I' . Alf'. rut. Iract. a den. a ± «*. rn . „, ,,. on-? i ;^, n „i -^ 



Luc. Dir. en niiiii. a iiiic lonct. 



JPIaii:i, 

 iMc'm. 



llelmliiig. Traiiif. TI. 

 S. 63. 



/"x Taiiff. px 7T e—Pt^^- Sin, [ p q 1/ 2) 



'j ~^'j^,^^ ' ^ "" q-^ 1 -1- % e-i"l\ 2 Cos.'ip >j \x 2) + e--^viV-^ 



fx Cot. p X T e-Pl' 2 Sin, {pq 1^2) ( Turin. 



^7 a;* +^» •" "" " ^/^- " 1 _ 2 e-/'vV2 Cos. (/? (/ 1/ 2) + c'-2/'?l 2 ( J81S. 



[xCosec.px ne-^r<l\'-- l+e-/>9t2 A \1'"- 



•i\ I ^-_ // :r = 7 Sm. - p O 1/ 2 1 ; 



''7^>+5.. '^^ ^» l_2e-/'7' 2(?o..{7,7U'-2) + c-2/"?V/2 [o^'^ ]l 



C X " \jOS 'OX IT 



4) / '-^~ dx = -- c—l'liCos.pq — Sin.pq) Sclilomilcli, Stud. II. 16. 



'jx^+^q^ 'Iq ^ ^^ 



5)1 °~ — 'V^dx = -^\^2.e-P1^'^- {Cos.{pq\^2) + Sin.[pqiy2)] 

 J q^ -f- X* 4(/^ 



/-W^ip^ ^^ ^ _!L ^/. 2 . c-P?l/2 (Cos. (» a 1/ 2)— 5w. (P7 1--" 2)] 



fx Sin.Zpx n , „. 



/ 5' + »' 2^- 



fx^Sin.Zpx It 



J q^ -\- X* 2 



/■6'm pa; 1 V.T.205. 



9) / — J.C = {2Ci.{p(i).Sin.pq—2Si.{pq).Cos.p]-\-e-P<lE{.{pq)-criEi.{—pq)] X'. 10 elT. 



y 7' — X* 47^ 20G. N\ y. 



[xSin.px n 



10) j i— dx. = - - „ (e-/-/ - Cos. p q) 



J q* — a;' 47- 



11) r '"'^"" dj; = ^(ZCi.(pq).S{n.pq—2Si.(pq).Cos.pq—e-P<}Ei.{pq)-\-ei"iEl.{ -pq)] in ct T. Qur..' 

 7 2 — ^* 42 "^ N'. 9. 



J 2) P' '^'"•''■^ (Z.r = - -(e-/'? + Cos. pq) V. T. 3or>. N". G .>t T. 20C. N°. 1. 



y 7 ' — .x^ 4 



^^JCos^P^ ^ ^ jt_ ^_^^^ ^..^ _ ^, ^, 2j^._ ^, J ^^ ^. 20G. X'. 2. 

 'j q* ^x" 47' ^ ^ 



/"a-CosDT 1 . V.T. 205. \V 



14) / '~dx = {2Ci.{pq).Cos.pq+2Si.(pi).Siii.pq-e-r'iEi.{pq]—iriEi.[—pq)] 1 1 ct T. 2or, 



J q*—x* 47' N'. 10. 



f x^Cos.px ^ :^ (Sin.pq -e-P1) V. T. 205. N". 5 el T. 20G. N''. 2. 



7 q*—x* iq^ ' ' ' 



Page 287. 



V. T. 20.-). X\ G ct T. 20G. X'. 1. 



V. T. 205. X'. 



