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
