Question Number 218331 by Hanuda354 last updated on 07/Apr/25
$$\int_{\mathrm{0}} ^{\infty} \:\frac{{x}^{\mathrm{2}} \:\mathrm{sin}\:\left({x}\right)}{\mathrm{1}+{x}^{\mathrm{4}} }\:{dx}\:=\:? \\ $$
Answered by MrGaster last updated on 07/Apr/25
Commented by MrGaster last updated on 07/Apr/25
$$\approx\pi×\mathrm{0}.\mathrm{760244}×\mathrm{1}.\mathrm{27626}\approx\mathrm{0}.\mathrm{539317} \\ $$$${I}=\mathrm{0}.\mathrm{539317} \\ $$
Commented by Hanuda354 last updated on 07/Apr/25
$$\mathrm{Thank}\:\:\mathrm{you},\:\:\mathrm{sir}. \\ $$