DLMF:6.7.E14 (Q2267)

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DLMF:6.7.E14
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    g ( z ) = 0 cos t t + z d t = 0 t e - z t t 2 + 1 d t . sine-cosine-integral-g 𝑧 superscript subscript 0 𝑡 𝑡 𝑧 𝑡 superscript subscript 0 𝑡 superscript 𝑒 𝑧 𝑡 superscript 𝑡 2 1 𝑡 {\displaystyle{\displaystyle\mathrm{g}\left(z\right)=\int_{0}^{\infty}\frac{% \cos t}{t+z}\mathrm{d}t=\int_{0}^{\infty}\frac{te^{-zt}}{t^{2}+1}\mathrm{d}t.}}
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