by using residus theorem find the value of A_n = ∫_0 ^∞ (dx/(1+x^n )) with n integr and n≥2.


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Question Number 28824 by abdo imad last updated on 30/Jan/18

$b y u s i n g r e s i d u s t h e o r e m f i n d t h e v a l u e o f$ $A_{n} = \int_{0}^{\infty} \frac{d x}{1 + x^{n}} w i t h n i n t e g r a n d n ⩾ 2 .$
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