calculate by two methods ∫_0 ^∞ ∫_0 ^∞ ((dxdy)/((1+y)(1+x^2 y))) then find the value of ∫


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Question Number 31082 by abdo imad last updated on 02/Mar/18

$c a l c u l a t e b y t w o m e t h o d s \int_{0}^{\infty} \int_{0}^{\infty} \frac{d x d y}{(1 + y) (1 + x^{2} y)}$ $t h e n f i n d t h e v a l u e o f \int_{0}^{\infty} \frac{l n x}{1 - x^{2}} d x .$
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