find-the-value-of-0-artan-2x-1-x-2-1-the-key-of-slution-put-F-t-0-artan-xt-1-x-2-1-find-F-t-first-then-F-t-and-take-t-2-you-will-of-find-find-the-value-of-integral-

Question Number 25762 by abdo imad last updated on 14/Dec/17

f i n d t h e v a l u e o f \int_{0}^{\infty} a r t a n (2 x) {(1 + x^{2})}^{- 1_{}} t h e k e y o f s l u t i o n p u t F (t) = \int_{0}^{\infty} a r t a n (x t) {(1 + x^{2})}^{- 1} f i n d \partial F / \partial t f i r s t t h e n F (t) a n d t a k e t = 2 y o u w i l l o f f i n d f i n d t h e v a l u e o f i n t e g r a l . .