720*x^5+3360*x^4-26880*x^3)
*exp(4)^13+(6720*x^4-20160*x^2)*exp(4)^12+(4032*x^3-2016*x^2-8064*x)*exp(4)^11+(1344*x^2-1344*x-1344)*exp(4)^1
0+(192*x-288)*exp(4)^9)*exp(5)+(24*x^9+60*x^8-192*x^7)*exp(4)^16+(192*x^8+384*x^7-1344*x^6)*exp(4)^15+(672*x^7
+1008*x^6-4032*x^5)*exp(4)^14+(1344*x^6+1344*x^5-6720*x^4)*exp(4)^13+(1680*x^5+840*x^4-6720*x^3)*exp(4)^12+(13
44*x^4-4032*x^2)*exp(4)^11+(672*x^3-336*x^2-1344*x)*exp(4)^10+(192*x^2-192*x-192)*exp(4)^9+(24*x-36)*exp(4)^8)
*exp(x)^2+(((-1760*x^4-3520*x^3+10560*x^2)*exp(4)^16+(-5280*x^3-5280*x^2+21120*x)*exp(4)^15+(-5280*x^2+10560)*
exp(4)^14+(-1760*x+1760)*exp(4)^13)*exp(5)^9+((-3960*x^5-11880*x^4+31680*x^3)*exp(4)^16+(-15840*x^4-31680*x^3+
95040*x^2)*exp(4)^15+(-23760*x^3-23760*x^2+95040*x)*exp(4)^14+(-15840*x^2+31680)*exp(4)^13+(-3960*x+3960)*exp(
4)^12)*exp(5)^8+((-6336*x^6-25344*x^5+63360*x^4)*exp(4)^16+(-31680*x^5-95040*x^4+253440*x^3)*exp(4)^15+(-63360
*x^4-126720*x^3+380160*x^2)*exp(4)^14+(-63360*x^3-63360*x^2+253440*x)*exp(4)^13+(-31680*x^2+63360)*exp(4)^12+(
-6336*x+6336)*exp(4)^11)*exp(5)^7+((-7392*x^7-36960*x^6+88704*x^5)*exp(4)^16+(-44352*x^6-177408*x^5+443520*x^4
)*exp(4)^15+(-110880*x^5-332640*x^4+887040*x^3)*exp(4)^14+(-147840*x^4-295680*x^3+887040*x^2)*exp(4)^13+(-1108
80*x^3-110880*x^2+443520*x)*exp(4)^12+(-44352*x^2+88704)*exp(4)^11+(-7392*x+7392)*exp(4)^10)*exp(5)^6+((-6336*
x^8-38016*x^7+88704*x^6)*exp(4)^16+(-44352*x^7-221760*x^6+532224*x^5)*exp(4)^15+(-133056*x^6-532224*x^5+133056
0*x^4)*exp(4)^14+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^13+(-221760*x^4-443520*x^3+1330560*x^2)*exp(4)^12
+(-133056*x^3-133056*x^2+532224*x)*exp(4)^11+(-44352*x^2+88704)*exp(4)^10+(-6336*x+6336)*exp(4)^9)*exp(5)^5+((
-3960*x^9-27720*x^8+63360*x^7)*exp(4)^16+(-31680*x^8-190080*x^7+443520*x^6)*exp(4)^15+(-110880*x^7-554400*x^6+
1330560*x^5)*exp(4)^14+(-221760*x^6-887040*x^5+2217600*x^4)*exp(4)^13+(-277200*x^5-831600*x^4+2217600*x^3)*exp
(4)^12+(-221760*x^4-443520*x^3+1330560*x^2)*exp(4)^11+(-110880*x^3-110880*x^2+443520*x)*exp(4)^10+(-31680*x^2+
63360)*exp(4)^9+(-3960*x+3960)*exp(4)^8)*exp(5)^4+((-96*x^2+192)*exp(4)^16+(-96*x+96)*exp(4)^15)*exp(5)^11+((-
528*x^3-528*x^2+2112*x)*exp(4)^16+(-1056*x^2+2112)*exp(4)^15+(-528*x+528)*exp(4)^14)*exp(5)^10+(-8*x+8)*exp(4)
^16*exp(5)^12+(-8*x+8)*exp(4)^4+((-1760*x^10-14080*x^9+31680*x^8)*exp(4)^16+(-15840*x^9-110880*x^8+253440*x^7)
*exp(4)^15+(-63360*x^8-380160*x^7+887040*x^6)*exp(4)^14+(-147840*x^7-739200*x^6+1774080*x^5)*exp(4)^13+(-22176
0*x^6-887040*x^5+2217600*x^4)*exp(4)^12+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^11+(-147840*x^4-295680*x^3
+887040*x^2)*exp(4)^10+(-63360*x^3-63360*x^2+253440*x)*exp(4)^9+(-15840*x^2+31680)*exp(4)^8+(-1760*x+1760)*exp
(4)^7)*exp(5)^3+((-528*x^11-4752*x^10+10560*x^9)*exp(4)^16+(-5280*x^10-42240*x^9+95040*x^8)*exp(4)^15+(-23760*
x^9-166320*x^8+380160*x^7)*exp(4)^14+(-63360*x^8-380160*x^7+887040*x^6)*exp(4)^13+(-110880*x^7-554400*x^6+1330
560*x^5)*exp(4)^12+(-133056*x^6-532224*x^5+1330560*x^4)*exp(4)^11+(-110880*x^5-332640*x^4+887040*x^3)*exp(4)^1
0+(-63360*x^4-126720*x^3+380160*x^2)*exp(4)^9+(-23760*x^3-23760*x^2+95040*x)*exp(4)^8+(-5280*x^2+10560)*exp(4)
^7+(-528*x+528)*exp(4)^6)*exp(5)^2+((-96*x^12-960*x^11+2112*x^10)*exp(4)^16+(-1056*x^11-9504*x^10+21120*x^9)*e
xp(4)^15+(-5280*x^10-42240*x^9+95040*x^8)*exp(4)^14+(-15840*x^9-110880*x^8+253440*x^7)*exp(4)^13+(-31680*x^8-1
90080*x^7+443520*x^6)*exp(4)^12+(-44352*x^7-221760*x^6+532224*x^5)*exp(4)^11+(-44352*x^6-177408*x^5+443520*x^4
)*exp(4)^10+(-31680*x^5-95040*x^4+253440*x^3)*exp(4)^9+(-15840*x^4-31680*x^3+95040*x^2)*exp(4)^8+(-5280*x^3-52
80*x^2+21120*x)*exp(4)^7+(-1056*x^2+2112)*exp(4)^6+(-96*x+96)*exp(4)^5)*exp(5)+(-8*x^13-88*x^12+192*x^11)*exp(
4)^16+(-96*x^12-960*x^11+2112*x^10)*exp(4)^15+(-528*x^11-4752*x^10+10560*x^9)*exp(4)^14+(-1760*x^10-14080*x^9+
31680*x^8)*exp(4)^13+(-3960*x^9-27720*x^8+63360*x^7)*exp(4)^12+(-6336*x^8-38016*x^7+88704*x^6)*exp(4)^11+(-739
2*x^7-36960*x^6+88704*x^5)*exp(4)^10+(-6336*x^6-25344*x^5+63360*x^4)*exp(4)^9+(-3960*x^5-11880*x^4+31680*x^3)*
exp(4)^8+(-1760*x^4-3520*x^3+10560*x^2)*exp(4)^7+(-528*x^3-528*x^2+2112*x)*exp(4)^6+(-96*x^2+192)*exp(4)^5)*ex
p(x)+((64*x-64)*exp(4)^16+32*exp(4)^15)*exp(5)^15+((720*x^2-960*x)*exp(4)^16+(960*x-960)*exp(4)^15+240*exp(4)^
14)*exp(5)^14+((4480*x^3-6720*x^2)*exp(4)^16+(10080*x^2-13440*x)*exp(4)^15+(6720*x-6720)*exp(4)^14+1120*exp(4)
^13)*exp(5)^13+((18200*x^4-29120*x^3)*exp(4)^16+(58240*x^3-87360*x^2)*exp(4)^15+(65520*x^2-87360*x)*exp(4)^14+
(29120*x-29120)*exp(4)^13+3640*exp(4)^12)*exp(5)^12+(8*x-14)*exp(4)^16*exp(x)^4+((183040*x^7-320320*x^6)*exp(4
)^16+(1121120*x^6-1921920*x^5)*exp(4)^15+(2882880*x^5-4804800*x^4)*exp(4)^14+(4004000*x^4-6406400*x^3)*exp(4)^
13+(3203200*x^3-4804800*x^2)*exp(4)^12+(1441440*x^2-1921920*x)*exp(4)^11+(320320*x-320320)*exp(4)^10+22880*exp
(4)^9)*exp(5)^9+((176176*x^10-320320*x^9)*exp(4)^16+(1601600*x^9-2882880*x^8)*exp(4)^15+(6486480*x^8-11531520*
x^7)*exp(4)^14+(15375360*x^7-26906880*x^6)*exp(4)^13+(23543520*x^6-40360320*x^5)*exp(4)^12+(24216192*x^5-40360
320*x^4)*exp(4)^11+(16816800*x^4-26906880*x^3)*exp(4)^10+(7687680*x^3-11531520*x^2)*exp(4)^9+(2162160*x^2-2882
880*x)*exp(4)^8+(320320*x-320320)*exp(4)^7+16016*exp(4)^6)*exp(5)^6+((52416*x^5-87360*x^4)*exp(4)^16+(218400*x
^4-349440*x^3)*exp(4)^15+(349440*x^3-524160*x^2)*exp(4)^14+(262080*x^2-349440*x)*exp(4)^13+(87360*x-87360)*exp
(4)^12+8736*exp(4)^11)*exp(5)^11+((112112*x^6-192192*x^5)*exp(4)^16+(576576*x^5-960960*x^4)*exp(4)^15+(1201200
*x^4-1921920*x^3)*exp(4)^14+(1281280*x^3-1921920*x^2)*exp(4)^13+(720720*x^2-960960*x)*exp(4)^12+(192192*x-1921
92)*exp(4)^11+16016*exp(4)^10)*exp(5)^10+((47320*x^12-87360*x^11)*exp(4)^16+(524160*x^11-960960*x^10)*exp(4)^1
5+(2642640*x^10-4804800*x^9)*exp(4)^14+(8008000*x^9-14414400*x^8)*exp(4)^13+(16216200*x^8-28828800*x^7)*exp(4)
^12+(23063040*x^7-40360320*x^6)*exp(4)^11+(23543520*x^6-40360320*x^5)*exp(4)^10+(17297280*x^5-28828800*x^4)*ex
p(4)^9+(9009000*x^4-14414400*x^3)*exp(4)^8+(3203200*x^3-4804800*x^2)*exp(4)^7+(720720*x^2-960960*x)*exp(4)^6+(
87360*x-87360)*exp(4)^5+3640*exp(4)^4)*exp(5)^4+((231660*x^8-411840*x^7)*exp(4)^16+(1647360*x^7-2882880*x^6)*e
xp(4)^15+(5045040*x^6-8648640*x^5)*exp(4)^14+(8648640*x^5-14414400*x^4)*exp(4)^13+(9009000*x^4-14414400*x^3)*e
xp(4)^12+(5765760*x^3-8648640*x^2)*exp(4)^11+(2162160*x^2-2882880*x)*exp(4)^10+(411840*x-411840)*exp(4)^9+2574
0*exp(4)^8)*exp(5)^8+((228800*x^9-411840*x^8)*exp(4)^16+(1853280*x^8-3294720*x^7)*exp(4)^15+(6589440*x^7-11531
520*x^6)*exp(4)^14+(13453440*x^6-23063040*x^5)*exp(4)^13+(17297280*x^5-28828800*x^4)*exp(4)^12+(14414400*x^4-2
3063040*x^3)*exp(4)^11+(7687680*x^3-11531520*x^2)*exp(4)^10+(2471040*x^2-3294720*x)*exp(4)^9+(411840*x-411840)
*exp(4)^8+22880*exp(4)^7)*exp(5)^7+((3600*x^14-6720*x^13)*exp(4)^16+(47040*x^13-87360*x^12)*exp(4)^15+(283920*
x^12-524160*x^11)*exp(4)^14+(1048320*x^11-1921920*x^10)*exp(4)^13+(2642640*x^10-4804800*x^9)*exp(4)^12+(480480
0*x^9-8648640*x^8)*exp(4)^11+(6486480*x^8-11531520*x^7)*exp(4)^10+(6589440*x^7-11531520*x^6)*exp(4)^9+(5045040
*x^6-8648640*x^5)*exp(4)^8+(2882880*x^5-4804800*x^4)*exp(4)^7+(1201200*x^4-1921920*x^3)*exp(4)^6+(349440*x^3-5
24160*x^2)*exp(4)^5+(65520*x^2-87360*x)*exp(4)^4+(6720*x-6720)*exp(4)^3+240*exp(4)^2)*exp(5)^2+((104832*x^11-1
92192*x^10)*exp(4)^16+(1057056*x^10-1921920*x^9)*exp(4)^15+(4804800*x^9-8648640*x^8)*exp(4)^14+(12972960*x^8-2
3063040*x^7)*exp(4)^13+(23063040*x^7-40360320*x^6)*exp(4)^12+(28252224*x^6-48432384*x^5)*exp(4)^11+(24216192*x
^5-40360320*x^4)*exp(4)^10+(14414400*x^4-23063040*x^3)*exp(4)^9+(5765760*x^3-8648640*x^2)*exp(4)^8+(1441440*x^
2-1921920*x)*exp(4)^7+(192192*x-192192)*exp(4)^6+8736*exp(4)^5)*exp(5)^5+(231660*x^8-411840*x^7)*exp(4)^8+(183
040*x^7-320320*x^6)*exp(4)^7+(112112*x^6-192192*x^5)*exp(4)^6+(52416*x^5-87360*x^4)*exp(4)^5+(18200*x^4-29120*
x^3)*exp(4)^4+(4480*x^3-6720*x^2)*exp(4)^3+(720*x^2-960*x)*exp(4)^2+((15680*x^13-29120*x^12)*exp(4)^16+(189280
*x^12-349440*x^11)*exp(4)^15+(1048320*x^11-1921920*x^10)*exp(4)^14+(3523520*x^10-6406400*x^9)*exp(4)^13+(80080
00*x^9-14414400*x^8)*exp(4)^12+(12972960*x^8-23063040*x^7)*exp(4)^11+(15375360*x^7-26906880*x^6)*exp(4)^10+(13
453440*x^6-23063040*x^5)*exp(4)^9+(8648640*x^5-14414400*x^4)*exp(4)^8+(4004000*x^4-6406400*x^3)*exp(4)^7+(1281
280*x^3-1921920*x^2)*exp(4)^6+(262080*x^2-349440*x)*exp(4)^5+(29120*x-29120)*exp(4)^4+1120*exp(4)^3)*exp(5)^3+
(64*x-64)*exp(4)+((512*x^15-960*x^14)*exp(4)^16+(7200*x^14-13440*x^13)*exp(4)^15+(47040*x^13-87360*x^12)*exp(4
)^14+(189280*x^12-349440*x^11)*exp(4)^13+(524160*x^11-960960*x^10)*exp(4)^12+(1057056*x^10-1921920*x^9)*exp(4)
^11+(1601600*x^9-2882880*x^8)*exp(4)^10+(1853280*x^8-3294720*x^7)*exp(4)^9+(1647360*x^7-2882880*x^6)*exp(4)^8+
(1121120*x^6-1921920*x^5)*exp(4)^7+(576576*x^5-960960*x^4)*exp(4)^6+(218400*x^4-349440*x^3)*exp(4)^5+(58240*x^
3-87360*x^2)*exp(4)^4+(10080*x^2-13440*x)*exp(4)^3+(960*x-960)*exp(4)^2+32*exp(4))*exp(5)+(34*x^16-64*x^15)*ex
p(4)^16+(512*x^15-960*x^14)*exp(4)^15+(3600*x^14-6720*x^13)*exp(4)^14+(15680*x^13-29120*x^12)*exp(4)^13+(47320
*x^12-87360*x^11)*exp(4)^12+(104832*x^11-192192*x^10)*exp(4)^11+(176176*x^10-320320*x^9)*exp(4)^10+(228800*x^9
-411840*x^8)*exp(4)^9)/exp(4)^16,x, algorithm="giac")
[Out]
2*(x*e^144 + 16*((x^2 - 2*x)*e^64 + x*e^60)*e^75 + 120*((x^3 - 2*x^2)*e^64 + 2*(x^2 - 2*x)*e^60 + x*e^56)*e^70
+ 560*((x^4 - 2*x^3)*e^64 + 3*(x^3 - 2*x^2)*e^60 + 3*(x^2 - 2*x)*e^56 + x*e^52)*e^65 + (x^17 - 2*x^16)*e^64 +
16*(x^16 - 2*x^15)*e^60 + 1820*((x^5 - 2*x^4)*e^64 + 4*(x^4 - 2*x^3)*e^60 + 6*(x^3 - 2*x^2)*e^56 + 4*(x^2 - 2
*x)*e^52 + x*e^48)*e^60 + 120*(x^15 - 2*x^14)*e^56 + 4368*((x^6 - 2*x^5)*e^64 + 5*(x^5 - 2*x^4)*e^60 + 10*(x^4
- 2*x^3)*e^56 + 10*(x^3 - 2*x^2)*e^52 + 5*(x^2 - 2*x)*e^48 + x*e^44)*e^55 + 560*(x^14 - 2*x^13)*e^52 + 8008*(
(x^7 - 2*x^6)*e^64 + 6*(x^6 - 2*x^5)*e^60 + 15*(x^5 - 2*x^4)*e^56 + 20*(x^4 - 2*x^3)*e^52 + 15*(x^3 - 2*x^2)*e
^48 + 6*(x^2 - 2*x)*e^44 + x*e^40)*e^50 + 1820*(x^13 - 2*x^12)*e^48 + 11440*((x^8 - 2*x^7)*e^64 + 7*(x^7 - 2*x
^6)*e^60 + 21*(x^6 - 2*x^5)*e^56 + 35*(x^5 - 2*x^4)*e^52 + 35*(x^4 - 2*x^3)*e^48 + 21*(x^3 - 2*x^2)*e^44 + 7*(
x^2 - 2*x)*e^40 + x*e^36)*e^45 + 4368*(x^12 - 2*x^11)*e^44 + 8008*(x^11 - 2*x^10)*e^40 + 12870*((x^9 - 2*x^8)*
e^64 + 8*(x^8 - 2*x^7)*e^60 + 28*(x^7 - 2*x^6)*e^56 + 56*(x^6 - 2*x^5)*e^52 + 70*(x^5 - 2*x^4)*e^48 + 56*(x^4
- 2*x^3)*e^44 + 28*(x^3 - 2*x^2)*e^40 + 8*(x^2 - 2*x)*e^36 + x*e^32)*e^40 + 11440*(x^10 - 2*x^9)*e^36 + 11440*
((x^10 - 2*x^9)*e^64 + 9*(x^9 - 2*x^8)*e^60 + 36*(x^8 - 2*x^7)*e^56 + 84*(x^7 - 2*x^6)*e^52 + 126*(x^6 - 2*x^5
)*e^48 + 126*(x^5 - 2*x^4)*e^44 + 84*(x^4 - 2*x^3)*e^40 + 36*(x^3 - 2*x^2)*e^36 + 9*(x^2 - 2*x)*e^32 + x*e^28)
*e^35 + 12870*(x^9 - 2*x^8)*e^32 + 8008*((x^11 - 2*x^10)*e^64 + 10*(x^10 - 2*x^9)*e^60 + 45*(x^9 - 2*x^8)*e^56
+ 120*(x^8 - 2*x^7)*e^52 + 210*(x^7 - 2*x^6)*e^48 + 252*(x^6 - 2*x^5)*e^44 + 210*(x^5 - 2*x^4)*e^40 + 120*(x^
4 - 2*x^3)*e^36 + 45*(x^3 - 2*x^2)*e^32 + 10*(x^2 - 2*x)*e^28 + x*e^24)*e^30 + 11440*(x^8 - 2*x^7)*e^28 + 4368
*((x^12 - 2*x^11)*e^64 + 11*(x^11 - 2*x^10)*e^60 + 55*(x^10 - 2*x^9)*e^56 + 165*(x^9 - 2*x^8)*e^52 + 330*(x^8
- 2*x^7)*e^48 + 462*(x^7 - 2*x^6)*e^44 + 462*(x^6 - 2*x^5)*e^40 + 330*(x^5 - 2*x^4)*e^36 + 165*(x^4 - 2*x^3)*e
^32 + 55*(x^3 - 2*x^2)*e^28 + 11*(x^2 - 2*x)*e^24 + x*e^20)*e^25 + 8008*(x^7 - 2*x^6)*e^24 + 4368*(x^6 - 2*x^5
)*e^20 + 1820*((x^13 - 2*x^12)*e^64 + 12*(x^12 - 2*x^11)*e^60 + 66*(x^11 - 2*x^10)*e^56 + 220*(x^10 - 2*x^9)*e
^52 + 495*(x^9 - 2*x^8)*e^48 + 792*(x^8 - 2*x^7)*e^44 + 924*(x^7 - 2*x^6)*e^40 + 792*(x^6 - 2*x^5)*e^36 + 495*
(x^5 - 2*x^4)*e^32 + 220*(x^4 - 2*x^3)*e^28 + 66*(x^3 - 2*x^2)*e^24 + 12*(x^2 - 2*x)*e^20 + x*e^16)*e^20 + 182
0*(x^5 - 2*x^4)*e^16 + 560*((x^14 - 2*x^13)*e^64 + 13*(x^13 - 2*x^12)*e^60 + 78*(x^12 - 2*x^11)*e^56 + 286*(x^
