Definite Integral of loglikelihood function multipled by Gaussian
I am trying to calculate
definite_integral((-ln(2*pi)-ln(sigma)-1/2*((x-mu)/sigma)^2)*f, x, -infinity, infinity)
where
f=1/(sqrt(2*pi)*sigmaprime)*exp(-1/2*((x-muprime)/sigmaprime)^2)
using sagemath.
I have done from sage.symbolic.integration.integral import definite_integral
And I have also done
assume(sigma>0)
assume(sigmaprime>0)
however I obtain this error
ValueError: Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(muprime>0)', see `assume?` for more details)
Is muprime positive, negative or zero?
However muprime can be positive, negative or zero. So I don't know how to proceed.