Answer: The area under a curve is calculated by Area = ∑ i = 1 n f ( c i ) ⋅ Δ x , where is the -value of the point of the box that hits the curve, f ( c i ) is the -value at that point, and is the width of the box. For a curve defined on the interval , Δ x = b − a n , where is the number of rectangles or boxes.
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.
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