What is the integral of (-4)/(sqrt(x)) ?

The integral of (-4)/(sqrt(x)) is -8sqrt(x)+C

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integral of (-4)/(sqrt(x))

\int \frac{- 4}{x} d x

- 8 x + C

Solution steps

\int \frac{- 4}{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 4 \cdot \int \frac{1}{x} d x

Apply the Power Rule

= - 4 \cdot 2 x^{\frac{1}{2}}

Simplify

- 4 \cdot 2 x^{\frac{1}{2}} : - 8 x

= - 8 x

Add a constant to the solution

= - 8 x + C

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What is the integral of (-4)/(sqrt(x)) ?
The integral of (-4)/(sqrt(x)) is -8sqrt(x)+C