Integral de $$$3^{t}$$$

A calculadora encontrará a integral/antiderivada de $$$3^{t}$$$, com os passos mostrados.

Encontre $$$\int 3^{t}\, dt$$$.

Apply the exponential rule $$$\int{a^{t} d t} = \frac{a^{t}}{\ln{\left(a \right)}}$$$ with $$$a=3$$$:

$${\color{red}{\int{3^{t} d t}}} = {\color{red}{\frac{3^{t}}{\ln{\left(3 \right)}}}}$$

Portanto,

$$\int{3^{t} d t} = \frac{3^{t}}{\ln{\left(3 \right)}}$$

Adicione a constante de integração:

$$\int{3^{t} d t} = \frac{3^{t}}{\ln{\left(3 \right)}}+C$$

$$$\int 3^{t}\, dt = \frac{3^{t}}{\ln\left(3\right)} + C$$$A

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