/. 
rf ’ 
» (Cos f)"' fi Sin lüg (Cos *) - * Cos Sin * d X 
fin' , n <* 
j . ; ; ' . »4 
(i-2rCosx 4" r * 2 ) JV 2 4 * 4 log 2 (Cos — )] 
V.n 
^..( 27 ) 
— 7 F [ 1 4 - r n 
~ ( — — ) 4 - 
» — (. 
; 57 
log 
« 4-2 
r . 2 log . 2 
SK ' f:‘ • r I 
14- r 
Si in his formulis ponatu n = 0, illæ sic quidem] oriuntur 
formulae, quas Poisson loco ante citato *) primus oonsideravit. 
' 
Si autem in formula (27) sumatur fj. zzz 1, atque liæc deinde 
multiplicetur per dn et integretur a n 0 usque ad n = ao , 
obtinebitur 
/ 
7 S 
X 
X Sin X log (Cos — ) dx 
T 2 
X 
(1 - 2r Cos X 4 * ? 2 ) 4 “ ^ l°g 2 (Cos — )] 
2 
7 T 
57 . 
32 r (log . 2) 3 
ubi 5 valor est integralis 
^2 
+ 1 rf 
32 »- (log — )" 
1 4- r 
7t . _ at n 
r (cos_ 
C_o 2 
72 AT ^ 
a; 2 Sin — — 4 log 2 (Cos — ) 
~ 2 2 
4 ^ Cos — log (Cos — ) 
2 2 
Sin X obc 
f yç 
(1 - 2r Cos # 4- r 2 ) [x z -f~ 4 log 2 (Cos — ) 1 2 
2 , 
*) Journal de PEcole Polytechnique. Tom. XII. 