11 - 2*x^10)*e^52 + 715*(x^10 - 2*x^9)*e^48 + 1287*(x^9 - 2*x^8)*e^44 + 1716*(x^8 - 2*x^7)*e^40 + 1716*(x^7 -
2*x^6)*e^36 + 1287*(x^6 - 2*x^5)*e^32 + 715*(x^5 - 2*x^4)*e^28 + 286*(x^4 - 2*x^3)*e^24 + 78*(x^3 - 2*x^2)*e^2
0 + 13*(x^2 - 2*x)*e^16 + x*e^12)*e^15 + 560*(x^4 - 2*x^3)*e^12 + 120*((x^15 - 2*x^14)*e^64 + 14*(x^14 - 2*x^1
3)*e^60 + 91*(x^13 - 2*x^12)*e^56 + 364*(x^12 - 2*x^11)*e^52 + 1001*(x^11 - 2*x^10)*e^48 + 2002*(x^10 - 2*x^9)
*e^44 + 3003*(x^9 - 2*x^8)*e^40 + 3432*(x^8 - 2*x^7)*e^36 + 3003*(x^7 - 2*x^6)*e^32 + 2002*(x^6 - 2*x^5)*e^28
+ 1001*(x^5 - 2*x^4)*e^24 + 364*(x^4 - 2*x^3)*e^20 + 91*(x^3 - 2*x^2)*e^16 + 14*(x^2 - 2*x)*e^12 + x*e^8)*e^10
+ 120*(x^3 - 2*x^2)*e^8 + 16*((x^16 - 2*x^15)*e^64 + 15*(x^15 - 2*x^14)*e^60 + 105*(x^14 - 2*x^13)*e^56 + 455
*(x^13 - 2*x^12)*e^52 + 1365*(x^12 - 2*x^11)*e^48 + 3003*(x^11 - 2*x^10)*e^44 + 5005*(x^10 - 2*x^9)*e^40 + 643
5*(x^9 - 2*x^8)*e^36 + 6435*(x^8 - 2*x^7)*e^32 + 5005*(x^7 - 2*x^6)*e^28 + 3003*(x^6 - 2*x^5)*e^24 + 1365*(x^5
- 2*x^4)*e^20 + 455*(x^4 - 2*x^3)*e^16 + 105*(x^3 - 2*x^2)*e^12 + 15*(x^2 - 2*x)*e^8 + x*e^4)*e^5 + 16*(x^2 -
2*x)*e^4 + (x - 2)*e^(4*x + 64) - 4*(x - 2)*e^(3*x + 84) - 16*(x^2 - 2*x)*e^(3*x + 79) - 16*(x - 2)*e^(3*x +
75) - 24*(x^3 - 2*x^2)*e^(3*x + 74) - 48*(x^2 - 2*x)*e^(3*x + 70) - 16*(x^4 - 2*x^3)*e^(3*x + 69) - 24*(x - 2)
*e^(3*x + 66) - 48*(x^3 - 2*x^2)*e^(3*x + 65) - 4*(x^5 - 2*x^4)*e^(3*x + 64) - 48*(x^2 - 2*x)*e^(3*x + 61) - 1
6*(x^4 - 2*x^3)*e^(3*x + 60) - 16*(x - 2)*e^(3*x + 57) - 24*(x^3 - 2*x^2)*e^(3*x + 56) - 16*(x^2 - 2*x)*e^(3*x
+ 52) - 4*(x - 2)*e^(3*x + 48) + 6*(x - 2)*e^(2*x + 104) + 48*(x^2 - 2*x)*e^(2*x + 99) + 48*(x - 2)*e^(2*x +
95) + 168*(x^3 - 2*x^2)*e^(2*x + 94) + 336*(x^2 - 2*x)*e^(2*x + 90) + 336*(x^4 - 2*x^3)*e^(2*x + 89) + 168*(x
- 2)*e^(2*x + 86) + 1008*(x^3 - 2*x^2)*e^(2*x + 85) + 420*(x^5 - 2*x^4)*e^(2*x + 84) + 1008*(x^2 - 2*x)*e^(2*x
+ 81) + 1680*(x^4 - 2*x^3)*e^(2*x + 80) + 336*(x^6 - 2*x^5)*e^(2*x + 79) + 336*(x - 2)*e^(2*x + 77) + 2520*(x
^3 - 2*x^2)*e^(2*x + 76) + 1680*(x^5 - 2*x^4)*e^(2*x + 75) + 168*(x^7 - 2*x^6)*e^(2*x + 74) + 1680*(x^2 - 2*x)
*e^(2*x + 72) + 3360*(x^4 - 2*x^3)*e^(2*x + 71) + 1008*(x^6 - 2*x^5)*e^(2*x + 70) + 48*(x^8 - 2*x^7)*e^(2*x +
69) + 420*(x - 2)*e^(2*x + 68) + 3360*(x^3 - 2*x^2)*e^(2*x + 67) + 2520*(x^5 - 2*x^4)*e^(2*x + 66) + 336*(x^7
- 2*x^6)*e^(2*x + 65) + 6*(x^9 - 2*x^8)*e^(2*x + 64) + 1680*(x^2 - 2*x)*e^(2*x + 63) + 3360*(x^4 - 2*x^3)*e^(2
*x + 62) + 1008*(x^6 - 2*x^5)*e^(2*x + 61) + 48*(x^8 - 2*x^7)*e^(2*x + 60) + 336*(x - 2)*e^(2*x + 59) + 2520*(
x^3 - 2*x^2)*e^(2*x + 58) + 1680*(x^5 - 2*x^4)*e^(2*x + 57) + 168*(x^7 - 2*x^6)*e^(2*x + 56) + 1008*(x^2 - 2*x
)*e^(2*x + 54) + 1680*(x^4 - 2*x^3)*e^(2*x + 53) + 336*(x^6 - 2*x^5)*e^(2*x + 52) + 168*(x - 2)*e^(2*x + 50) +
1008*(x^3 - 2*x^2)*e^(2*x + 49) + 420*(x^5 - 2*x^4)*e^(2*x + 48) + 336*(x^2 - 2*x)*e^(2*x + 45) + 336*(x^4 -
2*x^3)*e^(2*x + 44) + 48*(x - 2)*e^(2*x + 41) + 168*(x^3 - 2*x^2)*e^(2*x + 40) + 48*(x^2 - 2*x)*e^(2*x + 36) +
6*(x - 2)*e^(2*x + 32) - 4*(x - 2)*e^(x + 124) - 48*(x^2 - 2*x)*e^(x + 119) - 48*(x - 2)*e^(x + 115) - 264*(x
^3 - 2*x^2)*e^(x + 114) - 528*(x^2 - 2*x)*e^(x + 110) - 880*(x^4 - 2*x^3)*e^(x + 109) - 264*(x - 2)*e^(x + 106
) - 2640*(x^3 - 2*x^2)*e^(x + 105) - 1980*(x^5 - 2*x^4)*e^(x + 104) - 2640*(x^2 - 2*x)*e^(x + 101) - 7920*(x^4
- 2*x^3)*e^(x + 100) - 3168*(x^6 - 2*x^5)*e^(x + 99) - 880*(x - 2)*e^(x + 97) - 11880*(x^3 - 2*x^2)*e^(x + 96
) - 15840*(x^5 - 2*x^4)*e^(x + 95) - 3696*(x^7 - 2*x^6)*e^(x + 94) - 7920*(x^2 - 2*x)*e^(x + 92) - 31680*(x^4
- 2*x^3)*e^(x + 91) - 22176*(x^6 - 2*x^5)*e^(x + 90) - 3168*(x^8 - 2*x^7)*e^(x + 89) - 1980*(x - 2)*e^(x + 88)
- 31680*(x^3 - 2*x^2)*e^(x + 87) - 55440*(x^5 - 2*x^4)*e^(x + 86) - 22176*(x^7 - 2*x^6)*e^(x + 85) - 1980*(x^
9 - 2*x^8)*e^(x + 84) - 15840*(x^2 - 2*x)*e^(x + 83) - 73920*(x^4 - 2*x^3)*e^(x + 82) - 66528*(x^6 - 2*x^5)*e^
(x + 81) - 15840*(x^8 - 2*x^7)*e^(x + 80) - 176*(5*x^10 - 10*x^9 + 18*x - 36)*e^(x + 79) - 55440*(x^3 - 2*x^2)
*e^(x + 78) - 110880*(x^5 - 2*x^4)*e^(x + 77) - 55440*(x^7 - 2*x^6)*e^(x + 76) - 7920*(x^9 - 2*x^8)*e^(x + 75)
- 264*(x^11 - 2*x^10 + 84*x^2 - 168*x)*e^(x + 74) - 110880*(x^4 - 2*x^3)*e^(x + 73) - 110880*(x^6 - 2*x^5)*e^
(x + 72) - 31680*(x^8 - 2*x^7)*e^(x + 71) - 528*(5*x^10 - 10*x^9 + 7*x - 14)*e^(x + 70) - 48*(x^12 - 2*x^11 +
1386*x^3 - 2772*x^2)*e^(x + 69) - 138600*(x^5 - 2*x^4)*e^(x + 68) - 73920*(x^7 - 2*x^6)*e^(x + 67) - 11880*(x^
9 - 2*x^8)*e^(x + 66) - 528*(x^11 - 2*x^10 + 42*x^2 - 84*x)*e^(x + 65) - 4*(x^13 - 2*x^12 + 27720*x^4 - 55440*
x^3)*e^(x + 64) - 110880*(x^6 - 2*x^5)*e^(x + 63) - 31680*(x^8 - 2*x^7)*e^(x + 62) - 528*(5*x^10 - 10*x^9 + 6*
x - 12)*e^(x + 61) - 48*(x^12 - 2*x^11 + 1155*x^3 - 2310*x^2)*e^(x + 60) - 110880*(x^5 - 2*x^4)*e^(x + 59) - 5
5440*(x^7 - 2*x^6)*e^(x + 58) - 7920*(x^9 - 2*x^8)*e^(x + 57) - 264*(x^11 - 2*x^10 + 60*x^2 - 120*x)*e^(x + 56
) - 73920*(x^4 - 2*x^3)*e^(x + 55) - 66528*(x^6 - 2*x^5)*e^(x + 54) - 15840*(x^8 - 2*x^7)*e^(x + 53) - 220*(4*
x^10 - 8*x^9 + 9*x - 18)*e^(x + 52) - 31680*(x^3 - 2*x^2)*e^(x + 51) - 55440*(x^5 - 2*x^4)*e^(x + 50) - 22176*
(x^7 - 2*x^6)*e^(x + 49) - 1980*(x^9 - 2*x^8)*e^(x + 48) - 7920*(x^2 - 2*x)*e^(x + 47) - 31680*(x^4 - 2*x^3)*e
^(x + 46) - 22176*(x^6 - 2*x^5)*e^(x + 45) - 3168*(x^8 - 2*x^7)*e^(x + 44) - 880*(x - 2)*e^(x + 43) - 11880*(x
^3 - 2*x^2)*e^(x + 42) - 15840*(x^5 - 2*x^4)*e^(x + 41) - 3696*(x^7 - 2*x^6)*e^(x + 40) - 2640*(x^2 - 2*x)*e^(
x + 38) - 7920*(x^4 - 2*x^3)*e^(x + 37) - 3168*(x^6 - 2*x^5)*e^(x + 36) - 264*(x - 2)*e^(x + 34) - 2640*(x^3 -
2*x^2)*e^(x + 33) - 1980*(x^5 - 2*x^4)*e^(x + 32) - 528*(x^2 - 2*x)*e^(x + 29) - 880*(x^4 - 2*x^3)*e^(x + 28)
- 48*(x - 2)*e^(x + 25) - 264*(x^3 - 2*x^2)*e^(x + 24) - 48*(x^2 - 2*x)*e^(x + 20) - 4*(x - 2)*e^(x + 16) + x
)*e^(-64)
________________________________________________________________________________________
maple [B] time = 0.45, size = 3921, normalized size = 163.38
|
|
|
| method |
result |
size |
|
|
|
| risch |
\(\text {Expression too large to display}\) |
\(3921\) |
| default |
\(\text {Expression too large to display}\) |
\(18680\) |
|
|
|
| |
| |
| |
| |
|
|
|
|
Verification of antiderivative is not currently implemented for this CAS.
[In]
int((2+2*exp(4)^16*exp(5)^16+((-24*x+40)*exp(4)^16*exp(5)^4+((-96*x^2+128*x+64)*exp(4)^16+(-96*x+160)*exp(4)^1
5)*exp(5)^3+((-144*x^3+144*x^2+192*x)*exp(4)^16+(-288*x^2+384*x+192)*exp(4)^15+(-144*x+240)*exp(4)^14)*exp(5)^
2+((-96*x^4+64*x^3+192*x^2)*exp(4)^16+(-288*x^3+288*x^2+384*x)*exp(4)^15+(-288*x^2+384*x+192)*exp(4)^14+(-96*x
+160)*exp(4)^13)*exp(5)+(-24*x^5+8*x^4+64*x^3)*exp(4)^16+(-96*x^4+64*x^3+192*x^2)*exp(4)^15+(-144*x^3+144*x^2+
192*x)*exp(4)^14+(-96*x^2+128*x+64)*exp(4)^13+(-24*x+40)*exp(4)^12)*exp(x)^3+((24*x-36)*exp(4)^16*exp(5)^8+((1
92*x^2-192*x-192)*exp(4)^16+(192*x-288)*exp(4)^15)*exp(5)^7+((672*x^3-336*x^2-1344*x)*exp(4)^16+(1344*x^2-1344
*x-1344)*exp(4)^15+(672*x-1008)*exp(4)^14)*exp(5)^6+((1344*x^4-4032*x^2)*exp(4)^16+(4032*x^3-2016*x^2-8064*x)*
exp(4)^15+(4032*x^2-4032*x-4032)*exp(4)^14+(1344*x-2016)*exp(4)^13)*exp(5)^5+((1680*x^5+840*x^4-6720*x^3)*exp(
4)^16+(6720*x^4-20160*x^2)*exp(4)^15+(10080*x^3-5040*x^2-20160*x)*exp(4)^14+(6720*x^2-6720*x-6720)*exp(4)^13+(
1680*x-2520)*exp(4)^12)*exp(5)^4+((1344*x^6+1344*x^5-6720*x^4)*exp(4)^16+(6720*x^5+3360*x^4-26880*x^3)*exp(4)^
15+(13440*x^4-40320*x^2)*exp(4)^14+(13440*x^3-6720*x^2-26880*x)*exp(4)^13+(6720*x^2-6720*x-6720)*exp(4)^12+(13
44*x-2016)*exp(4)^11)*exp(5)^3+((672*x^7+1008*x^6-4032*x^5)*exp(4)^16+(4032*x^6+4032*x^5-20160*x^4)*exp(4)^15+
(10080*x^5+5040*x^4-40320*x^3)*exp(4)^14+(13440*x^4-40320*x^2)*exp(4)^13+(10080*x^3-5040*x^2-20160*x)*exp(4)^1
2+(4032*x^2-4032*x-4032)*exp(4)^11+(672*x-1008)*exp(4)^10)*exp(5)^2+((192*x^8+384*x^7-1344*x^6)*exp(4)^16+(134
4*x^7+2016*x^6-8064*x^5)*exp(4)^15+(4032*x^6+4032*x^5-20160*x^4)*exp(4)^14+(6720*x^5+3360*x^4-26880*x^3)*exp(4
)^13+(6720*x^4-20160*x^2)*exp(4)^12+(4032*x^3-2016*x^2-8064*x)*exp(4)^11+(1344*x^2-1344*x-1344)*exp(4)^10+(192
*x-288)*exp(4)^9)*exp(5)+(24*x^9+60*x^8-192*x^7)*exp(4)^16+(192*x^8+384*x^7-1344*x^6)*exp(4)^15+(672*x^7+1008*
x^6-4032*x^5)*exp(4)^14+(1344*x^6+1344*x^5-6720*x^4)*exp(4)^13+(1680*x^5+840*x^4-6720*x^3)*exp(4)^12+(1344*x^4
-4032*x^2)*exp(4)^11+(672*x^3-336*x^2-1344*x)*exp(4)^10+(192*x^2-192*x-192)*exp(4)^9+(24*x-36)*exp(4)^8)*exp(x
)^2+((4480*x^3-6720*x^2)*exp(4)^16+(10080*x^2-13440*x)*exp(4)^15+(6720*x-6720)*exp(4)^14+1120*exp(4)^13)*exp(5
)^13+((18200*x^4-29120*x^3)*exp(4)^16+(58240*x^3-87360*x^2)*exp(4)^15+(65520*x^2-87360*x)*exp(4)^14+(29120*x-2
9120)*exp(4)^13+3640*exp(4)^12)*exp(5)^12+(((-3960*x^9-27720*x^8+63360*x^7)*exp(4)^16+(-31680*x^8-190080*x^7+4
43520*x^6)*exp(4)^15+(-110880*x^7-554400*x^6+1330560*x^5)*exp(4)^14+(-221760*x^6-887040*x^5+2217600*x^4)*exp(4
)^13+(-277200*x^5-831600*x^4+2217600*x^3)*exp(4)^12+(-221760*x^4-443520*x^3+1330560*x^2)*exp(4)^11+(-110880*x^
3-110880*x^2+443520*x)*exp(4)^10+(-31680*x^2+63360)*exp(4)^9+(-3960*x+3960)*exp(4)^8)*exp(5)^4+((-96*x^2+192)*
exp(4)^16+(-96*x+96)*exp(4)^15)*exp(5)^11+((-528*x^3-528*x^2+2112*x)*exp(4)^16+(-1056*x^2+2112)*exp(4)^15+(-52
8*x+528)*exp(4)^14)*exp(5)^10+((-1760*x^4-3520*x^3+10560*x^2)*exp(4)^16+(-5280*x^3-5280*x^2+21120*x)*exp(4)^15
+(-5280*x^2+10560)*exp(4)^14+(-1760*x+1760)*exp(4)^13)*exp(5)^9+((-3960*x^5-11880*x^4+31680*x^3)*exp(4)^16+(-1
5840*x^4-31680*x^3+95040*x^2)*exp(4)^15+(-23760*x^3-23760*x^2+95040*x)*exp(4)^14+(-15840*x^2+31680)*exp(4)^13+
(-3960*x+3960)*exp(4)^12)*exp(5)^8+((-6336*x^6-25344*x^5+63360*x^4)*exp(4)^16+(-31680*x^5-95040*x^4+253440*x^3
)*exp(4)^15+(-63360*x^4-126720*x^3+380160*x^2)*exp(4)^14+(-63360*x^3-63360*x^2+253440*x)*exp(4)^13+(-31680*x^2
+63360)*exp(4)^12+(-6336*x+6336)*exp(4)^11)*exp(5)^7+((-528*x^11-4752*x^10+10560*x^9)*exp(4)^16+(-5280*x^10-42
240*x^9+95040*x^8)*exp(4)^15+(-23760*x^9-166320*x^8+380160*x^7)*exp(4)^14+(-63360*x^8-380160*x^7+887040*x^6)*e
xp(4)^13+(-110880*x^7-554400*x^6+1330560*x^5)*exp(4)^12+(-133056*x^6-532224*x^5+1330560*x^4)*exp(4)^11+(-11088
0*x^5-332640*x^4+887040*x^3)*exp(4)^10+(-63360*x^4-126720*x^3+380160*x^2)*exp(4)^9+(-23760*x^3-23760*x^2+95040
*x)*exp(4)^8+(-5280*x^2+10560)*exp(4)^7+(-528*x+528)*exp(4)^6)*exp(5)^2+((-7392*x^7-36960*x^6+88704*x^5)*exp(4
)^16+(-44352*x^6-177408*x^5+443520*x^4)*exp(4)^15+(-110880*x^5-332640*x^4+887040*x^3)*exp(4)^14+(-147840*x^4-2
95680*x^3+887040*x^2)*exp(4)^13+(-110880*x^3-110880*x^2+443520*x)*exp(4)^12+(-44352*x^2+88704)*exp(4)^11+(-739
2*x+7392)*exp(4)^10)*exp(5)^6+((-6336*x^8-38016*x^7+88704*x^6)*exp(4)^16+(-44352*x^7-221760*x^6+532224*x^5)*ex
p(4)^15+(-133056*x^6-532224*x^5+1330560*x^4)*exp(4)^14+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^13+(-221760
*x^4-443520*x^3+1330560*x^2)*exp(4)^12+(-133056*x^3-133056*x^2+532224*x)*exp(4)^11+(-44352*x^2+88704)*exp(4)^1
0+(-6336*x+6336)*exp(4)^9)*exp(5)^5+(-3960*x^9-27720*x^8+63360*x^7)*exp(4)^12+(-6336*x^8-38016*x^7+88704*x^6)*
exp(4)^11+(-7392*x^7-36960*x^6+88704*x^5)*exp(4)^10+(-6336*x^6-25344*x^5+63360*x^4)*exp(4)^9+(-3960*x^5-11880*
x^4+31680*x^3)*exp(4)^8+(-1760*x^4-3520*x^3+10560*x^2)*exp(4)^7+(-528*x^3-528*x^2+2112*x)*exp(4)^6+(-96*x^2+19
2)*exp(4)^5+(-8*x+8)*exp(4)^4+((-1760*x^10-14080*x^9+31680*x^8)*exp(4)^16+(-15840*x^9-110880*x^8+253440*x^7)*e
xp(4)^15+(-63360*x^8-380160*x^7+887040*x^6)*exp(4)^14+(-147840*x^7-739200*x^6+1774080*x^5)*exp(4)^13+(-221760*
x^6-887040*x^5+2217600*x^4)*exp(4)^12+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^11+(-147840*x^4-295680*x^3+8
87040*x^2)*exp(4)^10+(-63360*x^3-63360*x^2+253440*x)*exp(4)^9+(-15840*x^2+31680)*exp(4)^8+(-1760*x+1760)*exp(4
)^7)*exp(5)^3+((-96*x^12-960*x^11+2112*x^10)*exp(4)^16+(-1056*x^11-9504*x^10+21120*x^9)*exp(4)^15+(-5280*x^10-
42240*x^9+95040*x^8)*exp(4)^14+(-15840*x^9-110880*x^8+253440*x^7)*exp(4)^13+(-31680*x^8-190080*x^7+443520*x^6)
*exp(4)^12+(-44352*x^7-221760*x^6+532224*x^5)*exp(4)^11+(-44352*x^6-177408*x^5+443520*x^4)*exp(4)^10+(-31680*x
