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

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Answer 1 · 2018-03-21T20:04:54

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

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

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

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