3.2.70 \(\int \frac {e^{\frac {8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}[phone] x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34})}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}[phone] x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx\) [170]

3.2.70.1 Optimal result

Integrand size = 354, antiderivative size = 19 \[ \int \frac {e^{\frac {8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} \left (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}[phone] x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34}\right )}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}[phone] x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx=3 e^{2-x-\frac {x^{34}}{(-4+x)^{16}}} \]

output

3*exp(2-x-x^34/(x-4)^16)
 

3.2.70.2 Mathematica [B] (verified)

Leaf count is larger than twice the leaf count of optimal. \(97\) vs. \(2(19)=38\).

Time = 0.40 (sec) , antiderivative size = 97, normalized size of antiderivative = 5.11 \[ \int \frac {e^{\frac {8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} \left (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}[phone] x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34}\right )}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}[phone] x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx=3 e^{-\frac {-8589934592+38654705664 x-81604378624 x^2+107374182400 x^3-98650030080 x^4+67175972864 x^5-35114713088 x^6+14394851328 x^7-4685824000 x^8+1218314240 x^9-253034496 x^{10}[phone] x^{11}-5404672 x^{12}+537600 x^{13}-39680 x^{14}+2048 x^{15}-66 x^{16}+x^{17}+x^{34}}{(-4+x)^{16}}} \]

input

Integrate[(E^((8589934592 - 38654705664*x + 81604378624*x^2 - 107374182400 
*x^3 + 98650030080*x^4 - 67175972864*x^5 + 35114713088*x^6 - 14394851328*x 
^7 + 4685824000*x^8 - 1218314240*x^9 + 253034496*x^10 - 41746432*x^11 + 54 
04672*x^12 - 537600*x^13 + 39680*x^14 - 2048*x^15 + 66*x^16 - x^17 - x^34) 
/(4294967296 - 17179869184*x + 32212254720*x^2 - 37580963840*x^3 + 3053453 
3120*x^4 - 18320719872*x^5 + 8396996608*x^6 - 2998927360*x^7 + 843448320*x 
^8 - 187432960*x^9 + 32800768*x^10 - 4472832*x^11 + 465920*x^12 - 35840*x^ 
13 + 1920*x^14 - 64*x^15 + x^16))*(51539607552 - 219043332096*x + 43808666 
4192*x^2 - 547608330240*x^3 + 479157288960*x^4 - 311452237824*x^5 + 155726 
118912*x^6 - 61178118144*x^7 + 19118161920*x^8 - 4779540480*x^9 + 95590809 
6*x^10 - 152076288*x^11 + 19009536*x^12 - 1827840*x^13 + 130560*x^14 - 652 
8*x^15 + 204*x^16 - 3*x^17 + 408*x^33 - 54*x^34))/(-17179869184 + 73014444 
032*x - 146028888064*x^2 + 182536110080*x^3 - 159719096320*x^4 + 103817412 
608*x^5 - 51908706304*x^6 + 20392706048*x^7 - 6372720640*x^8 + 1593180160* 
x^9 - 318636032*x^10 + 50692096*x^11 - 6336512*x^12 + 609280*x^13 - 43520* 
x^14 + 2176*x^15 - 68*x^16 + x^17),x]
 

output

3/E^((-8589934592 + 38654705664*x - 81604378624*x^2 + 107374182400*x^3 - 9 
8650030080*x^4 + 67175972864*x^5 - 35114713088*x^6 + 14394851328*x^7 - 468 
5824000*x^8 + 1218314240*x^9 - 253034496*x^10 + 41746432*x^11 - 5404672*x^ 
12 + 537600*x^13 - 39680*x^14 + 2048*x^15 - 66*x^16 + x^17 + x^34)/(-4 + x 
)^16)
 

3.2.70.3 Rubi [F]

Below are the steps used by Rubi to obtain the solution. The rule number used for the transformation is given above next to the arrow. The rules definitions used are listed below.