^5-95040*x^4+253440*x^3)*exp(4)^9+(-15840*x^4-31680*x^3+95040*x^2)*exp(4)^8+(-5280*x^3-5280*x^2+21120*x)*exp(4
)^7+(-1056*x^2+2112)*exp(4)^6+(-96*x+96)*exp(4)^5)*exp(5)+(-8*x^13-88*x^12+192*x^11)*exp(4)^16+(-96*x^12-960*x
^11+2112*x^10)*exp(4)^15+(-528*x^11-4752*x^10+10560*x^9)*exp(4)^14+(-1760*x^10-14080*x^9+31680*x^8)*exp(4)^13+
(-8*x+8)*exp(4)^16*exp(5)^12)*exp(x)+((64*x-64)*exp(4)^16+32*exp(4)^15)*exp(5)^15+((720*x^2-960*x)*exp(4)^16+(
960*x-960)*exp(4)^15+240*exp(4)^14)*exp(5)^14+((112112*x^6-192192*x^5)*exp(4)^16+(576576*x^5-960960*x^4)*exp(4
)^15+(1201200*x^4-1921920*x^3)*exp(4)^14+(1281280*x^3-1921920*x^2)*exp(4)^13+(720720*x^2-960960*x)*exp(4)^12+(
192192*x-192192)*exp(4)^11+16016*exp(4)^10)*exp(5)^10+((183040*x^7-320320*x^6)*exp(4)^16+(1121120*x^6-1921920*
x^5)*exp(4)^15+(2882880*x^5-4804800*x^4)*exp(4)^14+(4004000*x^4-6406400*x^3)*exp(4)^13+(3203200*x^3-4804800*x^
2)*exp(4)^12+(1441440*x^2-1921920*x)*exp(4)^11+(320320*x-320320)*exp(4)^10+22880*exp(4)^9)*exp(5)^9+((228800*x
^9-411840*x^8)*exp(4)^16+(1853280*x^8-3294720*x^7)*exp(4)^15+(6589440*x^7-11531520*x^6)*exp(4)^14+(13453440*x^
6-23063040*x^5)*exp(4)^13+(17297280*x^5-28828800*x^4)*exp(4)^12+(14414400*x^4-23063040*x^3)*exp(4)^11+(7687680
*x^3-11531520*x^2)*exp(4)^10+(2471040*x^2-3294720*x)*exp(4)^9+(411840*x-411840)*exp(4)^8+22880*exp(4)^7)*exp(5
)^7+((176176*x^10-320320*x^9)*exp(4)^16+(1601600*x^9-2882880*x^8)*exp(4)^15+(6486480*x^8-11531520*x^7)*exp(4)^
14+(15375360*x^7-26906880*x^6)*exp(4)^13+(23543520*x^6-40360320*x^5)*exp(4)^12+(24216192*x^5-40360320*x^4)*exp
(4)^11+(16816800*x^4-26906880*x^3)*exp(4)^10+(7687680*x^3-11531520*x^2)*exp(4)^9+(2162160*x^2-2882880*x)*exp(4
)^8+(320320*x-320320)*exp(4)^7+16016*exp(4)^6)*exp(5)^6+((52416*x^5-87360*x^4)*exp(4)^16+(218400*x^4-349440*x^
3)*exp(4)^15+(349440*x^3-524160*x^2)*exp(4)^14+(262080*x^2-349440*x)*exp(4)^13+(87360*x-87360)*exp(4)^12+8736*
exp(4)^11)*exp(5)^11+((104832*x^11-192192*x^10)*exp(4)^16+(1057056*x^10-1921920*x^9)*exp(4)^15+(4804800*x^9-86
48640*x^8)*exp(4)^14+(12972960*x^8-23063040*x^7)*exp(4)^13+(23063040*x^7-40360320*x^6)*exp(4)^12+(28252224*x^6
-48432384*x^5)*exp(4)^11+(24216192*x^5-40360320*x^4)*exp(4)^10+(14414400*x^4-23063040*x^3)*exp(4)^9+(5765760*x
^3-8648640*x^2)*exp(4)^8+(1441440*x^2-1921920*x)*exp(4)^7+(192192*x-192192)*exp(4)^6+8736*exp(4)^5)*exp(5)^5+(
(47320*x^12-87360*x^11)*exp(4)^16+(524160*x^11-960960*x^10)*exp(4)^15+(2642640*x^10-4804800*x^9)*exp(4)^14+(80
08000*x^9-14414400*x^8)*exp(4)^13+(16216200*x^8-28828800*x^7)*exp(4)^12+(23063040*x^7-40360320*x^6)*exp(4)^11+
(23543520*x^6-40360320*x^5)*exp(4)^10+(17297280*x^5-28828800*x^4)*exp(4)^9+(9009000*x^4-14414400*x^3)*exp(4)^8
+(3203200*x^3-4804800*x^2)*exp(4)^7+(720720*x^2-960960*x)*exp(4)^6+(87360*x-87360)*exp(4)^5+3640*exp(4)^4)*exp
(5)^4+((231660*x^8-411840*x^7)*exp(4)^16+(1647360*x^7-2882880*x^6)*exp(4)^15+(5045040*x^6-8648640*x^5)*exp(4)^
14+(8648640*x^5-14414400*x^4)*exp(4)^13+(9009000*x^4-14414400*x^3)*exp(4)^12+(5765760*x^3-8648640*x^2)*exp(4)^
11+(2162160*x^2-2882880*x)*exp(4)^10+(411840*x-411840)*exp(4)^9+25740*exp(4)^8)*exp(5)^8+((15680*x^13-29120*x^
12)*exp(4)^16+(189280*x^12-349440*x^11)*exp(4)^15+(1048320*x^11-1921920*x^10)*exp(4)^14+(3523520*x^10-6406400*
x^9)*exp(4)^13+(8008000*x^9-14414400*x^8)*exp(4)^12+(12972960*x^8-23063040*x^7)*exp(4)^11+(15375360*x^7-269068
80*x^6)*exp(4)^10+(13453440*x^6-23063040*x^5)*exp(4)^9+(8648640*x^5-14414400*x^4)*exp(4)^8+(4004000*x^4-640640
0*x^3)*exp(4)^7+(1281280*x^3-1921920*x^2)*exp(4)^6+(262080*x^2-349440*x)*exp(4)^5+(29120*x-29120)*exp(4)^4+112
0*exp(4)^3)*exp(5)^3+((3600*x^14-6720*x^13)*exp(4)^16+(47040*x^13-87360*x^12)*exp(4)^15+(283920*x^12-524160*x^
11)*exp(4)^14+(1048320*x^11-1921920*x^10)*exp(4)^13+(2642640*x^10-4804800*x^9)*exp(4)^12+(4804800*x^9-8648640*
x^8)*exp(4)^11+(6486480*x^8-11531520*x^7)*exp(4)^10+(6589440*x^7-11531520*x^6)*exp(4)^9+(5045040*x^6-8648640*x
^5)*exp(4)^8+(2882880*x^5-4804800*x^4)*exp(4)^7+(1201200*x^4-1921920*x^3)*exp(4)^6+(349440*x^3-524160*x^2)*exp
(4)^5+(65520*x^2-87360*x)*exp(4)^4+(6720*x-6720)*exp(4)^3+240*exp(4)^2)*exp(5)^2+(512*x^15-960*x^14)*exp(4)^15
+(3600*x^14-6720*x^13)*exp(4)^14+(15680*x^13-29120*x^12)*exp(4)^13+(47320*x^12-87360*x^11)*exp(4)^12+(104832*x
^11-192192*x^10)*exp(4)^11+(176176*x^10-320320*x^9)*exp(4)^10+(228800*x^9-411840*x^8)*exp(4)^9+(231660*x^8-411
840*x^7)*exp(4)^8+(183040*x^7-320320*x^6)*exp(4)^7+(112112*x^6-192192*x^5)*exp(4)^6+(52416*x^5-87360*x^4)*exp(
4)^5+(18200*x^4-29120*x^3)*exp(4)^4+(4480*x^3-6720*x^2)*exp(4)^3+(720*x^2-960*x)*exp(4)^2+(64*x-64)*exp(4)+((5
12*x^15-960*x^14)*exp(4)^16+(7200*x^14-13440*x^13)*exp(4)^15+(47040*x^13-87360*x^12)*exp(4)^14+(189280*x^12-34
9440*x^11)*exp(4)^13+(524160*x^11-960960*x^10)*exp(4)^12+(1057056*x^10-1921920*x^9)*exp(4)^11+(1601600*x^9-288
2880*x^8)*exp(4)^10+(1853280*x^8-3294720*x^7)*exp(4)^9+(1647360*x^7-2882880*x^6)*exp(4)^8+(1121120*x^6-1921920
*x^5)*exp(4)^7+(576576*x^5-960960*x^4)*exp(4)^6+(218400*x^4-349440*x^3)*exp(4)^5+(58240*x^3-87360*x^2)*exp(4)^
4+(10080*x^2-13440*x)*exp(4)^3+(960*x-960)*exp(4)^2+32*exp(4))*exp(5)+(34*x^16-64*x^15)*exp(4)^16+(8*x-14)*exp
(4)^16*exp(x)^4)/exp(4)^16,x,method=_RETURNVERBOSE)
[Out]
25740*x*exp(8)+480*exp(1)*x^15-960*exp(1)*x^14+2*x^17-4*x^16-5765760*x^7+2882880*x^8-960960*x^2*exp(25)+480480
*x^3*exp(25)-1441440*x^2*exp(16)-8072064*x^5*exp(1)+16016*x*exp(26)-3603600*x^8*exp(4)+1801800*x^9*exp(4)+7207
20*x^3*exp(-2)-1441440*x^2*exp(-2)-480*exp(-56)*x^2+32*exp(-60)*x^2-17472*exp(55)*x^5-32032*exp(50)*x^6-87360*
exp(51)*x^4-45760*exp(45)*x^7-192192*exp(46)*x^5-174720*exp(47)*x^3-87360*exp(-24)*x-64*exp(-60)*x-960960*exp(
37)*x^5-640640*exp(38)*x^3-87360*exp(39)*x-32032*exp(30)*x^10-411840*exp(31)*x^8-1441440*exp(32)*x^6-1601600*e
xp(33)*x^4-480480*exp(34)*x^2-17472*exp(25)*x^11-320320*exp(26)*x^9-1647360*exp(27)*x^7-6726720*exp(14)*x^6-64
*exp(5)*x^15-5765760*exp(15)*x^4-6720*exp(6)*x^13-51480*exp(40)*x^8-320320*exp(41)*x^6-480480*exp(42)*x^4-1747
20*exp(43)*x^2-45760*exp(35)*x^9-411840*exp(36)*x^7-960960*exp(17)*x^9-3843840*exp(18)*x^7-5765760*exp(19)*x^5
-480*exp(10)*x^14-2882880*exp(20)*x^3-29120*exp(11)*x^12-480480*exp(12)*x^10-2882880*exp(13)*x^8-7280*exp(20)*
x^12-192192*exp(30)*x-192192*exp(21)*x^10-1441440*exp(22)*x^8-3843840*exp(23)*x^6-3603600*exp(24)*x^4-2240*exp
(15)*x^13-87360*exp(16)*x^11+4036032*x^7*exp(5)-3843840*x^3*exp(2)+1921920*x^4*exp(2)-411840*x*exp(3)+205920*x
^2*exp(3)-320320*x*exp(21)-1647360*x^2*exp(7)-8072064*x^6*exp(5)+823680*exp(7)*x^3+22880*exp(-1)*x-6726720*x^4
*exp(6)+4036032*x^6*exp(1)+720720*x^3*exp(16)+(-96*x^2*exp(20)+16*exp(16)+192*exp(25)-96*x*exp(25)-44352*exp(7
4)*x^2+443520*exp(73)*x^3-1056*exp(65)*x^11+16*exp(64)*x^12+88704*exp(74)*x-23760*exp(66)*x^9+2112*exp(65)*x^1
0-147840*exp(67)*x^7+47520*exp(66)*x^8-277200*exp(68)*x^5+295680*exp(67)*x^6-133056*exp(69)*x^3+554400*exp(68)
*x^4-96*exp(60)*x^12-7392*exp(70)*x+266112*exp(69)*x^2-5280*exp(61)*x^10+192*exp(60)*x^11-63360*exp(62)*x^8+10
560*exp(61)*x^9-221760*exp(63)*x^6+126720*exp(62)*x^7-221760*exp(64)*x^4+443520*exp(63)*x^5-44352*exp(65)*x^2+
443520*exp(64)*x^3-528*exp(56)*x^11+88704*exp(65)*x-15840*exp(57)*x^9+1056*exp(56)*x^10-110880*exp(58)*x^7+316
80*exp(57)*x^8-221760*exp(59)*x^5+221760*exp(58)*x^6-110880*exp(60)*x^3+443520*exp(59)*x^4-6336*exp(61)*x+2217
60*exp(60)*x^2-1760*exp(52)*x^10-31680*exp(53)*x^8+3520*exp(52)*x^9-133056*exp(54)*x^6+63360*exp(53)*x^7-14784
0*exp(55)*x^4+266112*exp(54)*x^5-31680*exp(56)*x^2+295680*exp(55)*x^3+63360*exp(56)*x-3960*exp(48)*x^9-44352*e
xp(49)*x^7+7920*exp(48)*x^8-110880*exp(50)*x^5+88704*exp(49)*x^6-63360*exp(51)*x^3+221760*exp(50)*x^4-3960*exp
(52)*x+126720*exp(51)*x^2-6336*exp(44)*x^8-44352*exp(45)*x^6+12672*exp(44)*x^7-63360*exp(46)*x^4+88704*exp(45)
*x^5-15840*exp(47)*x^2+126720*exp(46)*x^3+31680*exp(47)*x-7392*exp(40)*x^7-31680*exp(41)*x^5+14784*exp(40)*x^6
-23760*exp(42)*x^3+63360*exp(41)*x^4-1760*exp(43)*x+47520*exp(42)*x^2-6336*exp(36)*x^6-15840*exp(37)*x^4+12672
*exp(36)*x^5-5280*exp(38)*x^2+31680*exp(37)*x^3+10560*exp(38)*x-3960*exp(32)*x^5-5280*exp(33)*x^3+7920*exp(32)
*x^4-528*exp(34)*x+10560*exp(33)*x^2-1760*exp(28)*x^4-1056*exp(29)*x^2+3520*exp(28)*x^3+2112*exp(29)*x-528*exp
(24)*x^3+1056*exp(24)*x^2-528*exp(106)*x+10560*exp(105)*x^2-6336*exp(99)*x^6-15840*exp(100)*x^4-1056*exp(110)*
x^2+3520*exp(109)*x^3+2112*exp(110)*x-3960*exp(104)*x^5-5280*exp(105)*x^3+7920*exp(104)*x^4-528*exp(114)*x^3-9
6*exp(115)*x+1056*exp(114)*x^2-1760*exp(109)*x^4-8*exp(124)*x-96*exp(119)*x^2+192*exp(119)*x-8*x*exp(16)+192*x
*exp(20)+12672*exp(99)*x^5-5280*exp(101)*x^2+31680*exp(100)*x^3+10560*exp(101)*x-7392*exp(94)*x^7-31680*exp(95
)*x^5+88704*exp(85)*x^6-63360*exp(87)*x^3+221760*exp(86)*x^4-3960*exp(88)*x+126720*exp(87)*x^2-1760*exp(79)*x^
10-31680*exp(80)*x^8+3520*exp(79)*x^9-133056*exp(81)*x^6+63360*exp(80)*x^7-147840*exp(82)*x^4+266112*exp(81)*x
^5-31680*exp(83)*x^2+295680*exp(82)*x^3-528*exp(74)*x^11+63360*exp(83)*x-15840*exp(75)*x^9+1056*exp(74)*x^10-1
10880*exp(76)*x^7+31680*exp(75)*x^8-221760*exp(77)*x^5+221760*exp(76)*x^6-110880*exp(78)*x^3+443520*exp(77)*x^
4-96*exp(69)*x^12-6336*exp(79)*x+221760*exp(78)*x^2-5280*exp(70)*x^10+192*exp(69)*x^11-63360*exp(71)*x^8+10560
*exp(70)*x^9-221760*exp(72)*x^6+126720*exp(71)*x^7-221760*exp(73)*x^4+443520*exp(72)*x^5-8*exp(64)*x^13+14784*
exp(94)*x^6-23760*exp(96)*x^3+63360*exp(95)*x^4-1760*exp(97)*x+47520*exp(96)*x^2-6336*exp(89)*x^8-44352*exp(90
)*x^6+12672*exp(89)*x^7-63360*exp(91)*x^4+88704*exp(90)*x^5-15840*exp(92)*x^2+126720*exp(91)*x^3+31680*exp(92)
*x-3960*exp(84)*x^9-44352*exp(85)*x^7+7920*exp(84)*x^8-110880*exp(86)*x^5+14784*exp(70)+12672*exp(61)+1056*exp
(34)+16*exp(124)+192*exp(115)+1056*exp(106)+3520*exp(97)+7920*exp(88)+12672*exp(79)+7920*exp(52)+3520*exp(43))
*exp(-64+x)-64*exp(-4)*x^15-6720*exp(-3)*x^13-174720*exp(-2)*x^11-1601600*exp(-1)*x^9-480*exp(-8)*x^14-2882880
*exp(28)*x^5-1601600*exp(29)*x^3-1601600*exp(8)*x^9-5765760*exp(9)*x^7-8072064*exp(10)*x^5-3843840*exp(11)*x^3
-43680*exp(2)*x^12-411840*exp(12)*x-640640*exp(3)*x^10-2882880*exp(-7)*x^3-7280*exp(-16)*x^12-320320*exp(-6)*x
-192192*exp(-15)*x^10-1441440*exp(-14)*x^8-3843840*exp(-13)*x^6-3603600*exp(-12)*x^4-960960*exp(-11)*x^2-17472
0*exp(7)*x^11-29120*exp(-7)*x^12-480480*exp(-6)*x^10-2882880*exp(-5)*x^8-6726720*exp(-4)*x^6-5765760*exp(-3)*x
^4-2240*exp(-12)*x^13-87360*exp(-11)*x^11-960960*exp(-10)*x^9-3843840*exp(-9)*x^7-5765760*exp(-8)*x^5-960960*e
xp(-26)*x^5-640640*exp(-25)*x^3-51480*exp(-32)*x^8-320320*exp(-31)*x^6-480480*exp(-30)*x^4-174720*exp(-29)*x^2
-45760*exp(-36)*x^7-192192*exp(-35)*x^5-174720*exp(-34)*x^3-1601600*exp(-16)*x^3-192192*exp(-15)*x-32032*exp(-
24)*x^10-411840*exp(-23)*x^8-1441440*exp(-22)*x^6-1601600*exp(-21)*x^4-480480*exp(-20)*x^2-45760*exp(-28)*x^9-
411840*exp(-27)*x^7-6720*exp(-42)*x-7280*exp(-48)*x^4-6720*exp(-47)*x^2-2240*exp(-52)*x^3-960*exp(-51)*x-17472
*exp(-20)*x^11-320320*exp(-19)*x^9-1647360*exp(-18)*x^7-2882880*exp(-17)*x^5+32*exp(75)*x^2+240*exp(70)*x^3+32
*exp(71)*x-29120*exp(-33)*x-32032*exp(-40)*x^6-87360*exp(-39)*x^4-43680*exp(-38)*x^2-17472*exp(-44)*x^5-29120*
exp(-43)*x^3+3360*exp(61)*x^3+240*exp(62)*x+8736*exp(55)*x^6+14560*exp(56)*x^4+2*exp(80)*x+87360*exp(47)*x^4+3
360*exp(57)*x^2+16016*exp(50)*x^7+43680*exp(51)*x^5+1120*exp(65)*x^4+480*exp(66)*x^2+3640*exp(60)*x^5+240240*e
xp(42)*x^5+87360*exp(43)*x^3+21840*exp(52)*x^3+1120*exp(53)*x+22880*exp(45)*x^8+96096*exp(46)*x^6+(-24*exp(32)
+12*exp(104)*x+96*exp(99)*x^2-192*exp(99)*x+336*exp(94)*x^3+96*exp(95)*x-672*exp(94)*x^2+672*exp(89)*x^4+672*e
xp(90)*x^2-1344*exp(89)*x^3-1344*exp(90)*x+840*exp(84)*x^5+2016*exp(85)*x^3-1680*exp(84)*x^4+336*exp(86)*x-403
2*exp(85)*x^2+672*exp(79)*x^6+3360*exp(80)*x^4-1344*exp(79)*x^5+2016*exp(81)*x^2-6720*exp(80)*x^3-4032*exp(81)
