F^. Alif.r.il. fr;ict.;'id(3n. Irinoiiip. TABLE 25 suite. Lim. et oo 



/.e/'~'^ dx ft p rr fir » .t\ 

 - = Cosec. . SiuA — ,0<p<l: Diengei-, Gr. 10. 311. 



16)1 (/.r=.r Kaabe, Cr. 37. 35tJ. 



'J\ ~x-+^^ 



f d.P n ' 



J a+ hx- -\- cx"^ 2\^^ \ah-\-2ai^ ac] 



I x'^ dx n 

 18)1 = [ 



f dx n 1 



7x''+(o4-6a;^)'^ ~ 2al/(l+4a&) \ 



[ X- dx n 



'] x-+{a+bx'y "" 2iw-(14-4!a6) 



/■ dx _ ^_ '^ i 



2:5) f -^^^^ = ^ CcecXCosec. ^. Si.. j^liL:i^)±«il Kule. Calc. Int. 



r. k 



, j''— 1 da; n- ^ . , brc la — b\ 



21)/ - — - - - = - Cosed. Cosec. — . Sin.l A Euler, Calc. Int. 1'. 4, .S. 5. 1^3. 



" \ -\-%x''Cos.l^x^<' a a \ a ' 



d;«±A— 'dj; rr bn _ bl 

 = - Cosec. K. Cosec. — . Sin. — 



25)/ ''■- = - Cosed . Cosec. '-^ . Sin.'— Kuler, Calc. Int. T. 4. S. .5. lyi 



F..\lfr. rat.fracl.ajiulreden.polynonie. TABLE 2G. Lim. el x . 



l)f^.^.^^—l-^ ■^ P '^'"•^- ^°^' P^— ^°^- ^ • ^'"• /' ^ Legendre, Exerc. 4. 



7 (1 4- 2 X Co«. A + .T>)» ~" 2 Sin.pix Sin^ I 108. 



, / I d X It Sin. p). ^ 



2)1 = ^ ,/^* < 1; LcKendre. Exerc. I. 1(12. 



'J \ +2xCo8.X + x^ xP Sin.pn Sin.X " ^ 



f X 4- a dx 7r Cos. (p Arcta.i) 



6)1 " — = . ^^ ^—^ Cauchy, V. 2S. 147. I. S 2. 



7**+(« + rtl» !CP i/(a»+6>)P Sin.pTT 



n (a — A »■)— P +{a + b i^-P 



4) = — --- l^^^Jl-J^- I'lann, Mum. lirui. 1S37. 



Sin.pn 2 



I'age 61. 



