142 



Sic est per §. 4> posito mz:^i, 



fd x/e* xdxzzze' X — 2e'-}-x-f-2, hinc 

 dxfd xfe^'xdxzzze'xdx — 2e'3x-T- xd x-\- 2 d x, atque 

 fd xfd xfe'x ax = e*x— 3e'-l-Ç-f-2xH-i + Const. 

 Pro X zn O fit Const. rz: 2 , hinc 



yaxpx/e"xax = e"(x-3)-4-Ç-f-2x-h3, et Cl^l] = f-^e' 

 Sed per seriem habetur : 



hinc 



p x/a x/e* X ax =: :-— + -^— -f- 



*4_ 



2-3-4 



x7 



ergo fdxfdxfe'xâx [1/,^°] 



I. } 4.5 1.2.4.J.6 I .2 .3. 5. 6 . 7 



06 x :r: o - 



-+-.— r 



i.2'4.5.6 1.2.3*5.6.7, 1.2.3.4*6. 

 -1,1 I I 



.2*4.5.6 1.2. 3*5. 6. 7 



2.3-4 ^ S'i- S 



unde fit f-(j:j:^-f-2e)_^.^^^ 

 Simihter pro m ~h 2, ob . 



pxfe'x'dx =z e*x* — 4e*x -f 6e* -— 2x -+- 6, atque 

 3x/ax/e'x«3x=:c*x^ax— 4e*xax4-6e"ax — 2xax-}-6ax, 

 obtinebîmus : 



fèxfdxfe'x'dx — c* (x' — 6x4- 12) — x= — 6x — 12, 

 hinc idem integiaïe , ab x::::o ad x =1 J. extensnm , erit 

 zzz 7 e — 19; 



Com autem sit : 



K^dl 



ax/ax/e'x^ax::::^^'^-^.V'4-.-^:^,H-r:f 



/ax/ax/e==x^ax=^f^-H^^-i-, '' 



xldx 

 .3.6.7 



et 



a.j.6.7 ' I-. 2. j. 6.<?.8 



