Integral of $$$\frac{1}{p}$$$
The calculator will find the integral/antiderivative of $$$\frac{1}{p}$$$, with steps shown.
Related calculator: Definite and Improper Integral Calculator
Your Input
Find $$$\int \frac{1}{p}\, dp$$$.
Solution
The integral of $$$\frac{1}{p}$$$ is $$$\int{\frac{1}{p} d p} = \ln{\left(\left|{p}\right| \right)}$$$:
$${\color{red}{\int{\frac{1}{p} d p}}} = {\color{red}{\ln{\left(\left|{p}\right| \right)}}}$$
Therefore,
$$\int{\frac{1}{p} d p} = \ln{\left(\left|{p}\right| \right)}$$
Add the constant of integration:
$$\int{\frac{1}{p} d p} = \ln{\left(\left|{p}\right| \right)}+C$$
Answer
$$$\int \frac{1}{p}\, dp = \ln\left(\left|{p}\right|\right) + C$$$A