Sketch the region enclosed by the given curves and calculate its area. y=4-x^2 ,y=0

The answer is 32/3. But how do I get to that answer?

Step-by-step explanation:

1.) we need to find the bounds of integration which is just the points of intersection

here is it (-2,0) and (2,0)

which means we will integrate from -2 to 2

next, we take the upper equation and subtract that from the lower one

kind of confusing but it would look like (sketch it out if you're not sure)

(4-x²)-0= 4-x²

then we can integrate

step- i d k and i d c : )

you: : 0

bye

faster, im not sure why but i know it is faster