Math 141 Homework #13
Due Tuesday, 11/20/07
Extra Problems
Problem #1 Let n= 2m+ 1 be a positive odd integer (that is, you can write n= 2m+ 1, where mis a
nonnegative integer). Find a general formula for
Zcosnx dx.
Your answer should be a function of xin which mappears as a parameter. (Hint: Use the binomial theorem
and summation notation.)
Bonus Problem Read the Wikipedia article on tabular integration at
http://en.wikipedia.org/wiki/Integration by parts#Tabular integration by parts
and write a clear and correct explanation of how and why it works.
