Area Under the Curve Formula with Solved Example

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Area Under the Curve FormulaArea Under the Curve Formula
Area Under the Curve Formula

Area Under the Curve Formula

The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.

Formula for Area under the Curve

SOLVED EXAMPLES

Question 1: Calculate the area under the curve of a function, f(x) = 7- x2, the limit is given as  x = -1 to 2 ?
Solution:

Given function is, f(x) = 7- x2 and limit is x = -1 to 2

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