31–34. Area of regions Compute the area of the region bounded by the graph of f and the x-axis on the given interval. You may find it useful to sketch the region. 31. f(x) = 16 – x² on [-4, 4] 32. f(x) — х3 — х on [-1,0] 33. f(x) — 2 sin(х/4) on [0, 2т] 34. f(x) = 1/(x² + 1) on [–1, V3]

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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31–34. Area of regions Compute the area of the region bounded by
the graph of f and the x-axis on the given interval. You may find it
useful to sketch the region.
31. f(x) = 16 – x² on [-4, 4]
32. f(x) — х3 — х on [-1,0]
33. f(x) — 2 sin(х/4) on [0, 2т]
34. f(x) = 1/(x² + 1) on [–1, V3]
Transcribed Image Text:31–34. Area of regions Compute the area of the region bounded by the graph of f and the x-axis on the given interval. You may find it useful to sketch the region. 31. f(x) = 16 – x² on [-4, 4] 32. f(x) — х3 — х on [-1,0] 33. f(x) — 2 sin(х/4) on [0, 2т] 34. f(x) = 1/(x² + 1) on [–1, V3]
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