Integral of $$$\frac{r}{l}$$$ with respect to $$$t$$$

The calculator will find the integral/antiderivative of $$$\frac{r}{l}$$$ with respect to $$$t$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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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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