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Integral of $$$0$$$

The calculator will find the integral/antiderivative of $$$0$$$, 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 $$$\int 0\, dx$$$.

Solution

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=0$$$:

$${\color{red}{\int{0 d x}}} = {\color{red}{\left(0\right)}}$$

Therefore,

$$\int{0 d x} = 0$$

Add the constant of integration:

$$\int{0 d x} = 0+C=C$$

Answer

$$$\int 0\, dx = C$$$A

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