Function Cl{x). 459 



V (-2) n(>^+p--i)_^ ^,,+„ ^^^ ^,, ^^^^ ^^ ^ _ ^ ^ ^ . 



„^„n(?^)n(2«+2v-l) v/;rri(v-i)n(2v-i)siu'-'|- 



"(cosy— cosa,-y~' cos -|-(7y | " cos*"-* -^ jc,''((/ + sin2 ^- cos^'^ + Zsin |- cos2'fsin24/— ^-"^j + 



+ C'!^ U+sin^-^ cos* ^ — /sin -i- cos^if siu i'i^ T~^)[ '^'^ 



n(^)n(,-i) r. ri 



■= I (cos f — cos .r)"'^' cos -^ ilf I siu*"'-' -^ CV (2/ + sin^ -|- sin* '^ + 



n(v— 1)11 (2v—l)\/^ sin-"-' ^Jo J" 



• • f • 2 r • Tr siu*2'^> a/ .,* -i, .. f ■ , , ■ n, sin^2As, ,, 

 + / sin [^ siu'' <f sin 2-^ -j — + C; iy + sin' '^ siu* ^ — i sin ^ sin'' '^ sin 2-^ ~ — ^j^ d^ 



n(?^)ll(;ji— l) 

 „tin(^^^)n(2« + 2v-^; \/;rII(v-l)II(2v_l) cos^"-'^ 



. [ (cos./' — cos y)""' sin -^r/y I cos*"-' il-jC^fy + cos^ ^ cos*i^+/cos-|-cos^i|' sin 2i^ — J + 



+ C/' (y + cos' ~-cos* 5^ — / cos -™- cos* ^ sin 2ip — — t^'i ^^'^ 



n(^)n(p.-i) ^ ^i 



= I (cos .1' — cos f) "-' sin -|- rfy 1 sin *"-' i'^.C;!' fy + cos' -|- sin* -^ + 



\/;7lI(v-l)ri(2v— l)cos'"-*^J..- J" 



+ / cos -|- sin' '^ sin 2-^ a^) "^ C;' 7^ + cos'^^- sin*-^ — «cos ^ sin'-]; sin 2-^ 27"^^ j[ ^'"^ 



t'Al{~)n{2n + 2v+ ^) V/;rn(v-2)lI(2v-2)sin^"-' J 



• 1 (cos f — cos x)"~' sin fdf I cos*'-' ip / sin ^- cos '^ + «' sin '^1 Cr iy 4- sin' -^ cos* '^ + 



ta sin' ''■J;^ /(p ^-u/ ¥* 9^ sin'2il'\, 

 + /sin-^cos'-|sin2'^ — ^j-f-f sin-^cos'^+/ sin '^ jC',:7//+ sin'-'^ cos*'^ — /sin-^cos'!p sin2-^ T )[ "^ 



=: j (cos ^ — COS x)"-- sin yf/y | sin*'-^ -^ '( sin -|- sin -^ +; cos-^ ] . 



V/^n(v— 2)Il(2v— 2)sin'"-'4->''' ^» 



Li 



IL f V 9 sin' 2t!'\ / • 9 \ 



. CrU+sin'-'j S1I1-* -f + «■ sin -^- sin'i|; sin2-^ 27^)+ (s^'i ^^ ''i" 't' — 'cos-^j . 



.Cr(y + sin'-i- sin*<f — i sin-™- sin' --^ sin 2-^ 1~^^)\ '^^ 