*x+336*exp(74)*x^7+3360*exp(75)*x^5-672*exp(74)*x^6+5040*exp(76)*x^3-6720*exp(75)*x^4+672*exp(77)*x-10080*exp(
76)*x^2+96*exp(69)*x^8+2016*exp(70)*x^6-192*exp(69)*x^7+6720*exp(71)*x^4-4032*exp(70)*x^5+3360*exp(72)*x^2-134
40*exp(71)*x^3-6720*exp(72)*x+12*exp(64)*x^9+672*exp(65)*x^7-24*exp(64)*x^8+5040*exp(66)*x^5-1344*exp(65)*x^6+
6720*exp(67)*x^3-10080*exp(66)*x^4+840*exp(68)*x-13440*exp(67)*x^2+96*exp(60)*x^8+2016*exp(61)*x^6-192*exp(60)
*x^7+6720*exp(62)*x^4-4032*exp(61)*x^5+3360*exp(63)*x^2-13440*exp(62)*x^3-6720*exp(63)*x+336*exp(56)*x^7+3360*
exp(57)*x^5-672*exp(56)*x^6+5040*exp(58)*x^3-6720*exp(57)*x^4+672*exp(59)*x-10080*exp(58)*x^2+672*exp(52)*x^6+
3360*exp(53)*x^4-1344*exp(52)*x^5+2016*exp(54)*x^2-6720*exp(53)*x^3-4032*exp(54)*x+840*exp(48)*x^5+2016*exp(49
)*x^3-1680*exp(48)*x^4+336*exp(50)*x-4032*exp(49)*x^2+672*exp(44)*x^4+672*exp(45)*x^2-1344*exp(44)*x^3-1344*ex
p(45)*x+336*exp(40)*x^3+96*exp(41)*x-672*exp(40)*x^2+96*exp(36)*x^2-192*exp(36)*x+12*exp(32)*x-1344*exp(59)-67
2*exp(50)-1680*exp(68)-24*exp(104)-192*exp(95)-192*exp(41)-672*exp(86)-1344*exp(77))*exp(-64+2*x)+720720*exp(3
2)*x^7+3640*exp(44)*x+22880*exp(35)*x^10+205920*exp(36)*x^8+480480*exp(37)*x^6+14560*exp(48)*x^2+25740*exp(40)
*x^9+160160*exp(41)*x^7+800800*exp(29)*x^4+3640*exp(20)*x^13+800800*exp(33)*x^5+240240*exp(34)*x^3+8736*exp(25
)*x^12+160160*exp(26)*x^10+320320*exp(38)*x^4+43680*exp(39)*x^2+16016*exp(30)*x^11+205920*exp(31)*x^9+480480*e
xp(17)*x^10+1921920*exp(18)*x^8+96096*exp(21)*x^11+720720*exp(22)*x^9+1921920*exp(23)*x^7+1801800*exp(24)*x^5+
823680*exp(27)*x^8+1441440*exp(28)*x^6+32*exp(5)*x^16+3360*exp(6)*x^14+14560*exp(11)*x^13+240240*exp(12)*x^11+
1441440*exp(13)*x^9+2882880*exp(19)*x^6+240*exp(10)*x^15+1120*exp(15)*x^14+43680*exp(16)*x^12+21840*exp(2)*x^1
3+87360*exp(7)*x^12+800800*exp(8)*x^10+2882880*exp(9)*x^8+3363360*exp(14)*x^7+1120*exp(-12)*x^14+240*exp(-8)*x
^15+14560*exp(-7)*x^13+87360*exp(-2)*x^12+800800*exp(-1)*x^10+32*exp(-4)*x^16+3360*exp(-3)*x^14+320320*exp(3)*
x^11+1921920*exp(-9)*x^8+3640*exp(-16)*x^13+43680*exp(-11)*x^12+480480*exp(-10)*x^10+240240*exp(-6)*x^11+14414
40*exp(-5)*x^9+1441440*exp(-17)*x^6+8736*exp(-20)*x^12+96096*exp(-15)*x^11+720720*exp(-14)*x^9+1921920*exp(-13
)*x^7+205920*exp(-23)*x^9+720720*exp(-22)*x^7+800800*exp(-21)*x^5+160160*exp(-19)*x^10+823680*exp(-18)*x^8+205
920*exp(-27)*x^8+480480*exp(-26)*x^6+320320*exp(-25)*x^4+16016*exp(-24)*x^11+160160*exp(-31)*x^7+240240*exp(-3
0)*x^5+87360*exp(-29)*x^3+22880*exp(-28)*x^10+(96*exp(74)*x^2+64*exp(69)*x^3+192*exp(70)*x+16*exp(64)*x^4+192*
exp(65)*x^2+64*exp(60)*x^3+192*exp(61)*x+96*exp(56)*x^2+64*exp(52)*x+16*exp(48)+64*exp(75)+64*exp(79)*x-8*exp(
84)*x-32*exp(79)*x^2-48*exp(74)*x^3-32*exp(69)*x^4-8*exp(64)*x^5-8*exp(48)*x-96*exp(61)*x^2-48*exp(56)*x^3-32*
exp(57)*x-32*exp(52)*x^2-96*exp(70)*x^2-96*exp(65)*x^3-48*exp(66)*x-32*exp(60)*x^4-32*exp(75)*x+96*exp(66)+64*
exp(57)+16*exp(84))*exp(-64+3*x)+(2*exp(64)*x-4*exp(64))*exp(4*x-64)+96096*exp(-35)*x^6+87360*exp(-34)*x^4+145
60*exp(-33)*x^2+25740*exp(-32)*x^9+8736*exp(-44)*x^6+14560*exp(-43)*x^4+22880*exp(-36)*x^8+16016*exp(-40)*x^7+
43680*exp(-39)*x^5+21840*exp(-38)*x^3+1120*exp(-37)*x+3360*exp(-42)*x^2+3640*exp(-48)*x^5+3360*exp(-47)*x^3+24
0*exp(-46)*x+480*exp(-51)*x^2+240*exp(-56)*x^3+32*exp(-55)*x+8736*exp(-19)*x+43680*exp(-24)*x^2+3640*exp(-28)*
x+1120*exp(-52)*x^4+16016*exp(-10)*x+800800*exp(-16)*x^4+96096*exp(-15)*x^2+240240*exp(-20)*x^3+1441440*exp(-7
)*x^4+160160*exp(-6)*x^2+1801800*exp(-12)*x^5+480480*exp(-11)*x^3+1921920*exp(11)*x^4+205920*exp(12)*x^2+33633
60*exp(6)*x^5+3363360*exp(-4)*x^7+2882880*exp(-3)*x^5+2882880*exp(-8)*x^6+1441440*exp(20)*x^4+160160*exp(21)*x
^2+2882880*exp(15)*x^5+22880*exp(17)*x+4036032*exp(10)*x^6-29120*exp(48)*x+2*exp(-64)*x+8736*exp(35)*x+96096*e
xp(30)*x^2-6720*exp(61)*x^2-29120*exp(56)*x^3-6720*exp(57)*x-43680*exp(52)*x^2-480*exp(70)*x^2-2240*exp(65)*x^
3-960*exp(66)*x-7280*exp(60)*x^4-64*exp(75)*x
________________________________________________________________________________________
maxima [B] time = 0.66, size = 3215, normalized size = 133.96 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((2+2*exp(4)^16*exp(5)^16+((-24*x+40)*exp(4)^16*exp(5)^4+((-96*x^2+128*x+64)*exp(4)^16+(-96*x+160)*ex
p(4)^15)*exp(5)^3+((-144*x^3+144*x^2+192*x)*exp(4)^16+(-288*x^2+384*x+192)*exp(4)^15+(-144*x+240)*exp(4)^14)*e
xp(5)^2+((-96*x^4+64*x^3+192*x^2)*exp(4)^16+(-288*x^3+288*x^2+384*x)*exp(4)^15+(-288*x^2+384*x+192)*exp(4)^14+
(-96*x+160)*exp(4)^13)*exp(5)+(-24*x^5+8*x^4+64*x^3)*exp(4)^16+(-96*x^4+64*x^3+192*x^2)*exp(4)^15+(-144*x^3+14
4*x^2+192*x)*exp(4)^14+(-96*x^2+128*x+64)*exp(4)^13+(-24*x+40)*exp(4)^12)*exp(x)^3+((24*x-36)*exp(4)^16*exp(5)
^8+((192*x^2-192*x-192)*exp(4)^16+(192*x-288)*exp(4)^15)*exp(5)^7+((672*x^3-336*x^2-1344*x)*exp(4)^16+(1344*x^
2-1344*x-1344)*exp(4)^15+(672*x-1008)*exp(4)^14)*exp(5)^6+((1344*x^4-4032*x^2)*exp(4)^16+(4032*x^3-2016*x^2-80
64*x)*exp(4)^15+(4032*x^2-4032*x-4032)*exp(4)^14+(1344*x-2016)*exp(4)^13)*exp(5)^5+((1680*x^5+840*x^4-6720*x^3
)*exp(4)^16+(6720*x^4-20160*x^2)*exp(4)^15+(10080*x^3-5040*x^2-20160*x)*exp(4)^14+(6720*x^2-6720*x-6720)*exp(4
)^13+(1680*x-2520)*exp(4)^12)*exp(5)^4+((1344*x^6+1344*x^5-6720*x^4)*exp(4)^16+(6720*x^5+3360*x^4-26880*x^3)*e
xp(4)^15+(13440*x^4-40320*x^2)*exp(4)^14+(13440*x^3-6720*x^2-26880*x)*exp(4)^13+(6720*x^2-6720*x-6720)*exp(4)^
12+(1344*x-2016)*exp(4)^11)*exp(5)^3+((672*x^7+1008*x^6-4032*x^5)*exp(4)^16+(4032*x^6+4032*x^5-20160*x^4)*exp(
4)^15+(10080*x^5+5040*x^4-40320*x^3)*exp(4)^14+(13440*x^4-40320*x^2)*exp(4)^13+(10080*x^3-5040*x^2-20160*x)*ex
p(4)^12+(4032*x^2-4032*x-4032)*exp(4)^11+(672*x-1008)*exp(4)^10)*exp(5)^2+((192*x^8+384*x^7-1344*x^6)*exp(4)^1
6+(1344*x^7+2016*x^6-8064*x^5)*exp(4)^15+(4032*x^6+4032*x^5-20160*x^4)*exp(4)^14+(6720*x^5+3360*x^4-26880*x^3)
*exp(4)^13+(6720*x^4-20160*x^2)*exp(4)^12+(4032*x^3-2016*x^2-8064*x)*exp(4)^11+(1344*x^2-1344*x-1344)*exp(4)^1
0+(192*x-288)*exp(4)^9)*exp(5)+(24*x^9+60*x^8-192*x^7)*exp(4)^16+(192*x^8+384*x^7-1344*x^6)*exp(4)^15+(672*x^7
+1008*x^6-4032*x^5)*exp(4)^14+(1344*x^6+1344*x^5-6720*x^4)*exp(4)^13+(1680*x^5+840*x^4-6720*x^3)*exp(4)^12+(13
44*x^4-4032*x^2)*exp(4)^11+(672*x^3-336*x^2-1344*x)*exp(4)^10+(192*x^2-192*x-192)*exp(4)^9+(24*x-36)*exp(4)^8)
*exp(x)^2+(((-1760*x^4-3520*x^3+10560*x^2)*exp(4)^16+(-5280*x^3-5280*x^2+21120*x)*exp(4)^15+(-5280*x^2+10560)*
exp(4)^14+(-1760*x+1760)*exp(4)^13)*exp(5)^9+((-3960*x^5-11880*x^4+31680*x^3)*exp(4)^16+(-15840*x^4-31680*x^3+
95040*x^2)*exp(4)^15+(-23760*x^3-23760*x^2+95040*x)*exp(4)^14+(-15840*x^2+31680)*exp(4)^13+(-3960*x+3960)*exp(
4)^12)*exp(5)^8+((-6336*x^6-25344*x^5+63360*x^4)*exp(4)^16+(-31680*x^5-95040*x^4+253440*x^3)*exp(4)^15+(-63360
*x^4-126720*x^3+380160*x^2)*exp(4)^14+(-63360*x^3-63360*x^2+253440*x)*exp(4)^13+(-31680*x^2+63360)*exp(4)^12+(
-6336*x+6336)*exp(4)^11)*exp(5)^7+((-7392*x^7-36960*x^6+88704*x^5)*exp(4)^16+(-44352*x^6-177408*x^5+443520*x^4
)*exp(4)^15+(-110880*x^5-332640*x^4+887040*x^3)*exp(4)^14+(-147840*x^4-295680*x^3+887040*x^2)*exp(4)^13+(-1108
80*x^3-110880*x^2+443520*x)*exp(4)^12+(-44352*x^2+88704)*exp(4)^11+(-7392*x+7392)*exp(4)^10)*exp(5)^6+((-6336*
x^8-38016*x^7+88704*x^6)*exp(4)^16+(-44352*x^7-221760*x^6+532224*x^5)*exp(4)^15+(-133056*x^6-532224*x^5+133056
0*x^4)*exp(4)^14+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^13+(-221760*x^4-443520*x^3+1330560*x^2)*exp(4)^12
+(-133056*x^3-133056*x^2+532224*x)*exp(4)^11+(-44352*x^2+88704)*exp(4)^10+(-6336*x+6336)*exp(4)^9)*exp(5)^5+((
-3960*x^9-27720*x^8+63360*x^7)*exp(4)^16+(-31680*x^8-190080*x^7+443520*x^6)*exp(4)^15+(-110880*x^7-554400*x^6+
1330560*x^5)*exp(4)^14+(-221760*x^6-887040*x^5+2217600*x^4)*exp(4)^13+(-277200*x^5-831600*x^4+2217600*x^3)*exp
(4)^12+(-221760*x^4-443520*x^3+1330560*x^2)*exp(4)^11+(-110880*x^3-110880*x^2+443520*x)*exp(4)^10+(-31680*x^2+
63360)*exp(4)^9+(-3960*x+3960)*exp(4)^8)*exp(5)^4+((-96*x^2+192)*exp(4)^16+(-96*x+96)*exp(4)^15)*exp(5)^11+((-
528*x^3-528*x^2+2112*x)*exp(4)^16+(-1056*x^2+2112)*exp(4)^15+(-528*x+528)*exp(4)^14)*exp(5)^10+(-8*x+8)*exp(4)
^16*exp(5)^12+(-8*x+8)*exp(4)^4+((-1760*x^10-14080*x^9+31680*x^8)*exp(4)^16+(-15840*x^9-110880*x^8+253440*x^7)
*exp(4)^15+(-63360*x^8-380160*x^7+887040*x^6)*exp(4)^14+(-147840*x^7-739200*x^6+1774080*x^5)*exp(4)^13+(-22176
0*x^6-887040*x^5+2217600*x^4)*exp(4)^12+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^11+(-147840*x^4-295680*x^3
+887040*x^2)*exp(4)^10+(-63360*x^3-63360*x^2+253440*x)*exp(4)^9+(-15840*x^2+31680)*exp(4)^8+(-1760*x+1760)*exp
(4)^7)*exp(5)^3+((-528*x^11-4752*x^10+10560*x^9)*exp(4)^16+(-5280*x^10-42240*x^9+95040*x^8)*exp(4)^15+(-23760*
x^9-166320*x^8+380160*x^7)*exp(4)^14+(-63360*x^8-380160*x^7+887040*x^6)*exp(4)^13+(-110880*x^7-554400*x^6+1330
560*x^5)*exp(4)^12+(-133056*x^6-532224*x^5+1330560*x^4)*exp(4)^11+(-110880*x^5-332640*x^4+887040*x^3)*exp(4)^1
0+(-63360*x^4-126720*x^3+380160*x^2)*exp(4)^9+(-23760*x^3-23760*x^2+95040*x)*exp(4)^8+(-5280*x^2+10560)*exp(4)
^7+(-528*x+528)*exp(4)^6)*exp(5)^2+((-96*x^12-960*x^11+2112*x^10)*exp(4)^16+(-1056*x^11-9504*x^10+21120*x^9)*e
xp(4)^15+(-5280*x^10-42240*x^9+95040*x^8)*exp(4)^14+(-15840*x^9-110880*x^8+253440*x^7)*exp(4)^13+(-31680*x^8-1
90080*x^7+443520*x^6)*exp(4)^12+(-44352*x^7-221760*x^6+532224*x^5)*exp(4)^11+(-44352*x^6-177408*x^5+443520*x^4
)*exp(4)^10+(-31680*x^5-95040*x^4+253440*x^3)*exp(4)^9+(-15840*x^4-31680*x^3+95040*x^2)*exp(4)^8+(-5280*x^3-52
80*x^2+21120*x)*exp(4)^7+(-1056*x^2+2112)*exp(4)^6+(-96*x+96)*exp(4)^5)*exp(5)+(-8*x^13-88*x^12+192*x^11)*exp(
4)^16+(-96*x^12-960*x^11+2112*x^10)*exp(4)^15+(-528*x^11-4752*x^10+10560*x^9)*exp(4)^14+(-1760*x^10-14080*x^9+
31680*x^8)*exp(4)^13+(-3960*x^9-27720*x^8+63360*x^7)*exp(4)^12+(-6336*x^8-38016*x^7+88704*x^6)*exp(4)^11+(-739
2*x^7-36960*x^6+88704*x^5)*exp(4)^10+(-6336*x^6-25344*x^5+63360*x^4)*exp(4)^9+(-3960*x^5-11880*x^4+31680*x^3)*
exp(4)^8+(-1760*x^4-3520*x^3+10560*x^2)*exp(4)^7+(-528*x^3-528*x^2+2112*x)*exp(4)^6+(-96*x^2+192)*exp(4)^5)*ex
p(x)+((64*x-64)*exp(4)^16+32*exp(4)^15)*exp(5)^15+((720*x^2-960*x)*exp(4)^16+(960*x-960)*exp(4)^15+240*exp(4)^
14)*exp(5)^14+((4480*x^3-6720*x^2)*exp(4)^16+(10080*x^2-13440*x)*exp(4)^15+(6720*x-6720)*exp(4)^14+1120*exp(4)
^13)*exp(5)^13+((18200*x^4-29120*x^3)*exp(4)^16+(58240*x^3-87360*x^2)*exp(4)^15+(65520*x^2-87360*x)*exp(4)^14+
(29120*x-29120)*exp(4)^13+3640*exp(4)^12)*exp(5)^12+(8*x-14)*exp(4)^16*exp(x)^4+((183040*x^7-320320*x^6)*exp(4
)^16+(1121120*x^6-1921920*x^5)*exp(4)^15+(2882880*x^5-4804800*x^4)*exp(4)^14+(4004000*x^4-6406400*x^3)*exp(4)^
13+(3203200*x^3-4804800*x^2)*exp(4)^12+(1441440*x^2-1921920*x)*exp(4)^11+(320320*x-320320)*exp(4)^10+22880*exp
(4)^9)*exp(5)^9+((176176*x^10-320320*x^9)*exp(4)^16+(1601600*x^9-2882880*x^8)*exp(4)^15+(6486480*x^8-11531520*
x^7)*exp(4)^14+(15375360*x^7-26906880*x^6)*exp(4)^13+(23543520*x^6-40360320*x^5)*exp(4)^12+(24216192*x^5-40360
320*x^4)*exp(4)^11+(16816800*x^4-26906880*x^3)*exp(4)^10+(7687680*x^3-11531520*x^2)*exp(4)^9+(2162160*x^2-2882
880*x)*exp(4)^8+(320320*x-320320)*exp(4)^7+16016*exp(4)^6)*exp(5)^6+((52416*x^5-87360*x^4)*exp(4)^16+(218400*x
^4-349440*x^3)*exp(4)^15+(349440*x^3-524160*x^2)*exp(4)^14+(262080*x^2-349440*x)*exp(4)^13+(87360*x-87360)*exp
(4)^12+8736*exp(4)^11)*exp(5)^11+((112112*x^6-192192*x^5)*exp(4)^16+(576576*x^5-960960*x^4)*exp(4)^15+(1201200
*x^4-1921920*x^3)*exp(4)^14+(1281280*x^3-1921920*x^2)*exp(4)^13+(720720*x^2-960960*x)*exp(4)^12+(192192*x-1921
92)*exp(4)^11+16016*exp(4)^10)*exp(5)^10+((47320*x^12-87360*x^11)*exp(4)^16+(524160*x^11-960960*x^10)*exp(4)^1
5+(2642640*x^10-4804800*x^9)*exp(4)^14+(8008000*x^9-14414400*x^8)*exp(4)^13+(16216200*x^8-28828800*x^7)*exp(4)
^12+(23063040*x^7-40360320*x^6)*exp(4)^11+(23543520*x^6-40360320*x^5)*exp(4)^10+(17297280*x^5-28828800*x^4)*ex
p(4)^9+(9009000*x^4-14414400*x^3)*exp(4)^8+(3203200*x^3-4804800*x^2)*exp(4)^7+(720720*x^2-960960*x)*exp(4)^6+(
