F. Alg.rat.fract.aden..rpouraspecial. ^^^^lE 127 suite. Lim. ct oc. 



L\|)oii. polynoiuo en nuniLT. 



10) /" ^^"'^ 7^^' e-^dx = {^q+l)l{^>l + 1)— 2(!/+ l)^('i + l) V. T. 1G8. N'. 4. 



cic—ix n i 



11)1 --^T— -^Z^^- ^•^- = (P + 2 ?) ^ (P + 2 .y) - il (/) 4- 7) Z (p + 7) + P 0' V. T. 108. N". 5. 



12) /e-?'-^ (c-^— l)"— = A" -pip Mcver, lut. Dcf. 181. 

 7 a;* 



13) I ~ ax = (0 — a)ala-\-(c — a)bLb-\-{a — o)clc ^., . 



/• ^_j ^ Caucliy,P.28. UT.r.III. Suppl.- 

 ll.) / c— /'* (e-^ — 1)* — :^ = ^ Cosec.[{q-\-\)7T] tJpl Exerc. 1S2G. p. 58; \)omq<:^b,\ 



J ^ I^ (? + 1) valeur extraordinaire pour (/■>• ^ 



(_J)?+i 

 1"^ 



15)1 = ^ rj.j A^ .pllp,])ouv qeniier ,<^h; Caucliy, Exerc. 1826. p. 5S. 



dx 1 , 



= -(/2 — ]) 



f( e-^ 1\ dx I 



17) / ie-^ + ( — = 1 ) stern, CM. Stud. 1817. 



J I X xf X ( 



f\ e-/'-^ e-9^) dx ] 



IS) / ^pc'--^ + — qe-^— \ = plp—p^qlqJ^q I 



J { X X ) X j 



19) / [(P— 2)c~'+ ^-^ (e"'"" — e"^"")! — = (p— •'.) (^/' — 1) -^lejTr, Int. Def. 121. 

 j \ 2x ) X 



fi X + -Z ] dx I l\o + l 



20) / \1 ■ — (l_e-^)^ e-9x — = _ 1 ^ o 4- - l^-^^— Cauchy, C.ll. Ifi. 422. 



J K 2x ) X \ 2/ q 



' dx = 1 — 12. Meyer, Int. Dei. 123. 



f(l c—r)- 3" 



-^)l —-e-^-'^d.v = 21— V. T. 168. N°. 2. 



7 x^ 27 



f e— 9^ 



2Z)j{e-^~iy-—dx = {q + 2)l{q + 2)-2{q-\-l)l{q-\--i)-{-qlq V. T. 168. N'. 3. 



f( ] — c-/'^)(l — £— ?^)(1 — e-rx) 



24) j ^, V-(i^= 0, + 7+l)/Q, + .y4-l)+(p + r+l)/0> + ,- + l)+ V. 



+ (2+7-+l)%+r+l)-(p+l)Z(2;+l)-(5 + l)/(f/ + l)-(r+l);(r4-])_(p-|-7+r)«(p+9+r) 



N°.8. 



Page 186, 



