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## Homework Statement

[tex]F(x) \ = \ \int\limits_{1}^{x^2}{\frac{10}{2+t^3}} \ dt[/tex]

Where [tex]{0}\leq{t}\leq{4}[/tex].

Find the domain of F.

## Homework Equations

N/A

## The Attempt at a Solution

I'm not quite sure how to tackle this problem. It doesn't seem as though the domain of t has much at all to do with the domain of F(x), so could anyone steer me in the correct direction on how to approach this?