Answer
$$\left( {\text{c}} \right)$$
Work Step by Step
$$\eqalign{
& {\text{We can find the area of the curve by estimating the area of }} \cr
& {\text{the square approximating the dimensions of the area:}} \cr
& {\text{Area}} \approx \left( {\frac{1}{2} - \left( { - \frac{1}{2}} \right)} \right) \times \left( 1 \right) \cr
& {\text{Area}} \approx \left( 1 \right) \times \left( 1 \right) \cr
& {\text{Area}} \approx 1 \cr
& {\text{Then the best solution is }}\left( {\text{c}} \right){\text{ }}1 \cr} $$
