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