let-tbe-fraction-F-x-1-x-n-1-with-n-from-n-and-n-2-1-find-the-poles-of-F-and-decompose-it-inside-C-x-2-decompose-F-x-inside-R-x-3-calculate-2-3-F-x-dx-

Question Number 57234 by maxmathsup by imad last updated on 31/Mar/19

l e t t b e f r a c t i o n F (x) = \frac{1}{x^{n} - 1} w i t h n f r o m n a n d n ⩾ 2

1) f i n d t h e p o l e s o f F a n d d e c o m p o s e i t i n s i d e C (x)

2) d e c o m p o s e F (x) i n s i d e R (x)

3) c a l c u l a t e \int_{2}^{3} F (x) d x .