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

\(\Big \downarrow \) 2007

\(\displaystyle \int \frac {\left (-54 x^{34}+408 x^{33}-3 x^{17}+204 x^{16}-6528 x^{15}+130560 x^{14}-1827840 x^{13}[phone] x^{12}-152076288 x^{11}[phone] x^{10}-4779540480 x^9+19118161920 x^8-61178118144 x^7+155726118912 x^6-311452237824 x^5+479157288960 x^4-547608330240 x^3+438086664192 x^2-219043332096 x+51539607552\right ) \exp \left (\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{x^{16}-64 x^{15}+1920 x^{14}-35840 x^{13}+465920 x^{12}-4472832 x^{11}[phone] x^{10}-187432960 x^9+843448320 x^8-2998927360 x^7+8396996608 x^6-18320719872 x^5+30534533120 x^4-37580963840 x^3+32212254720 x^2-17179869184 x+4294967296}\right )}{(x-4)^{17}}dx\)

\(\Big \downarrow \) 7292

\(\displaystyle \int \frac {3 \left (18 x^{34}-136 x^{33}+x^{17}-68 x^{16}+2176 x^{15}-43520 x^{14}+609280 x^{13}-6336512 x^{12}[phone] x^{11}-318636032 x^{10}[phone] x^9-6372720640 x^8+20392706048 x^7-51908706304 x^6+103817412608 x^5-159719096320 x^4+182536110080 x^3-146028888064 x^2+73014444032 x-17179869184\right ) \exp \left (\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(x-4)^{16}}\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 27

\(\displaystyle 3 \int -\frac {\exp \left (\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 25

\(\displaystyle -3 \int \frac {\exp \left (\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^{17}+1088 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^{16}+34816 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^{15}+783360 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^{14}[phone] e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^{13}[phone] e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^{12}[phone] e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^{11}[phone] e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^{10}[phone] e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^9+3084788957184 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^8+27420346286080 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^7+226841046548480 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^6+1749916644802560 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^5+12563504116531200 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^4+83278084429578240 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^3+499668506577469440 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x^2+2581620617316925440 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}} x+9719042324016660481 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}-\frac {510164467253646458880 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{\frac {-x^{34}-x^{17}+66 x^{16}-2048 x^{15}+39680 x^{14}-537600 x^{13}+5404672 x^{12}-41746432 x^{11}[phone] x^{10}-1218314240 x^9+4685824000 x^8-14394851328 x^7+35114713088 x^6-67175972864 x^5+98650030080 x^4-107374182400 x^3+81604378624 x^2-38654705664 x+8589934592}{(4-x)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle -3 \int \left (18 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{17}+1088 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{16}+34816 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{15}+783360 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{14}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{13}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{12}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{11}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^{10}[phone] e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^9+3084788957184 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^8+27420346286080 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^7+226841046548480 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^6+1749916644802560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^5+12563504116531200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^4+83278084429578240 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^3+499668506577469440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x^2+2581620617316925440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}} x+9719042324016660481 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}-\frac {510164467253646458880 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^2}-\frac {3060986803521878753280 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^3}-\frac {12243947214087515013120 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^4}-\frac {38586985159548532162560 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^5}-\frac {100661700416213562163200 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^6}-\frac {221455740915669836759040 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^7}-\frac {413384049709250361950208 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^8}-\frac {654146188550901671657472 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^9}-\frac {872194918067868895543296 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{10}}-\frac {969105464519854328381440 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{11}}-\frac {882220147011177733423104 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{12}}-\frac {641614652371765624307712 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{13}}-\frac {358752278745503359827968 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{14}}-\frac {144880727954914818392064 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{15}}-\frac {37631357910367485296640 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{16}}-\frac {4722366482869645213696 e^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}}}{(x-4)^{17}}\right )dx\)

\(\Big \downarrow \) 7239

\(\displaystyle -3 \int \frac {\exp \left (-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right ) \left (-18 x^{34}+136 x^{33}-x^{17}+68 x^{16}-2176 x^{15}+43520 x^{14}-609280 x^{13}+6336512 x^{12}-50692096 x^{11}[phone] x^{10}-1593180160 x^9+6372720640 x^8-20392706048 x^7+51908706304 x^6-103817412608 x^5+159719096320 x^4-182536110080 x^3+146028888064 x^2-73014444032 x+17179869184\right )}{(4-x)^{17}}dx\)

