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

The calculator will find the integral/antiderivative of $$$e^{\frac{3}{2}}$$$, with steps shown.

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

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=e^{\frac{3}{2}}$$$:

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

Therefore,

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

Add the constant of integration:

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

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