Find the area under the curve f (x) = x° from x = 0 to 2 using LRAM, MRAM, and RRAM, each using n = 4, and also using integration. Show all your work.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the area under the curve f (x) = x° from x = 0 to 2 using
LRAM, MRAM, and RRAM, each using n = 4, and also using
integration. Show all your work.
Transcribed Image Text:Find the area under the curve f (x) = x° from x = 0 to 2 using LRAM, MRAM, and RRAM, each using n = 4, and also using integration. Show all your work.
Expert Solution
Step 1

The given function is:

f(x)=x3

To find the area under the curve from x=0 to 2 using left Reimann sum, mid-Riemann sum and right Reimann sum using n=4.

So, x=2-04=12

So, intervals are with the endpoints x0=0, x1=0.5, x2=1, x3=1.5, x4=2

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