Let f(x) = x2 and compute the Riemann sum of f over the interval [7,9], using the following number of subintervals (n). In each case, choose the representative points to be the right endpoints of the subintervals. (Round your answers to two decimal places.) (a) Use two subintervals of equal length (n = 2). (b) Use five subintervals of equal length (n = 5). (c) Use ten subintervals of equal length (n = 10).
Riemann Sum
Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.
Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
Let f(x) = x2 and compute the Riemann sum of f over the interval [7,9], using the following number of subintervals (n). In each case, choose the representative points to be the right endpoints of the subintervals. (Round your answers to two decimal places.)
(a) Use two subintervals of equal length (n = 2).
(b) Use five subintervals of equal length (n = 5).
(c) Use ten subintervals of equal length (n = 10).
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 7 images