input

Int[(E^((8589934592 - 38654705664*x + 81604378624*x^2 - 107374182400*x^3 + 
 98650030080*x^4 - 67175972864*x^5 + 35114713088*x^6 - 14394851328*x^7 + 4 
685824000*x^8 - 1218314240*x^9 + 253034496*x^10 - 41746432*x^11 + 5404672* 
x^12 - 537600*x^13 + 39680*x^14 - 2048*x^15 + 66*x^16 - x^17 - x^34)/(4294 
967296 - 17179869184*x + 32212254720*x^2 - 37580963840*x^3 + 30534533120*x 
^4 - 18320719872*x^5 + 8396996608*x^6 - 2998927360*x^7 + 843448320*x^8 - 1 
87432960*x^9 + 32800768*x^10 - 4472832*x^11 + 465920*x^12 - 35840*x^13 + 1 
920*x^14 - 64*x^15 + x^16))*(51539607552 - 219043332096*x + 438086664192*x 
^2 - 547608330240*x^3 + 479157288960*x^4 - 311452237824*x^5 + 155726118912 
*x^6 - 61178118144*x^7 + 19118161920*x^8 - 4779540480*x^9 + 955908096*x^10 
 - 152076288*x^11 + 19009536*x^12 - 1827840*x^13 + 130560*x^14 - 6528*x^15 
 + 204*x^16 - 3*x^17 + 408*x^33 - 54*x^34))/(-17179869184 + 73014444032*x 
- 146028888064*x^2 + 182536110080*x^3 - 159719096320*x^4 + 103817412608*x^ 
5 - 51908706304*x^6 + 20392706048*x^7 - 6372720640*x^8 + 1593180160*x^9 - 
318636032*x^10 + 50692096*x^11 - 6336512*x^12 + 609280*x^13 - 43520*x^14 + 
 2176*x^15 - 68*x^16 + x^17),x]
 

output

$Aborted
 

3.2.70.3.1 Defintions of rubi rules used

rule 25

Int[-(Fx_), x_Symbol] :> Simp[Identity[-1]   Int[Fx, x], x]
 

rule 27

Int[(a_)*(Fx_), x_Symbol] :> Simp[a   Int[Fx, x], x] /; FreeQ[a, x] &&  !Ma 
tchQ[Fx, (b_)*(Gx_) /; FreeQ[b, x]]
 

rule 2007

Int[(u_.)*(Px_)^(p_), x_Symbol] :> With[{a = Rt[Coeff[Px, x, 0], Expon[Px, 
x]], b = Rt[Coeff[Px, x, Expon[Px, x]], Expon[Px, x]]}, Int[u*(a + b*x)^(Ex 
pon[Px, x]*p), x] /; EqQ[Px, (a + b*x)^Expon[Px, x]]] /; IntegerQ[p] && Pol 
yQ[Px, x] && GtQ[Expon[Px, x], 1] && NeQ[Coeff[Px, x, 0], 0]
 

rule 7239

Int[u_, x_Symbol] :> With[{v = SimplifyIntegrand[u, x]}, Int[v, x] /; Simpl 
erIntegrandQ[v, u, x]]
 

rule 7292

Int[u_, x_Symbol] :> With[{v = NormalizeIntegrand[u, x]}, Int[v, x] /; v =! 
= u]
 

rule 7293

Int[u_, x_Symbol] :> With[{v = ExpandIntegrand[u, x]}, Int[v, x] /; SumQ[v] 
]
 

3.2.70.4 Maple [B] (verified)

Leaf count of result is larger than twice the leaf count of optimal. \(171\) vs. \(2(18)=36\).

Time = 0.39 (sec) , antiderivative size = 172, normalized size of antiderivative = 9.05

\[3 \,{\mathrm e}^{-\frac {x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}[phone] x^{11}-253034496 x^{10}[phone] x^{9}-4685824000 x^{8}[phone] x^{7}-35114713088 x^{6}[phone] x^{5}-98650030080 x^{4}[phone] x^{3}-81604378624 x^{2}[phone] x -8589934592}{x^{16}-64 x^{15}+1920 x^{14}-35840 x^{13}+465920 x^{12}-4472832 x^{11}[phone] x^{10}-187432960 x^{9}[phone] x^{8}-2998927360 x^{7}[phone] x^{6}-18320719872 x^{5}[phone] x^{4}-37580963840 x^{3}[phone] x^{2}-17179869184 x [phone]}}\]

