Use the trapezoidal rule to approximate 12x³ dx, using three non-uniform partitions at {0, 0.25, 1.5, 2}. O (03 +0.25³)(1) + (0.25³ + 1.5³)(1) + (1.53 +2³)(1) O 0.5[(03 + 0.25³) (0.5) + (0.253 +1.5³) (0.5) + (1.53 +23) (0.5)] (03+0.253) (0.25) + (0.253 + 1.5³) (1.25) + (1.53 +2³)(0.5) O 0.5[(03 + 0.25³)(0.25) + (0.253 + 1.5³) (1.25) + (1.53 +23) (0.5)]

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...
Question
Use the trapezoidal rule to approximate 12x³ dx, using three non-uniform partitions at {0, 0.25, 1.5, 2}.
O (03 +0.25³)(1) + (0.25³ + 1.5³)(1) + (1.53 +2³)(1)
O 0.5[(03 + 0.25³) (0.5) + (0.253 +1.5³) (0.5) + (1.53 +23) (0.5)]
(03+0.253) (0.25) + (0.253 + 1.5³) (1.25) + (1.53 +2³)(0.5)
O 0.5[(03 + 0.25³)(0.25) + (0.253 + 1.5³) (1.25) + (1.53 +23) (0.5)]
Transcribed Image Text:Use the trapezoidal rule to approximate 12x³ dx, using three non-uniform partitions at {0, 0.25, 1.5, 2}. O (03 +0.25³)(1) + (0.25³ + 1.5³)(1) + (1.53 +2³)(1) O 0.5[(03 + 0.25³) (0.5) + (0.253 +1.5³) (0.5) + (1.53 +23) (0.5)] (03+0.253) (0.25) + (0.253 + 1.5³) (1.25) + (1.53 +2³)(0.5) O 0.5[(03 + 0.25³)(0.25) + (0.253 + 1.5³) (1.25) + (1.53 +23) (0.5)]
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