Posted by **Liz** on Wednesday, December 19, 2012 at 5:36pm.

Find the length of the arc along f(x) = integral from 0 to x^3 sqrt(cos t) dt on the set of x [0, pi/3].

- calc arc length -
**Count Iblis**, Wednesday, December 19, 2012 at 7:11pm
You need to integrate sqrt[1+f'(x)^2] from x = 0 to pi/3. Computing the derivative of f(x) is not difficult, you can use the chain rule, substitute u = x^3 for the upper limit and use that the derivative w.r.t. x is the derivative w.r.t u times the derivative of of u w.r.t. x. The derivative w.r.t. u is, by the Fundamental Theorem of Calculus, equal to sqrt[cos(u)].

## Answer This Question

## Related Questions

- AP Calc B/C - Find the arc length of one arch of the sine curve. I started it by...
- Calculus - I know how to do this problem, but I'm stuck at the arc length ...
- calculus - Find the length of the arc formed by y = (1/8)(4x^2-2ln(x)) from x=4 ...
- apex geometry - Hannah constructed two similar circles as seen in the image ...
- calc: arc length - Posted by COFFEE on Monday, June 11, 2007 at 11:48pm. find ...
- CALCULUS 2!!! PLEASE HELP!! - I'm having trouble with this question on arc ...
- calc: arc length - find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x...
- Math Arc Length - Find the arc length corresponding to an angle of a degrees on ...
- Calculus - Find arc length of y=logx from x=1 to x=2. dy/dx)^2=1/x^2 arc length=...
- MATHS - Find arc length of y=logx from x=1 to x=2. dy/dx)^2=1/x^2 arc length=Int...

More Related Questions