Integral of $$$1$$$ with respect to $$$v$$$
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Your Input
Find $$$\int 1\, dv$$$.
Solution
Apply the constant rule $$$\int c\, dv = c v$$$ with $$$c=1$$$:
$${\color{red}{\int{1 d v}}} = {\color{red}{v}}$$
Therefore,
$$\int{1 d v} = v$$
Add the constant of integration:
$$\int{1 d v} = v+C$$
Answer
$$$\int 1\, dv = v + C$$$A
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