Chapter 4, Problem 1RE

Classify each statement as either true or false.

Riemann sums are a way of approximating the area under a curve by using rectangles.

To determine

Whether the statement “Riemann sums area way of approximating the area under the curve by using the rectangles” is true or false.

Answer to Problem 1RE

Solution: The statement Riemann sums area way of approximating the area und the curve by using the rectangles is True.

Explanation of Solution

Given Information:

The statement provided in the question is Riemann sums area way of approximating the area und the curve by using the rectangles.

In Riemann summation process, the area under the curve is been divided in many rectangles, and then the area of each rectangle is added in order to calculate the total area under the curve.

Hence, the statement Riemann sums area way of approximating the area und the curve by using the rectangles is True.