Geometric Meaning of Definite Integral
When the function is continuous on the closed interval and , the definite integral represents the area of the region enclosed by the curve , the -axis, and the two vertical lines and .
Area Between a Curve and the -axis
When the function is continuous on the closed interval , the area of the region enclosed by the curve , the -axis, and the vertical lines and is given by:
Area Between Two Curves
When two functions and are continuous on the closed interval , the area of the region enclosed by the curves , , and the vertical lines and is given by:
