(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Find the arc length of f(x) (x^(5/4))/5

**Physics Forums | Science Articles, Homework Help, Discussion**