Integral of $$$1$$$ with respect to $$$u$$$

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

Related calculator: Definite and Improper Integral Calculator

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Your Input

Find $$$\int 1\, du$$$.

Solution

Apply the constant rule $$$\int c\, du = c u$$$ with $$$c=1$$$:

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

Therefore,

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

Add the constant of integration:

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

Answer

$$$\int 1\, du = u + C$$$A