I:T fllÉTHODES D'ÉVALÜATION DES INÏÉGRALES DÉFINIES. III. M"'". 17. N'. 7. 



= ƒ l{\±.lpCos.^x-\-p''-) ,.(859), = ƒ ;(1 ±2'pCos.Zx^f-) ^- ,. (860), = 



o o 



ƒ2 ■ TT 



/(l±2pCo,9.2;-fp2).Cojt. 3a.r(/.i- =— -(=fip)«, ((Fapics Méth. .5, N\ 6) ; 



/(l ±/.Co..2.r)-— -^, (86]), - / i(l ±pCo..2;r)--f-- (SC2), = 



X Los. z.r J a- Cos. 2x 



o o 



T. 



= l{\±p Cos. 2.f) ~-^-—, . (863), = ƒ / (1 ±pCos.2r) ^ - = -ƒ/(! ±n Co.'.r) = 



'o o o 



tl . f^ dx 



= - Arcsin.p, (p^ < 1 ), (voir Méth.1 0, NM J ) ; ƒ i ( 1 -(-/-^ - ^««^.2 .r). /(l +5^ (^.2 .,.) - -- — _ . (§64), = 

 2 ƒ X Sin, X 



= [ '(1 +ƒ>' ra«^.^-^0-'(i +7' t'o«.\r) — ^— -— , (865), = 



() 



o 'o 



= '^n--^^l{\-\-p(]) — 2p7T, f l{\ +^p'- Tang.^x).l{l + <j'- CoC- x)~^^^^^, . . . (867),= 

 <J J X Cos. X 



o 



- ƒ/(! +p27>A.■).^(l+'rCo^2^)~^', .(86S), = [?(! +p2 7-i;A.)./(l+ry2(7o^^v)^^^', . (869),= 



•'0 i 



= ƒ /(l+p^ T<p x).l{\+if'- Cot.^ x) ;, ' ■* - = 271 -^t^^Q^ ) _ o„„^ (d-après Métll..37,N^8): 

 •'0 ' 



l{l-p^-Sin.^x) ^ i^{\-p^Sin.h), (870), = ƒ Z(l— p2&'„.2^) -^ j (l_p2,sv».2j.),. (s; ) ), = 



/■* 7',, 1 ^.(/i; /-a 



= ƒ l{\—p''Siu.'x) ■'"''' i '(1— 7>^S»(.\r;,. (872), =^ j l{l—p- Sin.'' x) dxy (l—p'' SfVi.'.v) = 



o o 



= (2-p-^)F(p)-{2- ^ /(l_pi,]E"p) ,ƒ /(l-p2C(,..2x)^-^^— 1/(1-/'' ^''^'■-^}, ■ (87:J), = 



u 

 Pa-e 399. 51 



WIS- £N NATUtlïK. VKUH. DEK KONIXKL. AKADEJIIE. DEEL VIII. 