input

int((-54*x^34+408*x^33-3*x^17+204*x^16-6528*x^15+130560*x^14-1827840*x^13+ 
19009536*x^12-152076288*x^11+955908096*x^10-4779540480*x^9+19118161920*x^8 
-61178118144*x^7+155726118912*x^6-311452237824*x^5+479157288960*x^4-547608 
330240*x^3+438086664192*x^2-219043332096*x[phone])*exp((-x^34-x^17+66 
*x^16-2048*x^15+39680*x^14-537600*x^13+5404672*x^12-41746432*x^11+25303449 
6*x^10-1218314240*x^9+4685824000*x^8-14394851328*x^7+35114713088*x^6-67175 
972864*x^5+98650030080*x^4-107374182400*x^3+81604378624*x^2-38654705664*x+ 
8589934592)/(x^16-64*x^15+1920*x^14-35840*x^13+465920*x^12-4472832*x^11+32 
800768*x^10-187432960*x^9+843448320*x^8-2998927360*x^7+8396996608*x^6-1832 
0719872*x^5+30534533120*x^4-37580963840*x^3+32212254720*x^2-17179869184*x+ 
4294967296))/(x^17-68*x^16+2176*x^15-43520*x^14+609280*x^13-6336512*x^12+5 
0692096*x^11-318636032*x^10+1593180160*x^9-6372720640*x^8+20392706048*x^7- 
51908706304*x^6+103817412608*x^5-159719096320*x^4+182536110080*x^3-1460288 
88064*x^2+73014444032*x-17179869184),x)
 

output

3*exp(-(x^34+x^17-66*x^16+2048*x^15-39680*x^14+537600*x^13-5404672*x^12+41 
746432*x^11-253034496*x^10+1218314240*x^9-4685824000*x^8+14394851328*x^7-3 
5114713088*x^6+67175972864*x^5-98650030080*x^4+107374182400*x^3-8160437862 
4*x^2+38654705664*x-8589934592)/(x^16-64*x^15+1920*x^14-35840*x^13+465920* 
x^12-4472832*x^11+32800768*x^10-187432960*x^9+843448320*x^8-2998927360*x^7 
[phone]*x^6-18320719872*x^5+30534533120*x^4-37580963840*x^3+3221225472 
0*x^2-17179869184*x[phone]))
 

3.2.70.5 Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 171 vs. \(2 (18) = 36\).

Time = 0.29 (sec) , antiderivative size = 171, normalized size of antiderivative = 9.00 \[ \int \frac {e^{\frac {8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} \left (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}[phone] x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34}\right )}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}[phone] x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx=3 \, e^{\left (-\frac {x^{34} + x^{17} - 66 \, x^{16} + 2048 \, x^{15} - 39680 \, x^{14} + 537600 \, x^{13} - 5404672 \, x^{12} + 41746432 \, x^{11} - 253034496 \, x^{10} + 1218314240 \, x^{9} - 4685824000 \, x^{8} + 14394851328 \, x^{7} - 35114713088 \, x^{6} + 67175972864 \, x^{5} - 98650030080 \, x^{4} + 107374182400 \, x^{3} - 81604378624 \, x^{2} + 38654705664 \, x - 8589934592}{x^{16} - 64 \, x^{15} + 1920 \, x^{14} - 35840 \, x^{13} + 465920 \, x^{12} - 4472832 \, x^{11} + 32800768 \, x^{10} - 187432960 \, x^{9} + 843448320 \, x^{8} - 2998927360 \, x^{7} + 8396996608 \, x^{6} - 18320719872 \, x^{5} + 30534533120 \, x^{4} - 37580963840 \, x^{3} + 32212254720 \, x^{2} - 17179869184 \, x + 4294967296}\right )} \]

input

integrate((-54*x^34+408*x^33-3*x^17+204*x^16-6528*x^15+130560*x^14-1827840 
*x^13+19009536*x^12-152076288*x^11+955908096*x^10-4779540480*x^9+191181619 
20*x^8-61178118144*x^7+155726118912*x^6-311452237824*x^5+479157288960*x^4- 
547608330240*x^3+438086664192*x^2-219043332096*x[phone])*exp((-x^34-x 
^17+66*x^16-2048*x^15+39680*x^14-537600*x^13+5404672*x^12-41746432*x^11+25 
3034496*x^10-1218314240*x^9+4685824000*x^8-14394851328*x^7+35114713088*x^6 
-67175972864*x^5+98650030080*x^4-107374182400*x^3+81604378624*x^2-38654705 
664*x[phone])/(x^16-64*x^15+1920*x^14-35840*x^13+465920*x^12-4472832*x 
^11+32800768*x^10-187432960*x^9+843448320*x^8-2998927360*x^7+8396996608*x^ 
6-18320719872*x^5+30534533120*x^4-37580963840*x^3+32212254720*x^2-17179869 
184*x[phone]))/(x^17-68*x^16+2176*x^15-43520*x^14+609280*x^13-6336512* 
x^12+50692096*x^11-318636032*x^10+1593180160*x^9-6372720640*x^8+2039270604 
8*x^7-51908706304*x^6+103817412608*x^5-159719096320*x^4+182536110080*x^3-1 
46028888064*x^2+73014444032*x-17179869184),x, algorithm=\
 

