# Thread: Integrating Absolute values

1. ## Integrating Absolute values

Hello
im stuck with this problem and badly need help:
$\int_{-3}^{3} \sqrt{3+|x|} dx$

2. Originally Posted by ^_^Engineer_Adam^_^
Hello
im stuck with this problem and badly need help:
$\int_{-3}^{3} \sqrt{3+|x|} dx$
$\int_{-3}^{3} \sqrt{3+|x|} dx=\int_{-3}^{0} \sqrt{3-x}~ dx + \int_{0}^{3} \sqrt{3+x}~ dx$

RonL

3. Good morning Adam:

You can break it up into two integrals. That's mostly the best with an absolute value.

Since it's symmetrical about the y-axis:

$2\int_{0}^{3}\sqrt{3+x}dx$

Or

$\int_{-3}^{0}\sqrt{3-x}dx+\int_{0}^{3}\sqrt{3+x}dx$

4. thanks!
good morning