The problem is to show that where g is an odd 2L periodic function and g(L-x)=g(x) I don't understand the following change of variables: But if if the above is true, then it's easy to see that
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Originally Posted by Random Variable The problem is to show that where g is an odd 2L periodic function and g(L-x)=g(x) I don't understand the following change of variables: But if if the above is true, then it's easy to see that Let using this we get To figure out the new limits of integration plug them into the above eqation for s. So we get Now just do the same thing for the bottom limit.
But then the bottom limit would be . What am I not understanding? Wait. If g is 2L periodic, then then an antiderivative of g is also 2L periodic.
Last edited by Random Variable; Feb 20th 2010 at 08:58 PM.
Originally Posted by Random Variable But then the bottom limit would be . What am I not understanding? The function is 2L periodic so you can can add any multiple of 2L as many times as you want It is exactly like adding to this integral I hope this helps
Wow. That was a brain fart of epic proportions.
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