Mathwords: Area between Curves

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Area between Curves

The area between curves is given by the formulas below.

Formula 1:
	for a region bounded above and below by y = f(x) and y = g(x), and on the left and right by x = a and x = b.
Formula 2:
	for a region bounded left and right by x = f(y) and x = g(y), and above and below by y = c and y = d.
Example 1:¹	Find the area between y = x and y = x² from x = 1 to x = 2.

Example 2:¹	Find the area between x = y + 3 and x = y² from y = –1 to y = 1.

this page updated 27-aug-12
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons