148 DE SVMMIS SERIER. NVMER05 



haec enim per e-~yy dy multiplicata et integratione 

 a termino ^ =: o vsque ad / — : co extenfa praebet 



i.2..4A«— i.2..<JB«^-fi.2.-8Ca''-i.2...ioD/+etc. 



= Ife-yy dy. ^- •- 



Hanc vero formulam integralem line rubllitutione 

 hoc modo euoluere licet : cum fit * 



i±£'_!!— 1 4. 2 g-^^yj^ 2 e-'''^^ 2 e-^^^y^- 2 ^''^''•> + etc. 



multiplicetur per \e~yydy^ et quoniam in ge- 

 nere eft 



re-^^yv^ dv — — e-^^y (y^ A-iyL 4- ^* '• ^ 4- ^"v' > 4- iinj — iizlH J 

 fumma illa transformatur in hanc feriem infinitam 1 



^L^-^j L L, t .4- t 1 t U. exc 



« ^**~(2a-+-.)*^(4a-4_.)*^(6(i-f.t )4~(«aH-'r~ 



Hinc pofito a ~ ^— vt prodeat prior feries , erit 

 etiam 



r= 5 B TT* A'* + 3 — 2 ^ — 6 S ;t* 

 ideoque per 6 x^ diuidendo 



prorfus vti fupra iam animaduertimus. 



Cafus 