87360*x-87360)*exp(4)^5+3640*exp(4)^4)*exp(5)^4+((231660*x^8-411840*x^7)*exp(4)^16+(1647360*x^7-2882880*x^6)*e
xp(4)^15+(5045040*x^6-8648640*x^5)*exp(4)^14+(8648640*x^5-14414400*x^4)*exp(4)^13+(9009000*x^4-14414400*x^3)*e
xp(4)^12+(5765760*x^3-8648640*x^2)*exp(4)^11+(2162160*x^2-2882880*x)*exp(4)^10+(411840*x-411840)*exp(4)^9+2574
0*exp(4)^8)*exp(5)^8+((228800*x^9-411840*x^8)*exp(4)^16+(1853280*x^8-3294720*x^7)*exp(4)^15+(6589440*x^7-11531
520*x^6)*exp(4)^14+(13453440*x^6-23063040*x^5)*exp(4)^13+(17297280*x^5-28828800*x^4)*exp(4)^12+(14414400*x^4-2
3063040*x^3)*exp(4)^11+(7687680*x^3-11531520*x^2)*exp(4)^10+(2471040*x^2-3294720*x)*exp(4)^9+(411840*x-411840)
*exp(4)^8+22880*exp(4)^7)*exp(5)^7+((3600*x^14-6720*x^13)*exp(4)^16+(47040*x^13-87360*x^12)*exp(4)^15+(283920*
x^12-524160*x^11)*exp(4)^14+(1048320*x^11-1921920*x^10)*exp(4)^13+(2642640*x^10-4804800*x^9)*exp(4)^12+(480480
0*x^9-8648640*x^8)*exp(4)^11+(6486480*x^8-11531520*x^7)*exp(4)^10+(6589440*x^7-11531520*x^6)*exp(4)^9+(5045040
*x^6-8648640*x^5)*exp(4)^8+(2882880*x^5-4804800*x^4)*exp(4)^7+(1201200*x^4-1921920*x^3)*exp(4)^6+(349440*x^3-5
24160*x^2)*exp(4)^5+(65520*x^2-87360*x)*exp(4)^4+(6720*x-6720)*exp(4)^3+240*exp(4)^2)*exp(5)^2+((104832*x^11-1
92192*x^10)*exp(4)^16+(1057056*x^10-1921920*x^9)*exp(4)^15+(4804800*x^9-8648640*x^8)*exp(4)^14+(12972960*x^8-2
3063040*x^7)*exp(4)^13+(23063040*x^7-40360320*x^6)*exp(4)^12+(28252224*x^6-48432384*x^5)*exp(4)^11+(24216192*x
^5-40360320*x^4)*exp(4)^10+(14414400*x^4-23063040*x^3)*exp(4)^9+(5765760*x^3-8648640*x^2)*exp(4)^8+(1441440*x^
2-1921920*x)*exp(4)^7+(192192*x-192192)*exp(4)^6+8736*exp(4)^5)*exp(5)^5+(231660*x^8-411840*x^7)*exp(4)^8+(183
040*x^7-320320*x^6)*exp(4)^7+(112112*x^6-192192*x^5)*exp(4)^6+(52416*x^5-87360*x^4)*exp(4)^5+(18200*x^4-29120*
x^3)*exp(4)^4+(4480*x^3-6720*x^2)*exp(4)^3+(720*x^2-960*x)*exp(4)^2+((15680*x^13-29120*x^12)*exp(4)^16+(189280
*x^12-349440*x^11)*exp(4)^15+(1048320*x^11-1921920*x^10)*exp(4)^14+(3523520*x^10-6406400*x^9)*exp(4)^13+(80080
00*x^9-14414400*x^8)*exp(4)^12+(12972960*x^8-23063040*x^7)*exp(4)^11+(15375360*x^7-26906880*x^6)*exp(4)^10+(13
453440*x^6-23063040*x^5)*exp(4)^9+(8648640*x^5-14414400*x^4)*exp(4)^8+(4004000*x^4-6406400*x^3)*exp(4)^7+(1281
280*x^3-1921920*x^2)*exp(4)^6+(262080*x^2-349440*x)*exp(4)^5+(29120*x-29120)*exp(4)^4+1120*exp(4)^3)*exp(5)^3+
(64*x-64)*exp(4)+((512*x^15-960*x^14)*exp(4)^16+(7200*x^14-13440*x^13)*exp(4)^15+(47040*x^13-87360*x^12)*exp(4
)^14+(189280*x^12-349440*x^11)*exp(4)^13+(524160*x^11-960960*x^10)*exp(4)^12+(1057056*x^10-1921920*x^9)*exp(4)
^11+(1601600*x^9-2882880*x^8)*exp(4)^10+(1853280*x^8-3294720*x^7)*exp(4)^9+(1647360*x^7-2882880*x^6)*exp(4)^8+
(1121120*x^6-1921920*x^5)*exp(4)^7+(576576*x^5-960960*x^4)*exp(4)^6+(218400*x^4-349440*x^3)*exp(4)^5+(58240*x^
3-87360*x^2)*exp(4)^4+(10080*x^2-13440*x)*exp(4)^3+(960*x-960)*exp(4)^2+32*exp(4))*exp(5)+(34*x^16-64*x^15)*ex
p(4)^16+(512*x^15-960*x^14)*exp(4)^15+(3600*x^14-6720*x^13)*exp(4)^14+(15680*x^13-29120*x^12)*exp(4)^13+(47320
*x^12-87360*x^11)*exp(4)^12+(104832*x^11-192192*x^10)*exp(4)^11+(176176*x^10-320320*x^9)*exp(4)^10+(228800*x^9
-411840*x^8)*exp(4)^9)/exp(4)^16,x, algorithm="maxima")
[Out]
2*(x*e^144 + 16*((x^2 - 2*x)*e^64 + x*e^60)*e^75 + 120*((x^3 - 2*x^2)*e^64 + 2*(x^2 - 2*x)*e^60 + x*e^56)*e^70
+ 560*((x^4 - 2*x^3)*e^64 + 3*(x^3 - 2*x^2)*e^60 + 3*(x^2 - 2*x)*e^56 + x*e^52)*e^65 + (x^17 - 2*x^16)*e^64 +
16*(x^16 - 2*x^15)*e^60 + 1820*((x^5 - 2*x^4)*e^64 + 4*(x^4 - 2*x^3)*e^60 + 6*(x^3 - 2*x^2)*e^56 + 4*(x^2 - 2
*x)*e^52 + x*e^48)*e^60 + 120*(x^15 - 2*x^14)*e^56 + 4368*((x^6 - 2*x^5)*e^64 + 5*(x^5 - 2*x^4)*e^60 + 10*(x^4
- 2*x^3)*e^56 + 10*(x^3 - 2*x^2)*e^52 + 5*(x^2 - 2*x)*e^48 + x*e^44)*e^55 + 560*(x^14 - 2*x^13)*e^52 + 8008*(
(x^7 - 2*x^6)*e^64 + 6*(x^6 - 2*x^5)*e^60 + 15*(x^5 - 2*x^4)*e^56 + 20*(x^4 - 2*x^3)*e^52 + 15*(x^3 - 2*x^2)*e
^48 + 6*(x^2 - 2*x)*e^44 + x*e^40)*e^50 + 1820*(x^13 - 2*x^12)*e^48 + 11440*((x^8 - 2*x^7)*e^64 + 7*(x^7 - 2*x
^6)*e^60 + 21*(x^6 - 2*x^5)*e^56 + 35*(x^5 - 2*x^4)*e^52 + 35*(x^4 - 2*x^3)*e^48 + 21*(x^3 - 2*x^2)*e^44 + 7*(
x^2 - 2*x)*e^40 + x*e^36)*e^45 + 4368*(x^12 - 2*x^11)*e^44 + 8008*(x^11 - 2*x^10)*e^40 + 12870*((x^9 - 2*x^8)*
e^64 + 8*(x^8 - 2*x^7)*e^60 + 28*(x^7 - 2*x^6)*e^56 + 56*(x^6 - 2*x^5)*e^52 + 70*(x^5 - 2*x^4)*e^48 + 56*(x^4
- 2*x^3)*e^44 + 28*(x^3 - 2*x^2)*e^40 + 8*(x^2 - 2*x)*e^36 + x*e^32)*e^40 + 11440*(x^10 - 2*x^9)*e^36 + 11440*
((x^10 - 2*x^9)*e^64 + 9*(x^9 - 2*x^8)*e^60 + 36*(x^8 - 2*x^7)*e^56 + 84*(x^7 - 2*x^6)*e^52 + 126*(x^6 - 2*x^5
)*e^48 + 126*(x^5 - 2*x^4)*e^44 + 84*(x^4 - 2*x^3)*e^40 + 36*(x^3 - 2*x^2)*e^36 + 9*(x^2 - 2*x)*e^32 + x*e^28)
*e^35 + 12870*(x^9 - 2*x^8)*e^32 + 8008*((x^11 - 2*x^10)*e^64 + 10*(x^10 - 2*x^9)*e^60 + 45*(x^9 - 2*x^8)*e^56
+ 120*(x^8 - 2*x^7)*e^52 + 210*(x^7 - 2*x^6)*e^48 + 252*(x^6 - 2*x^5)*e^44 + 210*(x^5 - 2*x^4)*e^40 + 120*(x^
4 - 2*x^3)*e^36 + 45*(x^3 - 2*x^2)*e^32 + 10*(x^2 - 2*x)*e^28 + x*e^24)*e^30 + 11440*(x^8 - 2*x^7)*e^28 + 4368
*((x^12 - 2*x^11)*e^64 + 11*(x^11 - 2*x^10)*e^60 + 55*(x^10 - 2*x^9)*e^56 + 165*(x^9 - 2*x^8)*e^52 + 330*(x^8
- 2*x^7)*e^48 + 462*(x^7 - 2*x^6)*e^44 + 462*(x^6 - 2*x^5)*e^40 + 330*(x^5 - 2*x^4)*e^36 + 165*(x^4 - 2*x^3)*e
^32 + 55*(x^3 - 2*x^2)*e^28 + 11*(x^2 - 2*x)*e^24 + x*e^20)*e^25 + 8008*(x^7 - 2*x^6)*e^24 + 4368*(x^6 - 2*x^5
)*e^20 + 1820*((x^13 - 2*x^12)*e^64 + 12*(x^12 - 2*x^11)*e^60 + 66*(x^11 - 2*x^10)*e^56 + 220*(x^10 - 2*x^9)*e
^52 + 495*(x^9 - 2*x^8)*e^48 + 792*(x^8 - 2*x^7)*e^44 + 924*(x^7 - 2*x^6)*e^40 + 792*(x^6 - 2*x^5)*e^36 + 495*
(x^5 - 2*x^4)*e^32 + 220*(x^4 - 2*x^3)*e^28 + 66*(x^3 - 2*x^2)*e^24 + 12*(x^2 - 2*x)*e^20 + x*e^16)*e^20 + 182
0*(x^5 - 2*x^4)*e^16 + 560*((x^14 - 2*x^13)*e^64 + 13*(x^13 - 2*x^12)*e^60 + 78*(x^12 - 2*x^11)*e^56 + 286*(x^
11 - 2*x^10)*e^52 + 715*(x^10 - 2*x^9)*e^48 + 1287*(x^9 - 2*x^8)*e^44 + 1716*(x^8 - 2*x^7)*e^40 + 1716*(x^7 -
2*x^6)*e^36 + 1287*(x^6 - 2*x^5)*e^32 + 715*(x^5 - 2*x^4)*e^28 + 286*(x^4 - 2*x^3)*e^24 + 78*(x^3 - 2*x^2)*e^2
0 + 13*(x^2 - 2*x)*e^16 + x*e^12)*e^15 + 560*(x^4 - 2*x^3)*e^12 + 120*((x^15 - 2*x^14)*e^64 + 14*(x^14 - 2*x^1
3)*e^60 + 91*(x^13 - 2*x^12)*e^56 + 364*(x^12 - 2*x^11)*e^52 + 1001*(x^11 - 2*x^10)*e^48 + 2002*(x^10 - 2*x^9)
*e^44 + 3003*(x^9 - 2*x^8)*e^40 + 3432*(x^8 - 2*x^7)*e^36 + 3003*(x^7 - 2*x^6)*e^32 + 2002*(x^6 - 2*x^5)*e^28
+ 1001*(x^5 - 2*x^4)*e^24 + 364*(x^4 - 2*x^3)*e^20 + 91*(x^3 - 2*x^2)*e^16 + 14*(x^2 - 2*x)*e^12 + x*e^8)*e^10
+ 120*(x^3 - 2*x^2)*e^8 + 16*((x^16 - 2*x^15)*e^64 + 15*(x^15 - 2*x^14)*e^60 + 105*(x^14 - 2*x^13)*e^56 + 455
*(x^13 - 2*x^12)*e^52 + 1365*(x^12 - 2*x^11)*e^48 + 3003*(x^11 - 2*x^10)*e^44 + 5005*(x^10 - 2*x^9)*e^40 + 643
5*(x^9 - 2*x^8)*e^36 + 6435*(x^8 - 2*x^7)*e^32 + 5005*(x^7 - 2*x^6)*e^28 + 3003*(x^6 - 2*x^5)*e^24 + 1365*(x^5
- 2*x^4)*e^20 + 455*(x^4 - 2*x^3)*e^16 + 105*(x^3 - 2*x^2)*e^12 + 15*(x^2 - 2*x)*e^8 + x*e^4)*e^5 + 16*(x^2 -
2*x)*e^4 + (x*e^64 - 2*e^64)*e^(4*x) - 4*(x^5*e^64 + 2*x^4*(2*e^69 - e^64 + 2*e^60) + 2*x^3*(3*e^74 - 4*e^69
+ 6*e^65 - 4*e^60 + 3*e^56) + 4*x^2*(e^79 - 3*e^74 + 3*e^70 - 6*e^65 + 3*e^61 - 3*e^56 + e^52) + x*(e^84 - 8*e
^79 + 4*e^75 - 24*e^70 + 6*e^66 - 24*e^61 + 4*e^57 - 8*e^52 + e^48) - 2*e^84 - 8*e^75 - 12*e^66 - 8*e^57 - 2*e
^48)*e^(3*x) + 6*(x^9*e^64 + 2*x^8*(4*e^69 - e^64 + 4*e^60) + 4*x^7*(7*e^74 - 4*e^69 + 14*e^65 - 4*e^60 + 7*e^
56) + 56*x^6*(e^79 - e^74 + 3*e^70 - 2*e^65 + 3*e^61 - e^56 + e^52) + 14*x^5*(5*e^84 - 8*e^79 + 20*e^75 - 24*e
^70 + 30*e^66 - 24*e^61 + 20*e^57 - 8*e^52 + 5*e^48) + 28*x^4*(2*e^89 - 5*e^84 + 10*e^80 - 20*e^75 + 20*e^71 -
30*e^66 + 20*e^62 - 20*e^57 + 10*e^53 - 5*e^48 + 2*e^44) + 28*x^3*(e^94 - 4*e^89 + 6*e^85 - 20*e^80 + 15*e^76
- 40*e^71 + 20*e^67 - 40*e^62 + 15*e^58 - 20*e^53 + 6*e^49 - 4*e^44 + e^40) + 8*x^2*(e^99 - 7*e^94 + 7*e^90 -
42*e^85 + 21*e^81 - 105*e^76 + 35*e^72 - 140*e^67 + 35*e^63 - 105*e^58 + 21*e^54 - 42*e^49 + 7*e^45 - 7*e^40
+ e^36) + x*(e^104 - 16*e^99 + 8*e^95 - 112*e^90 + 28*e^86 - 336*e^81 + 56*e^77 - 560*e^72 + 70*e^68 - 560*e^6
3 + 56*e^59 - 336*e^54 + 28*e^50 - 112*e^45 + 8*e^41 - 16*e^36 + e^32) - 2*e^104 - 16*e^95 - 56*e^86 - 112*e^7
7 - 140*e^68 - 112*e^59 - 56*e^50 - 16*e^41 - 2*e^32)*e^(2*x) - 4*(x^13*e^64 + 2*x^12*(6*e^69 - e^64 + 6*e^60)
+ 6*x^11*(11*e^74 - 4*e^69 + 22*e^65 - 4*e^60 + 11*e^56) + 44*x^10*(5*e^79 - 3*e^74 + 15*e^70 - 6*e^65 + 15*e
^61 - 3*e^56 + 5*e^52) + 55*x^9*(9*e^84 - 8*e^79 + 36*e^75 - 24*e^70 + 54*e^66 - 24*e^61 + 36*e^57 - 8*e^52 +
9*e^48) + 198*x^8*(4*e^89 - 5*e^84 + 20*e^80 - 20*e^75 + 40*e^71 - 30*e^66 + 40*e^62 - 20*e^57 + 20*e^53 - 5*e
^48 + 4*e^44) + 132*x^7*(7*e^94 - 12*e^89 + 42*e^85 - 60*e^80 + 105*e^76 - 120*e^71 + 140*e^67 - 120*e^62 + 10
5*e^58 - 60*e^53 + 42*e^49 - 12*e^44 + 7*e^40) + 264*x^6*(3*e^99 - 7*e^94 + 21*e^90 - 42*e^85 + 63*e^81 - 105*
e^76 + 105*e^72 - 140*e^67 + 105*e^63 - 105*e^58 + 63*e^54 - 42*e^49 + 21*e^45 - 7*e^40 + 3*e^36) + 99*x^5*(5*
e^104 - 16*e^99 + 40*e^95 - 112*e^90 + 140*e^86 - 336*e^81 + 280*e^77 - 560*e^72 + 350*e^68 - 560*e^63 + 280*e
^59 - 336*e^54 + 140*e^50 - 112*e^45 + 40*e^41 - 16*e^36 + 5*e^32) + 110*x^4*(2*e^109 - 9*e^104 + 18*e^100 - 7
2*e^95 + 72*e^91 - 252*e^86 + 168*e^82 - 504*e^77 + 252*e^73 - 630*e^68 + 252*e^64 - 504*e^59 + 168*e^55 - 252
*e^50 + 72*e^46 - 72*e^41 + 18*e^37 - 9*e^32 + 2*e^28) + 22*x^3*(3*e^114 - 20*e^109 + 30*e^105 - 180*e^100 + 1
35*e^96 - 720*e^91 + 360*e^87 - 1680*e^82 + 630*e^78 - 2520*e^73 + 756*e^69 - 2520*e^64 + 630*e^60 - 1680*e^55
+ 360*e^51 - 720*e^46 + 135*e^42 - 180*e^37 + 30*e^33 - 20*e^28 + 3*e^24) + 12*x^2*(e^119 - 11*e^114 + 11*e^1
10 - 110*e^105 + 55*e^101 - 495*e^96 + 165*e^92 - 1320*e^87 + 330*e^83 - 2310*e^78 + 462*e^74 - 2772*e^69 + 46
2*e^65 - 2310*e^60 + 330*e^56 - 1320*e^51 + 165*e^47 - 495*e^42 + 55*e^38 - 110*e^33 + 11*e^29 - 11*e^24 + e^2
0) + x*(e^124 - 24*e^119 + 12*e^115 - 264*e^110 + 66*e^106 - 1320*e^101 + 220*e^97 - 3960*e^92 + 495*e^88 - 79
20*e^83 + 792*e^79 - 11088*e^74 + 924*e^70 - 11088*e^65 + 792*e^61 - 7920*e^56 + 495*e^52 - 3960*e^47 + 220*e^
43 - 1320*e^38 + 66*e^34 - 264*e^29 + 12*e^25 - 24*e^20 + e^16) - 2*e^124 - 24*e^115 - 132*e^106 - 440*e^97 -
990*e^88 - 1584*e^79 - 1848*e^70 - 1584*e^61 - 990*e^52 - 440*e^43 - 132*e^34 - 24*e^25 - 2*e^16)*e^x + x)*e^(
-64)
________________________________________________________________________________________
mupad [B] time = 17.17, size = 943, normalized size = 39.29 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
int(-exp(-64)*(exp(35)*(exp(36)*(3294720*x - 2471040*x^2) - 22880*exp(28) + exp(64)*(411840*x^8 - 228800*x^9)
+ exp(60)*(3294720*x^7 - 1853280*x^8) + exp(56)*(11531520*x^6 - 6589440*x^7) + exp(40)*(11531520*x^2 - 7687680
*x^3) + exp(52)*(23063040*x^5 - 13453440*x^6) + exp(44)*(23063040*x^3 - 14414400*x^4) + exp(48)*(28828800*x^4
- 17297280*x^5) - exp(32)*(411840*x - 411840)) - exp(70)*(240*exp(56) - exp(64)*(960*x - 720*x^2) + exp(60)*(9
60*x - 960)) - 2*exp(144) + exp(8)*(960*x - 720*x^2) + exp(60)*(exp(56)*(87360*x - 65520*x^2) - 3640*exp(48) +
exp(64)*(29120*x^3 - 18200*x^4) + exp(60)*(87360*x^2 - 58240*x^3) - exp(52)*(29120*x - 29120)) + exp(25)*(exp
(28)*(1921920*x - 1441440*x^2) - 8736*exp(20) + exp(64)*(192192*x^10 - 104832*x^11) + exp(60)*(1921920*x^9 - 1
057056*x^10) + exp(56)*(8648640*x^8 - 4804800*x^9) + exp(32)*(8648640*x^2 - 5765760*x^3) + exp(52)*(23063040*x
^7 - 12972960*x^8) + exp(36)*(23063040*x^3 - 14414400*x^4) + exp(48)*(40360320*x^6 - 23063040*x^7) + exp(40)*(
40360320*x^4 - 24216192*x^5) + exp(44)*(48432384*x^5 - 28252224*x^6) - exp(24)*(192192*x - 192192)) + exp(50)*
(exp(48)*(960960*x - 720720*x^2) - 16016*exp(40) + exp(64)*(192192*x^5 - 112112*x^6) + exp(60)*(960960*x^4 - 5
76576*x^5) + exp(56)*(1921920*x^3 - 1201200*x^4) + exp(52)*(1921920*x^2 - 1281280*x^3) - exp(44)*(192192*x - 1
92192)) + exp(15)*(exp(20)*(349440*x - 262080*x^2) - 1120*exp(12) + exp(64)*(29120*x^12 - 15680*x^13) + exp(60
)*(349440*x^11 - 189280*x^12) + exp(56)*(1921920*x^10 - 1048320*x^11) + exp(24)*(1921920*x^2 - 1281280*x^3) +