output

3*e^(-(x^34 + x^17 - 66*x^16 + 2048*x^15 - 39680*x^14 + 537600*x^13 - 5404 
672*x^12 + 41746432*x^11 - 253034496*x^10 + 1218314240*x^9 - 4685824000*x^ 
8 + 14394851328*x^7 - 35114713088*x^6 + 67175972864*x^5 - 98650030080*x^4 
+ 107374182400*x^3 - 81604378624*x^2 + 38654705664*x - 8589934592)/(x^16 - 
 64*x^15 + 1920*x^14 - 35840*x^13 + 465920*x^12 - 4472832*x^11 + 32800768* 
x^10 - 187432960*x^9 + 843448320*x^8 - 2998927360*x^7 + 8396996608*x^6 - 1 
8320719872*x^5 + 30534533120*x^4 - 37580963840*x^3 + 32212254720*x^2 - 171 
79869184*x + 4294967296))
 

3.2.70.6 Sympy [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 170 vs. \(2 (14) = 28\).

Time = 1.60 (sec) , antiderivative size = 170, normalized size of antiderivative = 8.95 \[ \int \frac {e^{\frac {8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} \left (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}[phone] x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34}\right )}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}[phone] x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx=3 e^{\frac {- x^{34} - x^{17} + 66 x^{16} - 2048 x^{15} + 39680 x^{14} - 537600 x^{13} + 5404672 x^{12} - 41746432 x^{11} + 253034496 x^{10} - 1218314240 x^{9} + 4685824000 x^{8} - 14394851328 x^{7} + 35114713088 x^{6} - 67175972864 x^{5} + 98650030080 x^{4} - 107374182400 x^{3} + 81604378624 x^{2} - 38654705664 x + 8589934592}{x^{16} - 64 x^{15} + 1920 x^{14} - 35840 x^{13} + 465920 x^{12} - 4472832 x^{11} + 32800768 x^{10} - 187432960 x^{9} + 843448320 x^{8} - 2998927360 x^{7} + 8396996608 x^{6} - 18320719872 x^{5} + 30534533120 x^{4} - 37580963840 x^{3} + 32212254720 x^{2} - 17179869184 x + 4294967296}} \]

input

integrate((-54*x**34+408*x**33-3*x**17+204*x**16-6528*x**15+130560*x**14-1 
827840*x**13+19009536*x**12-152076288*x**11+955908096*x**10-4779540480*x** 
9+19118161920*x**8-61178118144*x**7+155726118912*x**6-311452237824*x**5+47 
9157288960*x**4-547608330240*x**3+438086664192*x**2-219043332096*x+5153960 
7552)*exp((-x**34-x**17+66*x**16-2048*x**15+39680*x**14-537600*x**13+54046 
72*x**12-41746432*x**11+253034496*x**10-1218314240*x**9+4685824000*x**8-14 
394851328*x**7+35114713088*x**6-67175972864*x**5+98650030080*x**4-10737418 
2400*x**3+81604378624*x**2-38654705664*x[phone])/(x**16-64*x**15+1920* 
x**14-35840*x**13+465920*x**12-4472832*x**11+32800768*x**10-187432960*x**9 
[phone]*x**8-2998927360*x**7+8396996608*x**6-18320719872*x**5+305345331 
20*x**4-37580963840*x**3+32212254720*x**2-17179869184*x[phone]))/(x**1 
7-68*x**16+2176*x**15-43520*x**14+609280*x**13-6336512*x**12+50692096*x**1 
1-318636032*x**10+1593180160*x**9-6372720640*x**8+20392706048*x**7-5190870 
6304*x**6+103817412608*x**5-159719096320*x**4+182536110080*x**3-1460288880 
64*x**2+73014444032*x-17179869184),x)
 

output

3*exp((-x**34 - x**17 + 66*x**16 - 2048*x**15 + 39680*x**14 - 537600*x**13 
 + 5404672*x**12 - 41746432*x**11 + 253034496*x**10 - 1218314240*x**9 + 46 
85824000*x**8 - 14394851328*x**7 + 35114713088*x**6 - 67175972864*x**5 + 9 
8650030080*x**4 - 107374182400*x**3 + 81604378624*x**2 - 38654705664*x + 8 
589934592)/(x**16 - 64*x**15 + 1920*x**14 - 35840*x**13 + 465920*x**12 - 4 
472832*x**11 + 32800768*x**10 - 187432960*x**9 + 843448320*x**8 - 29989273 
60*x**7 + 8396996608*x**6 - 18320719872*x**5 + 30534533120*x**4 - 37580963 
840*x**3 + 32212254720*x**2 - 17179869184*x + 4294967296))
 

