find F(α)= ∫_0 ^1 ((arctan(αx))/(1+x^2 )) dx with α ∈ R−{1,−1}


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Question Number 31465 by abdo imad last updated on 08/Mar/18
$find F(α)= ∫_0 ^1 ((arctan(αx))/(1+x^2 )) dx with α ∈ R−{1,−1}$
$f i n d F (α) = \int_{0}^{1} \frac{a r c t a n (α x)}{1 + x^{2}} d x w i t h α \in R - {1, - 1}$
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