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Integral de $$$5^{x}$$$
Calculadora relacionada: Calculadora de integrales definidas e impropias
Tu entrada
Halla $$$\int 5^{x}\, dx$$$.
Solución
Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=5$$$:
$${\color{red}{\int{5^{x} d x}}} = {\color{red}{\frac{5^{x}}{\ln{\left(5 \right)}}}}$$
Por lo tanto,
$$\int{5^{x} d x} = \frac{5^{x}}{\ln{\left(5 \right)}}$$
Añade la constante de integración:
$$\int{5^{x} d x} = \frac{5^{x}}{\ln{\left(5 \right)}}+C$$
Respuesta
$$$\int 5^{x}\, dx = \frac{5^{x}}{\ln\left(5\right)} + C$$$A
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