calculate A_n = ∫_0 ^1 sin(narctanx)dx with n integr natural. 2) find nature of Σ_n A


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Question Number 39021 by maxmathsup by imad last updated on 01/Jul/18

$c a l c u l a t e A_{n} = \int_{0}^{1} s i n (n a r c t a n x) d x w i t h n i n t e g r n a t u r a l .$ $2) f i n d n a t u r e o f \sum_{n} A_{n}$
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