Integral of $$$1$$$ with respect to $$$u$$$
Related calculator: Definite and Improper Integral Calculator
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