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Integral de $$$3^{x}$$$
Calculadora relacionada: Calculadora de integrais definidas e impróprias
Sua entrada
Encontre $$$\int 3^{x}\, dx$$$.
Solução
Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=3$$$:
$${\color{red}{\int{3^{x} d x}}} = {\color{red}{\frac{3^{x}}{\ln{\left(3 \right)}}}}$$
Therefore,
$$\int{3^{x} d x} = \frac{3^{x}}{\ln{\left(3 \right)}}$$
Add the constant of integration:
$$\int{3^{x} d x} = \frac{3^{x}}{\ln{\left(3 \right)}}+C$$
Answer: $$$\int{3^{x} d x}=\frac{3^{x}}{\ln{\left(3 \right)}}+C$$$