- #1
bmb2009
- 90
- 0
Homework Statement
Using the normalization condition, find the constants λ and a of:
f(t)=ae^(-λt)
Homework Equations
integrate from t=-∞ to t=∞
of the function and set it equal to one
The Attempt at a Solution
I used to be good at these but something is slipping my memory...
I used u substitution to integrate by hand and I've gotten to the step...
a/-λ[(e-λt evaluated at ∞) - e-λt evaluated at -∞] =1
now, I'd say the left term in the bracket is 0 because as t goes to infinity that term drops to zero, assuming a positive value of λ. so I'm left with
a/-λ [- e-λt = 1... I'm stuck at this point because to me that term would blow up to infinity so what am I missing? thanks