study the convergence of A(α) =∫_0 ^∞ (t^(α−1) /(1+t^2 ))dt and find its value.


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Question Number 30566 by abdo imad last updated on 23/Feb/18

$s t u d y t h e c o n v e r g e n c e o f A (α) = \int_{0}^{\infty} \frac{t^{α - 1}}{1 + t^{2}} d t a n d$ $f i n d i t s v a l u e .$
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