(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the arc length oh the graph f(x)=cosx on the integral [0,[tex]\frac{\pi}{2}[/tex]]

2. Relevant equations

[tex]\int^{b}_{a}[/tex][tex]\sqrt{1+{f'(x)}^{2}}[/tex]dx

3. The attempt at a solution

Alright so I took the derivative of f(x) to get f'(x)=-sinx then I squared it to get sin[tex]^{2}[/tex]x so I could plug it into the formula to get [tex]\int^{\frac{\pi}{2}}_{0}[/tex][tex]\sqrt{1+sin^{2}x}[/tex] the problem is when I try to integrate...well i can't. I tried to use substitution but since i don't have cos[tex]^{2}[/tex]x anywhere I had some issues.

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

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Arc length (mostly a problem with integration)

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