Define a substitution variable u and write ;dr in terms of only u. (2x – 1)2 You do not need to solve the resulting integral.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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14. (a) Define a substitution variable u and write
1
dr in terms of only u.
(2x – 1)2
You do not need to solve the resulting integral.
(b) Determine the point(s) of intersection of the graphs of f(x) = x² – 2 and g(x) = x + 1.
(c) Use your answer in (b) to state the integral that represents the total area bounded between
the curves f(x) = x² – 2 and g(x) = x+1. You do not have to evaluate the integral.
Transcribed Image Text:14. (a) Define a substitution variable u and write 1 dr in terms of only u. (2x – 1)2 You do not need to solve the resulting integral. (b) Determine the point(s) of intersection of the graphs of f(x) = x² – 2 and g(x) = x + 1. (c) Use your answer in (b) to state the integral that represents the total area bounded between the curves f(x) = x² – 2 and g(x) = x+1. You do not have to evaluate the integral.
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