Hello everyone, here is my question. Now my brain may be muddled after thirty two hours without sleep, but
Consider for a second
is describing the area under a portion of a semi-circle of radius .
For sake of numerics but not straying completely away from calculus, instead of doing a nasty trig sub, would it be correct/easier to say
describes of this semicircle, where is obviously to be determined case wise.
So if we think about it we can parametrize our circle in terms
So could we not say that
Which would be a much easier calculation. Is this correct in its assumption?
Once again, if this is soo apparently obvious sorry for posting, but if anyone could give me a feasible reason why this is not easier but at the same time using calculus, please do tell.