Integral of $$$\frac{1}{t}$$$ with respect to $$$q$$$

The calculator will find the integral/antiderivative of $$$\frac{1}{t}$$$ with respect to $$$q$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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Your Input

Find $$$\int \frac{1}{t}\, dq$$$.

Solution

Apply the constant rule $$$\int c\, dq = c q$$$ with $$$c=\frac{1}{t}$$$:

$${\color{red}{\int{\frac{1}{t} d q}}} = {\color{red}{\frac{q}{t}}}$$

Therefore,

$$\int{\frac{1}{t} d q} = \frac{q}{t}$$

Add the constant of integration:

$$\int{\frac{1}{t} d q} = \frac{q}{t}+C$$

Answer

$$$\int \frac{1}{t}\, dq = \frac{q}{t} + C$$$A


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