I am getting nowhere with this problem. I would appreciate it if one could show the work, including the answer. thank you.
y = 1/3x^(3/2) - x^(1/2) , [2,8]
Thanks again!
According to your headline I assume that you want to calculate the length of the curve of the function from 2 to 8 (?).
You know that the length l of the arc can be calculated by:
1. Determine the first derivative. I've got:
2. Calculate (y')²
3. Calculate
4. Now calculate the arc length:
5. I've got: