Let f be the function defined by ƒ (x) = cos( (/T). (a) Approximate the definite integral| f(x) dx using a 1 midpoint Riemann sum with the subintervals [1, 1.6], [1.6, 2], and [2, 3]. Show the work that leads to your answer. 3 (b) Approximate the definite integral | f(x) da using a 1 trapezoidal sum with the subintervals [1, 1.6], [1.6, 2], and 2, 3. Show the work that leads to your answer.

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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Let f be the function defined by f (x) = cos(/x).
COS
3
(a) Approximate the definite integral| f(x)dx using a
1
midpoint Riemann sum with the subintervals [1, 1.6],
[1.6, 2], and [2, 3]. Show the work that leads to your
answer.
3
(b) Approximate the definite integral
| f (x) d'a using a
1
trapezoidal sum with the subintervals [1, 1.6], [1.6, 2], and
2, 3|. Show the work that leads to your answer.
Transcribed Image Text:Let f be the function defined by f (x) = cos(/x). COS 3 (a) Approximate the definite integral| f(x)dx using a 1 midpoint Riemann sum with the subintervals [1, 1.6], [1.6, 2], and [2, 3]. Show the work that leads to your answer. 3 (b) Approximate the definite integral | f (x) d'a using a 1 trapezoidal sum with the subintervals [1, 1.6], [1.6, 2], and 2, 3|. Show the work that leads to your answer.
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