(a) Find the exact area under the curve y = 1/x³ from x = 1 to x = t for t = 10, 100, and 1000. t = 10: t = 100: t = 1000: (b) Find the total area under the curve y = 1/³ for x ≥ 1. If the area is infinite, type "infinity" in lower-case letters for your answer. Total area =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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(a) Find the exact area under the curve y = 1/x³ from x = 1 to x = t for t = 10, 100, and 1000.
t = 10:
t = 100:
t = 1000:
(b) Find the total area under the curve y = 1/x³ for x ≥ 1. If the area is infinite, type "infinity" in lower-case letters for your
answer.
Total area =
FI
I-
ID
A
Transcribed Image Text:(a) Find the exact area under the curve y = 1/x³ from x = 1 to x = t for t = 10, 100, and 1000. t = 10: t = 100: t = 1000: (b) Find the total area under the curve y = 1/x³ for x ≥ 1. If the area is infinite, type "infinity" in lower-case letters for your answer. Total area = FI I- ID A
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