DLMF:1.9.E28 (Q303)

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DLMF:1.9.E28
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    C f ( z ) d z = a b f ( z ( t ) ) ( x ( t ) + i y ( t ) ) d t , subscript 𝐶 𝑓 𝑧 𝑧 superscript subscript 𝑎 𝑏 𝑓 𝑧 𝑡 superscript 𝑥 𝑡 𝑖 superscript 𝑦 𝑡 𝑡 {\displaystyle{\displaystyle\int_{C}f(z)\mathrm{d}z=\int_{a}^{b}f(z(t))(x^{% \prime}(t)+iy^{\prime}(t))\mathrm{d}t,}}
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