Use the arc length formula to find the lengthLof 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!