Using the following fact and a bit of working around we can find f(n).
For finding f(n) we must know f(1),f(2),......f(n-1).
The following method illustrates the way to find the sum of 4th power of natural numbers , the same can be used for finding for any nth power.
To try a problem based on this go below.
Adding rectangular areas
Find the area bounded between , the -axis, and .
Notation: denotes the floor function.