Question

Area bounded by the curve y = xsinx and x-axis between x=0 and x=2

Answer 1

$area = \int\limits^2_0 {x\ Sin\ x} \, dx =[-x\ Cos\ x+sin\ x]_0^2\\\\= |- 2\ Cos\ 2+Sin\ 2 |$
= 1.7416  nearly = √3