exp(52)*(6406400*x^9 - 3523520*x^10) + exp(28)*(6406400*x^3 - 4004000*x^4) + exp(48)*(14414400*x^8 - 8008000*x
^9) + exp(32)*(14414400*x^4 - 8648640*x^5) + exp(44)*(23063040*x^7 - 12972960*x^8) + exp(36)*(23063040*x^5 - 1
3453440*x^6) + exp(40)*(26906880*x^6 - 15375360*x^7) - exp(16)*(29120*x - 29120)) - exp(2*x)*(exp(5)*(exp(64)*
(384*x^7 - 1344*x^6 + 192*x^8) - exp(44)*(8064*x + 2016*x^2 - 4032*x^3) - exp(48)*(20160*x^2 - 6720*x^4) - exp
(40)*(1344*x - 1344*x^2 + 1344) + exp(60)*(2016*x^6 - 8064*x^5 + 1344*x^7) + exp(56)*(4032*x^5 - 20160*x^4 + 4
032*x^6) + exp(52)*(3360*x^4 - 26880*x^3 + 6720*x^5) + exp(36)*(192*x - 288)) - exp(36)*(192*x - 192*x^2 + 192
) - exp(25)*(exp(56)*(4032*x - 4032*x^2 + 4032) + exp(60)*(8064*x + 2016*x^2 - 4032*x^3) + exp(64)*(4032*x^2 -
1344*x^4) - exp(52)*(1344*x - 2016)) - exp(35)*(exp(64)*(192*x - 192*x^2 + 192) - exp(60)*(192*x - 288)) - ex
p(40)*(1344*x + 336*x^2 - 672*x^3) - exp(20)*(exp(52)*(6720*x - 6720*x^2 + 6720) + exp(56)*(20160*x + 5040*x^2
- 10080*x^3) + exp(60)*(20160*x^2 - 6720*x^4) - exp(64)*(840*x^4 - 6720*x^3 + 1680*x^5) - exp(48)*(1680*x - 2
520)) - exp(44)*(4032*x^2 - 1344*x^4) + exp(10)*(exp(64)*(1008*x^6 - 4032*x^5 + 672*x^7) - exp(48)*(20160*x +
5040*x^2 - 10080*x^3) - exp(52)*(40320*x^2 - 13440*x^4) - exp(44)*(4032*x - 4032*x^2 + 4032) + exp(60)*(4032*x
^5 - 20160*x^4 + 4032*x^6) + exp(56)*(5040*x^4 - 40320*x^3 + 10080*x^5) + exp(40)*(672*x - 1008)) - exp(30)*(e
xp(60)*(1344*x - 1344*x^2 + 1344) + exp(64)*(1344*x + 336*x^2 - 672*x^3) - exp(56)*(672*x - 1008)) + exp(64)*(
60*x^8 - 192*x^7 + 24*x^9) + exp(60)*(384*x^7 - 1344*x^6 + 192*x^8) + exp(56)*(1008*x^6 - 4032*x^5 + 672*x^7)
+ exp(48)*(840*x^4 - 6720*x^3 + 1680*x^5) + exp(52)*(1344*x^5 - 6720*x^4 + 1344*x^6) - exp(15)*(exp(48)*(6720*
x - 6720*x^2 + 6720) + exp(52)*(26880*x + 6720*x^2 - 13440*x^3) + exp(56)*(40320*x^2 - 13440*x^4) - exp(64)*(1
344*x^5 - 6720*x^4 + 1344*x^6) - exp(60)*(3360*x^4 - 26880*x^3 + 6720*x^5) - exp(44)*(1344*x - 2016)) + exp(32
)*(24*x - 36) + exp(104)*(24*x - 36)) + exp(5)*(exp(12)*(13440*x - 10080*x^2) - 32*exp(4) + exp(64)*(960*x^14
- 512*x^15) + exp(60)*(13440*x^13 - 7200*x^14) + exp(56)*(87360*x^12 - 47040*x^13) + exp(16)*(87360*x^2 - 5824
0*x^3) + exp(52)*(349440*x^11 - 189280*x^12) + exp(20)*(349440*x^3 - 218400*x^4) + exp(48)*(960960*x^10 - 5241
60*x^11) + exp(24)*(960960*x^4 - 576576*x^5) + exp(44)*(1921920*x^9 - 1057056*x^10) + exp(28)*(1921920*x^5 - 1
121120*x^6) + exp(40)*(2882880*x^8 - 1601600*x^9) + exp(32)*(2882880*x^6 - 1647360*x^7) + exp(36)*(3294720*x^7
- 1853280*x^8) - exp(8)*(960*x - 960)) + exp(40)*(exp(40)*(2882880*x - 2162160*x^2) - 25740*exp(32) + exp(64)
*(411840*x^7 - 231660*x^8) + exp(60)*(2882880*x^6 - 1647360*x^7) + exp(56)*(8648640*x^5 - 5045040*x^6) + exp(4
4)*(8648640*x^2 - 5765760*x^3) + exp(52)*(14414400*x^4 - 8648640*x^5) + exp(48)*(14414400*x^3 - 9009000*x^4) -
exp(36)*(411840*x - 411840)) + exp(64)*(64*x^15 - 34*x^16) + exp(60)*(960*x^14 - 512*x^15) + exp(56)*(6720*x^
13 - 3600*x^14) + exp(12)*(6720*x^2 - 4480*x^3) + exp(52)*(29120*x^12 - 15680*x^13) + exp(16)*(29120*x^3 - 182
00*x^4) + exp(48)*(87360*x^11 - 47320*x^12) + exp(20)*(87360*x^4 - 52416*x^5) + exp(44)*(192192*x^10 - 104832*
x^11) + exp(24)*(192192*x^5 - 112112*x^6) + exp(40)*(320320*x^9 - 176176*x^10) + exp(28)*(320320*x^6 - 183040*
x^7) + exp(36)*(411840*x^8 - 228800*x^9) + exp(32)*(411840*x^7 - 231660*x^8) - exp(65)*(1120*exp(52) - exp(60)
*(13440*x - 10080*x^2) - exp(64)*(6720*x^2 - 4480*x^3) + exp(56)*(6720*x - 6720)) - exp(3*x)*(exp(52)*(128*x -
96*x^2 + 64) + exp(15)*(exp(64)*(128*x - 96*x^2 + 64) - exp(60)*(96*x - 160)) + exp(56)*(192*x + 144*x^2 - 14
4*x^3) + exp(5)*(exp(56)*(384*x - 288*x^2 + 192) + exp(60)*(384*x + 288*x^2 - 288*x^3) + exp(64)*(192*x^2 + 64
*x^3 - 96*x^4) - exp(52)*(96*x - 160)) + exp(10)*(exp(60)*(384*x - 288*x^2 + 192) + exp(64)*(192*x + 144*x^2 -
144*x^3) - exp(56)*(144*x - 240)) + exp(64)*(64*x^3 + 8*x^4 - 24*x^5) + exp(60)*(192*x^2 + 64*x^3 - 96*x^4) -
exp(48)*(24*x - 40) - exp(84)*(24*x - 40)) + exp(30)*(exp(32)*(2882880*x - 2162160*x^2) - 16016*exp(24) + exp
(64)*(320320*x^9 - 176176*x^10) + exp(60)*(2882880*x^8 - 1601600*x^9) + exp(56)*(11531520*x^7 - 6486480*x^8) +
exp(36)*(11531520*x^2 - 7687680*x^3) + exp(52)*(26906880*x^6 - 15375360*x^7) + exp(40)*(26906880*x^3 - 168168
00*x^4) + exp(48)*(40360320*x^5 - 23543520*x^6) + exp(44)*(40360320*x^4 - 24216192*x^5) - exp(28)*(320320*x -
320320)) + exp(55)*(exp(52)*(349440*x - 262080*x^2) - 8736*exp(44) + exp(64)*(87360*x^4 - 52416*x^5) + exp(60)
*(349440*x^3 - 218400*x^4) + exp(56)*(524160*x^2 - 349440*x^3) - exp(48)*(87360*x - 87360)) + exp(20)*(exp(24)
*(960960*x - 720720*x^2) - 3640*exp(16) + exp(64)*(87360*x^11 - 47320*x^12) + exp(60)*(960960*x^10 - 524160*x^
11) + exp(56)*(4804800*x^9 - 2642640*x^10) + exp(28)*(4804800*x^2 - 3203200*x^3) + exp(52)*(14414400*x^8 - 800
8000*x^9) + exp(32)*(14414400*x^3 - 9009000*x^4) + exp(48)*(28828800*x^7 - 16216200*x^8) + exp(36)*(28828800*x
^4 - 17297280*x^5) + exp(44)*(40360320*x^6 - 23063040*x^7) + exp(40)*(40360320*x^5 - 23543520*x^6) - exp(20)*(
87360*x - 87360)) - exp(75)*(32*exp(60) + exp(64)*(64*x - 64)) + exp(x)*(exp(30)*(exp(44)*(44352*x^2 - 88704)
+ exp(48)*(110880*x^2 - 443520*x + 110880*x^3) + exp(64)*(36960*x^6 - 88704*x^5 + 7392*x^7) + exp(60)*(177408*
x^5 - 443520*x^4 + 44352*x^6) + exp(52)*(295680*x^3 - 887040*x^2 + 147840*x^4) + exp(56)*(332640*x^4 - 887040*
x^3 + 110880*x^5) + exp(40)*(7392*x - 7392)) + exp(10)*(exp(28)*(5280*x^2 - 10560) + exp(32)*(23760*x^2 - 9504
0*x + 23760*x^3) + exp(64)*(4752*x^10 - 10560*x^9 + 528*x^11) + exp(60)*(42240*x^9 - 95040*x^8 + 5280*x^10) +
exp(36)*(126720*x^3 - 380160*x^2 + 63360*x^4) + exp(56)*(166320*x^8 - 380160*x^7 + 23760*x^9) + exp(40)*(33264
0*x^4 - 887040*x^3 + 110880*x^5) + exp(52)*(380160*x^7 - 887040*x^6 + 63360*x^8) + exp(44)*(532224*x^5 - 13305
60*x^4 + 133056*x^6) + exp(48)*(554400*x^6 - 1330560*x^5 + 110880*x^7) + exp(24)*(528*x - 528)) + exp(35)*(exp
(48)*(31680*x^2 - 63360) + exp(52)*(63360*x^2 - 253440*x + 63360*x^3) + exp(64)*(25344*x^5 - 63360*x^4 + 6336*
x^6) + exp(60)*(95040*x^4 - 253440*x^3 + 31680*x^5) + exp(56)*(126720*x^3 - 380160*x^2 + 63360*x^4) + exp(44)*
(6336*x - 6336)) + exp(20)*(96*x^2 - 192) + exp(15)*(exp(32)*(15840*x^2 - 31680) + exp(36)*(63360*x^2 - 253440
*x + 63360*x^3) + exp(64)*(14080*x^9 - 31680*x^8 + 1760*x^10) + exp(60)*(110880*x^8 - 253440*x^7 + 15840*x^9)
+ exp(40)*(295680*x^3 - 887040*x^2 + 147840*x^4) + exp(56)*(380160*x^7 - 887040*x^6 + 63360*x^8) + exp(44)*(66
5280*x^4 - 1774080*x^3 + 221760*x^5) + exp(52)*(739200*x^6 - 1774080*x^5 + 147840*x^7) + exp(48)*(887040*x^5 -
2217600*x^4 + 221760*x^6) + exp(28)*(1760*x - 1760)) + exp(24)*(528*x^2 - 2112*x + 528*x^3) + exp(40)*(exp(52
)*(15840*x^2 - 31680) + exp(56)*(23760*x^2 - 95040*x + 23760*x^3) + exp(64)*(11880*x^4 - 31680*x^3 + 3960*x^5)
+ exp(60)*(31680*x^3 - 95040*x^2 + 15840*x^4) + exp(48)*(3960*x - 3960)) + exp(55)*(exp(64)*(96*x^2 - 192) +
exp(60)*(96*x - 96)) + exp(20)*(exp(36)*(31680*x^2 - 63360) + exp(40)*(110880*x^2 - 443520*x + 110880*x^3) + e
xp(64)*(27720*x^8 - 63360*x^7 + 3960*x^9) + exp(60)*(190080*x^7 - 443520*x^6 + 31680*x^8) + exp(44)*(443520*x^
3 - 1330560*x^2 + 221760*x^4) + exp(56)*(554400*x^6 - 1330560*x^5 + 110880*x^7) + exp(48)*(831600*x^4 - 221760
0*x^3 + 277200*x^5) + exp(52)*(887040*x^5 - 2217600*x^4 + 221760*x^6) + exp(32)*(3960*x - 3960)) + exp(45)*(ex
p(56)*(5280*x^2 - 10560) + exp(60)*(5280*x^2 - 21120*x + 5280*x^3) + exp(64)*(3520*x^3 - 10560*x^2 + 1760*x^4)
+ exp(52)*(1760*x - 1760)) + exp(64)*(88*x^12 - 192*x^11 + 8*x^13) + exp(60)*(960*x^11 - 2112*x^10 + 96*x^12)
+ exp(28)*(3520*x^3 - 10560*x^2 + 1760*x^4) + exp(56)*(4752*x^10 - 10560*x^9 + 528*x^11) + exp(32)*(11880*x^4
- 31680*x^3 + 3960*x^5) + exp(52)*(14080*x^9 - 31680*x^8 + 1760*x^10) + exp(36)*(25344*x^5 - 63360*x^4 + 6336
*x^6) + exp(48)*(27720*x^8 - 63360*x^7 + 3960*x^9) + exp(40)*(36960*x^6 - 88704*x^5 + 7392*x^7) + exp(44)*(380
16*x^7 - 88704*x^6 + 6336*x^8) + exp(25)*(exp(40)*(44352*x^2 - 88704) + exp(44)*(133056*x^2 - 532224*x + 13305
6*x^3) + exp(64)*(38016*x^7 - 88704*x^6 + 6336*x^8) + exp(60)*(221760*x^6 - 532224*x^5 + 44352*x^7) + exp(48)*
(443520*x^3 - 1330560*x^2 + 221760*x^4) + exp(56)*(532224*x^5 - 1330560*x^4 + 133056*x^6) + exp(52)*(665280*x^
4 - 1774080*x^3 + 221760*x^5) + exp(36)*(6336*x - 6336)) + exp(50)*(exp(60)*(1056*x^2 - 2112) + exp(64)*(528*x
^2 - 2112*x + 528*x^3) + exp(56)*(528*x - 528)) + exp(5)*(exp(24)*(1056*x^2 - 2112) + exp(28)*(5280*x^2 - 2112
0*x + 5280*x^3) + exp(64)*(960*x^11 - 2112*x^10 + 96*x^12) + exp(60)*(9504*x^10 - 21120*x^9 + 1056*x^11) + exp
(32)*(31680*x^3 - 95040*x^2 + 15840*x^4) + exp(56)*(42240*x^9 - 95040*x^8 + 5280*x^10) + exp(36)*(95040*x^4 -
253440*x^3 + 31680*x^5) + exp(52)*(110880*x^8 - 253440*x^7 + 15840*x^9) + exp(40)*(177408*x^5 - 443520*x^4 + 4
4352*x^6) + exp(48)*(190080*x^7 - 443520*x^6 + 31680*x^8) + exp(44)*(221760*x^6 - 532224*x^5 + 44352*x^7) + ex
p(20)*(96*x - 96)) + exp(16)*(8*x - 8) + exp(124)*(8*x - 8)) + exp(45)*(exp(44)*(1921920*x - 1441440*x^2) - 22
880*exp(36) + exp(64)*(320320*x^6 - 183040*x^7) + exp(60)*(1921920*x^5 - 1121120*x^6) + exp(56)*(4804800*x^4 -
2882880*x^5) + exp(48)*(4804800*x^2 - 3203200*x^3) + exp(52)*(6406400*x^3 - 4004000*x^4) - exp(40)*(320320*x
- 320320)) + exp(10)*(exp(16)*(87360*x - 65520*x^2) - 240*exp(8) + exp(64)*(6720*x^13 - 3600*x^14) + exp(60)*(
87360*x^12 - 47040*x^13) + exp(56)*(524160*x^11 - 283920*x^12) + exp(20)*(524160*x^2 - 349440*x^3) + exp(52)*(
1921920*x^10 - 1048320*x^11) + exp(24)*(1921920*x^3 - 1201200*x^4) + exp(48)*(4804800*x^9 - 2642640*x^10) + ex
p(28)*(4804800*x^4 - 2882880*x^5) + exp(44)*(8648640*x^8 - 4804800*x^9) + exp(32)*(8648640*x^5 - 5045040*x^6)
+ exp(40)*(11531520*x^7 - 6486480*x^8) + exp(36)*(11531520*x^6 - 6589440*x^7) - exp(12)*(6720*x - 6720)) - exp
(4)*(64*x - 64) - exp(4*x)*exp(64)*(8*x - 14) - 2),x)
[Out]
x^16*(32*exp(-4) + 32*exp(5) - 4) + exp(2*x)*(x^8*(96*exp(-4) + 96*exp(5) - 24) + 12*x^9 - 24*exp(-32)*(exp(9)
+ 1)^8 + 48*x^7*exp(-8)*(14*exp(9) - 4*exp(4) - 4*exp(13) + 7*exp(18) + 7) + 672*x^6*exp(-12)*(exp(9) + 1)^2*
(exp(9) - exp(4) + 1) + 336*x^3*exp(-24)*(exp(9) + 1)^5*(exp(9) - 4*exp(4) + 1) + 96*x^2*exp(-28)*(exp(9) + 1)
^6*(exp(9) - 7*exp(4) + 1) + 336*x^4*exp(-20)*(exp(9) + 1)^4*(2*exp(9) - 5*exp(4) + 2) + 168*x^5*exp(-16)*(exp
(9) + 1)^3*(5*exp(9) - 8*exp(4) + 5) + 12*x*exp(-32)*(exp(9) + 1)^7*(exp(9) - 16*exp(4) + 1)) - exp(x)*(x^12*(
96*exp(-4) + 96*exp(5) - 16) + 8*x^13 - 16*exp(-48)*(exp(9) + 1)^12 + 48*x^11*exp(-8)*(22*exp(9) - 4*exp(4) -
4*exp(13) + 11*exp(18) + 11) + 96*x^2*exp(-44)*(exp(9) + 1)^10*(exp(9) - 11*exp(4) + 1) + 352*x^10*exp(-12)*(e
xp(9) + 1)^2*(5*exp(9) - 3*exp(4) + 5) + 1584*x^8*exp(-20)*(exp(9) + 1)^4*(4*exp(9) - 5*exp(4) + 4) + 2112*x^6
*exp(-28)*(exp(9) + 1)^6*(3*exp(9) - 7*exp(4) + 3) + 440*x^9*exp(-16)*(exp(9) + 1)^3*(9*exp(9) - 8*exp(4) + 9)
+ 880*x^4*exp(-36)*(exp(9) + 1)^8*(2*exp(9) - 9*exp(4) + 2) + 1056*x^7*exp(-24)*(exp(9) + 1)^5*(7*exp(9) - 12
*exp(4) + 7) + 792*x^5*exp(-32)*(exp(9) + 1)^7*(5*exp(9) - 16*exp(4) + 5) + 176*x^3*exp(-40)*(exp(9) + 1)^9*(3
*exp(9) - 20*exp(4) + 3) + 8*x*exp(-48)*(exp(9) + 1)^11*(exp(9) - 24*exp(4) + 1)) - exp(3*x)*(x^4*(32*exp(-4)
+ 32*exp(5) - 16) + 8*x^5 - 16*exp(-16)*(exp(9) + 1)^4 + 16*x^3*exp(-8)*(6*exp(9) - 4*exp(4) - 4*exp(13) + 3*e
xp(18) + 3) + 32*x^2*exp(-12)*(exp(9) + 1)^2*(exp(9) - 3*exp(4) + 1) + 8*x*exp(-16)*(exp(9) + 1)^3*(exp(9) - 8
*exp(4) + 1)) + exp(4*x)*(2*x - 4) + 2*x^17 + 16*x^15*exp(-8)*(30*exp(9) - 4*exp(4) - 4*exp(13) + 15*exp(18) +
15) + 32*x^2*exp(-60)*(exp(9) + 1)^14*(exp(9) - 15*exp(4) + 1) + 160*x^14*exp(-12)*(exp(9) + 1)^2*(7*exp(9) -
3*exp(4) + 7) + 1456*x^12*exp(-20)*(exp(9) + 1)^4*(6*exp(9) - 5*exp(4) + 6) + 4576*x^10*exp(-28)*(exp(9) + 1)
