How to find the area

[Guest]

Find the area of the region [tex]\mathcal{R}[/tex] defined by

[tex]\mathcal{R} = \left\{ (x, y) : x \geq -1, \ 0 \leq y \leq e^{-x/2} \right\}[/tex].

I need confirmation for this question, is the answer [tex]\sqrt{e}/2[/tex] or not?

[Guest]

Infinite amount of space?