7C 



F.Circ.Dir. rat. ent..Produitdedeux puissances. TABLE 56 suite. Lim. Oet-. 



At 



f X J."/** Til"/" 



3) j Sin.^" xXos.^'>+^ X dx = ;— 7 -^^zTTir Oettinger, Cr. 38. 162. 



I i°/2 2*/2 : 



2a +1 So+J/a 



f l°/2 li/2 

 4) ISin.^<^+^(r.Cos.^^x dx = Ohm, Ausw. 49. 



3a+6/2 



5^ /"^^Sa+la; Cosi!>+^xdx - ^°"^'^'^^" ? Oettinger, Cr. 38. 162. - Lobatschewsky. 



5;iOt«. -r X.LOS, -r xax — ^^_j.j_^j,, 2(a+l) Mem. Kasan. 1835. 211. 



6)f*Sjn.2p-1^.^0S.l-2pa;d^ =i nCosec.pn ^^T*A ^'oo' !?^ ~ Hettinger, Cr. 38. 162. - 

 'J 2 W- Cr. 38. 216. 



7) / Sin.P-^ X. Cos.'}-^ xdx= ^^ ^ ^^,^ Eaabe, Int. 22?. 



/2*/2 \ 

 Sm.^-i X. Cos.2i+i a; d X = -^-^ 1 



9) / (?os a-i a;. »Sm.2i+i xdx = 



> Oettinger, Cr. 38. 162. 



r lal 16/1 1 



10) / 003."+'' X. Tanq.^+^ xdx = 



7 ^ la+6/i 2 6 



11)/ (7o«.«+i X. Tung.^"+ ^ xdx 



2 (a + 1) 



> Oettinger, Cr. 38. 162. 

 la/1 la/ 1 ' * 



2 . 12a+l/l 



12) / <7os.2a+i ^ ran^.2a+i xdx 



f la— I/l 16—1/1 



13) / (7os.2«+24-2^.raw.2a-i ^d^r = — — 



7 2 . l«+A-i/i 



14)/cos.2«-2a;.rana./'-i :rd.t- = ^Hp^^^'^ — yP) y rp gj jjo_ g 

 7 2 r (a) 



r / p— g + l \ ^ /P + 3 



lb) j Cos.'^p-^ X. Tang.P—9 X dx = —A ^ / \ ^ / y^ rf_ g^^ j^„_ jq^ 



y 2 r (p + I) 



, f„. o ' ] \ o ; Lobatschewsky, Mem. Kasan. 



16) jSin.'^+b+i a,. Co,.<'~b+i.r,J.^ _ \ ^ / \ » / 1335 gll 



J 2.1«+i/i 



Page 103. 



