Re: Problems on definit integratiion of gaussian profiles
- To: mathgroup at smc.vnet.net
- Subject: [mg86820] Re: Problems on definit integratiion of gaussian profiles
- From: Bhuvanesh <lalu_bhatt at yahoo.com>
- Date: Sat, 22 Mar 2008 00:53:02 -0500 (EST)
Possibly I'm misunderstanding your question, but I don't see anything wrong with the result being independent of b. It basically boils down to the following, which is correct:
In[1]:= Integrate[Exp[-(x - a)^2], {x, -Infinity, Infinity}]
Out[1]= Sqrt[Pi]
And it's ok for the results to be different, since the integrands are different. After removing the extra -a^2/c^2 (which is just a multiplicative constant), the two integrands are:
Exp[-(b - x)^2/d^2]
Exp[-(b^2 - 2*b*d*x + x^2)/d^2]
Bhuvanesh,
Wolfram Research