Definition:Signed Area

Definition

Consider the plane region described by a graph in the $xy$-plane.

The signed area of the region is the area such that:

The area of the graph on or above the $x$-axis is defined as positive

The area of the graph below the $x$-axis is defined as negative.

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Also see

• Definition:Definite Integral
• Definition:Riemann Sum

Sources

• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): signed area