3.2.70.7 Maxima [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 805 vs. \(2 (18) = 36\).

Time = 15.18 (sec) , antiderivative size = 805, normalized size of antiderivative = 42.37 \[ \int \frac {e^{\frac {8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} \left (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}[phone] x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34}\right )}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}[phone] x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx=\text {Too large to display} \]

input

integrate((-54*x^34+408*x^33-3*x^17+204*x^16-6528*x^15+130560*x^14-1827840 
*x^13+19009536*x^12-152076288*x^11+955908096*x^10-4779540480*x^9+191181619 
20*x^8-61178118144*x^7+155726118912*x^6-311452237824*x^5+479157288960*x^4- 
547608330240*x^3+438086664192*x^2-219043332096*x[phone])*exp((-x^34-x 
^17+66*x^16-2048*x^15+39680*x^14-537600*x^13+5404672*x^12-41746432*x^11+25 
3034496*x^10-1218314240*x^9+4685824000*x^8-14394851328*x^7+35114713088*x^6 
-67175972864*x^5+98650030080*x^4-107374182400*x^3+81604378624*x^2-38654705 
664*x[phone])/(x^16-64*x^15+1920*x^14-35840*x^13+465920*x^12-4472832*x 
^11+32800768*x^10-187432960*x^9+843448320*x^8-2998927360*x^7+8396996608*x^ 
6-18320719872*x^5+30534533120*x^4-37580963840*x^3+32212254720*x^2-17179869 
184*x[phone]))/(x^17-68*x^16+2176*x^15-43520*x^14+609280*x^13-6336512* 
x^12+50692096*x^11-318636032*x^10+1593180160*x^9-6372720640*x^8+2039270604 
8*x^7-51908706304*x^6+103817412608*x^5-159719096320*x^4+182536110080*x^3-1 
46028888064*x^2+73014444032*x-17179869184),x, algorithm=\
 

output

3*e^(-x^18 - 64*x^17 - 2176*x^16 - 52224*x^15 - 992256*x^14 - 15876096*x^1 
3 - 222265344*x^12 - 2794192896*x^11 - 32133218304*x^10 - 342754328576*x^9 
 - 3427543285760*x^8 - 32405863792640*x^7 - 291652774133760*x^6 - 25127008 
23306240*x^5 - 20819521107394560*x^4 - 166556168859156480*x^3 - 1290810308 
658462720*x^2 - 9719042324016660481*x - 295147905179352825856/(x^16 - 64*x 
^15 + 1920*x^14 - 35840*x^13 + 465920*x^12 - 4472832*x^11 + 32800768*x^10 
- 187432960*x^9 + 843448320*x^8 - 2998927360*x^7 + 8396996608*x^6 - 183207 
19872*x^5 + 30534533120*x^4 - 37580963840*x^3 + 32212254720*x^2 - 17179869 
184*x + 4294967296) - 2508757194024499019776/(x^15 - 60*x^14 + 1680*x^13 - 
 29120*x^12 + 349440*x^11 - 3075072*x^10 + 20500480*x^9 - 105431040*x^8 + 
421724160*x^7 - 1312030720*x^6 + 3148873728*x^5 - 5725224960*x^4 + 7633633 
280*x^3 - 7046430720*x^2 + 4026531840*x - 1073741824) - 103486234253510584 
56576/(x^14 - 56*x^13 + 1456*x^12 - 23296*x^11 + 256256*x^10 - 2050048*x^9 
 + 12300288*x^8 - 56229888*x^7 + 196804608*x^6 - 524812288*x^5 + 104962457 
6*x^4 - 1526726656*x^3 + 1526726656*x^2 - 939524096*x + 268435456) - 27596 
329134269489217536/(x^13 - 52*x^12 + 1248*x^11 - 18304*x^10 + 183040*x^9 - 
 1317888*x^8 + 7028736*x^7 - 28114944*x^6 + 84344832*x^5 - 187432960*x^4 + 
 299892736*x^3 - 327155712*x^2 + 218103808*x - 67108864) - 534678876976471 
35358976/(x^12 - 48*x^11 + 1056*x^10 - 14080*x^9 + 126720*x^8 - 811008*x^7 
 + 3784704*x^6 - 12976128*x^5 + 32440320*x^4 - 57671680*x^3 + 69206016*...
 

3.2.70.8 Giac [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 1614 vs. \(2 (18) = 36\).

Time = 0.42 (sec) , antiderivative size = 1614, normalized size of antiderivative = 84.95 \[ \int \frac {e^{\frac {8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} \left (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}[phone] x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34}\right )}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}[phone] x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx=\text {Too large to display} \]

input

integrate((-54*x^34+408*x^33-3*x^17+204*x^16-6528*x^15+130560*x^14-1827840 
*x^13+19009536*x^12-152076288*x^11+955908096*x^10-4779540480*x^9+191181619 
20*x^8-61178118144*x^7+155726118912*x^6-311452237824*x^5+479157288960*x^4- 
547608330240*x^3+438086664192*x^2-219043332096*x[phone])*exp((-x^34-x 
^17+66*x^16-2048*x^15+39680*x^14-537600*x^13+5404672*x^12-41746432*x^11+25 
3034496*x^10-1218314240*x^9+4685824000*x^8-14394851328*x^7+35114713088*x^6 
-67175972864*x^5+98650030080*x^4-107374182400*x^3+81604378624*x^2-38654705 
664*x[phone])/(x^16-64*x^15+1920*x^14-35840*x^13+465920*x^12-4472832*x 
^11+32800768*x^10-187432960*x^9+843448320*x^8-2998927360*x^7+8396996608*x^ 
6-18320719872*x^5+30534533120*x^4-37580963840*x^3+32212254720*x^2-17179869 
184*x[phone]))/(x^17-68*x^16+2176*x^15-43520*x^14+609280*x^13-6336512* 
x^12+50692096*x^11-318636032*x^10+1593180160*x^9-6372720640*x^8+2039270604 
8*x^7-51908706304*x^6+103817412608*x^5-159719096320*x^4+182536110080*x^3-1 
46028888064*x^2+73014444032*x-17179869184),x, algorithm=\
 

output

3*e^(-x^34/(x^16 - 64*x^15 + 1920*x^14 - 35840*x^13 + 465920*x^12 - 447283 
2*x^11 + 32800768*x^10 - 187432960*x^9 + 843448320*x^8 - 2998927360*x^7 + 
8396996608*x^6 - 18320719872*x^5 + 30534533120*x^4 - 37580963840*x^3 + 322 
12254720*x^2 - 17179869184*x + 4294967296) - x^17/(x^16 - 64*x^15 + 1920*x 
^14 - 35840*x^13 + 465920*x^12 - 4472832*x^11 + 32800768*x^10 - 187432960* 
x^9 + 843448320*x^8 - 2998927360*x^7 + 8396996608*x^6 - 18320719872*x^5 + 
30534533120*x^4 - 37580963840*x^3 + 32212254720*x^2 - 17179869184*x + 4294 
967296) + 66*x^16/(x^16 - 64*x^15 + 1920*x^14 - 35840*x^13 + 465920*x^12 - 
 4472832*x^11 + 32800768*x^10 - 187432960*x^9 + 843448320*x^8 - 2998927360 
*x^7 + 8396996608*x^6 - 18320719872*x^5 + 30534533120*x^4 - 37580963840*x^ 
3 + 32212254720*x^2 - 17179869184*x + 4294967296) - 2048*x^15/(x^16 - 64*x 
^15 + 1920*x^14 - 35840*x^13 + 465920*x^12 - 4472832*x^11 + 32800768*x^10 
- 187432960*x^9 + 843448320*x^8 - 2998927360*x^7 + 8396996608*x^6 - 183207 
19872*x^5 + 30534533120*x^4 - 37580963840*x^3 + 32212254720*x^2 - 17179869 
184*x + 4294967296) + 39680*x^14/(x^16 - 64*x^15 + 1920*x^14 - 35840*x^13 
+ 465920*x^12 - 4472832*x^11 + 32800768*x^10 - 187432960*x^9 + 843448320*x 
^8 - 2998927360*x^7 + 8396996608*x^6 - 18320719872*x^5 + 30534533120*x^4 - 
 37580963840*x^3 + 32212254720*x^2 - 17179869184*x + 4294967296) - 537600* 
x^13/(x^16 - 64*x^15 + 1920*x^14 - 35840*x^13 + 465920*x^12 - 4472832*x^11 
 + 32800768*x^10 - 187432960*x^9 + 843448320*x^8 - 2998927360*x^7 + 839...
 

