Integral of $$$1$$$ with respect to $$$t$$$

The calculator will find the integral/antiderivative of $$$1$$$ with respect to $$$t$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

Please write without any differentials such as $$$dx$$$, $$$dy$$$ etc.
Leave empty for autodetection.

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Your Input

Find $$$\int 1\, dt$$$.

Solution

Apply the constant rule $$$\int c\, dt = c t$$$ with $$$c=1$$$:

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

Therefore,

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

Add the constant of integration:

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

Answer

$$$\int 1\, dt = t + C$$$A


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