^6*(5*exp(9) - 7*exp(4) + 5) + 280*x^13*exp(-16)*(exp(9) + 1)^3*(13*exp(9) - 8*exp(4) + 13) + 5720*x^8*exp(-36
)*(exp(9) + 1)^8*(4*exp(9) - 9*exp(4) + 4) + 1456*x^11*exp(-24)*(exp(9) + 1)^5*(11*exp(9) - 12*exp(4) + 11) +
2912*x^6*exp(-44)*(exp(9) + 1)^10*(3*exp(9) - 11*exp(4) + 3) + 2860*x^9*exp(-32)*(exp(9) + 1)^7*(9*exp(9) - 16
*exp(4) + 9) + 560*x^4*exp(-52)*(exp(9) + 1)^12*(2*exp(9) - 13*exp(4) + 2) + 2288*x^7*exp(-40)*(exp(9) + 1)^9*
(7*exp(9) - 20*exp(4) + 7) + 728*x^5*exp(-48)*(exp(9) + 1)^11*(5*exp(9) - 24*exp(4) + 5) + 80*x^3*exp(-56)*(ex
p(9) + 1)^13*(3*exp(9) - 28*exp(4) + 3) + 2*x*exp(-64)*(exp(9) + 1)^15*(exp(9) - 32*exp(4) + 1)
________________________________________________________________________________________
sympy [B] time = 11.76, size = 3947, normalized size = 164.46 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((2+2*exp(4)**16*exp(5)**16+((-24*x+40)*exp(4)**16*exp(5)**4+((-96*x**2+128*x+64)*exp(4)**16+(-96*x+1
60)*exp(4)**15)*exp(5)**3+((-144*x**3+144*x**2+192*x)*exp(4)**16+(-288*x**2+384*x+192)*exp(4)**15+(-144*x+240)
*exp(4)**14)*exp(5)**2+((-96*x**4+64*x**3+192*x**2)*exp(4)**16+(-288*x**3+288*x**2+384*x)*exp(4)**15+(-288*x**
2+384*x+192)*exp(4)**14+(-96*x+160)*exp(4)**13)*exp(5)+(-24*x**5+8*x**4+64*x**3)*exp(4)**16+(-96*x**4+64*x**3+
192*x**2)*exp(4)**15+(-144*x**3+144*x**2+192*x)*exp(4)**14+(-96*x**2+128*x+64)*exp(4)**13+(-24*x+40)*exp(4)**1
2)*exp(x)**3+((24*x-36)*exp(4)**16*exp(5)**8+((192*x**2-192*x-192)*exp(4)**16+(192*x-288)*exp(4)**15)*exp(5)**
7+((672*x**3-336*x**2-1344*x)*exp(4)**16+(1344*x**2-1344*x-1344)*exp(4)**15+(672*x-1008)*exp(4)**14)*exp(5)**6
+((1344*x**4-4032*x**2)*exp(4)**16+(4032*x**3-2016*x**2-8064*x)*exp(4)**15+(4032*x**2-4032*x-4032)*exp(4)**14+
(1344*x-2016)*exp(4)**13)*exp(5)**5+((1680*x**5+840*x**4-6720*x**3)*exp(4)**16+(6720*x**4-20160*x**2)*exp(4)**
15+(10080*x**3-5040*x**2-20160*x)*exp(4)**14+(6720*x**2-6720*x-6720)*exp(4)**13+(1680*x-2520)*exp(4)**12)*exp(
5)**4+((1344*x**6+1344*x**5-6720*x**4)*exp(4)**16+(6720*x**5+3360*x**4-26880*x**3)*exp(4)**15+(13440*x**4-4032
0*x**2)*exp(4)**14+(13440*x**3-6720*x**2-26880*x)*exp(4)**13+(6720*x**2-6720*x-6720)*exp(4)**12+(1344*x-2016)*
exp(4)**11)*exp(5)**3+((672*x**7+1008*x**6-4032*x**5)*exp(4)**16+(4032*x**6+4032*x**5-20160*x**4)*exp(4)**15+(
10080*x**5+5040*x**4-40320*x**3)*exp(4)**14+(13440*x**4-40320*x**2)*exp(4)**13+(10080*x**3-5040*x**2-20160*x)*
exp(4)**12+(4032*x**2-4032*x-4032)*exp(4)**11+(672*x-1008)*exp(4)**10)*exp(5)**2+((192*x**8+384*x**7-1344*x**6
)*exp(4)**16+(1344*x**7+2016*x**6-8064*x**5)*exp(4)**15+(4032*x**6+4032*x**5-20160*x**4)*exp(4)**14+(6720*x**5
+3360*x**4-26880*x**3)*exp(4)**13+(6720*x**4-20160*x**2)*exp(4)**12+(4032*x**3-2016*x**2-8064*x)*exp(4)**11+(1
344*x**2-1344*x-1344)*exp(4)**10+(192*x-288)*exp(4)**9)*exp(5)+(24*x**9+60*x**8-192*x**7)*exp(4)**16+(192*x**8
+384*x**7-1344*x**6)*exp(4)**15+(672*x**7+1008*x**6-4032*x**5)*exp(4)**14+(1344*x**6+1344*x**5-6720*x**4)*exp(
4)**13+(1680*x**5+840*x**4-6720*x**3)*exp(4)**12+(1344*x**4-4032*x**2)*exp(4)**11+(672*x**3-336*x**2-1344*x)*e
xp(4)**10+(192*x**2-192*x-192)*exp(4)**9+(24*x-36)*exp(4)**8)*exp(x)**2+(((-1760*x**4-3520*x**3+10560*x**2)*ex
p(4)**16+(-5280*x**3-5280*x**2+21120*x)*exp(4)**15+(-5280*x**2+10560)*exp(4)**14+(-1760*x+1760)*exp(4)**13)*ex
p(5)**9+((-3960*x**5-11880*x**4+31680*x**3)*exp(4)**16+(-15840*x**4-31680*x**3+95040*x**2)*exp(4)**15+(-23760*
x**3-23760*x**2+95040*x)*exp(4)**14+(-15840*x**2+31680)*exp(4)**13+(-3960*x+3960)*exp(4)**12)*exp(5)**8+((-633
6*x**6-25344*x**5+63360*x**4)*exp(4)**16+(-31680*x**5-95040*x**4+253440*x**3)*exp(4)**15+(-63360*x**4-126720*x
**3+380160*x**2)*exp(4)**14+(-63360*x**3-63360*x**2+253440*x)*exp(4)**13+(-31680*x**2+63360)*exp(4)**12+(-6336
*x+6336)*exp(4)**11)*exp(5)**7+((-7392*x**7-36960*x**6+88704*x**5)*exp(4)**16+(-44352*x**6-177408*x**5+443520*
x**4)*exp(4)**15+(-110880*x**5-332640*x**4+887040*x**3)*exp(4)**14+(-147840*x**4-295680*x**3+887040*x**2)*exp(
4)**13+(-110880*x**3-110880*x**2+443520*x)*exp(4)**12+(-44352*x**2+88704)*exp(4)**11+(-7392*x+7392)*exp(4)**10
)*exp(5)**6+((-6336*x**8-38016*x**7+88704*x**6)*exp(4)**16+(-44352*x**7-221760*x**6+532224*x**5)*exp(4)**15+(-
133056*x**6-532224*x**5+1330560*x**4)*exp(4)**14+(-221760*x**5-665280*x**4+1774080*x**3)*exp(4)**13+(-221760*x
**4-443520*x**3+1330560*x**2)*exp(4)**12+(-133056*x**3-133056*x**2+532224*x)*exp(4)**11+(-44352*x**2+88704)*ex
p(4)**10+(-6336*x+6336)*exp(4)**9)*exp(5)**5+((-3960*x**9-27720*x**8+63360*x**7)*exp(4)**16+(-31680*x**8-19008
0*x**7+443520*x**6)*exp(4)**15+(-110880*x**7-554400*x**6+1330560*x**5)*exp(4)**14+(-221760*x**6-887040*x**5+22
17600*x**4)*exp(4)**13+(-277200*x**5-831600*x**4+2217600*x**3)*exp(4)**12+(-221760*x**4-443520*x**3+1330560*x*
*2)*exp(4)**11+(-110880*x**3-110880*x**2+443520*x)*exp(4)**10+(-31680*x**2+63360)*exp(4)**9+(-3960*x+3960)*exp
(4)**8)*exp(5)**4+((-96*x**2+192)*exp(4)**16+(-96*x+96)*exp(4)**15)*exp(5)**11+((-528*x**3-528*x**2+2112*x)*ex
p(4)**16+(-1056*x**2+2112)*exp(4)**15+(-528*x+528)*exp(4)**14)*exp(5)**10+(-96*x**2+192)*exp(4)**5+(-8*x+8)*ex
p(4)**4+((-1760*x**10-14080*x**9+31680*x**8)*exp(4)**16+(-15840*x**9-110880*x**8+253440*x**7)*exp(4)**15+(-633
60*x**8-380160*x**7+887040*x**6)*exp(4)**14+(-147840*x**7-739200*x**6+1774080*x**5)*exp(4)**13+(-221760*x**6-8
87040*x**5+2217600*x**4)*exp(4)**12+(-221760*x**5-665280*x**4+1774080*x**3)*exp(4)**11+(-147840*x**4-295680*x*
*3+887040*x**2)*exp(4)**10+(-63360*x**3-63360*x**2+253440*x)*exp(4)**9+(-15840*x**2+31680)*exp(4)**8+(-1760*x+
1760)*exp(4)**7)*exp(5)**3+((-528*x**11-4752*x**10+10560*x**9)*exp(4)**16+(-5280*x**10-42240*x**9+95040*x**8)*
exp(4)**15+(-23760*x**9-166320*x**8+380160*x**7)*exp(4)**14+(-63360*x**8-380160*x**7+887040*x**6)*exp(4)**13+(
-110880*x**7-554400*x**6+1330560*x**5)*exp(4)**12+(-133056*x**6-532224*x**5+1330560*x**4)*exp(4)**11+(-110880*
x**5-332640*x**4+887040*x**3)*exp(4)**10+(-63360*x**4-126720*x**3+380160*x**2)*exp(4)**9+(-23760*x**3-23760*x*
*2+95040*x)*exp(4)**8+(-5280*x**2+10560)*exp(4)**7+(-528*x+528)*exp(4)**6)*exp(5)**2+((-96*x**12-960*x**11+211
2*x**10)*exp(4)**16+(-1056*x**11-9504*x**10+21120*x**9)*exp(4)**15+(-5280*x**10-42240*x**9+95040*x**8)*exp(4)*
*14+(-15840*x**9-110880*x**8+253440*x**7)*exp(4)**13+(-31680*x**8-190080*x**7+443520*x**6)*exp(4)**12+(-44352*
x**7-221760*x**6+532224*x**5)*exp(4)**11+(-44352*x**6-177408*x**5+443520*x**4)*exp(4)**10+(-31680*x**5-95040*x
**4+253440*x**3)*exp(4)**9+(-15840*x**4-31680*x**3+95040*x**2)*exp(4)**8+(-5280*x**3-5280*x**2+21120*x)*exp(4)
**7+(-1056*x**2+2112)*exp(4)**6+(-96*x+96)*exp(4)**5)*exp(5)+(-8*x**13-88*x**12+192*x**11)*exp(4)**16+(-96*x**
12-960*x**11+2112*x**10)*exp(4)**15+(-528*x**11-4752*x**10+10560*x**9)*exp(4)**14+(-1760*x**10-14080*x**9+3168
0*x**8)*exp(4)**13+(-3960*x**9-27720*x**8+63360*x**7)*exp(4)**12+(-6336*x**8-38016*x**7+88704*x**6)*exp(4)**11
+(-7392*x**7-36960*x**6+88704*x**5)*exp(4)**10+(-6336*x**6-25344*x**5+63360*x**4)*exp(4)**9+(-3960*x**5-11880*
x**4+31680*x**3)*exp(4)**8+(-1760*x**4-3520*x**3+10560*x**2)*exp(4)**7+(-528*x**3-528*x**2+2112*x)*exp(4)**6+(
-8*x+8)*exp(4)**16*exp(5)**12)*exp(x)+((64*x-64)*exp(4)**16+32*exp(4)**15)*exp(5)**15+((720*x**2-960*x)*exp(4)
**16+(960*x-960)*exp(4)**15+240*exp(4)**14)*exp(5)**14+((4480*x**3-6720*x**2)*exp(4)**16+(10080*x**2-13440*x)*
exp(4)**15+(6720*x-6720)*exp(4)**14+1120*exp(4)**13)*exp(5)**13+((18200*x**4-29120*x**3)*exp(4)**16+(58240*x**
3-87360*x**2)*exp(4)**15+(65520*x**2-87360*x)*exp(4)**14+(29120*x-29120)*exp(4)**13+3640*exp(4)**12)*exp(5)**1
2+((183040*x**7-320320*x**6)*exp(4)**16+(1121120*x**6-1921920*x**5)*exp(4)**15+(2882880*x**5-4804800*x**4)*exp
(4)**14+(4004000*x**4-6406400*x**3)*exp(4)**13+(3203200*x**3-4804800*x**2)*exp(4)**12+(1441440*x**2-1921920*x)
*exp(4)**11+(320320*x-320320)*exp(4)**10+22880*exp(4)**9)*exp(5)**9+((176176*x**10-320320*x**9)*exp(4)**16+(16
01600*x**9-2882880*x**8)*exp(4)**15+(6486480*x**8-11531520*x**7)*exp(4)**14+(15375360*x**7-26906880*x**6)*exp(
4)**13+(23543520*x**6-40360320*x**5)*exp(4)**12+(24216192*x**5-40360320*x**4)*exp(4)**11+(16816800*x**4-269068
80*x**3)*exp(4)**10+(7687680*x**3-11531520*x**2)*exp(4)**9+(2162160*x**2-2882880*x)*exp(4)**8+(320320*x-320320
)*exp(4)**7+16016*exp(4)**6)*exp(5)**6+((52416*x**5-87360*x**4)*exp(4)**16+(218400*x**4-349440*x**3)*exp(4)**1
5+(349440*x**3-524160*x**2)*exp(4)**14+(262080*x**2-349440*x)*exp(4)**13+(87360*x-87360)*exp(4)**12+8736*exp(4
)**11)*exp(5)**11+((112112*x**6-192192*x**5)*exp(4)**16+(576576*x**5-960960*x**4)*exp(4)**15+(1201200*x**4-192
1920*x**3)*exp(4)**14+(1281280*x**3-1921920*x**2)*exp(4)**13+(720720*x**2-960960*x)*exp(4)**12+(192192*x-19219
2)*exp(4)**11+16016*exp(4)**10)*exp(5)**10+((47320*x**12-87360*x**11)*exp(4)**16+(524160*x**11-960960*x**10)*e
xp(4)**15+(2642640*x**10-4804800*x**9)*exp(4)**14+(8008000*x**9-14414400*x**8)*exp(4)**13+(16216200*x**8-28828
800*x**7)*exp(4)**12+(23063040*x**7-40360320*x**6)*exp(4)**11+(23543520*x**6-40360320*x**5)*exp(4)**10+(172972
80*x**5-28828800*x**4)*exp(4)**9+(9009000*x**4-14414400*x**3)*exp(4)**8+(3203200*x**3-4804800*x**2)*exp(4)**7+
(720720*x**2-960960*x)*exp(4)**6+(87360*x-87360)*exp(4)**5+3640*exp(4)**4)*exp(5)**4+((231660*x**8-411840*x**7
)*exp(4)**16+(1647360*x**7-2882880*x**6)*exp(4)**15+(5045040*x**6-8648640*x**5)*exp(4)**14+(8648640*x**5-14414
400*x**4)*exp(4)**13+(9009000*x**4-14414400*x**3)*exp(4)**12+(5765760*x**3-8648640*x**2)*exp(4)**11+(2162160*x
**2-2882880*x)*exp(4)**10+(411840*x-411840)*exp(4)**9+25740*exp(4)**8)*exp(5)**8+((228800*x**9-411840*x**8)*ex
p(4)**16+(1853280*x**8-3294720*x**7)*exp(4)**15+(6589440*x**7-11531520*x**6)*exp(4)**14+(13453440*x**6-2306304
0*x**5)*exp(4)**13+(17297280*x**5-28828800*x**4)*exp(4)**12+(14414400*x**4-23063040*x**3)*exp(4)**11+(7687680*
x**3-11531520*x**2)*exp(4)**10+(2471040*x**2-3294720*x)*exp(4)**9+(411840*x-411840)*exp(4)**8+22880*exp(4)**7)
*exp(5)**7+(8*x-14)*exp(4)**16*exp(x)**4+((3600*x**14-6720*x**13)*exp(4)**16+(47040*x**13-87360*x**12)*exp(4)*
*15+(283920*x**12-524160*x**11)*exp(4)**14+(1048320*x**11-1921920*x**10)*exp(4)**13+(2642640*x**10-4804800*x**
9)*exp(4)**12+(4804800*x**9-8648640*x**8)*exp(4)**11+(6486480*x**8-11531520*x**7)*exp(4)**10+(6589440*x**7-115
31520*x**6)*exp(4)**9+(5045040*x**6-8648640*x**5)*exp(4)**8+(2882880*x**5-4804800*x**4)*exp(4)**7+(1201200*x**
4-1921920*x**3)*exp(4)**6+(349440*x**3-524160*x**2)*exp(4)**5+(65520*x**2-87360*x)*exp(4)**4+(6720*x-6720)*exp
(4)**3+240*exp(4)**2)*exp(5)**2+((104832*x**11-192192*x**10)*exp(4)**16+(1057056*x**10-1921920*x**9)*exp(4)**1
5+(4804800*x**9-8648640*x**8)*exp(4)**14+(12972960*x**8-23063040*x**7)*exp(4)**13+(23063040*x**7-40360320*x**6
)*exp(4)**12+(28252224*x**6-48432384*x**5)*exp(4)**11+(24216192*x**5-40360320*x**4)*exp(4)**10+(14414400*x**4-
23063040*x**3)*exp(4)**9+(5765760*x**3-8648640*x**2)*exp(4)**8+(1441440*x**2-1921920*x)*exp(4)**7+(192192*x-19
2192)*exp(4)**6+8736*exp(4)**5)*exp(5)**5+(231660*x**8-411840*x**7)*exp(4)**8+(183040*x**7-320320*x**6)*exp(4)
**7+(112112*x**6-192192*x**5)*exp(4)**6+(52416*x**5-87360*x**4)*exp(4)**5+(18200*x**4-29120*x**3)*exp(4)**4+(4
480*x**3-6720*x**2)*exp(4)**3+(720*x**2-960*x)*exp(4)**2+((15680*x**13-29120*x**12)*exp(4)**16+(189280*x**12-3
49440*x**11)*exp(4)**15+(1048320*x**11-1921920*x**10)*exp(4)**14+(3523520*x**10-6406400*x**9)*exp(4)**13+(8008
000*x**9-14414400*x**8)*exp(4)**12+(12972960*x**8-23063040*x**7)*exp(4)**11+(15375360*x**7-26906880*x**6)*exp(
4)**10+(13453440*x**6-23063040*x**5)*exp(4)**9+(8648640*x**5-14414400*x**4)*exp(4)**8+(4004000*x**4-6406400*x*
*3)*exp(4)**7+(1281280*x**3-1921920*x**2)*exp(4)**6+(262080*x**2-349440*x)*exp(4)**5+(29120*x-29120)*exp(4)**4
+1120*exp(4)**3)*exp(5)**3+(64*x-64)*exp(4)+((512*x**15-960*x**14)*exp(4)**16+(7200*x**14-13440*x**13)*exp(4)*
