Determine the resulting definite integral after making the following substitution:eSiz dx where u=Inx1x ln xO a) Si ueOb) So 1/12 duUO c)JIdu1So In ure1du

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Answered: Determine the resulting definite…

Determine the resulting definite integral after making the following substitution: Se dx where u=lnx 1 x ln x O al fet du a) b) c) f 1 1 1 1/2 d u 1 1 So in u d u

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.3: Area And The Definite Integral

Problem 22E

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Question

100%

Determine the resulting definite integral after making the following substitution:
e
Siz dx where u=Inx
1
x ln x
O a) Si u
e
O
b) So 1/12 du
U
O c)
JI
du
1
So In u
re
1
du

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Step 1: Requirement of the question

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Step 2: First rearrange the terms before the substitution

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Step 3: Now substitute u=lnx and change the limits as per the new variable u

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