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what is integral of 1+ev /v+ev

$\int \frac{1 + e^{v}}{v + e^{v}} ⅆ v L e t v + e^{v} = t \Rightarrow (1 + e^{v}) d v = d t T h u s, \int \frac{1 + e^{v}}{v + e^{v}} ⅆ v = \int \frac{1}{t} ⅆ t = \log t + C = \log (v + e^{v}) + C H e n c e, \int \frac{1 + e^{v}}{v + e^{v}} ⅆ v = \log (v + e^{v}) + C$

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