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