ET METHODES D'ÉVALUATION DES INTÉGRALES DÉFINIES. III. ftP. 17. N'. 5. 



ƒ* 5iH. A'. Cos. *■ fte „ ['"Sin.a-.Cos.^xdx ^,, . „■ .. , ,«.^. 

 1/(1— /)'-&'«.2 ,f), . (755), :== j [/{l—P' Sm.-' ,r), . (756), = 

 o u 



/•2 l+p' 1 — ;?^ rSin.xdx ^ „ 



= / Co.^ ^vrf.ri/(l— P''S«"-'-i')=-^-^E'(p)— T-F(n), ƒ \/{l—p-'Sin.^xY,.{m),^ 



J -óp' 3p^ J .V 



o o 



ƒ" Jancf. .V d.v f" Tanq. 1 x dx 

 ^- 1/(1— 7^- Sm. ^i-)-', . (758), = / ^-^ \/ {\-p' Sin? .vY , . (759),= 

 o 'o 



TT 



= 1 d.ci/{\—p^Sin.\vy^ - -':^E'(ü)— ^ï'(p), / 1/(1— p'-Cos.^^•),. (760), = 



J 3 o I X 



o o 



ƒ'^Sin.^x.Tq.xdx /""5in.^ lx.Sin.,vdx 

 y__^/(l_p2C'os.j.,)^.(761)^ ^2J ï__ i/(l— 2;'^Cos.2.c),.(762), = 

 o o 



= / S»i.^rrf,,i/(l_p^Cos.^r)=-^E'(p) ^Ï'(P)J —— V/(l-p'-'Co..^t-),.(763),= 



o "o 



= j -^"^']^^/(l— p2Cos.^^■), (764), = j'dx\/{\ — p^Cos?a-) ^E'(p), 



ƒ"' Sin. X. Cos. X dx ƒ " Sin. x. Cos. - x dx 

 ^/(l— p='6'o«.\r),.(765), =/ ^ 1/ (1— p^ Cos.» .r), . (766), = 



o o 



f2 2»^— 1 1— p- , rSin.xdx , 



= / <:os.^«L'/(i-»^-Cos.2a') = -^ E'(p)4- ^F(p), I i/(l— p^-6'os.^^■)^.(767),= 



y 3p^- 3p^ j X 



o o 



= ^^ [/il-p'-Cos.\cy,.{76S), =/ - ^J 



1/(1— p^ Cos. ^ï') 3, . (769), 



/•2 4— 2ü- 1—»^ r Sin.x dx 



= / dxi/{l-p^Cos.\cY = --^E'(p)- "^F'(p), ƒ — ^^7-TT- (T. 231, N^ 5), = 



/ 3 3/ i/(l — p-oin.'.i') ,i' 



'o "o 



[^ Tanq.x dx /*°° Sin.- lx dx 



I i^ ( T 1 (\\ 9 I ^ ^ 7 7 1 ^ 



/ |/ ( l — p' Sj'n.^ .r) ,r ' ' ƒ Sin..r. j/ (1 — p^ &W.-A') « ' 



'o o 



"~ ƒ j/(l— p^5w.-.r) ~ ' ^^^' / 1/(1— p^&V^^^•) .r' ^ T^\ — 



o "ü 



PaM 393. 50* 



