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-

Tinku Tara June 4, 2023 Integration 0 Comments

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

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..

$${find}\:{the}\:{value}\:{of}\int_{\mathrm{0}} ^{\infty} \:{artan}\left(\mathrm{2}{x}\right)\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{−\mathrm{1}_{} } \:\:{the}\:{key}\:{of}\:{slution}\:{put}\:{F}\left({t}\right)=\int_{\mathrm{0}} ^{\infty} \:{artan}\left({xt}\right)\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{−\mathrm{1}} \:\:\:{find}\:\partial{F}/\partial{t}\:{first}\:{then}\:{F}\left({t}\right)\:{and}\:{take}\:{t}=\mathrm{2}\:{you}\:{will}\:{of}\:{find}\:{find}\:{the}\:{value}\:{of}\:{integral}.. \\ $$

Facebook Tweet Pin

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-

Leave a Reply Cancel reply