OU pour s = - 



ET METHODES D'ÉVALUATIOIV DES LNTÉGRALES DEFINIES. UI. ftP. 1. N°. 7, 8. 

 1 



' (lx n 



ƒ = , ?^' < 1 ; (32) 



o 



= , p^>l; (33) 



S. Exercices. Fouctions algébriques. 



['"(Ir 1 n dj; l 



l __ -,(p>l),= ^..(-=/.<p<l),(T.31,N°.3,4)./ ., =^- Arccot.q,.{-U) 



1 sP 2^—1 ] q'- -{■ X- q 



1 O 



('I dx n {'■^ dx n f'^ dx n 



I =—,... (35), / = -, (T. id; N". 1), / =— , . . . (36) 



OU 9 



ƒ+>• dx 2 qr f"^ dx n 

 == — Ardg. ^, (37), / = — , (3S) 

 p'^ -\- q^ X- pq p J P + S'*^ 2 [/p^ 



— r O 



/ = ,(39),/ = ::; — r,(40 



] r* + 2r2a;2 Cos.ZA. + ^r" 'i^r^Cos.X^ j r'^ -^Zr"^ x^ Cos.2,2.-{- x^ A^rCos.l^ 



o 



ƒ1 dx TT f"" dx n 

 = ,(T.7, N°.2), / - = , 41) 

 1+x + x- 3i/3^ ' j l+x-\-x^ 3i^3 ^ ' 

 o *i 



1 • = ,T.25,NM,/ - = ,(T.7,NM),/ - = r,- 42 



/ 14-^+a;^ 3 1/3^ ' j \-x^x'- 3i'3 'j 1— .« + a;2 3i/3 



o o 1 



r dx 4 71 /•' Cos.;.— .T ,/ o. 1,^ ,^ 



/ = ,..(43), i —dx = —l{2Sin.-l\,('ï.l,W.'ol 



j i_a,.-f_a-2 3|/3 ^ '^ j 1— 2i;Cos.;. + .ï- \ 2 /^ 



J l + 2xCos.X+x^ \ 2 f^ ' f l + 2xCos.l + x'- \ 2 / 2 



■ii "o 



f^ dx l P+ q n xdx , / „ 1 , \ 1 . ^ . , 



ƒ —^ =-Z'-^^,(T.3,N".9},/ , r 7 , ^ = M^An.-?. + -(;r-A)CoU.,.(4«) 



I p-f-gx q p j 1 — 2 .r Co*. /, -J- « \ 2/2 



"o o 



p' xdx C^ xdx f" xdx , , 



/ TT— 2 = <^' • • (4'7), -——7 = o, (T. 29, N^. 4), / -— — ; = X, (4S) 



y 9^ +x^ j q' -\.x~ j q^ +X- 



-p -cc o 



f^ dx 1 r dx ,l + p r dx 1 



/ ■ = -i2, . (49), ƒ = l-^^-^,. . (50), ƒ -=—»-'•, . (.51) 



J x{l-\-x^j 2 J .^(1+^) p I (p + <]^7+^ rq'^ ' ^ ' 



I ,, o 



Page 199. 26 



WIS- EX NATTJrilK. VEIIH. DER KONINKL. AKADEMIE. DEEL VIII. 



