( 277 ) 

 Fiu'tliermoro, as 



[{S ,<.—2 H-)l/l-x d.v = - 2 1^(1-2/3 ,i"~) (l-,f/2--^/, (l_.r)=/.j 



—n n dx , , Va , , ^'^ 

 d ian—'^ — =^= =- ^z^ d tan—^ — == = — Vi 



we find for both parts of I Bdx; 



i?i = — 2 « [(1— 2/ü ,fl) (1— ,r)'''2 — 3/3 (1— .r)=/c1 <c,K-i - ^^- 

 L J l/.r — m=^ 



3 7 13 \ /3 3 , 13 



r/3 7 13 „\ /3 3 ^ ^-^ \ 



LVlO 20 60 y^ V4 2 ^ GO / ^ 



4/1 In 



-f- — ( "7" "" I '"'i~' "^ 



»j N 5 3 y 



^0 = 4 « [(l — Vs «=) (1—*)''^- — % (1 — .r)'/^] Can-i ^ — 



I 



r/3 19 2 N , /271 11 N 1 



- " [(ï^ ' - ^ - ^ '" J ^^ - (¥2"^ - IT '^V '"""^ ^* + 



The integration of the four parts of I C dx is ah-cady more diifleuU, 

 Comparatively easy are Cy and Co,: 



„ r3.(:2— Vo . 



L\ = — «- (3— «2) I __^ i^,„_i . _ J,, _ j 



L " / 2,c " ) 2m J 



f 3 .«2 — 1/3 



r.i ==: 2 ?i I tav^ nz , dx = 



./ X-' 



= 2n \-^ 3 H tan-'^ c 4- ( S x -{ ^^'] tMu-hi:] 



lA n X ^ V ^ 2,;; 4 «2 ,/ J 



19 



Proceedings Roval Acad. Amsterdam. Vol. I. 



