What is the average value of <x> you would expect to find
in measurements carried out at time t? Leave your result
in terms of m, 
, 
and t. Any integrals which you
know to be zero by symmetry you may eliminate without justification
-- just be sure.
Hint: You will be best off by writing your expression as a
sum of integrals where you substitute in the explicit forms for
and 
at the last possible moment.
You may use the following standard integral:
