1. ## elementary integration

How do I integrate |x-3| from 0 to 6?

2. Originally Posted by Esiuol
How do I integrate |x-3| from 0 to 6?
$\int_0^6 |x-3| dx = \int_0^3 |x-3| dx + \int_3^6 |x-3|dx$
$\int_0^3 -(x-3) dx + \int_3^6 x-3dx$

3. Hello, Esiuol!

How do I integrate: . $\int^6_0 |x-3|\,dx$

If you make a sketch, you don't need Calculus . . .

Code:
          |
\ |                 /
3*               *
|:\           /:|
|:::\       /:::|
|:::::\ - /:::::|
- - + - - - * - - - + - -
|       3       6