- #1
Bryon
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Homework Statement
find the arc length of f(x) (x^(5/4))/5.
The integration limits are from 0 to 4.
Homework Equations
The arc length formula is integrate sqrt(1 + (f'(x))^2)
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? I am thinking that there is some sort of algebraic simplification that I am missing.