- #1
Ado
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Homework Statement
I need to integrate this expression :
P(k, w) = A * δ(w-k*v) * f(k, w)
A is constant and δ, Dirac Delta.
Homework Equations
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There is double integration :
I = ∫0∞ dk ∫0∞ P(k,w) dw
= A ∫∫0∞ δ(w-k*v) * f(k, w) dw dk
The Attempt at a Solution
[/B]
I'm confused with Delta Dirac for calculating this integral.
Let us proceed the w-variable integration firstly. Since the δ-term impose w = k*v, we need to calculate :
∫0∞ f(k=w/v, w) dw
But after that, there is no longer any k-dependence...
Of course I'm wrong.. can you explain me how to proceed ??
Thanks in advance !