*15+(47040*x**13-87360*x**12)*exp(4)**14+(189280*x**12-349440*x**11)*exp(4)**13+(524160*x**11-960960*x**10)*ex
p(4)**12+(1057056*x**10-1921920*x**9)*exp(4)**11+(1601600*x**9-2882880*x**8)*exp(4)**10+(1853280*x**8-3294720*
x**7)*exp(4)**9+(1647360*x**7-2882880*x**6)*exp(4)**8+(1121120*x**6-1921920*x**5)*exp(4)**7+(576576*x**5-96096
0*x**4)*exp(4)**6+(218400*x**4-349440*x**3)*exp(4)**5+(58240*x**3-87360*x**2)*exp(4)**4+(10080*x**2-13440*x)*e
xp(4)**3+(960*x-960)*exp(4)**2+32*exp(4))*exp(5)+(34*x**16-64*x**15)*exp(4)**16+(512*x**15-960*x**14)*exp(4)**
15+(3600*x**14-6720*x**13)*exp(4)**14+(15680*x**13-29120*x**12)*exp(4)**13+(47320*x**12-87360*x**11)*exp(4)**1
2+(104832*x**11-192192*x**10)*exp(4)**11+(176176*x**10-320320*x**9)*exp(4)**10+(228800*x**9-411840*x**8)*exp(4
)**9)/exp(4)**16,x)
[Out]
2*x**17 + x**16*(-4*exp(4) + 32 + 32*exp(9))*exp(-4) + x**15*(-64*exp(13) - 64*exp(4) + 240 + 480*exp(9) + 240
*exp(18))*exp(-8) + x**14*(-480*exp(22) - 960*exp(13) - 480*exp(4) + 1120 + 3360*exp(9) + 3360*exp(18) + 1120*
exp(27))*exp(-12) + x**13*(-2240*exp(31) - 6720*exp(22) - 6720*exp(13) - 2240*exp(4) + 3640 + 14560*exp(9) + 2
1840*exp(18) + 14560*exp(27) + 3640*exp(36))*exp(-16) + x**12*(-7280*exp(40) - 29120*exp(31) - 43680*exp(22) -
29120*exp(13) - 7280*exp(4) + 8736 + 43680*exp(9) + 87360*exp(18) + 87360*exp(27) + 43680*exp(36) + 8736*exp(
45))*exp(-20) + x**11*(-17472*exp(49) - 87360*exp(40) - 174720*exp(31) - 174720*exp(22) - 87360*exp(13) - 1747
2*exp(4) + 16016 + 96096*exp(9) + 240240*exp(18) + 320320*exp(27) + 240240*exp(36) + 96096*exp(45) + 16016*exp
(54))*exp(-24) + x**10*(-32032*exp(58) - 192192*exp(49) - 480480*exp(40) - 640640*exp(31) - 480480*exp(22) - 1
92192*exp(13) - 32032*exp(4) + 22880 + 160160*exp(9) + 480480*exp(18) + 800800*exp(27) + 800800*exp(36) + 4804
80*exp(45) + 160160*exp(54) + 22880*exp(63))*exp(-28) + x**9*(-45760*exp(67) - 320320*exp(58) - 960960*exp(49)
- 1601600*exp(40) - 1601600*exp(31) - 960960*exp(22) - 320320*exp(13) - 45760*exp(4) + 25740 + 205920*exp(9)
+ 720720*exp(18) + 1441440*exp(27) + 1801800*exp(36) + 1441440*exp(45) + 720720*exp(54) + 205920*exp(63) + 257
40*exp(72))*exp(-32) + x**8*(-51480*exp(76) - 411840*exp(67) - 1441440*exp(58) - 2882880*exp(49) - 3603600*exp
(40) - 2882880*exp(31) - 1441440*exp(22) - 411840*exp(13) - 51480*exp(4) + 22880 + 205920*exp(9) + 823680*exp(
18) + 1921920*exp(27) + 2882880*exp(36) + 2882880*exp(45) + 1921920*exp(54) + 823680*exp(63) + 205920*exp(72)
+ 22880*exp(81))*exp(-36) + x**7*(-45760*exp(85) - 411840*exp(76) - 1647360*exp(67) - 3843840*exp(58) - 576576
0*exp(49) - 5765760*exp(40) - 3843840*exp(31) - 1647360*exp(22) - 411840*exp(13) - 45760*exp(4) + 16016 + 1601
60*exp(9) + 720720*exp(18) + 1921920*exp(27) + 3363360*exp(36) + 4036032*exp(45) + 3363360*exp(54) + 1921920*e
xp(63) + 720720*exp(72) + 160160*exp(81) + 16016*exp(90))*exp(-40) + x**6*(-32032*exp(94) - 320320*exp(85) - 1
441440*exp(76) - 3843840*exp(67) - 6726720*exp(58) - 8072064*exp(49) - 6726720*exp(40) - 3843840*exp(31) - 144
1440*exp(22) - 320320*exp(13) - 32032*exp(4) + 8736 + 96096*exp(9) + 480480*exp(18) + 1441440*exp(27) + 288288
0*exp(36) + 4036032*exp(45) + 4036032*exp(54) + 2882880*exp(63) + 1441440*exp(72) + 480480*exp(81) + 96096*exp
(90) + 8736*exp(99))*exp(-44) + x**5*(-17472*exp(103) - 192192*exp(94) - 960960*exp(85) - 2882880*exp(76) - 57
65760*exp(67) - 8072064*exp(58) - 8072064*exp(49) - 5765760*exp(40) - 2882880*exp(31) - 960960*exp(22) - 19219
2*exp(13) - 17472*exp(4) + 3640 + 43680*exp(9) + 240240*exp(18) + 800800*exp(27) + 1801800*exp(36) + 2882880*e
xp(45) + 3363360*exp(54) + 2882880*exp(63) + 1801800*exp(72) + 800800*exp(81) + 240240*exp(90) + 43680*exp(99)
+ 3640*exp(108))*exp(-48) + x**4*(-7280*exp(112) - 87360*exp(103) - 480480*exp(94) - 1601600*exp(85) - 360360
0*exp(76) - 5765760*exp(67) - 6726720*exp(58) - 5765760*exp(49) - 3603600*exp(40) - 1601600*exp(31) - 480480*e
xp(22) - 87360*exp(13) - 7280*exp(4) + 1120 + 14560*exp(9) + 87360*exp(18) + 320320*exp(27) + 800800*exp(36) +
1441440*exp(45) + 1921920*exp(54) + 1921920*exp(63) + 1441440*exp(72) + 800800*exp(81) + 320320*exp(90) + 873
60*exp(99) + 14560*exp(108) + 1120*exp(117))*exp(-52) + x**3*(-2240*exp(121) - 29120*exp(112) - 174720*exp(103
) - 640640*exp(94) - 1601600*exp(85) - 2882880*exp(76) - 3843840*exp(67) - 3843840*exp(58) - 2882880*exp(49) -
1601600*exp(40) - 640640*exp(31) - 174720*exp(22) - 29120*exp(13) - 2240*exp(4) + 240 + 3360*exp(9) + 21840*e
xp(18) + 87360*exp(27) + 240240*exp(36) + 480480*exp(45) + 720720*exp(54) + 823680*exp(63) + 720720*exp(72) +
480480*exp(81) + 240240*exp(90) + 87360*exp(99) + 21840*exp(108) + 3360*exp(117) + 240*exp(126))*exp(-56) + x*
*2*(-480*exp(130) - 6720*exp(121) - 43680*exp(112) - 174720*exp(103) - 480480*exp(94) - 960960*exp(85) - 14414
40*exp(76) - 1647360*exp(67) - 1441440*exp(58) - 960960*exp(49) - 480480*exp(40) - 174720*exp(31) - 43680*exp(
22) - 6720*exp(13) - 480*exp(4) + 32 + 480*exp(9) + 3360*exp(18) + 14560*exp(27) + 43680*exp(36) + 96096*exp(4
5) + 160160*exp(54) + 205920*exp(63) + 205920*exp(72) + 160160*exp(81) + 96096*exp(90) + 43680*exp(99) + 14560
*exp(108) + 3360*exp(117) + 480*exp(126) + 32*exp(135))*exp(-60) + x*(-64*exp(139) - 960*exp(130) - 6720*exp(1
21) - 29120*exp(112) - 87360*exp(103) - 192192*exp(94) - 320320*exp(85) - 411840*exp(76) - 411840*exp(67) - 32
0320*exp(58) - 192192*exp(49) - 87360*exp(40) - 29120*exp(31) - 6720*exp(22) - 960*exp(13) - 64*exp(4) + 2 + 3
2*exp(9) + 240*exp(18) + 1120*exp(27) + 3640*exp(36) + 8736*exp(45) + 16016*exp(54) + 22880*exp(63) + 25740*ex
p(72) + 22880*exp(81) + 16016*exp(90) + 8736*exp(99) + 3640*exp(108) + 1120*exp(117) + 240*exp(126) + 32*exp(1
35) + 2*exp(144))*exp(-64) + ((2*x*exp(96) - 4*exp(96))*exp(4*x) + (-8*x**5*exp(96) - 32*x**4*exp(101) - 32*x*
*4*exp(92) + 16*x**4*exp(96) - 48*x**3*exp(106) - 96*x**3*exp(97) - 48*x**3*exp(88) + 64*x**3*exp(92) + 64*x**
3*exp(101) - 32*x**2*exp(111) - 96*x**2*exp(102) - 96*x**2*exp(93) - 32*x**2*exp(84) + 96*x**2*exp(88) + 192*x
**2*exp(97) + 96*x**2*exp(106) - 8*x*exp(116) - 32*x*exp(107) - 48*x*exp(98) - 32*x*exp(89) - 8*x*exp(80) + 64
*x*exp(84) + 192*x*exp(93) + 192*x*exp(102) + 64*x*exp(111) + 16*exp(80) + 64*exp(89) + 96*exp(98) + 64*exp(10
7) + 16*exp(116))*exp(3*x) + (12*x**9*exp(96) - 24*x**8*exp(96) + 96*x**8*exp(92) + 96*x**8*exp(101) - 192*x**
7*exp(101) - 192*x**7*exp(92) + 336*x**7*exp(88) + 672*x**7*exp(97) + 336*x**7*exp(106) - 672*x**6*exp(106) -
1344*x**6*exp(97) - 672*x**6*exp(88) + 672*x**6*exp(84) + 2016*x**6*exp(93) + 2016*x**6*exp(102) + 672*x**6*ex
p(111) - 1344*x**5*exp(111) - 4032*x**5*exp(102) - 4032*x**5*exp(93) - 1344*x**5*exp(84) + 840*x**5*exp(80) +
3360*x**5*exp(89) + 5040*x**5*exp(98) + 3360*x**5*exp(107) + 840*x**5*exp(116) - 1680*x**4*exp(116) - 6720*x**
4*exp(107) - 10080*x**4*exp(98) - 6720*x**4*exp(89) - 1680*x**4*exp(80) + 672*x**4*exp(76) + 3360*x**4*exp(85)
+ 6720*x**4*exp(94) + 6720*x**4*exp(103) + 3360*x**4*exp(112) + 672*x**4*exp(121) - 1344*x**3*exp(121) - 6720
*x**3*exp(112) - 13440*x**3*exp(103) - 13440*x**3*exp(94) - 6720*x**3*exp(85) - 1344*x**3*exp(76) + 336*x**3*e
xp(72) + 2016*x**3*exp(81) + 5040*x**3*exp(90) + 6720*x**3*exp(99) + 5040*x**3*exp(108) + 2016*x**3*exp(117) +
336*x**3*exp(126) - 672*x**2*exp(126) - 4032*x**2*exp(117) - 10080*x**2*exp(108) - 13440*x**2*exp(99) - 10080
*x**2*exp(90) - 4032*x**2*exp(81) - 672*x**2*exp(72) + 96*x**2*exp(68) + 672*x**2*exp(77) + 2016*x**2*exp(86)
+ 3360*x**2*exp(95) + 3360*x**2*exp(104) + 2016*x**2*exp(113) + 672*x**2*exp(122) + 96*x**2*exp(131) - 192*x*e
xp(131) - 1344*x*exp(122) - 4032*x*exp(113) - 6720*x*exp(104) - 6720*x*exp(95) - 4032*x*exp(86) - 1344*x*exp(7
7) - 192*x*exp(68) + 12*x*exp(64) + 96*x*exp(73) + 336*x*exp(82) + 672*x*exp(91) + 840*x*exp(100) + 672*x*exp(
109) + 336*x*exp(118) + 96*x*exp(127) + 12*x*exp(136) - 24*exp(136) - 192*exp(127) - 672*exp(118) - 1344*exp(1
09) - 1680*exp(100) - 1344*exp(91) - 672*exp(82) - 192*exp(73) - 24*exp(64))*exp(2*x) + (-8*x**13*exp(96) - 96
*x**12*exp(101) - 96*x**12*exp(92) + 16*x**12*exp(96) - 528*x**11*exp(106) - 1056*x**11*exp(97) - 528*x**11*ex
p(88) + 192*x**11*exp(92) + 192*x**11*exp(101) - 1760*x**10*exp(111) - 5280*x**10*exp(102) - 5280*x**10*exp(93
) - 1760*x**10*exp(84) + 1056*x**10*exp(88) + 2112*x**10*exp(97) + 1056*x**10*exp(106) - 3960*x**9*exp(116) -
15840*x**9*exp(107) - 23760*x**9*exp(98) - 15840*x**9*exp(89) - 3960*x**9*exp(80) + 3520*x**9*exp(84) + 10560*
x**9*exp(93) + 10560*x**9*exp(102) + 3520*x**9*exp(111) - 6336*x**8*exp(121) - 31680*x**8*exp(112) - 63360*x**
8*exp(103) - 63360*x**8*exp(94) - 31680*x**8*exp(85) - 6336*x**8*exp(76) + 7920*x**8*exp(80) + 31680*x**8*exp(
89) + 47520*x**8*exp(98) + 31680*x**8*exp(107) + 7920*x**8*exp(116) - 7392*x**7*exp(126) - 44352*x**7*exp(117)
- 110880*x**7*exp(108) - 147840*x**7*exp(99) - 110880*x**7*exp(90) - 44352*x**7*exp(81) - 7392*x**7*exp(72) +
12672*x**7*exp(76) + 63360*x**7*exp(85) + 126720*x**7*exp(94) + 126720*x**7*exp(103) + 63360*x**7*exp(112) +
12672*x**7*exp(121) - 6336*x**6*exp(131) - 44352*x**6*exp(122) - 133056*x**6*exp(113) - 221760*x**6*exp(104) -
221760*x**6*exp(95) - 133056*x**6*exp(86) - 44352*x**6*exp(77) - 6336*x**6*exp(68) + 14784*x**6*exp(72) + 887
04*x**6*exp(81) + 221760*x**6*exp(90) + 295680*x**6*exp(99) + 221760*x**6*exp(108) + 88704*x**6*exp(117) + 147
84*x**6*exp(126) - 3960*x**5*exp(136) - 31680*x**5*exp(127) - 110880*x**5*exp(118) - 221760*x**5*exp(109) - 27
7200*x**5*exp(100) - 221760*x**5*exp(91) - 110880*x**5*exp(82) - 31680*x**5*exp(73) - 3960*x**5*exp(64) + 1267
2*x**5*exp(68) + 88704*x**5*exp(77) + 266112*x**5*exp(86) + 443520*x**5*exp(95) + 443520*x**5*exp(104) + 26611
2*x**5*exp(113) + 88704*x**5*exp(122) + 12672*x**5*exp(131) - 1760*x**4*exp(141) - 15840*x**4*exp(132) - 63360
*x**4*exp(123) - 147840*x**4*exp(114) - 221760*x**4*exp(105) - 221760*x**4*exp(96) - 147840*x**4*exp(87) - 633
60*x**4*exp(78) - 15840*x**4*exp(69) - 1760*x**4*exp(60) + 7920*x**4*exp(64) + 63360*x**4*exp(73) + 221760*x**
4*exp(82) + 443520*x**4*exp(91) + 554400*x**4*exp(100) + 443520*x**4*exp(109) + 221760*x**4*exp(118) + 63360*x
**4*exp(127) + 7920*x**4*exp(136) - 528*x**3*exp(146) - 5280*x**3*exp(137) - 23760*x**3*exp(128) - 63360*x**3*
exp(119) - 110880*x**3*exp(110) - 133056*x**3*exp(101) - 110880*x**3*exp(92) - 63360*x**3*exp(83) - 23760*x**3
*exp(74) - 5280*x**3*exp(65) - 528*x**3*exp(56) + 3520*x**3*exp(60) + 31680*x**3*exp(69) + 126720*x**3*exp(78)
+ 295680*x**3*exp(87) + 443520*x**3*exp(96) + 443520*x**3*exp(105) + 295680*x**3*exp(114) + 126720*x**3*exp(1
23) + 31680*x**3*exp(132) + 3520*x**3*exp(141) - 96*x**2*exp(151) - 1056*x**2*exp(142) - 5280*x**2*exp(133) -
15840*x**2*exp(124) - 31680*x**2*exp(115) - 44352*x**2*exp(106) - 44352*x**2*exp(97) - 31680*x**2*exp(88) - 15
840*x**2*exp(79) - 5280*x**2*exp(70) - 1056*x**2*exp(61) - 96*x**2*exp(52) + 1056*x**2*exp(56) + 10560*x**2*ex
p(65) + 47520*x**2*exp(74) + 126720*x**2*exp(83) + 221760*x**2*exp(92) + 266112*x**2*exp(101) + 221760*x**2*ex
p(110) + 126720*x**2*exp(119) + 47520*x**2*exp(128) + 10560*x**2*exp(137) + 1056*x**2*exp(146) - 8*x*exp(156)
- 96*x*exp(147) - 528*x*exp(138) - 1760*x*exp(129) - 3960*x*exp(120) - 6336*x*exp(111) - 7392*x*exp(102) - 633
6*x*exp(93) - 3960*x*exp(84) - 1760*x*exp(75) - 528*x*exp(66) - 96*x*exp(57) - 8*x*exp(48) + 192*x*exp(52) + 2
112*x*exp(61) + 10560*x*exp(70) + 31680*x*exp(79) + 63360*x*exp(88) + 88704*x*exp(97) + 88704*x*exp(106) + 633
60*x*exp(115) + 31680*x*exp(124) + 10560*x*exp(133) + 2112*x*exp(142) + 192*x*exp(151) + 16*exp(48) + 192*exp(
57) + 1056*exp(66) + 3520*exp(75) + 7920*exp(84) + 12672*exp(93) + 14784*exp(102) + 12672*exp(111) + 7920*exp(
120) + 3520*exp(129) + 1056*exp(138) + 192*exp(147) + 16*exp(156))*exp(x))*exp(-96)
________________________________________________________________________________________