Question

Use geometry to evaluate

Answer 1

@amistre64

Answer 2

you can split up the integral like so\[\int\limits_{-2}^{2}\left| x \right|dx + \int\limits_{2}^{4} 2dx + \int\limits_{4}^{6} (4-x)dx\]can you visualize that?

Answer 3

@thefurball yes

Answer 4

4+4-2

Answer 5

Right! Nice.

Answer 6

@thefurball is that is then?...so the answer is 6?

Answer 7

Yep it is! Did you think about it geometrically? Like took the area of the triangles and such?

Answer 8

Yes...I just wanted to make sure.

Answer 9

Awesome.