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

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

Related calculator: Definite and Improper Integral Calculator

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


The integral of $$$\frac{1}{x}$$$ is $$$\int{\frac{1}{x} d x} = \ln{\left(\left|{x}\right| \right)}$$$

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


$$\int{\frac{1}{x} d x} = \ln{\left(\left|{x}\right| \right)}$$

Add the constant of integration:

$$\int{\frac{1}{x} d x} = \ln{\left(\left|{x}\right| \right)}+C$$

Answer: $$$\int{\frac{1}{x} d x}=\ln{\left(\left|{x}\right| \right)}+C$$$