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