Question

evaluate the integral ∫xsin x/2 dx

Answer 1

parts?

Answer 2

yeah integrate by parts.
\[\int fdg=fg-\int gdf\] use
\[f=x\]
\[df=1\]
\[dg=\sin(\frac{x}{2})\]
\[g=-2\cos(\frac{x}{2})\] and you get it in one step basically
\[-2x\cos(x)+2\int\cos(\frac{x}{2})dx\]