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Integral of $$$1$$$

The calculator will find the integral/antiderivative of $$$1$$$, 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 $$$\int 1\, dx$$$.

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

Related Notes: Substitution (Change of Variable) Rule , Integration by Parts , Concept of Antiderivative and Indefinite Integral , Integrals Involving Trig Functions , Trigonometric Substitutions In Integrals , Integrals Involving Rational Functions , Integration Formulas (Table of Indefinite Integrals) , Properties of Indefinite Integrals , Table of Antiderivatives