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

Question

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

luigi0210 · Answer

Do you know what the graph looks like?

anonymous · Answer

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

luigi0210 · Answer

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

anonymous · Answer

Yes, that's it.

luigi0210 · Answer

So just integrate that

anonymous · Answer

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

zepdrix · Answer

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

anonymous · Answer

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

zepdrix · Answer

But to answer your earlier question ~ Yes, integrating over a specific region gives us the area under that function.|dw:1376616112529:dw|