- #1

calisoca

- 28

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## Homework Statement

Find the antiderivative of [tex] F(x) \ = \ \sqrt{\frac{5}{x}} [/tex]

## Homework Equations

[tex] F(x) \ = \ \sqrt{\frac{5}{x}} [/tex]

## The Attempt at a Solution

1.) [tex] F(x) \ = \ \sqrt{\frac{5}{x}} [/tex]

2.) [tex] F(x) \ = \ (\frac{5}{x})^\frac{1}{2} [/tex]

3.) [tex] F(x) \ = \ \frac{5^\frac{1}{2}}{x^\frac{1}{2}} [/tex]

4.) [tex] F(x) \ = \ (5^\frac{1}{2})(x^\frac{-1}{2}) [/tex]

This is where I am stuck. I can find the antiderivative of the [tex] x^\frac{-1}{2} [/tex] term, which would be [tex] 2\sqrt{x} [/tex], but I'm not sure where to go with the [tex] 5^\frac{1}{2} [/tex] term.

Any help would be greatly appreciated.