CPM Homework Help : CALC Problem 7-210

Multiple Choice: $\int \operatorname { cos } \sqrt { x } d x =$

Step 1:

First use $u$ -Sub:

Step 2:

Then use integration by parts:

$U=\sqrt{x}$

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

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

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

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

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