CPM Homework Help : CALC Problem 7-210

Multiple Choice: Homework Help ✎
1. sin + C
2. 2x sin x − 2 sin x + C
3. 2sin + 2 cos + C
4. 2x cos x − 2 sin x + C
5. 2cos + 2 cos + C

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 = cos(U)dU
Find df = __________ and g(x) = ____________.

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