Find the area under the curve by integration Again

[Eutrophicati]

Homework Statement

This is a piecewise function;
Part 1: y = 360(1.029x) For domain 0 < x < 54
Find the area from x=24 to 54 hours

And Part 2: y = 3900(0.98x) + 472 For domain 54 < x < 144
Find the area from x=54 to 120

Homework Equations

http://upload.wikimedia.org/math/8/1/9/819ac78e8461a8a9c55f3f845e577620.png

The Attempt at a Solution

I still need to learn Integration =/
This is just an extra effort in itself... But I need it done in under half an hour
Please try to help if you have the time =/

 

[rock.freak667]

In this case, since you need to find area and don't know integration. If you draw your lines and then draw the two x boundaries, it will form a geometric shape, which you should be able to find the area of.

So for y = 360(1.029x), sketch this graph first and then draw the lines x=24 and x=54. What shape does the enclosed region form? Can you find the area now?