# Arc length, area

## Homework Statement

For the curve $$y=\sqrt{x}$$ , between x = 0and x = 2, find (a) the area under the curve, (b) the arc length, (c) the volume of the solid generated when the area is revolved about the x axis, (d) the curved area of this solid.

## Homework Equations

$$ds = \sqrt {1+(y')^{2}}dx$$

## The Attempt at a Solution

I did a and c pretty easily. My problem is arc length. I wrote out the integral $$\int^{2}_{0} \sqrt{1+\frac{1}{4x}}dx$$ and realized I don't have a clue how to calculate it.

Also, for the "curved" area. Does my professor mean surface area? How do I do that?