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