Integral of $$$\frac{1}{5}$$$

The calculator will find the integral/antiderivative of $$$\frac{1}{5}$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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Your Input

Find $$$\int \frac{1}{5}\, dx$$$.

Solution

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=\frac{1}{5}$$$:

$${\color{red}{\int{\frac{1}{5} d x}}} = {\color{red}{\left(\frac{x}{5}\right)}}$$

Therefore,

$$\int{\frac{1}{5} d x} = \frac{x}{5}$$

Add the constant of integration:

$$\int{\frac{1}{5} d x} = \frac{x}{5}+C$$

Answer

$$$\int \frac{1}{5}\, dx = \frac{x}{5} + C$$$A


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