00:01
We'll be looking at why equals radical to minus x squared will want to use the arc length formula, which has a why prime in it.
00:12
So we'll want to differentiate, what with respect to x.
00:16
So we get negative x over radical to minus x squared.
00:26
So we're on the interval.
00:29
X is greater than or equal to zero, but less than or equal to one.
00:36
So we will use that in arc length formula, putting in zero and one for our a and b one plus plugging in.
00:47
Why prime here squared t x and then we can simplify this.
01:03
Let's go to the next page.
01:09
Um, we can see that x squared er negative x squared is going to be x squared over to minus x squared because squaring the radical cancels out and then plus one next will come over here and adding the one we can just say one.
01:51
This is another way we can write one so that we can adhere.
02:04
Um, thes cancel out and we're left with two over two minus x squared under the radical still d x equal.
02:27
Come to the next page here so we can pull out the radical, too.
02:32
And we're left with the integral 0 to 11 over radical to minus x squared dx...