Normalize Function: F(theta)=2*e(-theta)*sin(2*theta)

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i need to normalize(F/Fmax) the function:

F(theta)=2*e(-theta)*sin(2*theta)

where theta is <= pi/2 and F(theta) is 0 otherwise.

theta can basically go to negative infinity which would make Fmax very large.
 
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What do you mean by "normalize" here? Divide by its integral (over [itex]-\infty< \theta< \infty[/itex]) so that the integral becomes 1? Or, since you talk about "Fmax", divide by the maximum value? Do you have any reason to think that this function has either a finite integral or a finite maximum?
 

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