# How do you find the indefinite integral of int -(5root4(x))/2dx?

Jan 24, 2017

$- 2 {x}^{\frac{5}{4}} + C$

#### Explanation:

We will use the rules:

• $\int a f \left(x\right) \mathrm{dx} = a \int f \left(x\right) \mathrm{dx}$
• $\int {x}^{n} \mathrm{dx} = {x}^{n + 1} / \left(n + 1\right) + C$

We see that:

$\int - \frac{5 \sqrt[4]{x}}{2} \mathrm{dx} = - \frac{5}{2} \int {x}^{\frac{1}{4}} \mathrm{dx} = - \frac{5}{2} \left({x}^{\frac{5}{4}} / \left(\frac{5}{4}\right)\right) + C$

Simplifying completely gives:

$= - 2 {x}^{\frac{5}{4}} + C$