Question Number 226961 by mnjuly1970 last updated on 22/Dec/25

$$\:\:\: \\ $$$$\:\:\:\:\:\sigma\:=\:\int_{\mathrm{0}} ^{\:\infty} {xe}^{−{x}} \:{J}_{\mathrm{2}} \left({x}\right){dx}=? \\ $$$$\:\:\:\: \\ $$
Answered by Tawa11 last updated on 22/Dec/25

$$\:\:\:\:\frac{\mathrm{8}\:\:\:\:−\:\:\:\:\mathrm{5}\sqrt{\mathrm{2}}}{\mathrm{4}} \\ $$