Integral de $$$11 e^{u}$$$

Encontre $$$\int 11 e^{u}\, du$$$.

Aplique a regra do múltiplo constante $$$\int c f{\left(u \right)}\, du = c \int f{\left(u \right)}\, du$$$ usando $$$c=11$$$ e $$$f{\left(u \right)} = e^{u}$$$:

$${\color{red}{\int{11 e^{u} d u}}} = {\color{red}{\left(11 \int{e^{u} d u}\right)}}$$

A integral da função exponencial é $$$\int{e^{u} d u} = e^{u}$$$:

$$11 {\color{red}{\int{e^{u} d u}}} = 11 {\color{red}{e^{u}}}$$

Portanto,

$$\int{11 e^{u} d u} = 11 e^{u}$$

Adicione a constante de integração:

$$\int{11 e^{u} d u} = 11 e^{u}+C$$

$$$\int 11 e^{u}\, du = 11 e^{u} + C$$$A