First use $u$-substitution:

$U=\sqrt{x}$

$\frac{dU}{dx}=\frac{1}{2\sqrt{x}}$

$2\sqrt{x}dU=dx=2UdU$

$\int 2U\text{cos}(U)dU$

Then use integration by parts:

Let $f(x) = 2U$ and $dg = \cos(U)dU$.
Then $df =$ __________ and $g\left(x\right) =$ ____________.

$\text{Evaluate: }f(x)g(x)-\int g(x)df$