Intergral interpretation

• Aug 30th 2009, 01:41 PM
Casas4
Intergral interpretation
You are given four points in the plane A = (-3,-6), B = (0,5), C = (3,-2), and D = (6,7). The graph of the function f(x) consists of the three line segment AB, BC, and CD. Find the integral http://webwork.math.uwyo.edu/webwork...8c55b37701.png by interpreting the integral in terms of the sums and/or differences of areas of elementary figures.

I drew this out and tried to figure out how to draw the shapes but I think I keep messing up my picture.

Thanks to anyone who can help!
• Aug 30th 2009, 01:54 PM
skeeter
Quote:

Originally Posted by Casas4
You are given four points in the plane A = (-3,-6), B = (0,5), C = (3,-2), and D = (6,7). The graph of the function f(x) consists of the three line segment AB, BC, and CD. Find the integral http://webwork.math.uwyo.edu/webwork...8c55b37701.png by interpreting the integral in terms of the sums and/or differences of areas of elementary figures.

I drew this out and tried to figure out how to draw the shapes but I think I keep messing up my picture.

Thanks to anyone who can help!

...
• Aug 30th 2009, 05:16 PM
Casas4
From here though how do I split the shapes. Just into 4 triangles? I tried a few different ways. I dont know why Im making this so hard. Thanks