Integral of $$$d$$$ with respect to $$$t$$$

The calculator will find the integral/antiderivative of $$$d$$$ with respect to $$$t$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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Your Input

Find $$$\int d\, dt$$$.

Solution

Apply the constant rule $$$\int c\, dt = c t$$$ with $$$c=d$$$:

$${\color{red}{\int{d d t}}} = {\color{red}{d t}}$$

Therefore,

$$\int{d d t} = d t$$

Add the constant of integration:

$$\int{d d t} = d t+C$$

Answer

$$$\int d\, dt = d t + C$$$A