# How do you find the antiderivative of f(x)=8x?

Mar 6, 2017

$4 {x}^{2} + C$

#### Explanation:

Use the standard power rule for integration,

$\int a {x}^{n} \mathrm{dx} = \frac{a {x}^{n + 1}}{n + 1} + C$

so

$\int 8 {x}^{1} \mathrm{dx} = \frac{8 {x}^{2}}{2} + C = 4 {x}^{2} + C$