The average value of a continuous function g(x) between x = a
and x = b where a < b is given by
. Say that a metal rod of length 1 meter is put into an oven (as
one typically does with metal rods), and then the temperature
distribution in degrees Kelvin over the length of the rod is given
by the function
where x is the distance from an end of the rod. Calculate the
average temperature over the length of the rod.