ALGEBRA 23 



1.843 Indefinite Sums. 



i. 2[(x-b)(x-b-h)(x-b-2h) . . . (x - b - w^iA)] 



= 7 ^-TT (x - b) (x - b - h) . . . . . ( x -b -nti)+C. 

 (yi ~\~ n)ft 



2. 



b) (x + b + h) . . . . (x + b + n 



i i 



(n - i)h 

 a 



c. 



sin lex - - + d } 



2 sn 

 2 



cos ^ 



cA A 



h d\ 



2 sn 



2 



1.844 If /(#) is a polynomial of degree w, 



2 ?(*> = ?r 



1.845 If f(x) is a polynomial of degree n, 



f(x) = a Q x n + ^ix"- 1 + .... 

 and 



where 



2! 



w + i)n(n i) 7 , n(n 



3- 2 ' 



The coefficient c n +i may be taken arbitrarily. 



, 

 (n - 



