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Changing Limits of Integration affects variable substitution?

 
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Sep23-09, 10:48 AM   #1
 

Changing Limits of Integration affects variable substitution?


1. The problem statement, all variables and given/known data

see attached

2. Relevant equations



3. The attempt at a solution
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Sep23-09, 09:12 PM   #2
 
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not exactly sure what the question is...

couple of points though, it is usually easier to use a different dummy variable when you use a subtitution

say you have
[tex] \int_b^a dt f(t) [/tex]

and want to change to u(t) = t/2, then
t=2u
dt = 2.du
u(a) = a/2
u(b) = b/2

so the integral becomes
[tex] \int_{b/2}^{a/2} 2.du f(2u) [/tex]

see how this compares with your case...
 
Sep26-09, 12:28 AM   #3
 
thanks
 
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