Find the area under the curve y = 5xe- for x > 4. area =|| %3D

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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I need help solving the area. The example doesn’t help
Find the area under the curve y = 5xe- for x > 4.
%3D
area
Transcribed Image Text:Find the area under the curve y = 5xe- for x > 4. %3D area
Find the area under the curve y = 7xe¯ª for x > 0.
area = 7. (0+1)e
0-
Solution:
SOLUTION
Since the graph is above the x-axis for a > 0, we have (using integration by parts)
Area =
7xe- dx = lim
7xe dx =
lim
b00
= lim (-be ' – Te*) =
-7xe
7e dx
b00
lim (-be-b – 7e-b+7e°) = 7.
20
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F4
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F8
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Transcribed Image Text:Find the area under the curve y = 7xe¯ª for x > 0. area = 7. (0+1)e 0- Solution: SOLUTION Since the graph is above the x-axis for a > 0, we have (using integration by parts) Area = 7xe- dx = lim 7xe dx = lim b00 = lim (-be ' – Te*) = -7xe 7e dx b00 lim (-be-b – 7e-b+7e°) = 7. 20 F3 000 000 F4 II F8 F2 E5 F6 F7 F9 $ & * 3 5 7 8 Y 6
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