BC calc question:
Find the area of the regions enclosed by the lines and curves
y=x(sqrt(a^2-x^2)), where a0, and y=0

Question

BC calc question:
Find the area of the regions enclosed by the lines and curves
y=x(sqrt(a^2-x^2)), where a>0, and y=0

anonymous · Answer

I have tried this problem so many times and so many ways that I came here. I tried integration by parts, u-sub, etc. Any help is appreciated

anonymous · Answer

Let me clarify, I know what to do, but it comes down to integrating the first function one way or the other

anonymous · Answer

And I have no idea how to integrate that function

anonymous · Answer

@iambatman

anonymous · Answer

@dan815

anonymous · Answer

Well i think that it's a common integral

anonymous · Answer

Well I've tried solving it. Can you walk through it?

anonymous · Answer

$$\int\limits \sqrt{a^2-x^2}dx$$ right?

anonymous · Answer

x times that

anonymous · Answer

oh

anonymous · Answer

Yeah

anonymous · Answer

even easier

anonymous · Answer

u sub u=x^2, have you tried that?

anonymous · Answer

I didn't know how to do it with the two variables

anonymous · Answer

a is a constant

anonymous · Answer

WHAT

anonymous · Answer

I spent SO LONG on this problem trying to figure out how to do this

anonymous · Answer

yup you don't learn double integration in bc iirc

anonymous · Answer

no a is definitely a constant

anonymous · Answer

Hahah thanks man

anonymous · Answer

np, good luck :)

anonymous · Answer

Ok I'm still running into problems. Can you run through it with me really quickly?

anonymous · Answer

Wait actually if a is a constant, then when you derive, it goes to 0. Nevermind!