Answer:
Step-by-step explanation:
Given:
![\begin{gathered} y=x^2 \\ y=-1 \\ x=\lbrack-1,1\rbrack \end{gathered}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/4oiqakcyicjjmylqs5di.png)
To find the are between curves on an interval [a,b], we use the formula:
The graph for the given equations on an interval [-1,1] is shown below.
So, we let:
Next, we apply them to the area formula:
Simplify:
Therefore, the area is 8/3.