1. The problem statement, all variables and given/known data find the arc length of f(x) (x^(5/4))/5. The integration limits are from 0 to 4. 2. Relevant equations The arc length formula is integrate sqrt(1 + (f'(x))^2) 3. The attempt at a solution f'(x) = (5/4)*(1/5)*x^(1/4) = x^(1/4)/4 integral of sqrt(1 + (x^(1/4)/4)^2) = integral of sqrt(1 + sqrt(x)/16) The part I am stuck on is getting rid of either sqrt roots. Ive tried this: integral of sqrt(sqrt(x)/sqrt(x)/ + x/(sqrt(x)16)) but that didnt get me any where....Any idea how to simplify this? Im thinking that there is some sort of algebraic simplification that I am missing.