s = integration sign Integration by parts....
Sxsn(2x) dx
Is this your integral: $\displaystyle \int x\sin (2x) dx$
As you suggested, do integration by parts: $\displaystyle \int u dv = uv - \int vdu$
$\displaystyle \begin{array}{lll} u = x & \quad & dv = \sin 2x dx\\ du = dx & \quad & v = \int (\sin 2x ) dx \end{array}$