I wanna compute the integral of int_0^+inf exp(-1/2*(x+q)^2)*x^n *dx. First I logarithmized the expression which includes this integral. How can i handle its logarithmized?
Is it equal to int_0^+inf (-1/2*(x+q)^2+n*log(x))*1/x*dx? And the new limits of integration are they equal?
Any tip or reference is very welcome.