Integral de $$$e^{\frac{3}{2}}$$$

A calculadora encontrará a integral/antiderivada de $$$e^{\frac{3}{2}}$$$, com os passos mostrados.

Encontre $$$\int e^{\frac{3}{2}}\, dx$$$.

Aplique a regra da constante $$$\int c\, dx = c x$$$ usando $$$c=e^{\frac{3}{2}}$$$:

$${\color{red}{\int{e^{\frac{3}{2}} d x}}} = {\color{red}{x e^{\frac{3}{2}}}}$$

Portanto,

$$\int{e^{\frac{3}{2}} d x} = x e^{\frac{3}{2}}$$

Adicione a constante de integração:

$$\int{e^{\frac{3}{2}} d x} = x e^{\frac{3}{2}}+C$$

$$$\int e^{\frac{3}{2}}\, dx = x e^{\frac{3}{2}} + C$$$A