Question

Hey, how do you find the area of the indicated region between y=x^2 and y= -1 for x in [-1, 1] ?

Answer 1

Step-by-step explanation:

Given:

`\begin{gathered} y=x^2 \\ y=-1 \\ x=\lbrack-1,1\rbrack \end{gathered}`

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.