1-find-the-value-of-0-e-tx-2-1-x-2-dx-with-t-gt-0-2-find-the-value-of-0-1-e-x-2-x-2-1-x-2-dx-

Question Number 33544 by math khazana by abdo last updated on 19/Apr/18

1) f i n d t h e v a l u e o f \int_{0}^{\infty} \frac{e^{- {t x}^{2}}}{1 + x^{2}} d x w i t h t > 0

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