Function Clix). 435 



/ .72"(y)siu(^sin|-)r/// = 2sin~ ^ C'|(cosx) C>o.sx). . . C'Jcosar) 



I J-"(y) siu ((/cos ^ dy = (—1)""' 2 cos -|- 2_, c'_'(cosa;) C Jcosx) . . . C'|^(cosx) 



I C'2„_2 (^ siu -^)(^^ = (-1)""' y t'J\cosx) CJcosx) . . . C;>osx) 



( J-"(</)siiH^cosxj(/(/ = (^— 1)«-' y cy(iosx)C'''{cosx). .. C^J(cQSx) 



I ^ — I "'i '"2 r 



I J-"+'{i/)cos(yGOSJi^dy = (—1)" ^L t.','|.(cos.r) c'\(cos,k). . . C,',(cos.c) 



^11 «l'. »•' "r' 



cos"y {(cosxcosy + /siuy)"~' + (cosxcosy — ismf)"~'\ df 



ri(«— 1);t v-\ -,v, ,■'1 ^v 



siu"y [(cosxsiny + ecosy)"~'+(cosxsiuy — /cosy)""" (?y 



'/ IT Zj "' (^"^■''■^ "2 (cos-^^) ■ • • '.,. (cos X) 



Mx = 0,l,2,. . .,k—1;;k>, = 0,1,2,. . .,2«— 1;«1: 



= 0,1,2,. . .,2w; y«, = M— 1; V »»,, = 2m-1; V «[ = 2«; V v, = 1 





m — I 



•i 



» ^" .7" 



J cos i-ism cosijjJ sinyArtyA = ^ (— -) 



m —1 



7« — 1 



T ' (/ 2/,;;r . . V'"' ( 2kK . . V'-'i , 



t cos"y/, |(cos eosyA-(-/siuyJ + ( cos - — cosy*— ( smy^j ^(fy4 = 



TT 2 (n(«-l)) ^ /» 



(2'-n(«-l^^ ^ 



55* 





