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Integral de $$$\frac{1}{u}$$$
Calculadora relacionada: Calculadora de integrales definidas e impropias
Tu entrada
Halla $$$\int \frac{1}{u}\, du$$$.
Solución
La integral de $$$\frac{1}{u}$$$ es $$$\int{\frac{1}{u} d u} = \ln{\left(\left|{u}\right| \right)}$$$:
$${\color{red}{\int{\frac{1}{u} d u}}} = {\color{red}{\ln{\left(\left|{u}\right| \right)}}}$$
Por lo tanto,
$$\int{\frac{1}{u} d u} = \ln{\left(\left|{u}\right| \right)}$$
Añade la constante de integración:
$$\int{\frac{1}{u} d u} = \ln{\left(\left|{u}\right| \right)}+C$$
Respuesta
$$$\int \frac{1}{u}\, du = \ln\left(\left|{u}\right|\right) + C$$$A
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