TABLES 

 D'lNTEGRALES DEFINIES 



PARTIE PREMIERE. 



F.Alg.rat.ent. TABLE i. Lim. et L 



T\ [ n—\ 1 Caucliy, Cours Le?. 32. — Plana, Cr. 17. 1. II observe que Cavalleri a trouvc 2) 



L)jxi ax — ^^^ ^y^jjjg 3^ 



2) Ix'^dx = 



7 « -h 1 



3) j x" dx = 



a -\- b 



f <l1a (\aj\\i 



^)\{\—x'^Ydx = —~- Plana, Cr. 17. 1. 



7 *" ' 2a +1 12a/l 



5) 1(1 — a;)a-p-ida. = ^ ^/^ ^^ Cisa de Gresy, Mem. Turin 1821. 209. I. N'. 5. 

 6) 



p(H-p) 



/la-l/l 

 (1 — a;)°-l a;o-i da; = 2 Euler, Calc. Int. 4. S. 3. 13. 

 (a+l;*i 



7) / (1 —x)v x^-V dx = p —~ -—— =1(1 — xV-P xP dx Oettinger, Cr. 88. 162. 

 J 2 Sm. p n J 



fi\[n—r\P-iT'i-tdr —^MIM Poisson, P. 19. 404. N^ 72. — Jacobi, Cr. 11. 307. -- 

 7 ^ ' r(p-\- g) Plana, Cr. 17. 1. — Grunert, Gr. 2. 266. 



. iPl^ 1 Legendre, Exerc. 3. 34. — Schlomilcb, 



9; "^ 1^)1 • ~ P°"'" P et 5 entiers; Gr 4. 23. — Cisa de Gresy, Me'm. 



* P Turin 1821. 209. I. N". 2. 



101 — }fZl!}2ll!^l „„„„ i„„t », of ^. Oettinger, Cr. 35 13. — Lobat- 



^^' - l/'+V-i/i P°"' *°"* ^ '* ^' schewsky. Mem. Kasan. 1835. 211. 



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