- #1

- 74

- 1

## Homework Statement

Evaluate the following integral:

∫

_{0}

^{∞}√(x)* e

^{-x}dx

## Homework Equations

∫

_{0}

^{∞}e

^{-x2}dx = (√π)/2

## The Attempt at a Solution

So far this is what I've done:

u = x

^{1/2}

du = 1/2 x

^{-1/2}

2 ∫ e

^{-u2}u

^{2}du

Now, I'm not really sure what to do? Or if what I've done so far is leading me down the right path