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#1 2009-01-01 08:25:07
- Andrew_
- Guest
Integral Proof
Hello,
First I would aprreciate if anyone can confirm that the following integral equation is true :
a is a certain parameter and p and q are constants.
If true then any ideas on how this can be proved ?
#2 2009-01-01 11:12:15
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Integral Proof
Well, since p and q are constant, dp/da and dq/da are both zero and so the only the first term of the right-hand side is important.
So now the only difference between the left and right side is in the order of the operations. I'm fairly sure that the order doesn't affect the value they take though.
Why did the vector cross the road?
It wanted to be normal.
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#3 2009-01-01 11:54:00
- Daniel123
- Member
- Registered: 2007-05-23
- Posts: 663
Re: Integral Proof
It wouldn't have anything to do with this, would it? http://en.wikipedia.org/wiki/Differentiation_under_the_integral_sign
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#4 2009-01-02 07:45:38
- Andrew_
- Guest
Re: Integral Proof
Thanks a million guys .... wikipedia has it all.
#5 2009-01-02 07:48:38
- Andrew_
- Guest
Re: Integral Proof
Well, since p and q are constant, dp/da and dq/da are both zero and so the only the first term of the right-hand side is important.
So now the only difference between the left and right side is in the order of the operations. I'm fairly sure that the order doesn't affect the value they take though.
You're right . The integrals Im working with in the kinetical molecular theory are gaussian, and yes I can substitute d/da for the integral and solve. However I was looking for some proof of the more general solution and wikipedia has just that.
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