# Integral of $$$1$$$

Related calculator: Definite and Improper Integral Calculator

### Your Input

**Find $$$\int 1\, dx$$$.**

### Solution

**Apply the constant rule $$$\int c\, dx = c x$$$** with $$$c=1$$$:

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

Therefore,

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

Add the constant of integration:

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

**Answer:** $$$\int{1 d x}=x+C$$$