DLMF:10.71#Ex2 (Q3910)

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DLMF:10.71#Ex2
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    ∫ x ⁢ N ν 2 ⁡ ( x ) ⁢ d x = x ⁢ ( ker ν ⁡ x ⁢ kei ν ′ ⁡ x - ker ν ′ ⁡ x ⁢ kei ν ⁡ x ) , 𝑥 modulus-Bessel-N 𝜈 2 𝑥 𝑥 𝑥 Kelvin-ker 𝜈 𝑥 diffop Kelvin-kei 𝜈 1 𝑥 diffop Kelvin-ker 𝜈 1 𝑥 Kelvin-kei 𝜈 𝑥 {\displaystyle{\displaystyle\int x{N_{\nu}^{2}}\left(x\right)\mathrm{d}x=x(% \operatorname{ker}_{\nu}x\operatorname{kei}_{\nu}'x-\operatorname{ker}_{\nu}'x% \operatorname{kei}_{\nu}x),}}
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    DLMF:10.71#Ex2
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