Signed and Unsigned Area under a Curve

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This Demonstration calculates the area between the axis and the graph of the function
from
to
. The area is usually taken to be signed, so that parts below the axis are negative and those above are positive. However, integrating the absolute value of the function gives the unsigned area.
Contributed by: Benjamin Faucher (March 2011)
Open content licensed under CC BY-NC-SA
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"Signed and Unsigned Area under a Curve"
http://demonstrations.wolfram.com/SignedAndUnsignedAreaUnderACurve/
Wolfram Demonstrations Project
Published: March 7 2011