In this problem you will calculate
by using the formal definition of the definite integral:
(a) The interval is divided into equal subintervals
of length . What is (in terms of )?

=

(b) The right-hand endpoint of the th subinterval is denoted
. What is (in terms of and )?

=

(c) Using these choices for and ,
the definition tells us that

What is (in terms of and )?

=

(d) Express in closed form.
(Your answer will be in terms of .)

=

(e) Finally, complete the problem by taking the limit
as of the expression that you found in the
previous part.