DLMF:6.7.E13 (Q2266)

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DLMF:6.7.E13
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    f ( z ) = 0 sin t t + z d t = 0 e - z t t 2 + 1 d t , sine-cosine-integral-f 𝑧 superscript subscript 0 𝑡 𝑡 𝑧 𝑡 superscript subscript 0 superscript 𝑒 𝑧 𝑡 superscript 𝑡 2 1 𝑡 {\displaystyle{\displaystyle\mathrm{f}\left(z\right)=\int_{0}^{\infty}\frac{% \sin t}{t+z}\mathrm{d}t=\int_{0}^{\infty}\frac{e^{-zt}}{t^{2}+1}\mathrm{d}t,}}
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