Hi, I'm having a little trouble solving an integral by parts, here is what I have so far:

The integral of xsin(x/2)dx

I let u(random letter) = x.

so du = dx.

and dv = sin(x/2).

and v = cos(x/2).

Then I do UV-the integral of dvu.

I then get:

xCos(x/2) - the integral of sin(x/2)x dx

And this is the part I get confused on, am I supposed to do:

xCos(x/2) - -Cos(x/2)x dx

which means

xCos(x/2) + Cos(x/2)x dx

And from here I am lost, does anyone know what I should do?