Find the centroid of the region lying underneath the graph of the function f(x) = e over the interval [0, 1]. ICM || усм =

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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Can you help me find this centroid? I've attached work I've done on this problem already, can you see where I might've messed up in solving this?

Find the centroid of the region lying underneath the graph of the function f(x) = e over the interval [0, 1].
ICM ||
усм =
Transcribed Image Text:Find the centroid of the region lying underneath the graph of the function f(x) = e over the interval [0, 1]. ICM || усм =
16] f(x) = 2
f(x) ==
1=2 over the interval (0,1)
• M= es e²-06² pp[ex]
pter) =(x)p
• Mpes xle-clar → PS₂ xe³²k²p(-x) - 2²-
P/Ele* +e)-(1)
Fetels = (12)
•Mr ==P (@10/15P 2%-ap-2
a
=
71 P (²e²+C) = 4P(-e²+1)
COMPET
E
U=X₂₁ V=₂xX
Wel...v=-ex
+-P(e²+1)
ép
eth
है
(C+T)e-1))
the
4
-e(-2²+1)
3= 4
Transcribed Image Text:16] f(x) = 2 f(x) == 1=2 over the interval (0,1) • M= es e²-06² pp[ex] pter) =(x)p • Mpes xle-clar → PS₂ xe³²k²p(-x) - 2²- P/Ele* +e)-(1) Fetels = (12) •Mr ==P (@10/15P 2%-ap-2 a = 71 P (²e²+C) = 4P(-e²+1) COMPET E U=X₂₁ V=₂xX Wel...v=-ex +-P(e²+1) ép eth है (C+T)e-1)) the 4 -e(-2²+1) 3= 4
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