Question

The area enclosed by the functions
y= Square root of (9-x^2) and y=0

Answer 1

Do you know what the graph looks like?

Answer 2

Yes I have the graph but how would I come upon finding the area?

Answer 3

\[\int\limits_{0}^{3} \sqrt{9-x^2} dx\]
Right?

Answer 4

Yes, that's it.

Answer 5

So just integrate that

Answer 6

Would integrating give me the area? I've never done a problem like this before.

Answer 7

Hmm looks like we need to apply a trig sub perhaps. :)
Have you learned about trig subs yet?

Answer 8

I know how to integrate, it's just I've never applied it to finding areas before.
I might know what trig subs are.

Answer 9

But to answer your earlier question ~ Yes, integrating over a specific region gives us the area under that function.