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Area under a Curve

Estimating area under a curve expressed as a function of x or as a function of y and relating it to definite integrals.

Mapped to AP College Board # CHA-5, CHA-5.A, CHA-5.A.1, CHA-5.A.2, CHA-5.A.3

Definite integrals allow us to solve problems involving the accumulation of change in area or volume over an interval. Calculate areas in the plane using the definite integral. Areas of regions in the plane can be calculated with definite integrals. Areas of regions in the plane can be calculated using functions of either x or y. Areas of certain regions in the plane may be calculated using a sum of two or more definite integrals or by evaluating a definite integral of the absolute value of the difference of two functions.