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