3.2.70.9 Mupad [B] (verification not implemented)

Time = 0.70 (sec) , antiderivative size = 1631, normalized size of antiderivative = 85.84 \[ \int \frac {e^{\frac {8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} \left (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}[phone] x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34}\right )}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}[phone] x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx=\text {Too large to display} \]

input

int(-(exp(-(38654705664*x - 81604378624*x^2 + 107374182400*x^3 - 986500300 
80*x^4 + 67175972864*x^5 - 35114713088*x^6 + 14394851328*x^7 - 4685824000* 
x^8 + 1218314240*x^9 - 253034496*x^10 + 41746432*x^11 - 5404672*x^12 + 537 
600*x^13 - 39680*x^14 + 2048*x^15 - 66*x^16 + x^17 + x^34 - 8589934592)/(3 
2212254720*x^2 - 17179869184*x - 37580963840*x^3 + 30534533120*x^4 - 18320 
719872*x^5 + 8396996608*x^6 - 2998927360*x^7 + 843448320*x^8 - 187432960*x 
^9 + 32800768*x^10 - 4472832*x^11 + 465920*x^12 - 35840*x^13 + 1920*x^14 - 
 64*x^15 + x^16 + 4294967296))*(219043332096*x - 438086664192*x^2 + 547608 
330240*x^3 - 479157288960*x^4 + 311452237824*x^5 - 155726118912*x^6 + 6117 
8118144*x^7 - 19118161920*x^8 + 4779540480*x^9 - 955908096*x^10 + 15207628 
8*x^11 - 19009536*x^12 + 1827840*x^13 - 130560*x^14 + 6528*x^15 - 204*x^16 
 + 3*x^17 - 408*x^33 + 54*x^34 - 51539607552))/(73014444032*x - 1460288880 
64*x^2 + 182536110080*x^3 - 159719096320*x^4 + 103817412608*x^5 - 51908706 
304*x^6 + 20392706048*x^7 - 6372720640*x^8 + 1593180160*x^9 - 318636032*x^ 
10 + 50692096*x^11 - 6336512*x^12 + 609280*x^13 - 43520*x^14 + 2176*x^15 - 
 68*x^16 + x^17 - 17179869184),x)
 

output

3*exp(-(38654705664*x)/(32212254720*x^2 - 17179869184*x - 37580963840*x^3 
+ 30534533120*x^4 - 18320719872*x^5 + 8396996608*x^6 - 2998927360*x^7 + 84 
3448320*x^8 - 187432960*x^9 + 32800768*x^10 - 4472832*x^11 + 465920*x^12 - 
 35840*x^13 + 1920*x^14 - 64*x^15 + x^16 + 4294967296))*exp(-(67175972864* 
x^5)/(32212254720*x^2 - 17179869184*x - 37580963840*x^3 + 30534533120*x^4 
- 18320719872*x^5 + 8396996608*x^6 - 2998927360*x^7 + 843448320*x^8 - 1874 
32960*x^9 + 32800768*x^10 - 4472832*x^11 + 465920*x^12 - 35840*x^13 + 1920 
*x^14 - 64*x^15 + x^16 + 4294967296))*exp((98650030080*x^4)/(32212254720*x 
^2 - 17179869184*x - 37580963840*x^3 + 30534533120*x^4 - 18320719872*x^5 + 
 8396996608*x^6 - 2998927360*x^7 + 843448320*x^8 - 187432960*x^9 + 3280076 
8*x^10 - 4472832*x^11 + 465920*x^12 - 35840*x^13 + 1920*x^14 - 64*x^15 + x 
^16 + 4294967296))*exp((81604378624*x^2)/(32212254720*x^2 - 17179869184*x 
- 37580963840*x^3 + 30534533120*x^4 - 18320719872*x^5 + 8396996608*x^6 - 2 
998927360*x^7 + 843448320*x^8 - 187432960*x^9 + 32800768*x^10 - 4472832*x^ 
11 + 465920*x^12 - 35840*x^13 + 1920*x^14 - 64*x^15 + x^16 + 4294967296))* 
exp(-(107374182400*x^3)/(32212254720*x^2 - 17179869184*x - 37580963840*x^3 
 + 30534533120*x^4 - 18320719872*x^5 + 8396996608*x^6 - 2998927360*x^7 + 8 
43448320*x^8 - 187432960*x^9 + 32800768*x^10 - 4472832*x^11 + 465920*x^12 
- 35840*x^13 + 1920*x^14 - 64*x^15 + x^16 + 4294967296))*exp(-x^17/(322122 
54720*x^2 - 17179869184*x - 37580963840*x^3 + 30534533120*x^4 - 1832071...