I. Sir a ~ o. 

 Hinc fiet 5i~o, ^ — o, etc. ficque feries fummanda erit 

 S = I, nortra autem foriTiuk praebet S — - f ~ — "^ ^ ' .. . Efl: 

 vero pro terminis fummationis praefcriptis f — "—. — —5. vn- 

 dc fit S ~ x, id quod egregie conuenit. 



II. Sit a zzz. — I. 

 Hoc cafu fiet 5(=:-i, ?5 = - — S €z=z — lilil. etc. vnde 



3. 4 ' 2. 4. 6 ' 



feries fummanda erit 



c — j i^ IiJ . LJ ilili . ^"^: ^ I- 3- 5. 7 r. I. 3. s gj_ 



2. 2 2.4 2. 4 2. 4. 6 2. 4. 6 2. 4. 6. S 2. 4. 6. S 



At vero noftra formula praebet 



S — ^A- 



3 X 



•K ■/(! XKp TT' 



quae fumma egregie connenit cum ea, quam ex formulis iw 

 tegralibus logarithmicis eruimus. 



ni. Sit a=r— 2. 



Fiet Iiic 5( ~ — I, ^ in o, (£ — o, etc. Series ergo fumman- 

 da erit ^ zzz \ —lz=:.\\ forrnula vero noftra integralis praebet 

 S~^/5.v/(i — .V .y). lam vero ex Corollario Lemmatis 

 tertii habemus hanc reducflionem : 



quae, ad noftrum cafum accommodaca, ponendo anzi, bz.i.^ 

 f zz: I , dat 



f^^Vi^-xx^-lf^^^^-l.^zzzl,, 



hinc ergo fit S — I. 



IV. Sit ar=: — 3. 

 Hoc ergo cafu fiet 



*- ' *. 4' 8.4.6' "^ 2.4,6.»' S.4.o.8.io' 



vnde 



