does anyone know how to evaluate this integral
where and are constants
You fail to mention the limits of integration.
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This is what I will assume:
1)
2)The limits of integration are from .
3)And .
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We can ignore the constant and instead consider:
Use the functional substitution :
Now use the substitution :
Realize that this is the Beta Integral.
Thus,
We can convert this to the Gamma function.
So if are positive integers we end up with a nice looking result in the end.
This is Mine 6th Post!!!