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

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

Find $$$\int \frac{1}{z}\, dz$$$.

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

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

Therefore,

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

Add the constant of integration:

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

$$$\int \frac{1}{z}\, dz = \ln\left(\left|{z}\right|\right) + C$$$A