Question

How do you find the arc length of the curve `y=xsinx` over the interval [0,pi]?

Answer 1

Find `int_0^pi sqrt(1+(dy/dx)^2) dx`

Explanation:

`dy/dx = sinx+xcosx`, so we need

`int_0^pi sqrt(1+(sinx+xcosx)^2) dx` which is about `5.04`