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Integral de $$$\frac{1}{x}$$$
Calculadora relacionada: Calculadora de integrais definidas e impróprias
Sua entrada
Encontre $$$\int \frac{1}{x}\, dx$$$.
Solução
The integral of $$$\frac{1}{x}$$$ is $$$\int{\frac{1}{x} d x} = \ln{\left(\left|{x}\right| \right)}$$$
$${\color{red}{\int{\frac{1}{x} d x}}} = {\color{red}{\ln{\left(\left|{x}\right| \right)}}}$$
Therefore,
$$\int{\frac{1}{x} d x} = \ln{\left(\left|{x}\right| \right)}$$
Add the constant of integration:
$$\int{\frac{1}{x} d x} = \ln{\left(\left|{x}\right| \right)}+C$$
Answer: $$$\int{\frac{1}{x} d x}=\ln{\left(\left|{x}\right| \right)}+C$$$