Use the Method of Midpoint Rectangles (do NOT use the integral or antiderivative) to approximate the area under the curve f(x) = x2 + 2x + 4 from x = 5 to x = 35. Use n = 5 rectangles to find your approximation. 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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Use the Method of Midpoint Rectangles (do NOT use the integral or antiderivative) to approximate
the area under the curve f(x)
find your approximation.
x2 + 2x + 4 from x = 5 to x = 35. Use n = 5 rectangles to
Answer =
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Transcribed Image Text:Use the Method of Midpoint Rectangles (do NOT use the integral or antiderivative) to approximate the area under the curve f(x) find your approximation. x2 + 2x + 4 from x = 5 to x = 35. Use n = 5 rectangles to Answer = Submit Question
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The area under any curve f(x) i.e. the area between the curve of f(x), defined in the interval [a,b], and the x-axis is given by the following definite integral:

Area=abf(x)dx

This integral value can be approximated using the mid-point rule.

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