0-K-r-dr-0-t-Y-0-t-dt-0-sin-t-e-kt-t-2-2-dt-

Tinku Tara May 3, 2025 None 0 Comments

Question Number 219870 by SdC355 last updated on 03/May/25

∫_0 ^( ∞) K_ν (r)dr ∫_0 ^( ∞) t∙Y_0 (t)dt ∫_0 ^( ∞) ((sin(t)e^(−kt) )/(t^2 +ρ^2 ))dt

$$\int_{\mathrm{0}} ^{\:\infty} \:{K}_{\nu} \left({r}\right)\mathrm{d}{r} \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \:{t}\centerdot{Y}_{\mathrm{0}} \left({t}\right)\mathrm{d}{t} \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \:\:\frac{\mathrm{sin}\left({t}\right){e}^{−{kt}} }{{t}^{\mathrm{2}} +\rho^{\mathrm{2}} }\mathrm{d}{t}\: \\ $$

Answered by MrGaster last updated on 04/May/25

Commented by MrGaster last updated on 04/May/25

Just substitute the numerical value.

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0-K-r-dr-0-t-Y-0-t-dt-0-sin-t-e-kt-t-2-2-dt-

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