Use the arc length formula to find the length L of the curve below, 0 ≤ x ≤ 2. Check your answer by noting that the curve is part of a circle.
y=sqrt(8-x^2)
Here is my work:
ds = sqrt(1+(dy/dx)^2)
dy/dx = x/sqrt(8-x^2)
s=int(sqrt(1-(x^2/(x^2-8)))) from 0 to 2
where ds is a smal portion of the arc and s is the total arclength
My problem comes from where s is equal to the integral, I don't know how to integrate it. Thanks for any help!